Details

Time bar (total: 25.7s)

analyze552.0ms (2.1%)

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)

sample7.5s (29.1%)

Results
2.9s1783×body2048valid
2.8s2788×body1024valid
519.0ms1229×body512valid
442.0ms2424×body256valid
267.0ms1131×body256invalid
267.0ms182×body1024invalid
106.0ms228×body512invalid
94.0ms32×body4096valid
21.0ms17×body2048invalid

preprocess84.0ms (0.3%)

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)

simplify63.0ms (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))

eval2.0ms (0%)

Compiler

Compiled 31 to 19 computations (38.7% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
47.7b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶47.7b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
▶48.0b
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
Compiler

Compiled 33 to 22 computations (33.3% saved)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
✓1.7b
(-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)
✓7.7b
(pow.f64 (+.f64 1 (/.f64 i n)) n)
✓10.6b
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 58 to 29 computations (50% saved)

series61.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
15.0ms
n
@inf
(-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)
6.0ms
n
@0
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
5.0ms
i
@0
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
5.0ms
i
@inf
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
5.0ms
i
@-inf
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))

rewrite173.0ms (0.7%)

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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simplify164.0ms (0.6%)

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)))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (/.f64 i n))
✓1.7b
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
7.7b
(pow.f64 (+.f64 1 (/.f64 i n)) n)
✓11.3b
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
Compiler

Compiled 49 to 25 computations (49% saved)

series15.0ms (0.1%)

Counts
3 → 54
Calls

18 calls:

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

rewrite203.0ms (0.8%)

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
01241
125941
2328541
Stop Event
1×node limit
Counts
3 → 113
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)
(+.f64 1 (/.f64 i n))
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 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(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))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 i n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 i n))) (/.f64 (pow.f64 (/.f64 n i) -2) (-.f64 1 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 i n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 i n))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 i n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 i n))) 2) (cbrt.f64 (+.f64 1 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (/.f64 i n))) (hypot.f64 1 (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 n i) -3)) (/.f64 1 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 n i) -2)) (/.f64 1 (-.f64 1 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) 1) 1) (+.f64 1 (pow.f64 (/.f64 n i) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 i n)) (-.f64 1 (pow.f64 (/.f64 n i) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 n i) -3)) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 n i) -3)) (+.f64 (pow.f64 (/.f64 n i) -2) (-.f64 1 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 n i) -2)) (-.f64 1 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 n i) -3))) (neg.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 n i) -2))) (neg.f64 (-.f64 1 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 n i) -2) 1) (-.f64 (/.f64 i n) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 i n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 i n)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 i n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 i n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 i n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) 1) 1) (+.f64 1 (pow.f64 (/.f64 n i) -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (/.f64 i n)) (-.f64 1 (pow.f64 (/.f64 n i) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 i (/.f64 1 n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 i n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 i n) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 i i)) (*.f64 (cbrt.f64 i) (/.f64 1 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 i n)) (pow.f64 (cbrt.f64 (/.f64 i n)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 i n)) 2) (cbrt.f64 (/.f64 i n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 i) (*.f64 (sqrt.f64 i) (/.f64 1 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 i n)) (sqrt.f64 (/.f64 i n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 i) (/.f64 1 (neg.f64 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 n) i 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 i i)) 1) (/.f64 (cbrt.f64 i) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 i) 1) (/.f64 (sqrt.f64 i) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 n) -2) (/.f64 i (cbrt.f64 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 i i)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 i n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 i) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 i) (cbrt.f64 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 n -1/2) (/.f64 i (sqrt.f64 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 i i)) (sqrt.f64 n)) (/.f64 (cbrt.f64 i) (sqrt.f64 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (neg.f64 n)) (neg.f64 i) 1)))))

simplify106.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
785×associate-/l*_binary64
585×associate-/r*_binary64
370×fma-def_binary64
332×associate-*l/_binary64
299×associate-*r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03053058
110422864
239682664
Stop Event
1×node limit
Counts
167 → 198
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)
1
(/.f64 i n)
(/.f64 i n)
(/.f64 i n)
1
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 (*.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)))
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(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 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/48 (pow.f64 i 6)))) (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 (*.f64 (exp.f64 i) -50) (/.f64 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 (/.f64 (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4))) (pow.f64 n 3)) (exp.f64 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)))) (+.f64 (fma.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4))) -100) (pow.f64 n 3)) (exp.f64 i))) (fma.f64 100 (exp.f64 i) -100)))
1
(/.f64 i n)
(/.f64 i n)
(/.f64 i n)
1
1

eval717.0ms (2.8%)

Compiler

Compiled 30297 to 15958 computations (47.3% saved)

prune173.0ms (0.7%)

Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New74822770
Fresh000
Picked101
Done011
Total74923772
Error
0b
Counts
772 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
23.1b
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n)))
52.6b
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
27.6b
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
▶17.4b
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
51.7b
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
33.6b
(*.f64 (/.f64 n i) (*.f64 100 i))
25.8b
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
▶27.2b
(*.f64 n 100)
17.7b
(+.f64 0 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)))
58.1b
(*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
30.5b
(*.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)))))))
▶24.9b
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
31.8b
(*.f64 100 (/.f64 i (/.f64 i n)))
62.1b
(*.f64 100 (/.f64 (-.f64 (+.f64 i (+.f64 1 (*.f64 i (*.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)))))) 1) (/.f64 i n)))
▶16.5b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
48.0b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
47.8b
(/.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) i)
47.7b
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n))
46.4b
(*.f64 (/.f64 n i) (-.f64 (*.f64 100 (exp.f64 i)) 100))
✓47.7b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
41.4b
(*.f64 100 (/.f64 (+.f64 i (*.f64 i (*.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 i n)))
46.4b
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
▶27.7b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
Compiler

Compiled 721 to 511 computations (29.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)
✓6.5b
(log1p.f64 (/.f64 i n))
✓10.3b
(*.f64 n (log1p.f64 (/.f64 i n)))
✓10.4b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
Compiler

Compiled 47 to 12 computations (74.5% saved)

series13.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
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
@0
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)
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))

rewrite103.0ms (0.4%)

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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 100) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 100) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 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 1 (*.f64 (/.f64 i n) 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 1 (*.f64 (/.f64 i n) 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 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 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 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 100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 10000 (pow.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 2))) (*.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)))) (cbrt.f64 (pow.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 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 100))) 2)) (cbrt.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) (*.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 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simplify123.0ms (0.5%)

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))))
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(+.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))))))
(*.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 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 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 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 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 (log.f64 n) (*.f64 i i))) (/.f64 -1/2 (pow.f64 i 3))) (*.f64 (/.f64 n (/.f64 i n)) (-.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 (/.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 (*.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 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 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 (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) (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 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n)))) (*.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 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) (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 (*.f64 (/.f64 n 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 (expm1.f64 i) (/.f64 i n)))
(+.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 (expm1.f64 i) (/.f64 i n)) (*.f64 (*.f64 -50 (exp.f64 i)) 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))))
(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 (expm1.f64 i) (/.f64 i n))) (*.f64 (*.f64 -50 (exp.f64 i)) 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)))))
(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 (expm1.f64 i) (/.f64 i n))) (*.f64 (/.f64 (fma.f64 -1/48 (pow.f64 i 6) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/6 (pow.f64 i 5)))) (*.f64 n n)) (/.f64 (exp.f64 i) i)))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) (*.f64 (/.f64 (exp.f64 i) i) (+.f64 (/.f64 (fma.f64 -1/48 (pow.f64 i 6) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/6 (pow.f64 i 5)))) (*.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 (expm1.f64 i) (/.f64 i n)))
(+.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 (expm1.f64 i) (/.f64 i n)) (*.f64 (*.f64 -50 (exp.f64 i)) 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))))
(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 (expm1.f64 i) (/.f64 i n))) (*.f64 (*.f64 -50 (exp.f64 i)) 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)))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 -100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (/.f64 (fma.f64 1/48 (pow.f64 i 6) (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4))) 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)) (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 (expm1.f64 i) (/.f64 i n))) (*.f64 -100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n (*.f64 n i))) (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4)))))))
(*.f64 100 n)
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (+.f64 (*.f64 (*.f64 n i) (-.f64 1/2 (/.f64 1/2 n))) n))
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(fma.f64 100 (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))) (fma.f64 100 i (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))) (*.f64 (pow.f64 i 4) (+.f64 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 (pow.f64 i 3) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n)))) (*.f64 100 (+.f64 i (fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (pow.f64 i 4) (-.f64 (+.f64 1/24 (-.f64 (/.f64 11/24 (*.f64 n n)) (/.f64 1/4 (pow.f64 n 3)))) (/.f64 1/4 n)))))))
(*.f64 100 (+.f64 (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 (fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (pow.f64 i 4) (+.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 1/24 (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3))))))) i)))
(*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1))
(*.f64 100 (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))
(*.f64 100 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(+.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 100 (+.f64 (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))))
(*.f64 100 (+.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (*.f64 (/.f64 n (/.f64 i n)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))))))
(*.f64 100 (+.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (*.f64 n n) (/.f64 (/.f64 i (pow.f64 i n)) (pow.f64 n (neg.f64 n))))))
(+.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))))
(fma.f64 100 (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) (*.f64 100 (+.f64 (/.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (*.f64 i i) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))))) (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))))))
(*.f64 100 (+.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (+.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))) (*.f64 i i)) (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4)))))))
(*.f64 100 (+.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (/.f64 (*.f64 n n) (/.f64 (/.f64 i (pow.f64 i n)) (pow.f64 n (neg.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 (*.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))))))
(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)

localize28.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(*.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))))
✓6.4b
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
Compiler

Compiled 70 to 52 computations (25.7% saved)

series65.0ms (0.3%)

Counts
3 → 48
Calls

18 calls:

TimeVariablePointExpression
54.0ms
n
@inf
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
1.0ms
i
@0
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
1.0ms
n
@0
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
1.0ms
n
@-inf
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
1.0ms
n
@inf
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))

rewrite115.0ms (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
01342
129640
2399340
Stop Event
1×node limit
Counts
3 → 104
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)))))))
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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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 n n) (pow.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 2)) 100) (-.f64 n (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (+.f64 (pow.f64 n 3) (pow.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 3))) (fma.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) (fma.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i) (neg.f64 n)) (*.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (-.f64 (*.f64 n n) (pow.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 2))) (-.f64 n (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 (fma.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (fma.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n) n)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (fma.f64 i 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simplify78.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
671×fma-neg_binary64
504×unsub-neg_binary64
474×fma-def_binary64
330×distribute-rgt-neg-out_binary64
307×associate-/l*_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
035603
192554
2225527
3699507
42183459
55285451
Stop Event
1×node limit
Counts
152 → 129
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)))))))
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 (*.f64 1/2 n) -1/2))
(*.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 (*.f64 1/2 n) -1/2))
(*.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 (*.f64 1/2 n) -1/2))
(*.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 n (*.f64 i 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 (*.f64 1/2 n) -1/2))
(*.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 (*.f64 1/2 n) -1/2))
(*.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 (*.f64 1/2 n) -1/2))
(*.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 n (*.f64 i 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 (*.f64 1/2 n) -1/2))
(*.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 (*.f64 1/2 n) -1/2))
(*.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 (*.f64 1/2 n) -1/2))
(*.f64 i (fma.f64 1/2 n -1/2))
(*.f64 -1/2 (/.f64 i n))
(/.f64 (*.f64 -1/2 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 100 (fma.f64 i 1/2 1))))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 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 100 (fma.f64 i 1/2 1))))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 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 100 (fma.f64 i 1/2 1))))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 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 100 (fma.f64 i 1/2 1)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 n (fma.f64 i 50 100))
(+.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 100 (fma.f64 i 1/2 1))))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 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 100 (fma.f64 i 1/2 1))))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 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 100 (fma.f64 i 1/2 1))))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 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 100 (fma.f64 i 1/2 1)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 n (fma.f64 i 50 100))
(+.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 100 (fma.f64 i 1/2 1))))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 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 100 (fma.f64 i 1/2 1))))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 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 100 (fma.f64 i 1/2 1))))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 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 100 (fma.f64 i 1/2 1))))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 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 100 (fma.f64 i 1/2 1))))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 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 100 (fma.f64 i 1/2 1))))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 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 n (*.f64 100 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))
(*.f64 i (*.f64 n (*.f64 100 (+.f64 1/2 (/.f64 -1/2 n)))))
(*.f64 (+.f64 1 (/.f64 -1 n)) (*.f64 (*.f64 i n) 50))
(*.f64 i (+.f64 -50 (*.f64 n 50)))
(*.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 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (*.f64 100 (fma.f64 i 1/2 1))))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 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 100 (fma.f64 i 1/2 1))))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 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 100 (fma.f64 i 1/2 1))))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 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 n (*.f64 100 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))
(*.f64 i (*.f64 n (*.f64 100 (+.f64 1/2 (/.f64 -1/2 n)))))
(*.f64 (+.f64 1 (/.f64 -1 n)) (*.f64 (*.f64 i n) 50))
(*.f64 i (+.f64 -50 (*.f64 n 50)))
(*.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 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (*.f64 100 (fma.f64 i 1/2 1))))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 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 100 (fma.f64 i 1/2 1))))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 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 100 (fma.f64 i 1/2 1))))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(expm1.f64 i)
✓0.1b
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
✓12.3b
(/.f64 (expm1.f64 i) (/.f64 i n))
Compiler

Compiled 24 to 8 computations (66.7% saved)

series9.0ms (0%)

Counts
3 → 60
Calls

15 calls:

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

rewrite117.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
965×pow1_binary64
901×add-log-exp_binary64
901×log1p-expm1-u_binary64
901×expm1-log1p-u_binary64
85×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
117424
2239124
Stop Event
1×node limit
Counts
3 → 84
Calls
Call 1
Inputs
(/.f64 (expm1.f64 i) (/.f64 i n))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(expm1.f64 i)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 i) (/.f64 i n)) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 i) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (/.f64 (expm1.f64 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (expm1.f64 i) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) 2) (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (*.f64 (cbrt.f64 (expm1.f64 i)) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 i)) (*.f64 (sqrt.f64 (expm1.f64 i)) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 i)) (/.f64 1 (/.f64 (neg.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n i) (expm1.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) i) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 i)) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 i)) 1) (/.f64 (sqrt.f64 (expm1.f64 i)) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 i)) i) (/.f64 (sqrt.f64 (expm1.f64 i)) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (/.f64 (expm1.f64 i) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) i) (/.f64 (cbrt.f64 (expm1.f64 i)) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 (expm1.f64 i) (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 i)) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 (sqrt.f64 (expm1.f64 i)) (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 i n))) (/.f64 (expm1.f64 i) (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (sqrt.f64 (/.f64 i n))) (/.f64 (cbrt.f64 (expm1.f64 i)) (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) 1) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) (neg.f64 i)) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (expm1.f64 i) i) 1) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (expm1.f64 i) i) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (expm1.f64 i) i) (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 i n) (expm1.f64 i)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 i) (/.f64 (neg.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (expm1.f64 i)) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (expm1.f64 i) 3) (pow.f64 (/.f64 i n) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) 100)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 100 (/.f64 (/.f64 i n) (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 i n) (*.f64 (expm1.f64 i) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (expm1.f64 i) 100)) (/.f64 (neg.f64 i) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 i) 100) i) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 i) 100) 1) (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 i) 100) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (cbrt.f64 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 i) 100) (sqrt.f64 (/.f64 i n))) (sqrt.f64 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (expm1.f64 i)) 100) (/.f64 (neg.f64 i) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (neg.f64 (expm1.f64 i))) (/.f64 (neg.f64 i) n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) 100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) 100)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) 100))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) 10) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 2) 10000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (expm1.f64 i)) (/.f64 n i)) 100))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) 100)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) 100))))))))
((#(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 log.f64 (+.f64 1 (expm1.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)))))))

simplify85.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
776×distribute-lft-out_binary64
643×times-frac_binary64
518×distribute-rgt-out_binary64
488×associate-*l*_binary64
463×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
050624
1141616
2376609
31258595
43240589
55909589
Stop Event
1×node limit
Counts
144 → 110
Calls
Call 1
Inputs
n
(+.f64 n (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (*.f64 1/2 (*.f64 n i))))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (+.f64 (*.f64 1/2 (*.f64 n i)) (*.f64 1/24 (*.f64 n (pow.f64 i 3))))))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 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))
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
n
(+.f64 n (*.f64 1/2 (*.f64 n i)))
(fma.f64 1/2 (*.f64 n i) n)
(fma.f64 n (*.f64 1/2 i) n)
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (*.f64 1/2 (*.f64 n i))))
(fma.f64 1/6 (*.f64 n (*.f64 i i)) (+.f64 n (*.f64 1/2 (*.f64 n i))))
(fma.f64 1/6 (*.f64 n (*.f64 i i)) (fma.f64 1/2 (*.f64 n i) n))
(fma.f64 n (*.f64 i (*.f64 i 1/6)) (fma.f64 n (*.f64 1/2 i) n))
(+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6)))))
(+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (*.f64 i 1/6)))))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (+.f64 (*.f64 1/2 (*.f64 n i)) (*.f64 1/24 (*.f64 n (pow.f64 i 3))))))
(fma.f64 1/6 (*.f64 n (*.f64 i i)) (+.f64 n (fma.f64 1/2 (*.f64 n i) (*.f64 1/24 (*.f64 n (pow.f64 i 3))))))
(+.f64 (fma.f64 1/6 (*.f64 n (*.f64 i i)) (fma.f64 1/2 (*.f64 n i) n)) (*.f64 (pow.f64 i 3) (*.f64 n 1/24)))
(fma.f64 n (*.f64 i (*.f64 i 1/6)) (fma.f64 n (*.f64 1/24 (pow.f64 i 3)) (fma.f64 n (*.f64 1/2 i) n)))
(+.f64 n (*.f64 n (+.f64 (*.f64 1/24 (pow.f64 i 3)) (*.f64 i (+.f64 1/2 (*.f64 i 1/6))))))
(+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i (+.f64 1/6 (*.f64 i 1/24)))))))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 100 n)
(*.f64 n 100)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(fma.f64 50 (*.f64 n i) (*.f64 n 100))
(fma.f64 (*.f64 n i) 50 (*.f64 n 100))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(fma.f64 50 (*.f64 n i) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 n 100)))
(fma.f64 (*.f64 n i) 50 (fma.f64 n 100 (*.f64 (*.f64 i i) (*.f64 n 50/3))))
(fma.f64 n (*.f64 i 50) (*.f64 n (+.f64 (*.f64 i (*.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 n i) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 n 100))))
(fma.f64 (*.f64 n i) 50 (fma.f64 (*.f64 n (pow.f64 i 3)) 25/6 (fma.f64 n 100 (*.f64 (*.f64 i i) (*.f64 n 50/3)))))
(fma.f64 n (*.f64 i 50) (fma.f64 n (*.f64 (pow.f64 i 3) 25/6) (*.f64 n (+.f64 (*.f64 i (*.f64 i 50/3)) 100))))
(*.f64 n (+.f64 (*.f64 i (+.f64 50 (*.f64 i 50/3))) (+.f64 100 (*.f64 (pow.f64 i 3) 25/6))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n 100))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n 100))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n 100))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n 100))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n 100))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n 100))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n 100))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n 100))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n 100))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n 100))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n 100))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n 100))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n 100))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n 100))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n 100))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n 100))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n 100))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n 100))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n 100))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n 100))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
i
(+.f64 i (*.f64 1/2 (pow.f64 i 2)))
(+.f64 i (*.f64 1/2 (*.f64 i i)))
(fma.f64 1/2 (*.f64 i i) 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 1/2 (*.f64 i i))))
(fma.f64 1/6 (pow.f64 i 3) (fma.f64 1/2 (*.f64 i i) i))
(fma.f64 1/2 (*.f64 i i) (fma.f64 1/6 (pow.f64 i 3) 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 1/2 (*.f64 i i)))))
(+.f64 (fma.f64 1/6 (pow.f64 i 3) (fma.f64 1/2 (*.f64 i i) i)) (*.f64 1/24 (pow.f64 i 4)))
(fma.f64 1/6 (pow.f64 i 3) (fma.f64 1/2 (*.f64 i i) (fma.f64 1/24 (pow.f64 i 4) i)))
(+.f64 i (*.f64 (*.f64 i i) (+.f64 1/2 (*.f64 i (+.f64 1/6 (*.f64 i 1/24))))))
(+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (*.f64 i (+.f64 1/6 (*.f64 i 1/24)))))))
(-.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)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
6.5b
(log1p.f64 (/.f64 i n))
10.3b
(*.f64 n (log1p.f64 (/.f64 i n)))
✓10.8b
(*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))
Compiler

Compiled 52 to 11 computations (78.8% saved)

series11.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite97.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
601×log-prod_binary64
372×pow-prod-down_binary64
286×pow2_binary64
256×pow-unpow_binary64
204×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01137
122837
2286637
Stop Event
1×node limit
Counts
2 → 55
Calls
Call 1
Inputs
(*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 n i)) (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 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 n (/.f64 i (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 i (*.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))))) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 1) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (sqrt.f64 i)) (sqrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (neg.f64 n)) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 i (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 n i) (*.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 (/.f64 n i)) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 n i)) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 n i)) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 n i)) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 n i) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) i)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 n i) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 2) 10000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 n i) (*.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 (/.f64 n i) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 n i) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 2) 10000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 n i)) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 n i) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 n i) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 n i) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 n i) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 n i) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 n i) (*.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 (/.f64 n i) (*.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 (/.f64 n i) (*.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 (/.f64 n i) (*.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 (/.f64 n i) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))) 1) 1))))))

simplify240.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
858×times-frac_binary64
799×distribute-rgt-in_binary64
780×distribute-lft-in_binary64
309×fma-def_binary64
176×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02673085
18922862
233142697
Stop Event
1×node limit
Counts
103 → 139
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)
(+.f64 (*.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 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(+.f64 (*.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 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i) (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)) (/.f64 (log.f64 i) (pow.f64 i 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))))
(+.f64 (*.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 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i) (+.f64 (*.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 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)) (/.f64 (log.f64 i) (pow.f64 i 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3))))))))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (*.f64 -1/2 (*.f64 i (exp.f64 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))))
(+.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)))))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4))) (exp.f64 i)) (*.f64 n i)) (+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i)))))
(+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (+.f64 (*.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))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i)) (*.f64 -1/2 (*.f64 i (exp.f64 i))))))
n
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 (pow.f64 i 3) (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))))))))
(/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)
(+.f64 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2)) (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i))
(+.f64 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2)) (+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i) (/.f64 (*.f64 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 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2)) (+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i) (+.f64 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)) (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4)))))
(/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)
(+.f64 (/.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 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))
(+.f64 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2)) (+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i) (/.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 -1 (/.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 (/.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 (*.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 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 (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 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)
(/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i))))
(*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n)))
(+.f64 (*.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 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(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)))))
(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 (*.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 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i) (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)) (/.f64 (log.f64 i) (pow.f64 i 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))))
(+.f64 (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 (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)))))
(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)))))
(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 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n)))))
(+.f64 (*.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 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i) (+.f64 (*.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 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)) (/.f64 (log.f64 i) (pow.f64 i 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3))))))))
(+.f64 (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))))) (fma.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 (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 (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)))) (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 (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) (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 (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)))) (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) (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 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 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (/.f64 n i) (expm1.f64 i))
(+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i))))
(+.f64 (/.f64 n (/.f64 i (expm1.f64 i))) (*.f64 (*.f64 -1/2 i) (exp.f64 i)))
(fma.f64 -1/2 (*.f64 i (exp.f64 i)) (*.f64 (/.f64 n i) (expm1.f64 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))))
(+.f64 (/.f64 n (/.f64 i (expm1.f64 i))) (fma.f64 -1/2 (*.f64 i (exp.f64 i)) (*.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i))))
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(*.f64 100 (fma.f64 n (fma.f64 (*.f64 i i) (+.f64 1/6 (+.f64 (/.f64 (/.f64 1/3 n) n) (/.f64 -1/2 n))) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n))
(*.f64 100 (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 (*.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 (+.f64 1/24 (/.f64 11/24 (*.f64 n n))) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n))))) (fma.f64 100 (*.f64 (*.f64 n (*.f64 i i)) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))) (*.f64 100 (+.f64 n (*.f64 (*.f64 n i) (-.f64 1/2 (/.f64 1/2 n)))))))
(fma.f64 (*.f64 n (*.f64 (pow.f64 i 3) (-.f64 (+.f64 1/24 (/.f64 (/.f64 11/24 n) n)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n))))) 100 (*.f64 100 (fma.f64 n (fma.f64 (*.f64 i i) (+.f64 1/6 (+.f64 (/.f64 (/.f64 1/3 n) n) (/.f64 -1/2 n))) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n)))
(*.f64 100 (+.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 (/.f64 11/24 n) n) (/.f64 -1/4 n)) (/.f64 1/4 (pow.f64 n 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 n (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))) i)
(/.f64 (*.f64 n 100) (/.f64 i (expm1.f64 (*.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))))) 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 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 i (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))) (/.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 (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))))) 100)
(*.f64 (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 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 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 i (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))) (/.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 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (+.f64 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))) (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))))))))
(*.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)))) (*.f64 (/.f64 n i) (+.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (*.f64 (/.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) i) (/.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 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 (pow.f64 n 4) 1/3))))))))))
(fma.f64 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))) 100 (*.f64 100 (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (+.f64 (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))))) (*.f64 (/.f64 n (pow.f64 i 4)) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.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 (/.f64 n i) (+.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (*.f64 (/.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) i) (/.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) i)))) (+.f64 (*.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 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)))))))
(*.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 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) 100)
(*.f64 (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)) 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 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 (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) (/.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 (*.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))) 100)
(*.f64 (+.f64 (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)) (/.f64 (pow.f64 n 3) (/.f64 i (/.f64 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) i)))) 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 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 i (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) (/.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 100 (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (+.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 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 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) i) (+.f64 (*.f64 (/.f64 n i) (/.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) i)) (/.f64 (pow.f64 n 3) i)))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (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 (*.f64 (*.f64 n (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))))) (pow.f64 i 4)) (*.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 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (+.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 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 (*.f64 (*.f64 -100 n) (*.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)))))) (pow.f64 i 4)))
(+.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 (/.f64 n i) (/.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) i)) (/.f64 (pow.f64 n 3) i))))) (*.f64 (*.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 -1/6 (pow.f64 n 6)))))) -100))

eval902.0ms (3.5%)

Compiler

Compiled 19012 to 10882 computations (42.8% saved)

prune244.0ms (0.9%)

Pruning

28 alts after pruning (24 fresh and 4 done)

PrunedKeptTotal
New73416750
Fresh9817
Picked011
Done235
Total74528773
Error
0b
Counts
773 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
27.5b
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
47.7b
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
48.0b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
▶62.2b
(*.f64 i -50)
14.5b
(/.f64 (/.f64 (*.f64 (expm1.f64 i) 100) i) (/.f64 1 n))
✓17.4b
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
25.0b
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 i)))
✓27.2b
(*.f64 n 100)
23.6b
(/.f64 (*.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100) i)
▶51.7b
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
33.6b
(*.f64 (/.f64 n i) (*.f64 100 i))
46.4b
(*.f64 (/.f64 n i) (-.f64 (*.f64 100 (exp.f64 i)) 100))
30.5b
(*.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)))))))
27.6b
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
31.9b
(/.f64 (*.f64 100 i) (/.f64 i n))
▶41.4b
(*.f64 100 (/.f64 (+.f64 i (*.f64 i (*.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 i n)))
27.5b
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
58.1b
(*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
27.6b
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
27.5b
(*.f64 n (+.f64 100 (*.f64 i 50)))
31.8b
(*.f64 100 (/.f64 i (/.f64 i n)))
27.5b
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
✓16.5b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
▶18.5b
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 (expm1.f64 i) (/.f64 1 n))))
▶14.3b
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
✓47.7b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
26.2b
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
46.4b
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
Compiler

Compiled 710 to 508 computations (28.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(expm1.f64 i)
✓0.0b
(/.f64 (expm1.f64 i) i)
✓0.0b
(*.f64 (/.f64 (expm1.f64 i) i) n)
✓0.1b
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
Compiler

Compiled 25 to 8 computations (68% saved)

series10.0ms (0%)

Counts
3 → 60
Calls

15 calls:

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

rewrite105.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
860×pow1_binary64
799×add-log-exp_binary64
799×log1p-expm1-u_binary64
799×expm1-log1p-u_binary64
782×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
116827
2213527
Stop Event
1×node limit
Counts
3 → 68
Calls
Call 1
Inputs
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 (expm1.f64 i) i) n)
(/.f64 (expm1.f64 i) i)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (*.f64 (expm1.f64 i) n)) i)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 10 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 i) i) n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 10000 (pow.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) (*.f64 (/.f64 (expm1.f64 i) i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 (expm1.f64 i) i) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 i) (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 n (/.f64 i (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 i (*.f64 (expm1.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 i) n) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (expm1.f64 i) n)) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 i) n) 1) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 i) n) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 i) n) (sqrt.f64 i)) (sqrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (expm1.f64 i)) n) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (neg.f64 (expm1.f64 i))) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 i) i) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 i) i) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 n) (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 i) i) 3) (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 n 3) (pow.f64 (/.f64 (expm1.f64 i) i) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (expm1.f64 i) i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (expm1.f64 i) i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 i) i) n)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (expm1.f64 i) i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 i) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2) (cbrt.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (*.f64 (cbrt.f64 (expm1.f64 i)) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i)) (sqrt.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 i)) (*.f64 (sqrt.f64 (expm1.f64 i)) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 i)) (/.f64 1 (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (expm1.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 i)) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 i)) 1) (/.f64 (sqrt.f64 (expm1.f64 i)) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (/.f64 (expm1.f64 i) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 i)) (pow.f64 (cbrt.f64 i) 2)) (/.f64 (sqrt.f64 (expm1.f64 i)) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 i)) (/.f64 (expm1.f64 i) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (sqrt.f64 i)) (/.f64 (cbrt.f64 (expm1.f64 i)) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 i) i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 i) i) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 i (expm1.f64 i)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 i) (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 i) i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 i) i) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (expm1.f64 i) 3) (pow.f64 i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 i) i)))))))

simplify133.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
666×times-frac_binary64
636×distribute-lft-out_binary64
468×associate-/l/_binary64
462×distribute-rgt-in_binary64
446×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
049639
1140631
2368620
31183606
42935603
55022603
Stop Event
1×node limit
Counts
128 → 95
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))
n
(+.f64 n (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (*.f64 1/2 (*.f64 n i))))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (+.f64 (*.f64 1/2 (*.f64 n i)) (*.f64 1/24 (*.f64 n (pow.f64 i 3))))))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
1
(+.f64 1 (*.f64 1/2 i))
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (+.f64 1 (*.f64 1/2 i)))
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (+.f64 1 (+.f64 (*.f64 1/2 i) (*.f64 1/24 (pow.f64 i 3)))))
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
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 (*.f64 i i) (*.f64 n 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 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 (*.f64 i i) (*.f64 n 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 100 (*.f64 50 i)) (*.f64 (*.f64 i i) (+.f64 50/3 (*.f64 i 25/6)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.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 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.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 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.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 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.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 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.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 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.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 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.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 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.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 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.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 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.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 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.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 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.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 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.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 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.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 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.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 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.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 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.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 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.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 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.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 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.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 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
n
(+.f64 n (*.f64 1/2 (*.f64 n i)))
(+.f64 n (*.f64 (*.f64 n i) 1/2))
(fma.f64 (*.f64 n i) 1/2 n)
(fma.f64 n (*.f64 i 1/2) n)
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (*.f64 1/2 (*.f64 n i))))
(fma.f64 1/6 (*.f64 n (*.f64 i i)) (+.f64 n (*.f64 (*.f64 n i) 1/2)))
(fma.f64 (*.f64 n (*.f64 i i)) 1/6 (fma.f64 (*.f64 n i) 1/2 n))
(+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 i 1/6) 1/2))))
(*.f64 n (fma.f64 i (*.f64 i 1/6) (fma.f64 i 1/2 1)))
(*.f64 n (fma.f64 i 1/2 (fma.f64 i (*.f64 i 1/6) 1)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (+.f64 (*.f64 1/2 (*.f64 n i)) (*.f64 1/24 (*.f64 n (pow.f64 i 3))))))
(fma.f64 1/6 (*.f64 n (*.f64 i i)) (+.f64 n (fma.f64 1/2 (*.f64 n i) (*.f64 (*.f64 n (pow.f64 i 3)) 1/24))))
(+.f64 (fma.f64 (*.f64 n 1/24) (pow.f64 i 3) (*.f64 n (*.f64 i 1/2))) (fma.f64 (*.f64 n (*.f64 i i)) 1/6 n))
(+.f64 (fma.f64 n (*.f64 i 1/2) n) (*.f64 n (*.f64 (*.f64 i i) (+.f64 (*.f64 i 1/24) 1/6))))
(+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i (+.f64 1/6 (*.f64 i 1/24)))))))
(*.f64 n (fma.f64 i (*.f64 i 1/6) (fma.f64 i 1/2 (fma.f64 (pow.f64 i 3) 1/24 1))))
(+.f64 n (*.f64 (*.f64 n i) (+.f64 1/2 (*.f64 i (+.f64 1/6 (*.f64 i 1/24))))))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
1
(+.f64 1 (*.f64 1/2 i))
(+.f64 1 (*.f64 i 1/2))
(fma.f64 i 1/2 1)
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (+.f64 1 (*.f64 1/2 i)))
(fma.f64 1/6 (*.f64 i i) (+.f64 1 (*.f64 i 1/2)))
(fma.f64 (*.f64 i i) 1/6 (fma.f64 i 1/2 1))
(fma.f64 i 1/2 (fma.f64 i (*.f64 i 1/6) 1))
(fma.f64 i (*.f64 i 1/6) (fma.f64 i 1/2 1))
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (+.f64 1 (+.f64 (*.f64 1/2 i) (*.f64 1/24 (pow.f64 i 3)))))
(fma.f64 1/6 (*.f64 i i) (+.f64 1 (fma.f64 1/2 i (*.f64 (pow.f64 i 3) 1/24))))
(+.f64 (fma.f64 (*.f64 i i) 1/6 (fma.f64 i 1/2 1)) (*.f64 (pow.f64 i 3) 1/24))
(fma.f64 i (*.f64 i 1/6) (fma.f64 i 1/2 (fma.f64 (pow.f64 i 3) 1/24 1)))
(fma.f64 i (*.f64 i 1/6) (fma.f64 (pow.f64 i 3) 1/24 (fma.f64 i 1/2 1)))
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)

localize6.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize20.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓10.6b
(/.f64 (-.f64 1 1) (/.f64 i n))
Compiler

Compiled 28 to 18 computations (35.7% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite116.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
535×pow1_binary64
512×add-sqr-sqrt_binary64
496×add-log-exp_binary64
495×log1p-expm1-u_binary64
495×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081
11411
214241
Stop Event
1×node limit
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (-.f64 1 1) (/.f64 i n))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))

simplify9.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
Stop Event
1×saturated
Counts
25 → 1
Calls
Call 1
Inputs
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Outputs
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0

localize104.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(/.f64 1/3 (*.f64 n n))
✓1.5b
(*.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)))
✓4.9b
(*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i)
✓18.2b
(/.f64 (+.f64 i (*.f64 i (*.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 i n))
Compiler

Compiled 205 to 130 computations (36.6% saved)

series26.0ms (0.1%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
8.0ms
i
@-inf
(/.f64 (+.f64 i (*.f64 i (*.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 i n))
3.0ms
n
@0
(/.f64 (+.f64 i (*.f64 i (*.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 i n))
2.0ms
i
@0
(/.f64 (+.f64 i (*.f64 i (*.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 i n))
2.0ms
i
@inf
(/.f64 (+.f64 i (*.f64 i (*.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 i n))
1.0ms
i
@inf
(*.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)))

rewrite277.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
435×log1p-udef_binary64
255×add-sqr-sqrt_binary64
244×*-un-lft-identity_binary64
244×pow1_binary64
239×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020100
148988
2769488
Stop Event
1×node limit
Counts
4 → 117
Calls
Call 1
Inputs
(/.f64 (+.f64 i (*.f64 i (*.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 i n))
(*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i)
(*.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 1/3 (*.f64 n n))
Outputs
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simplify117.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
492×associate-/l*_binary64
372×associate-+l+_binary64
367×distribute-rgt-in_binary64
345×distribute-lft-in_binary64
309×associate-+r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0731879
12051823
25421660
322401631
478021631
Stop Event
1×node limit
Counts
201 → 170
Calls
Call 1
Inputs
n
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 n (*.f64 (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 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(+.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) (*.f64 1/3 (/.f64 (pow.f64 i 2) n)))
(+.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) n)) (*.f64 n (+.f64 1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i)))))
(+.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) n)) (*.f64 n (+.f64 1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i)))))
(/.f64 (*.f64 n (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) i)) i)
(+.f64 (/.f64 (*.f64 n (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) i)) i) (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)))
(+.f64 (/.f64 (*.f64 n (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) i)) i) (+.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) (*.f64 1/3 (/.f64 (pow.f64 i 2) n))))
(+.f64 (/.f64 (*.f64 n (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) i)) i) (+.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) (*.f64 1/3 (/.f64 (pow.f64 i 2) n))))
(/.f64 (*.f64 n (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) i)) i)
(+.f64 (/.f64 (*.f64 n (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) i)) i) (*.f64 -1 (*.f64 i (+.f64 1/2 (*.f64 1/2 i)))))
(+.f64 (/.f64 (*.f64 n (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) i)) i) (+.f64 (*.f64 -1 (*.f64 i (+.f64 1/2 (*.f64 1/2 i)))) (*.f64 1/3 (/.f64 (pow.f64 i 2) n))))
(+.f64 (/.f64 (*.f64 n (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) i)) i) (+.f64 (*.f64 -1 (*.f64 i (+.f64 1/2 (*.f64 1/2 i)))) (*.f64 1/3 (/.f64 (pow.f64 i 2) n))))
(*.f64 1/3 (/.f64 i (pow.f64 n 2)))
(+.f64 (*.f64 1/3 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/3 (/.f64 i (pow.f64 n 2))) (+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 1/6 i)))
(+.f64 (*.f64 1/3 (/.f64 i (pow.f64 n 2))) (+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 1/6 i)))
(*.f64 1/6 i)
(+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 1/6 i))
(+.f64 (*.f64 1/3 (/.f64 i (pow.f64 n 2))) (+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 1/6 i)))
(+.f64 (*.f64 1/3 (/.f64 i (pow.f64 n 2))) (+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 1/6 i)))
(*.f64 1/6 i)
(+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 1/6 i))
(+.f64 (*.f64 1/3 (/.f64 i (pow.f64 n 2))) (+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 1/6 i)))
(+.f64 (*.f64 1/3 (/.f64 i (pow.f64 n 2))) (+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 1/6 i)))
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(+.f64 (/.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) n) (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))))
(+.f64 (/.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) n) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i)))
(+.f64 (/.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) n) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i)))
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) i)
(+.f64 (/.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) n) (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))
(+.f64 (/.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) n) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i)))
(+.f64 (/.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) n) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i)))
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) i)
(+.f64 (*.f64 -1 (/.f64 (*.f64 i (+.f64 1/2 (*.f64 1/2 i))) n)) (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))
(+.f64 (*.f64 -1 (/.f64 (*.f64 i (+.f64 1/2 (*.f64 1/2 i))) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 i (+.f64 1/2 (*.f64 1/2 i))) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i)))
(/.f64 1/3 (pow.f64 n 2))
(/.f64 1/3 (pow.f64 n 2))
(/.f64 1/3 (pow.f64 n 2))
(/.f64 1/3 (pow.f64 n 2))
(/.f64 1/3 (pow.f64 n 2))
(/.f64 1/3 (pow.f64 n 2))
(/.f64 1/3 (pow.f64 n 2))
(/.f64 1/3 (pow.f64 n 2))
(/.f64 1/3 (pow.f64 n 2))
(/.f64 1/3 (pow.f64 n 2))
(/.f64 1/3 (pow.f64 n 2))
(/.f64 1/3 (pow.f64 n 2))
Outputs
n
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))))
(fma.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n)
(*.f64 n (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1))
(+.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 (fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))))))
(fma.f64 n (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))) n)
(fma.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2))))) n)
(fma.f64 n (fma.f64 i (fma.f64 i 1/6 1/2) (*.f64 (/.f64 i n) (-.f64 (*.f64 1/3 (/.f64 i n)) (fma.f64 i 1/2 1/2)))) n)
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 n (*.f64 n (fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))))))
(fma.f64 n (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))) n)
(fma.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2))))) n)
(fma.f64 n (fma.f64 i (fma.f64 i 1/6 1/2) (*.f64 (/.f64 i n) (-.f64 (*.f64 1/3 (/.f64 i n)) (fma.f64 i 1/2 1/2)))) n)
(*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(*.f64 n (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))))
(*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) (*.f64 n (*.f64 i i)))
(*.f64 i (*.f64 (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2))) n))
(*.f64 n (*.f64 i (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/3 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 (fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n)))))
(*.f64 n (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))))
(*.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2))))))
(*.f64 n (fma.f64 i (fma.f64 i 1/6 1/2) (*.f64 (/.f64 i n) (-.f64 (*.f64 1/3 (/.f64 i n)) (fma.f64 i 1/2 1/2)))))
(+.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 (fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))))))
(fma.f64 n (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))) n)
(fma.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2))))) n)
(fma.f64 n (fma.f64 i (fma.f64 i 1/6 1/2) (*.f64 (/.f64 i n) (-.f64 (*.f64 1/3 (/.f64 i n)) (fma.f64 i 1/2 1/2)))) n)
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 n (*.f64 n (fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))))))
(fma.f64 n (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))) n)
(fma.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2))))) n)
(fma.f64 n (fma.f64 i (fma.f64 i 1/6 1/2) (*.f64 (/.f64 i n) (-.f64 (*.f64 1/3 (/.f64 i n)) (fma.f64 i 1/2 1/2)))) n)
(*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(*.f64 n (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))))
(*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) (*.f64 n (*.f64 i i)))
(*.f64 i (*.f64 (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2))) n))
(*.f64 n (*.f64 i (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/3 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 (fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n)))))
(*.f64 n (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))))
(*.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2))))))
(*.f64 n (fma.f64 i (fma.f64 i 1/6 1/2) (*.f64 (/.f64 i n) (-.f64 (*.f64 1/3 (/.f64 i n)) (fma.f64 i 1/2 1/2)))))
(+.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 (fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))))))
(fma.f64 n (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))) n)
(fma.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2))))) n)
(fma.f64 n (fma.f64 i (fma.f64 i 1/6 1/2) (*.f64 (/.f64 i n) (-.f64 (*.f64 1/3 (/.f64 i n)) (fma.f64 i 1/2 1/2)))) n)
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 n (*.f64 n (fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))))))
(fma.f64 n (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))) n)
(fma.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2))))) n)
(fma.f64 n (fma.f64 i (fma.f64 i 1/6 1/2) (*.f64 (/.f64 i n) (-.f64 (*.f64 1/3 (/.f64 i n)) (fma.f64 i 1/2 1/2)))) n)
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(*.f64 1/3 (/.f64 (*.f64 i i) n))
(*.f64 1/3 (/.f64 i (/.f64 n i)))
(/.f64 (*.f64 i i) (/.f64 n 1/3))
(*.f64 i (*.f64 1/3 (/.f64 i n)))
(+.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) (*.f64 1/3 (/.f64 (pow.f64 i 2) n)))
(fma.f64 i (fma.f64 -1/2 i -1/2) (*.f64 1/3 (/.f64 (*.f64 i i) n)))
(fma.f64 i (fma.f64 i -1/2 -1/2) (*.f64 1/3 (/.f64 i (/.f64 n i))))
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(fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2)))
(fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/3 n))))
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))
(fma.f64 1/3 (/.f64 i (*.f64 n n)) (fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/6)))
(fma.f64 1/3 (/.f64 i (*.f64 n n)) (fma.f64 i 1/6 (/.f64 -1/2 (/.f64 n i))))
(fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2)))
(fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/3 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 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))))
(fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))))
(*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2)))))
(fma.f64 i (fma.f64 i 1/6 1/2) (*.f64 (/.f64 i n) (-.f64 (*.f64 1/3 (/.f64 i n)) (fma.f64 i 1/2 1/2))))
(+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))))
(fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))))
(*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2)))))
(fma.f64 i (fma.f64 i 1/6 1/2) (*.f64 (/.f64 i n) (-.f64 (*.f64 1/3 (/.f64 i n)) (fma.f64 i 1/2 1/2))))
(+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))))
(fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))))
(*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2)))))
(fma.f64 i (fma.f64 i 1/6 1/2) (*.f64 (/.f64 i n) (-.f64 (*.f64 1/3 (/.f64 i n)) (fma.f64 i 1/2 1/2))))
(*.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 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n)))
(*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))
(*.f64 i (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2))))
(*.f64 i (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/3 n)))))
(+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))))
(fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))))
(*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2)))))
(fma.f64 i (fma.f64 i 1/6 1/2) (*.f64 (/.f64 i n) (-.f64 (*.f64 1/3 (/.f64 i n)) (fma.f64 i 1/2 1/2))))
(+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))))
(fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))))
(*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2)))))
(fma.f64 i (fma.f64 i 1/6 1/2) (*.f64 (/.f64 i n) (-.f64 (*.f64 1/3 (/.f64 i n)) (fma.f64 i 1/2 1/2))))
(+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))))
(fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))))
(*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2)))))
(fma.f64 i (fma.f64 i 1/6 1/2) (*.f64 (/.f64 i n) (-.f64 (*.f64 1/3 (/.f64 i n)) (fma.f64 i 1/2 1/2))))
(*.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 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n)))
(*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))
(*.f64 i (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2))))
(*.f64 i (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/3 n)))))
(+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))))
(fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))))
(*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2)))))
(fma.f64 i (fma.f64 i 1/6 1/2) (*.f64 (/.f64 i n) (-.f64 (*.f64 1/3 (/.f64 i n)) (fma.f64 i 1/2 1/2))))
(+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))))
(fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))))
(*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2)))))
(fma.f64 i (fma.f64 i 1/6 1/2) (*.f64 (/.f64 i n) (-.f64 (*.f64 1/3 (/.f64 i n)) (fma.f64 i 1/2 1/2))))
(+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))
(fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))))
(fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))))
(*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2)))))
(fma.f64 i (fma.f64 i 1/6 1/2) (*.f64 (/.f64 i n) (-.f64 (*.f64 1/3 (/.f64 i n)) (fma.f64 i 1/2 1/2))))
(*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))
(*.f64 1/3 (/.f64 (*.f64 i i) (*.f64 n n)))
(*.f64 (/.f64 1/3 n) (/.f64 i (/.f64 n i)))
(*.f64 (/.f64 i n) (*.f64 1/3 (/.f64 i n)))
(*.f64 (*.f64 i i) (/.f64 1/3 (*.f64 n n)))
(+.f64 (/.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) n) (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 i i) (*.f64 n n))) (/.f64 i (/.f64 n (fma.f64 -1/2 i -1/2))))
(fma.f64 1/3 (*.f64 (/.f64 i n) (/.f64 i n)) (*.f64 (/.f64 i n) (fma.f64 i -1/2 -1/2)))
(fma.f64 (/.f64 i n) (fma.f64 i -1/2 -1/2) (*.f64 (/.f64 i n) (*.f64 1/3 (/.f64 i n))))
(*.f64 (/.f64 i n) (-.f64 (*.f64 1/3 (/.f64 i n)) (fma.f64 i 1/2 1/2)))
(+.f64 (/.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) n) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i)))
(fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))))
(fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))))
(*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2)))))
(fma.f64 i (fma.f64 i 1/6 1/2) (*.f64 (/.f64 i n) (-.f64 (*.f64 1/3 (/.f64 i n)) (fma.f64 i 1/2 1/2))))
(+.f64 (/.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) n) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i)))
(fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))))
(fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))))
(*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2)))))
(fma.f64 i (fma.f64 i 1/6 1/2) (*.f64 (/.f64 i n) (-.f64 (*.f64 1/3 (/.f64 i n)) (fma.f64 i 1/2 1/2))))
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) i)
(*.f64 i (+.f64 1/2 (*.f64 i 1/6)))
(*.f64 i (fma.f64 i 1/6 1/2))
(+.f64 (/.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) n) (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))
(+.f64 (*.f64 i (+.f64 1/2 (*.f64 i 1/6))) (/.f64 i (/.f64 n (fma.f64 -1/2 i -1/2))))
(fma.f64 i (fma.f64 i 1/6 1/2) (*.f64 (/.f64 i n) (fma.f64 i -1/2 -1/2)))
(fma.f64 i (fma.f64 i 1/6 1/2) (*.f64 (fma.f64 i -1/2 -1/2) (/.f64 i n)))
(*.f64 i (-.f64 (fma.f64 i 1/6 1/2) (/.f64 (fma.f64 i 1/2 1/2) n)))
(+.f64 (/.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) n) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i)))
(fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))))
(fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))))
(*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2)))))
(fma.f64 i (fma.f64 i 1/6 1/2) (*.f64 (/.f64 i n) (-.f64 (*.f64 1/3 (/.f64 i n)) (fma.f64 i 1/2 1/2))))
(+.f64 (/.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) n) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i)))
(fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))))
(fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))))
(*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2)))))
(fma.f64 i (fma.f64 i 1/6 1/2) (*.f64 (/.f64 i n) (-.f64 (*.f64 1/3 (/.f64 i n)) (fma.f64 i 1/2 1/2))))
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) i)
(*.f64 i (+.f64 1/2 (*.f64 i 1/6)))
(*.f64 i (fma.f64 i 1/6 1/2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 i (+.f64 1/2 (*.f64 1/2 i))) n)) (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))
(+.f64 (*.f64 i (+.f64 1/2 (*.f64 i 1/6))) (/.f64 i (/.f64 n (fma.f64 -1/2 i -1/2))))
(fma.f64 i (fma.f64 i 1/6 1/2) (*.f64 (/.f64 i n) (fma.f64 i -1/2 -1/2)))
(fma.f64 i (fma.f64 i 1/6 1/2) (*.f64 (fma.f64 i -1/2 -1/2) (/.f64 i n)))
(*.f64 i (-.f64 (fma.f64 i 1/6 1/2) (/.f64 (fma.f64 i 1/2 1/2) n)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 i (+.f64 1/2 (*.f64 1/2 i))) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i)))
(fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))))
(fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))))
(*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2)))))
(fma.f64 i (fma.f64 i 1/6 1/2) (*.f64 (/.f64 i n) (-.f64 (*.f64 1/3 (/.f64 i n)) (fma.f64 i 1/2 1/2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 i (+.f64 1/2 (*.f64 1/2 i))) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i)))
(fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))))
(fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))))
(*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2)))))
(fma.f64 i (fma.f64 i 1/6 1/2) (*.f64 (/.f64 i n) (-.f64 (*.f64 1/3 (/.f64 i n)) (fma.f64 i 1/2 1/2))))
(/.f64 1/3 (pow.f64 n 2))
(/.f64 1/3 (*.f64 n n))
(/.f64 1/3 (pow.f64 n 2))
(/.f64 1/3 (*.f64 n n))
(/.f64 1/3 (pow.f64 n 2))
(/.f64 1/3 (*.f64 n n))
(/.f64 1/3 (pow.f64 n 2))
(/.f64 1/3 (*.f64 n n))
(/.f64 1/3 (pow.f64 n 2))
(/.f64 1/3 (*.f64 n n))
(/.f64 1/3 (pow.f64 n 2))
(/.f64 1/3 (*.f64 n n))
(/.f64 1/3 (pow.f64 n 2))
(/.f64 1/3 (*.f64 n n))
(/.f64 1/3 (pow.f64 n 2))
(/.f64 1/3 (*.f64 n n))
(/.f64 1/3 (pow.f64 n 2))
(/.f64 1/3 (*.f64 n n))
(/.f64 1/3 (pow.f64 n 2))
(/.f64 1/3 (*.f64 n n))
(/.f64 1/3 (pow.f64 n 2))
(/.f64 1/3 (*.f64 n n))
(/.f64 1/3 (pow.f64 n 2))
(/.f64 1/3 (*.f64 n n))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(expm1.f64 i)
✓0.1b
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 (expm1.f64 i) (/.f64 1 n))))
✓0.2b
(/.f64 (expm1.f64 i) (/.f64 1 n))
✓7.5b
(*.f64 (/.f64 1 i) (/.f64 (expm1.f64 i) (/.f64 1 n)))
Compiler

Compiled 42 to 26 computations (38.1% saved)

series31.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
23.0ms
n
@inf
(/.f64 (expm1.f64 i) (/.f64 1 n))
1.0ms
n
@-inf
(/.f64 (expm1.f64 i) (/.f64 1 n))
0.0ms
i
@0
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 (expm1.f64 i) (/.f64 1 n))))
0.0ms
n
@0
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 (expm1.f64 i) (/.f64 1 n))))
0.0ms
i
@-inf
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 (expm1.f64 i) (/.f64 1 n))))

rewrite303.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
586×log-prod_binary64
381×pow-prod-down_binary64
283×pow2_binary64
259×pow-unpow_binary64
200×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01136
123627
2312327
Stop Event
1×node limit
Counts
3 → 145
Calls
Call 1
Inputs
(*.f64 (/.f64 1 i) (/.f64 (expm1.f64 i) (/.f64 1 n)))
(/.f64 (expm1.f64 i) (/.f64 1 n))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 (expm1.f64 i) (/.f64 1 n))))
Outputs
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(expm1.f64 i) (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) 1) 1))))))
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(expm1.f64 i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 i) (/.f64 -1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (expm1.f64 i) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (expm1.f64 i)) n))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (expm1.f64 i) n) 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 (expm1.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (expm1.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (expm1.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 i) n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (expm1.f64 i) n) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (expm1.f64 i) n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (expm1.f64 i) n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (expm1.f64 i) n))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 i) n)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 100 i) (/.f64 1 (*.f64 (expm1.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (expm1.f64 i) i) 100) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (expm1.f64 i)) (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (*.f64 (expm1.f64 i) n)) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 100 i) 1) (/.f64 1 (*.f64 (expm1.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 100 i) (expm1.f64 i)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 100 i) (neg.f64 (expm1.f64 i))) (/.f64 -1 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 2) 10000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) 10) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 2) 10000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) 10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)) 1) 1))))))

simplify261.0ms (1%)

Algorithm
1×egg-herbie
Rules
719×distribute-rgt-out_binary64
647×associate-*l*_binary64
643×times-frac_binary64
500×distribute-lft-in_binary64
459×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049744
1141740
2389726
31349707
43808707
55767707
Stop Event
1×node limit
Counts
217 → 172
Calls
Call 1
Inputs
n
(+.f64 n (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (*.f64 1/2 (*.f64 n i))))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (+.f64 (*.f64 1/2 (*.f64 n i)) (*.f64 1/24 (*.f64 n (pow.f64 i 3))))))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 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))
(*.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 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))
Outputs
n
(+.f64 n (*.f64 1/2 (*.f64 n i)))
(fma.f64 1/2 (*.f64 n i) n)
(fma.f64 n (*.f64 1/2 i) n)
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (*.f64 1/2 (*.f64 n i))))
(fma.f64 1/6 (*.f64 n (*.f64 i i)) (+.f64 n (*.f64 1/2 (*.f64 n i))))
(fma.f64 1/6 (*.f64 n (*.f64 i i)) (fma.f64 1/2 (*.f64 n i) n))
(fma.f64 n (*.f64 i (*.f64 i 1/6)) (fma.f64 n (*.f64 1/2 i) n))
(+.f64 n (*.f64 (*.f64 n i) (+.f64 (*.f64 i 1/6) 1/2)))
(+.f64 n (*.f64 (*.f64 n i) (+.f64 1/2 (*.f64 i 1/6))))
(+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6)))))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (+.f64 (*.f64 1/2 (*.f64 n i)) (*.f64 1/24 (*.f64 n (pow.f64 i 3))))))
(fma.f64 1/6 (*.f64 n (*.f64 i i)) (+.f64 n (fma.f64 1/2 (*.f64 n i) (*.f64 1/24 (*.f64 n (pow.f64 i 3))))))
(+.f64 (fma.f64 1/6 (*.f64 n (*.f64 i i)) (fma.f64 1/2 (*.f64 n i) n)) (*.f64 (pow.f64 i 3) (*.f64 n 1/24)))
(fma.f64 n (*.f64 i (*.f64 i 1/6)) (fma.f64 n (*.f64 1/24 (pow.f64 i 3)) (fma.f64 n (*.f64 1/2 i) n)))
(+.f64 n (*.f64 n (+.f64 (*.f64 1/2 i) (*.f64 (*.f64 i i) (+.f64 (*.f64 i 1/24) 1/6)))))
(+.f64 n (*.f64 i (+.f64 (*.f64 n 1/2) (*.f64 (*.f64 n i) (+.f64 1/6 (*.f64 i 1/24))))))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n i)
(+.f64 (*.f64 n i) (*.f64 1/2 (*.f64 n (pow.f64 i 2))))
(fma.f64 n i (*.f64 1/2 (*.f64 n (*.f64 i i))))
(fma.f64 (*.f64 n 1/2) (*.f64 i i) (*.f64 n i))
(*.f64 i (fma.f64 n (*.f64 1/2 i) n))
(+.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 1/2 (*.f64 n (*.f64 i i)))))
(fma.f64 (*.f64 n 1/6) (pow.f64 i 3) (fma.f64 (*.f64 n 1/2) (*.f64 i i) (*.f64 n i)))
(fma.f64 n (*.f64 1/6 (pow.f64 i 3)) (*.f64 i (fma.f64 n (*.f64 1/2 i) n)))
(*.f64 i (+.f64 n (*.f64 (*.f64 n i) (+.f64 (*.f64 i 1/6) 1/2))))
(*.f64 i (+.f64 n (*.f64 (*.f64 n i) (+.f64 1/2 (*.f64 i 1/6)))))
(*.f64 i (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6))))))
(+.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 1/2 (*.f64 n (*.f64 i i))))))
(fma.f64 1/24 (*.f64 n (pow.f64 i 4)) (fma.f64 (*.f64 n 1/6) (pow.f64 i 3) (fma.f64 (*.f64 n 1/2) (*.f64 i i) (*.f64 n i))))
(fma.f64 n (*.f64 1/6 (pow.f64 i 3)) (fma.f64 n (*.f64 1/24 (pow.f64 i 4)) (*.f64 i (fma.f64 n (*.f64 1/2 i) n))))
(*.f64 n (+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) i) (*.f64 (pow.f64 i 3) (+.f64 1/6 (*.f64 i 1/24)))))
(*.f64 n (+.f64 i (+.f64 (*.f64 1/2 (*.f64 i i)) (*.f64 (pow.f64 i 3) (+.f64 1/6 (*.f64 i 1/24))))))
(*.f64 n (+.f64 i (+.f64 (*.f64 i (*.f64 1/2 i)) (*.f64 (pow.f64 i 3) (+.f64 1/6 (*.f64 i 1/24))))))
(*.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 (-.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 100 n)
(*.f64 n 100)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(fma.f64 50 (*.f64 n i) (*.f64 n 100))
(fma.f64 n 100 (*.f64 i (*.f64 n 50)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(fma.f64 50 (*.f64 n i) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 n 100)))
(fma.f64 (*.f64 n i) 50 (fma.f64 (*.f64 n 50/3) (*.f64 i i) (*.f64 n 100)))
(fma.f64 n (*.f64 i 50) (*.f64 n (+.f64 (*.f64 i (*.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 n i) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 n 100))))
(fma.f64 (*.f64 n i) 50 (fma.f64 (*.f64 n 25/6) (pow.f64 i 3) (fma.f64 (*.f64 n 50/3) (*.f64 i i) (*.f64 n 100))))
(fma.f64 n (*.f64 (pow.f64 i 3) 25/6) (fma.f64 n (*.f64 i 50) (*.f64 n (+.f64 (*.f64 i (*.f64 i 50/3)) 100))))
(*.f64 n (+.f64 (+.f64 100 (*.f64 i 50)) (*.f64 (*.f64 i i) (+.f64 50/3 (*.f64 i 25/6)))))
(*.f64 n (+.f64 100 (+.f64 (*.f64 (pow.f64 i 3) 25/6) (*.f64 i (+.f64 50 (*.f64 i 50/3))))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (/.f64 (*.f64 n 100) i) (expm1.f64 i))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i 100) n))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (/.f64 (*.f64 n 100) i) (expm1.f64 i))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i 100) n))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (/.f64 (*.f64 n 100) i) (expm1.f64 i))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i 100) n))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (/.f64 (*.f64 n 100) i) (expm1.f64 i))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i 100) n))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (/.f64 (*.f64 n 100) i) (expm1.f64 i))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i 100) n))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (/.f64 (*.f64 n 100) i) (expm1.f64 i))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i 100) n))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (/.f64 (*.f64 n 100) i) (expm1.f64 i))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i 100) n))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (/.f64 (*.f64 n 100) i) (expm1.f64 i))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i 100) n))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (/.f64 (*.f64 n 100) i) (expm1.f64 i))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i 100) n))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (/.f64 (*.f64 n 100) i) (expm1.f64 i))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i 100) n))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (/.f64 (*.f64 n 100) i) (expm1.f64 i))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i 100) n))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (/.f64 (*.f64 n 100) i) (expm1.f64 i))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i 100) n))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (/.f64 (*.f64 n 100) i) (expm1.f64 i))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i 100) n))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (/.f64 (*.f64 n 100) i) (expm1.f64 i))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i 100) n))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (/.f64 (*.f64 n 100) i) (expm1.f64 i))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i 100) n))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (/.f64 (*.f64 n 100) i) (expm1.f64 i))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i 100) n))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (/.f64 (*.f64 n 100) i) (expm1.f64 i))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i 100) n))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (/.f64 (*.f64 n 100) i) (expm1.f64 i))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i 100) n))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (/.f64 (*.f64 n 100) i) (expm1.f64 i))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i 100) n))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (/.f64 (*.f64 n 100) i) (expm1.f64 i))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i 100) n))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))

eval397.0ms (1.5%)

Compiler

Compiled 9941 to 6220 computations (37.4% saved)

prune184.0ms (0.7%)

Pruning

30 alts after pruning (24 fresh and 6 done)

PrunedKeptTotal
New48012492
Fresh71219
Picked101
Done268
Total49030520
Error
0b
Counts
520 → 30
Alt Table
Click to see full alt table
StatusErrorProgram
▶14.5b
(/.f64 (/.f64 (*.f64 (expm1.f64 i) 100) i) (/.f64 1 n))
▶51.5b
(*.f64 100 0)
27.5b
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
47.7b
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
48.0b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
✓62.2b
(*.f64 i -50)
✓17.4b
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
▶27.6b
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
✓27.2b
(*.f64 n 100)
23.6b
(/.f64 (*.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100) i)
33.6b
(*.f64 (/.f64 n i) (*.f64 100 i))
38.6b
(*.f64 100 (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/3 n))))))) (/.f64 i n)))
▶62.1b
(*.f64 100 (*.f64 i (*.f64 1/3 (/.f64 i n))))
31.5b
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n))))
41.6b
(*.f64 100 (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (/.f64 1/3 (*.f64 n n))))))) (/.f64 i n)))
25.9b
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
31.8b
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (*.f64 i (+.f64 1/6 (*.f64 i 1/24))))))) (/.f64 1 n))))
31.5b
(*.f64 100 (*.f64 (/.f64 1 i) (*.f64 n i)))
31.9b
(/.f64 (*.f64 100 i) (/.f64 i n))
27.5b
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
58.1b
(*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
27.6b
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
▶14.1b
(*.f64 100 (/.f64 1 (/.f64 (/.f64 1 n) (/.f64 (expm1.f64 i) i))))
27.5b
(*.f64 n (+.f64 100 (*.f64 i 50)))
31.8b
(*.f64 100 (/.f64 i (/.f64 i n)))
27.5b
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
✓16.5b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
✓14.3b
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
✓47.7b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
18.7b
(/.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i)
Compiler

Compiled 747 to 531 computations (28.9% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (expm1.f64 i) i)
✓0.1b
(/.f64 (/.f64 1 n) (/.f64 (expm1.f64 i) i))
✓0.1b
(*.f64 100 (/.f64 1 (/.f64 (/.f64 1 n) (/.f64 (expm1.f64 i) i))))
✓0.4b
(/.f64 1 (/.f64 (/.f64 1 n) (/.f64 (expm1.f64 i) i)))
Compiler

Compiled 45 to 23 computations (48.9% saved)

series13.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite268.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
609×log-prod_binary64
346×pow-prod-down_binary64
287×pow2_binary64
256×pow-unpow_binary64
201×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01142
124130
2325830
Stop Event
1×node limit
Counts
3 → 148
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (/.f64 1 n) (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 1 (/.f64 (/.f64 1 n) (/.f64 (expm1.f64 i) i))))
(/.f64 (/.f64 1 n) (/.f64 (expm1.f64 i) i))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n (/.f64 (expm1.f64 i) i)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 i (expm1.f64 i)) n) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 i (expm1.f64 i)) n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 i (expm1.f64 i)) n) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 i (expm1.f64 i)) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 n (/.f64 (expm1.f64 i) i))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 i (expm1.f64 i)) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 n (/.f64 (expm1.f64 i) i))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 n -3) (pow.f64 (/.f64 (expm1.f64 i) i) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 n (/.f64 (expm1.f64 i) i)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 n) (/.f64 (neg.f64 (expm1.f64 i)) i)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 i (expm1.f64 i)) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 i (expm1.f64 i)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 i (expm1.f64 i)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 i (expm1.f64 i)) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 n -3) (pow.f64 (/.f64 (expm1.f64 i) i) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 i (expm1.f64 i)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 i (expm1.f64 i)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 i (expm1.f64 i)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 i (expm1.f64 i)) n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 n (/.f64 (expm1.f64 i) i))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 i (expm1.f64 i)) n) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 i (expm1.f64 i)) n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 i (expm1.f64 i)) n))) 2))))))

simplify120.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
984×fma-def_binary64
645×times-frac_binary64
617×distribute-lft-out_binary64
464×associate-*l*_binary64
431×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
059801
1157795
2390788
31194765
44143758
57447758
Stop Event
1×node limit
Counts
220 → 175
Calls
Call 1
Inputs
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
n
(+.f64 n (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (*.f64 1/2 (*.f64 n i))))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (+.f64 (*.f64 1/2 (*.f64 n i)) (*.f64 1/24 (*.f64 n (pow.f64 i 3))))))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 n)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n))))
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 -1/720 (/.f64 (pow.f64 i 4) n)))))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
Outputs
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/.f64 (expm1.f64 i) (/.f64 i n))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/.f64 (expm1.f64 i) (/.f64 i n))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/.f64 (expm1.f64 i) (/.f64 i n))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/.f64 (expm1.f64 i) (/.f64 i n))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/.f64 (expm1.f64 i) (/.f64 i n))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/.f64 (expm1.f64 i) (/.f64 i n))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/.f64 (expm1.f64 i) (/.f64 i n))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/.f64 (expm1.f64 i) (/.f64 i n))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/.f64 (expm1.f64 i) (/.f64 i n))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/.f64 (expm1.f64 i) (/.f64 i n))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/.f64 (expm1.f64 i) (/.f64 i n))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/.f64 (expm1.f64 i) (/.f64 i n))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
n
(+.f64 n (*.f64 1/2 (*.f64 n i)))
(fma.f64 1/2 (*.f64 n i) n)
(fma.f64 n (*.f64 i 1/2) n)
(*.f64 n (fma.f64 i 1/2 1))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (*.f64 1/2 (*.f64 n i))))
(fma.f64 1/6 (*.f64 n (*.f64 i i)) (+.f64 n (*.f64 1/2 (*.f64 n i))))
(fma.f64 1/6 (*.f64 n (*.f64 i i)) (fma.f64 1/2 (*.f64 n i) n))
(fma.f64 n (*.f64 (*.f64 1/6 i) i) (fma.f64 n (*.f64 i 1/2) n))
(fma.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6))) n)
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (+.f64 (*.f64 1/2 (*.f64 n i)) (*.f64 1/24 (*.f64 n (pow.f64 i 3))))))
(fma.f64 1/6 (*.f64 n (*.f64 i i)) (+.f64 n (fma.f64 1/2 (*.f64 n i) (*.f64 1/24 (*.f64 n (pow.f64 i 3))))))
(+.f64 (fma.f64 1/6 (*.f64 n (*.f64 i i)) (fma.f64 1/2 (*.f64 n i) n)) (*.f64 n (*.f64 (pow.f64 i 3) 1/24)))
(fma.f64 n (*.f64 (*.f64 1/6 i) i) (fma.f64 n (*.f64 i 1/2) (fma.f64 (pow.f64 i 3) (*.f64 n 1/24) n)))
(fma.f64 n (*.f64 (*.f64 i i) (+.f64 (*.f64 i 1/24) 1/6)) (*.f64 n (fma.f64 i 1/2 1)))
(+.f64 n (*.f64 (*.f64 n i) (+.f64 1/2 (*.f64 i (+.f64 1/6 (*.f64 i 1/24))))))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/.f64 (expm1.f64 i) (/.f64 i n))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/.f64 (expm1.f64 i) (/.f64 i n))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/.f64 (expm1.f64 i) (/.f64 i n))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/.f64 (expm1.f64 i) (/.f64 i n))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/.f64 (expm1.f64 i) (/.f64 i n))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/.f64 (expm1.f64 i) (/.f64 i n))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/.f64 (expm1.f64 i) (/.f64 i n))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/.f64 (expm1.f64 i) (/.f64 i n))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 100 n)
(*.f64 n 100)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(fma.f64 50 (*.f64 n i) (*.f64 n 100))
(fma.f64 n 100 (*.f64 n (*.f64 i 50)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 n (fma.f64 i 50 100))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(fma.f64 50 (*.f64 n i) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 n 100)))
(fma.f64 (*.f64 n i) 50 (fma.f64 n 100 (*.f64 (*.f64 i i) (*.f64 n 50/3))))
(fma.f64 n 100 (*.f64 n (+.f64 (*.f64 i 50) (*.f64 i (*.f64 i 50/3)))))
(*.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 n 100))))
(fma.f64 (*.f64 n i) 50 (fma.f64 (*.f64 n (pow.f64 i 3)) 25/6 (fma.f64 n 100 (*.f64 (*.f64 i i) (*.f64 n 50/3)))))
(fma.f64 n (*.f64 (pow.f64 i 3) 25/6) (fma.f64 n 100 (*.f64 n (+.f64 (*.f64 i 50) (*.f64 i (*.f64 i 50/3))))))
(*.f64 n (+.f64 (fma.f64 i 50 100) (*.f64 (*.f64 i i) (+.f64 50/3 (*.f64 i 25/6)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 n (/.f64 i 100)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 -1/2 (/.f64 i n) (/.f64 1 n))
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n))))
(+.f64 (/.f64 1 n) (fma.f64 1/12 (/.f64 (*.f64 i i) n) (*.f64 -1/2 (/.f64 i n))))
(+.f64 (fma.f64 -1/2 (/.f64 i n) (/.f64 1 n)) (*.f64 1/12 (/.f64 i (/.f64 n i))))
(fma.f64 1/12 (*.f64 (/.f64 i n) i) (fma.f64 -1/2 (/.f64 i n) (/.f64 1 n)))
(fma.f64 1/12 (*.f64 i (/.f64 i n)) (fma.f64 -1/2 (/.f64 i n) (/.f64 1 n)))
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12))))
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 -1/720 (/.f64 (pow.f64 i 4) n)))))
(+.f64 (/.f64 1 n) (fma.f64 1/12 (/.f64 (*.f64 i i) n) (fma.f64 -1/2 (/.f64 i n) (*.f64 -1/720 (/.f64 (pow.f64 i 4) n)))))
(+.f64 (/.f64 1 n) (fma.f64 1/12 (/.f64 i (/.f64 n i)) (fma.f64 -1/2 (/.f64 i n) (*.f64 -1/720 (/.f64 (pow.f64 i 4) n)))))
(+.f64 (/.f64 1 n) (fma.f64 -1/2 (/.f64 i n) (fma.f64 1/12 (*.f64 (/.f64 i n) i) (*.f64 -1/720 (/.f64 (pow.f64 i 4) n)))))
(fma.f64 -1/2 (/.f64 i n) (fma.f64 1/12 (*.f64 i (/.f64 i n)) (fma.f64 -1/720 (/.f64 (pow.f64 i 4) n) (/.f64 1 n))))
(+.f64 (/.f64 1 n) (fma.f64 -1/720 (/.f64 (pow.f64 i 4) n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12)))))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))

localize5.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 i (*.f64 1/3 (/.f64 i n)))
✓0.2b
(*.f64 100 (*.f64 i (*.f64 1/3 (/.f64 i n))))
✓0.2b
(*.f64 1/3 (/.f64 i n))
Compiler

Compiled 30 to 15 computations (50% saved)

series165.0ms (0.6%)

Counts
3 → 48
Calls

18 calls:

TimeVariablePointExpression
149.0ms
i
@inf
(*.f64 i (*.f64 1/3 (/.f64 i n)))
1.0ms
n
@0
(*.f64 100 (*.f64 i (*.f64 1/3 (/.f64 i n))))
1.0ms
i
@0
(*.f64 100 (*.f64 i (*.f64 1/3 (/.f64 i n))))
1.0ms
n
@inf
(*.f64 100 (*.f64 i (*.f64 1/3 (/.f64 i n))))
1.0ms
i
@inf
(*.f64 100 (*.f64 i (*.f64 1/3 (/.f64 i n))))

rewrite92.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
958×pow1_binary64
892×add-log-exp_binary64
892×log1p-expm1-u_binary64
892×expm1-log1p-u_binary64
93×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
119330
2242330
Stop Event
1×node limit
Counts
3 → 53
Calls
Call 1
Inputs
(*.f64 1/3 (/.f64 i n))
(*.f64 100 (*.f64 i (*.f64 1/3 (/.f64 i n))))
(*.f64 i (*.f64 1/3 (/.f64 i n)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (/.f64 n i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 n (*.f64 1/3 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 i) n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/3 i)) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 i) 1) n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 i) (cbrt.f64 (*.f64 n n))) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 i) (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 i) 1/3) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (neg.f64 i)) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (/.f64 n i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 (/.f64 n i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 (/.f64 n i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 (/.f64 n i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1/3 (/.f64 n i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 (/.f64 n i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 (/.f64 n i))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 i (*.f64 (/.f64 1/3 (/.f64 n i)) 100)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 i 100) (*.f64 1/3 i)) n)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 i (*.f64 (/.f64 1/3 (/.f64 n i)) 100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 i (*.f64 (/.f64 1/3 (/.f64 n i)) 100)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 i (*.f64 (/.f64 1/3 (/.f64 n i)) 100))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 i (/.f64 1/3 (/.f64 n i)))) 10) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 i (/.f64 1/3 (/.f64 n i))) 2) 10000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) (*.f64 i (/.f64 1/3 (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 i (*.f64 (/.f64 1/3 (/.f64 n i)) 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 i (*.f64 (/.f64 1/3 (/.f64 n i)) 100)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 i (*.f64 (/.f64 1/3 (/.f64 n i)) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 i (*.f64 (/.f64 1/3 (/.f64 n i)) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 i (*.f64 (/.f64 1/3 (/.f64 n i)) 100))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 i (/.f64 1/3 (/.f64 n i))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 i) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 i (*.f64 1/3 i)) n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 i) i) n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 i) 1) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 i) (neg.f64 i)) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 i (/.f64 1/3 (/.f64 n i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 i (/.f64 1/3 (/.f64 n i))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 i (/.f64 1/3 (/.f64 n i)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 i (/.f64 1/3 (/.f64 n i)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 i (/.f64 1/3 (/.f64 n i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 i) (/.f64 1/3 (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 i (/.f64 1/3 (/.f64 n i))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 i (/.f64 1/3 (/.f64 n i))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 i 3) (pow.f64 (/.f64 1/3 (/.f64 n i)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/3 (/.f64 n i)) 3) (pow.f64 i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 i (/.f64 1/3 (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 i (/.f64 1/3 (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 i (/.f64 1/3 (/.f64 n i)))))))))

simplify179.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1141×associate-*l/_binary64
961×associate-*r/_binary64
682×*-commutative_binary64
368×associate-/l*_binary64
343×sqr-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010480
121480
241480
385480
4245480
5936480
62457480
73703480
83805480
93955480
104130480
114407480
124734480
137459480
147926480
Stop Event
1×node limit
Counts
101 → 57
Calls
Call 1
Inputs
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
Outputs
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (*.f64 i i) n))
(*.f64 100/3 (*.f64 (/.f64 i n) i))
(*.f64 100/3 (*.f64 i (/.f64 i n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (*.f64 i i) n))
(*.f64 100/3 (*.f64 (/.f64 i n) i))
(*.f64 100/3 (*.f64 i (/.f64 i n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (*.f64 i i) n))
(*.f64 100/3 (*.f64 (/.f64 i n) i))
(*.f64 100/3 (*.f64 i (/.f64 i n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (*.f64 i i) n))
(*.f64 100/3 (*.f64 (/.f64 i n) i))
(*.f64 100/3 (*.f64 i (/.f64 i n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (*.f64 i i) n))
(*.f64 100/3 (*.f64 (/.f64 i n) i))
(*.f64 100/3 (*.f64 i (/.f64 i n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (*.f64 i i) n))
(*.f64 100/3 (*.f64 (/.f64 i n) i))
(*.f64 100/3 (*.f64 i (/.f64 i n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (*.f64 i i) n))
(*.f64 100/3 (*.f64 (/.f64 i n) i))
(*.f64 100/3 (*.f64 i (/.f64 i n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (*.f64 i i) n))
(*.f64 100/3 (*.f64 (/.f64 i n) i))
(*.f64 100/3 (*.f64 i (/.f64 i n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (*.f64 i i) n))
(*.f64 100/3 (*.f64 (/.f64 i n) i))
(*.f64 100/3 (*.f64 i (/.f64 i n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (*.f64 i i) n))
(*.f64 100/3 (*.f64 (/.f64 i n) i))
(*.f64 100/3 (*.f64 i (/.f64 i n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (*.f64 i i) n))
(*.f64 100/3 (*.f64 (/.f64 i n) i))
(*.f64 100/3 (*.f64 i (/.f64 i n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (*.f64 i i) n))
(*.f64 100/3 (*.f64 (/.f64 i n) i))
(*.f64 100/3 (*.f64 i (/.f64 i n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (*.f64 i i) n))
(*.f64 100/3 (*.f64 (/.f64 i n) i))
(*.f64 100/3 (*.f64 i (/.f64 i n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (*.f64 i i) n))
(*.f64 100/3 (*.f64 (/.f64 i n) i))
(*.f64 100/3 (*.f64 i (/.f64 i n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (*.f64 i i) n))
(*.f64 100/3 (*.f64 (/.f64 i n) i))
(*.f64 100/3 (*.f64 i (/.f64 i n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (*.f64 i i) n))
(*.f64 100/3 (*.f64 (/.f64 i n) i))
(*.f64 100/3 (*.f64 i (/.f64 i n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (*.f64 i i) n))
(*.f64 100/3 (*.f64 (/.f64 i n) i))
(*.f64 100/3 (*.f64 i (/.f64 i n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (*.f64 i i) n))
(*.f64 100/3 (*.f64 (/.f64 i n) i))
(*.f64 100/3 (*.f64 i (/.f64 i n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (*.f64 i i) n))
(*.f64 100/3 (*.f64 (/.f64 i n) i))
(*.f64 100/3 (*.f64 i (/.f64 i n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (*.f64 i i) n))
(*.f64 100/3 (*.f64 (/.f64 i n) i))
(*.f64 100/3 (*.f64 i (/.f64 i n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (*.f64 i i) n))
(*.f64 100/3 (*.f64 (/.f64 i n) i))
(*.f64 100/3 (*.f64 i (/.f64 i n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (*.f64 i i) n))
(*.f64 100/3 (*.f64 (/.f64 i n) i))
(*.f64 100/3 (*.f64 i (/.f64 i n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (*.f64 i i) n))
(*.f64 100/3 (*.f64 (/.f64 i n) i))
(*.f64 100/3 (*.f64 i (/.f64 i n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 100/3 (/.f64 (pow.f64 i 2) n))
(*.f64 100/3 (/.f64 (*.f64 i i) n))
(*.f64 100/3 (*.f64 (/.f64 i n) i))
(*.f64 100/3 (*.f64 i (/.f64 i n)))
(*.f64 (*.f64 i i) (/.f64 100/3 n))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(/.f64 (*.f64 1/3 (*.f64 i i)) n)
(/.f64 (*.f64 (*.f64 i i) 1/3) n)
(*.f64 (*.f64 (/.f64 i n) i) 1/3)
(*.f64 (/.f64 (*.f64 i i) n) 1/3)
(*.f64 (*.f64 i i) (/.f64 1/3 n))
(*.f64 i (/.f64 1/3 (/.f64 n i)))
(*.f64 i (*.f64 i (/.f64 1/3 n)))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(/.f64 (*.f64 1/3 (*.f64 i i)) n)
(/.f64 (*.f64 (*.f64 i i) 1/3) n)
(*.f64 (*.f64 (/.f64 i n) i) 1/3)
(*.f64 (/.f64 (*.f64 i i) n) 1/3)
(*.f64 (*.f64 i i) (/.f64 1/3 n))
(*.f64 i (/.f64 1/3 (/.f64 n i)))
(*.f64 i (*.f64 i (/.f64 1/3 n)))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(/.f64 (*.f64 1/3 (*.f64 i i)) n)
(/.f64 (*.f64 (*.f64 i i) 1/3) n)
(*.f64 (*.f64 (/.f64 i n) i) 1/3)
(*.f64 (/.f64 (*.f64 i i) n) 1/3)
(*.f64 (*.f64 i i) (/.f64 1/3 n))
(*.f64 i (/.f64 1/3 (/.f64 n i)))
(*.f64 i (*.f64 i (/.f64 1/3 n)))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(/.f64 (*.f64 1/3 (*.f64 i i)) n)
(/.f64 (*.f64 (*.f64 i i) 1/3) n)
(*.f64 (*.f64 (/.f64 i n) i) 1/3)
(*.f64 (/.f64 (*.f64 i i) n) 1/3)
(*.f64 (*.f64 i i) (/.f64 1/3 n))
(*.f64 i (/.f64 1/3 (/.f64 n i)))
(*.f64 i (*.f64 i (/.f64 1/3 n)))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(/.f64 (*.f64 1/3 (*.f64 i i)) n)
(/.f64 (*.f64 (*.f64 i i) 1/3) n)
(*.f64 (*.f64 (/.f64 i n) i) 1/3)
(*.f64 (/.f64 (*.f64 i i) n) 1/3)
(*.f64 (*.f64 i i) (/.f64 1/3 n))
(*.f64 i (/.f64 1/3 (/.f64 n i)))
(*.f64 i (*.f64 i (/.f64 1/3 n)))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(/.f64 (*.f64 1/3 (*.f64 i i)) n)
(/.f64 (*.f64 (*.f64 i i) 1/3) n)
(*.f64 (*.f64 (/.f64 i n) i) 1/3)
(*.f64 (/.f64 (*.f64 i i) n) 1/3)
(*.f64 (*.f64 i i) (/.f64 1/3 n))
(*.f64 i (/.f64 1/3 (/.f64 n i)))
(*.f64 i (*.f64 i (/.f64 1/3 n)))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(/.f64 (*.f64 1/3 (*.f64 i i)) n)
(/.f64 (*.f64 (*.f64 i i) 1/3) n)
(*.f64 (*.f64 (/.f64 i n) i) 1/3)
(*.f64 (/.f64 (*.f64 i i) n) 1/3)
(*.f64 (*.f64 i i) (/.f64 1/3 n))
(*.f64 i (/.f64 1/3 (/.f64 n i)))
(*.f64 i (*.f64 i (/.f64 1/3 n)))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(/.f64 (*.f64 1/3 (*.f64 i i)) n)
(/.f64 (*.f64 (*.f64 i i) 1/3) n)
(*.f64 (*.f64 (/.f64 i n) i) 1/3)
(*.f64 (/.f64 (*.f64 i i) n) 1/3)
(*.f64 (*.f64 i i) (/.f64 1/3 n))
(*.f64 i (/.f64 1/3 (/.f64 n i)))
(*.f64 i (*.f64 i (/.f64 1/3 n)))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(/.f64 (*.f64 1/3 (*.f64 i i)) n)
(/.f64 (*.f64 (*.f64 i i) 1/3) n)
(*.f64 (*.f64 (/.f64 i n) i) 1/3)
(*.f64 (/.f64 (*.f64 i i) n) 1/3)
(*.f64 (*.f64 i i) (/.f64 1/3 n))
(*.f64 i (/.f64 1/3 (/.f64 n i)))
(*.f64 i (*.f64 i (/.f64 1/3 n)))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(/.f64 (*.f64 1/3 (*.f64 i i)) n)
(/.f64 (*.f64 (*.f64 i i) 1/3) n)
(*.f64 (*.f64 (/.f64 i n) i) 1/3)
(*.f64 (/.f64 (*.f64 i i) n) 1/3)
(*.f64 (*.f64 i i) (/.f64 1/3 n))
(*.f64 i (/.f64 1/3 (/.f64 n i)))
(*.f64 i (*.f64 i (/.f64 1/3 n)))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(/.f64 (*.f64 1/3 (*.f64 i i)) n)
(/.f64 (*.f64 (*.f64 i i) 1/3) n)
(*.f64 (*.f64 (/.f64 i n) i) 1/3)
(*.f64 (/.f64 (*.f64 i i) n) 1/3)
(*.f64 (*.f64 i i) (/.f64 1/3 n))
(*.f64 i (/.f64 1/3 (/.f64 n i)))
(*.f64 i (*.f64 i (/.f64 1/3 n)))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(/.f64 (*.f64 1/3 (*.f64 i i)) n)
(/.f64 (*.f64 (*.f64 i i) 1/3) n)
(*.f64 (*.f64 (/.f64 i n) i) 1/3)
(*.f64 (/.f64 (*.f64 i i) n) 1/3)
(*.f64 (*.f64 i i) (/.f64 1/3 n))
(*.f64 i (/.f64 1/3 (/.f64 n i)))
(*.f64 i (*.f64 i (/.f64 1/3 n)))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(/.f64 (*.f64 1/3 (*.f64 i i)) n)
(/.f64 (*.f64 (*.f64 i i) 1/3) n)
(*.f64 (*.f64 (/.f64 i n) i) 1/3)
(*.f64 (/.f64 (*.f64 i i) n) 1/3)
(*.f64 (*.f64 i i) (/.f64 1/3 n))
(*.f64 i (/.f64 1/3 (/.f64 n i)))
(*.f64 i (*.f64 i (/.f64 1/3 n)))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(/.f64 (*.f64 1/3 (*.f64 i i)) n)
(/.f64 (*.f64 (*.f64 i i) 1/3) n)
(*.f64 (*.f64 (/.f64 i n) i) 1/3)
(*.f64 (/.f64 (*.f64 i i) n) 1/3)
(*.f64 (*.f64 i i) (/.f64 1/3 n))
(*.f64 i (/.f64 1/3 (/.f64 n i)))
(*.f64 i (*.f64 i (/.f64 1/3 n)))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(/.f64 (*.f64 1/3 (*.f64 i i)) n)
(/.f64 (*.f64 (*.f64 i i) 1/3) n)
(*.f64 (*.f64 (/.f64 i n) i) 1/3)
(*.f64 (/.f64 (*.f64 i i) n) 1/3)
(*.f64 (*.f64 i i) (/.f64 1/3 n))
(*.f64 i (/.f64 1/3 (/.f64 n i)))
(*.f64 i (*.f64 i (/.f64 1/3 n)))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(/.f64 (*.f64 1/3 (*.f64 i i)) n)
(/.f64 (*.f64 (*.f64 i i) 1/3) n)
(*.f64 (*.f64 (/.f64 i n) i) 1/3)
(*.f64 (/.f64 (*.f64 i i) n) 1/3)
(*.f64 (*.f64 i i) (/.f64 1/3 n))
(*.f64 i (/.f64 1/3 (/.f64 n i)))
(*.f64 i (*.f64 i (/.f64 1/3 n)))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(/.f64 (*.f64 1/3 (*.f64 i i)) n)
(/.f64 (*.f64 (*.f64 i i) 1/3) n)
(*.f64 (*.f64 (/.f64 i n) i) 1/3)
(*.f64 (/.f64 (*.f64 i i) n) 1/3)
(*.f64 (*.f64 i i) (/.f64 1/3 n))
(*.f64 i (/.f64 1/3 (/.f64 n i)))
(*.f64 i (*.f64 i (/.f64 1/3 n)))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(/.f64 (*.f64 1/3 (*.f64 i i)) n)
(/.f64 (*.f64 (*.f64 i i) 1/3) n)
(*.f64 (*.f64 (/.f64 i n) i) 1/3)
(*.f64 (/.f64 (*.f64 i i) n) 1/3)
(*.f64 (*.f64 i i) (/.f64 1/3 n))
(*.f64 i (/.f64 1/3 (/.f64 n i)))
(*.f64 i (*.f64 i (/.f64 1/3 n)))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(/.f64 (*.f64 1/3 (*.f64 i i)) n)
(/.f64 (*.f64 (*.f64 i i) 1/3) n)
(*.f64 (*.f64 (/.f64 i n) i) 1/3)
(*.f64 (/.f64 (*.f64 i i) n) 1/3)
(*.f64 (*.f64 i i) (/.f64 1/3 n))
(*.f64 i (/.f64 1/3 (/.f64 n i)))
(*.f64 i (*.f64 i (/.f64 1/3 n)))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(/.f64 (*.f64 1/3 (*.f64 i i)) n)
(/.f64 (*.f64 (*.f64 i i) 1/3) n)
(*.f64 (*.f64 (/.f64 i n) i) 1/3)
(*.f64 (/.f64 (*.f64 i i) n) 1/3)
(*.f64 (*.f64 i i) (/.f64 1/3 n))
(*.f64 i (/.f64 1/3 (/.f64 n i)))
(*.f64 i (*.f64 i (/.f64 1/3 n)))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(/.f64 (*.f64 1/3 (*.f64 i i)) n)
(/.f64 (*.f64 (*.f64 i i) 1/3) n)
(*.f64 (*.f64 (/.f64 i n) i) 1/3)
(*.f64 (/.f64 (*.f64 i i) n) 1/3)
(*.f64 (*.f64 i i) (/.f64 1/3 n))
(*.f64 i (/.f64 1/3 (/.f64 n i)))
(*.f64 i (*.f64 i (/.f64 1/3 n)))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(/.f64 (*.f64 1/3 (*.f64 i i)) n)
(/.f64 (*.f64 (*.f64 i i) 1/3) n)
(*.f64 (*.f64 (/.f64 i n) i) 1/3)
(*.f64 (/.f64 (*.f64 i i) n) 1/3)
(*.f64 (*.f64 i i) (/.f64 1/3 n))
(*.f64 i (/.f64 1/3 (/.f64 n i)))
(*.f64 i (*.f64 i (/.f64 1/3 n)))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(/.f64 (*.f64 1/3 (*.f64 i i)) n)
(/.f64 (*.f64 (*.f64 i i) 1/3) n)
(*.f64 (*.f64 (/.f64 i n) i) 1/3)
(*.f64 (/.f64 (*.f64 i i) n) 1/3)
(*.f64 (*.f64 i i) (/.f64 1/3 n))
(*.f64 i (/.f64 1/3 (/.f64 n i)))
(*.f64 i (*.f64 i (/.f64 1/3 n)))
(*.f64 1/3 (/.f64 (pow.f64 i 2) n))
(/.f64 (*.f64 1/3 (*.f64 i i)) n)
(/.f64 (*.f64 (*.f64 i i) 1/3) n)
(*.f64 (*.f64 (/.f64 i n) i) 1/3)
(*.f64 (/.f64 (*.f64 i i) n) 1/3)
(*.f64 (*.f64 i i) (/.f64 1/3 n))
(*.f64 i (/.f64 1/3 (/.f64 n i)))
(*.f64 i (*.f64 i (/.f64 1/3 n)))

localize212.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))
✓0.3b
(*.f64 i (+.f64 50/3 (*.f64 i 25/6)))
✓0.5b
(*.f64 i 25/6)
✓1.9b
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
Compiler

Compiled 71 to 53 computations (25.4% saved)

series17.0ms (0.1%)

Counts
4 → 60
Calls

15 calls:

TimeVariablePointExpression
2.0ms
n
@0
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
2.0ms
i
@0
(*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))
1.0ms
n
@inf
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
1.0ms
i
@-inf
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
1.0ms
n
@-inf
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))

rewrite205.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
881×prod-diff_binary64
493×fma-def_binary64
289×expm1-udef_binary64
289×log1p-udef_binary64
266×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01448
133340
2466340
Stop Event
1×node limit
Counts
4 → 164
Calls
Call 1
Inputs
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 i 25/6)
(*.f64 i (+.f64 50/3 (*.f64 i 25/6)))
(*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 i (fma.f64 i 25/6 50/3) 50) (*.f64 i n)) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n 100) (*.f64 (fma.f64 i (fma.f64 i 25/6 50/3) 50) (*.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 n 100) 1) (*.f64 (*.f64 (fma.f64 i (fma.f64 i 25/6 50/3) 50) (*.f64 i n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i 25/6 50/3) 50) 100)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 n 100) 3) (pow.f64 (*.f64 (fma.f64 i (fma.f64 i 25/6 50/3) 50) (*.f64 i n)) 3)) (fma.f64 (*.f64 n 100) (*.f64 n 100) (-.f64 (*.f64 (*.f64 (fma.f64 i (fma.f64 i 25/6 50/3) 50) (*.f64 i n)) (*.f64 (fma.f64 i (fma.f64 i 25/6 50/3) 50) (*.f64 i n))) (*.f64 (*.f64 n 100) (*.f64 (fma.f64 i (fma.f64 i 25/6 50/3) 50) (*.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 n 100) 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(fma.f64 i (fma.f64 i 25/6 50/3) 50) (*.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 n (*.f64 i (fma.f64 i (fma.f64 i 25/6 50/3) 50)) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 100 n (*.f64 (fma.f64 i (fma.f64 i 25/6 50/3) 50) (*.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 i (*.f64 (fma.f64 i (fma.f64 i 25/6 50/3) 50) n) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 i (fma.f64 i 25/6 50/3) 50) (*.f64 i n) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 i (fma.f64 i (fma.f64 i 25/6 50/3) 50)) n (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (fma.f64 i (fma.f64 i 25/6 50/3) 50) (*.f64 i n)) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 n 100) (*.f64 (fma.f64 i (fma.f64 i 25/6 50/3) 50) (*.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) 100) (*.f64 (fma.f64 i 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(*.f64 (sqrt.f64 i) (sqrt.f64 (*.f64 i (fma.f64 i 25/6 50/3)))) (*.f64 i 50))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 i (fma.f64 i 25/6 50/3)) (cbrt.f64 (*.f64 i i))) (cbrt.f64 i) (*.f64 i 50))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 i (fma.f64 i 25/6 50/3)) (sqrt.f64 i)) (sqrt.f64 i) (*.f64 i 50))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 50 (cbrt.f64 (*.f64 i i))) (cbrt.f64 i) (*.f64 (fma.f64 i 25/6 50/3) (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 50 (sqrt.f64 i)) (sqrt.f64 i) (*.f64 (fma.f64 i 25/6 50/3) (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 i (pow.f64 (cbrt.f64 (*.f64 i (fma.f64 i 25/6 50/3))) 2)) (cbrt.f64 (*.f64 i (fma.f64 i 25/6 50/3))) (*.f64 i 50))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 i (sqrt.f64 (*.f64 i (fma.f64 i 25/6 50/3)))) (sqrt.f64 (*.f64 i (fma.f64 i 25/6 50/3))) (*.f64 i 50))))))

simplify221.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
757×sqr-pow_binary64
649×fma-def_binary64
493×*-commutative_binary64
471×distribute-lft-out_binary64
374×pow-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042810
1118693
2273609
3674602
42211602
53251602
64105602
74218602
84396602
94622602
104986602
115532602
126153602
136681602
147345602
Stop Event
1×node limit
Counts
224 → 195
Calls
Call 1
Inputs
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 (+.f64 50/3 (*.f64 25/6 i)) i)))) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 (+.f64 50/3 (*.f64 25/6 i)) i)))) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 (+.f64 50/3 (*.f64 25/6 i)) i)))) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 (+.f64 50/3 (*.f64 25/6 i)) i)))) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 (+.f64 50/3 (*.f64 25/6 i)) i)))) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 (+.f64 50/3 (*.f64 25/6 i)) i)))) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 (+.f64 50/3 (*.f64 25/6 i)) i)))) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 (+.f64 50/3 (*.f64 25/6 i)) i)))) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 (+.f64 50/3 (*.f64 25/6 i)) i)))) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 (+.f64 50/3 (*.f64 25/6 i)) i)))) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 (+.f64 50/3 (*.f64 25/6 i)) i)))) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 (+.f64 50/3 (*.f64 25/6 i)) i)))) n)
(*.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 25/6 (*.f64 n (pow.f64 i 3)))
(+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (*.f64 50/3 (*.f64 n (pow.f64 i 2))))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (*.f64 50/3 (*.f64 n (pow.f64 i 2)))))
(+.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 25/6 (*.f64 n (pow.f64 i 3)))
(+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (*.f64 50/3 (*.f64 n (pow.f64 i 2))))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (*.f64 50/3 (*.f64 n (pow.f64 i 2)))))
(+.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 25/6 i)
(*.f64 25/6 i)
(*.f64 25/6 i)
(*.f64 25/6 i)
(*.f64 25/6 i)
(*.f64 25/6 i)
(*.f64 25/6 i)
(*.f64 25/6 i)
(*.f64 25/6 i)
(*.f64 25/6 i)
(*.f64 25/6 i)
(*.f64 25/6 i)
(*.f64 50/3 i)
(+.f64 (*.f64 25/6 (pow.f64 i 2)) (*.f64 50/3 i))
(+.f64 (*.f64 25/6 (pow.f64 i 2)) (*.f64 50/3 i))
(+.f64 (*.f64 25/6 (pow.f64 i 2)) (*.f64 50/3 i))
(*.f64 25/6 (pow.f64 i 2))
(+.f64 (*.f64 25/6 (pow.f64 i 2)) (*.f64 50/3 i))
(+.f64 (*.f64 25/6 (pow.f64 i 2)) (*.f64 50/3 i))
(+.f64 (*.f64 25/6 (pow.f64 i 2)) (*.f64 50/3 i))
(*.f64 25/6 (pow.f64 i 2))
(+.f64 (*.f64 25/6 (pow.f64 i 2)) (*.f64 50/3 i))
(+.f64 (*.f64 25/6 (pow.f64 i 2)) (*.f64 50/3 i))
(+.f64 (*.f64 25/6 (pow.f64 i 2)) (*.f64 50/3 i))
(*.f64 50 i)
(+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))
(+.f64 (*.f64 25/6 (pow.f64 i 3)) (+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2))))
(+.f64 (*.f64 25/6 (pow.f64 i 3)) (+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2))))
(*.f64 25/6 (pow.f64 i 3))
(+.f64 (*.f64 25/6 (pow.f64 i 3)) (*.f64 50/3 (pow.f64 i 2)))
(+.f64 (*.f64 50 i) (+.f64 (*.f64 25/6 (pow.f64 i 3)) (*.f64 50/3 (pow.f64 i 2))))
(+.f64 (*.f64 50 i) (+.f64 (*.f64 25/6 (pow.f64 i 3)) (*.f64 50/3 (pow.f64 i 2))))
(*.f64 25/6 (pow.f64 i 3))
(+.f64 (*.f64 25/6 (pow.f64 i 3)) (*.f64 50/3 (pow.f64 i 2)))
(+.f64 (*.f64 50 i) (+.f64 (*.f64 25/6 (pow.f64 i 3)) (*.f64 50/3 (pow.f64 i 2))))
(+.f64 (*.f64 50 i) (+.f64 (*.f64 25/6 (pow.f64 i 3)) (*.f64 50/3 (pow.f64 i 2))))
Outputs
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 (+.f64 50/3 (*.f64 25/6 i)) i)))) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6)))))) n)
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i 25/6 50/3) 50) 100) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 (+.f64 50/3 (*.f64 25/6 i)) i)))) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6)))))) n)
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i 25/6 50/3) 50) 100) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 (+.f64 50/3 (*.f64 25/6 i)) i)))) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6)))))) n)
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i 25/6 50/3) 50) 100) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 (+.f64 50/3 (*.f64 25/6 i)) i)))) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6)))))) n)
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i 25/6 50/3) 50) 100) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 (+.f64 50/3 (*.f64 25/6 i)) i)))) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6)))))) n)
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i 25/6 50/3) 50) 100) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 (+.f64 50/3 (*.f64 25/6 i)) i)))) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6)))))) n)
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i 25/6 50/3) 50) 100) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 (+.f64 50/3 (*.f64 25/6 i)) i)))) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6)))))) n)
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i 25/6 50/3) 50) 100) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 (+.f64 50/3 (*.f64 25/6 i)) i)))) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6)))))) n)
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i 25/6 50/3) 50) 100) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 (+.f64 50/3 (*.f64 25/6 i)) i)))) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6)))))) n)
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i 25/6 50/3) 50) 100) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 (+.f64 50/3 (*.f64 25/6 i)) i)))) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6)))))) n)
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i 25/6 50/3) 50) 100) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 (+.f64 50/3 (*.f64 25/6 i)) i)))) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6)))))) n)
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i 25/6 50/3) 50) 100) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 (+.f64 50/3 (*.f64 25/6 i)) i)))) n)
(*.f64 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6)))))) n)
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i 25/6 50/3) 50) 100) n)
(*.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 i (*.f64 50 n)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 n (fma.f64 i 50 100))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(fma.f64 50 (*.f64 i n) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 100 n)))
(fma.f64 50 (*.f64 i n) (fma.f64 100 n (*.f64 50/3 (*.f64 n (*.f64 i i)))))
(fma.f64 100 n (*.f64 n (*.f64 i (+.f64 (*.f64 i 50/3) 50))))
(*.f64 n (+.f64 100 (*.f64 i (fma.f64 i 50/3 50))))
(+.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 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6)))))) n)
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i 25/6 50/3) 50) 100) n)
(*.f64 25/6 (*.f64 n (pow.f64 i 3)))
(+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (*.f64 50/3 (*.f64 n (pow.f64 i 2))))
(fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (*.f64 50/3 (*.f64 n (*.f64 i i))))
(fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 25/6 (*.f64 n (pow.f64 i 3))))
(*.f64 n (*.f64 i (*.f64 i (fma.f64 i 25/6 50/3))))
(*.f64 (fma.f64 i 25/6 50/3) (*.f64 i (*.f64 i n)))
(*.f64 (fma.f64 i 25/6 50/3) (*.f64 n (*.f64 i i)))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (*.f64 50/3 (*.f64 n (pow.f64 i 2)))))
(fma.f64 50 (*.f64 i n) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (*.f64 50/3 (*.f64 n (*.f64 i i)))))
(fma.f64 50 (*.f64 i n) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 25/6 (*.f64 n (pow.f64 i 3)))))
(*.f64 i (*.f64 (fma.f64 i (fma.f64 i 25/6 50/3) 50) n))
(*.f64 (fma.f64 i (fma.f64 i 25/6 50/3) 50) (*.f64 i 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 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6)))))) n)
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i 25/6 50/3) 50) 100) n)
(*.f64 25/6 (*.f64 n (pow.f64 i 3)))
(+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (*.f64 50/3 (*.f64 n (pow.f64 i 2))))
(fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (*.f64 50/3 (*.f64 n (*.f64 i i))))
(fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 25/6 (*.f64 n (pow.f64 i 3))))
(*.f64 n (*.f64 i (*.f64 i (fma.f64 i 25/6 50/3))))
(*.f64 (fma.f64 i 25/6 50/3) (*.f64 i (*.f64 i n)))
(*.f64 (fma.f64 i 25/6 50/3) (*.f64 n (*.f64 i i)))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (*.f64 50/3 (*.f64 n (pow.f64 i 2)))))
(fma.f64 50 (*.f64 i n) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (*.f64 50/3 (*.f64 n (*.f64 i i)))))
(fma.f64 50 (*.f64 i n) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 25/6 (*.f64 n (pow.f64 i 3)))))
(*.f64 i (*.f64 (fma.f64 i (fma.f64 i 25/6 50/3) 50) n))
(*.f64 (fma.f64 i (fma.f64 i 25/6 50/3) 50) (*.f64 i 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 (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6)))))) n)
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i 25/6 50/3) 50) 100) n)
(*.f64 25/6 i)
(*.f64 i 25/6)
(*.f64 25/6 i)
(*.f64 i 25/6)
(*.f64 25/6 i)
(*.f64 i 25/6)
(*.f64 25/6 i)
(*.f64 i 25/6)
(*.f64 25/6 i)
(*.f64 i 25/6)
(*.f64 25/6 i)
(*.f64 i 25/6)
(*.f64 25/6 i)
(*.f64 i 25/6)
(*.f64 25/6 i)
(*.f64 i 25/6)
(*.f64 25/6 i)
(*.f64 i 25/6)
(*.f64 25/6 i)
(*.f64 i 25/6)
(*.f64 25/6 i)
(*.f64 i 25/6)
(*.f64 25/6 i)
(*.f64 i 25/6)
(*.f64 50/3 i)
(*.f64 i 50/3)
(+.f64 (*.f64 25/6 (pow.f64 i 2)) (*.f64 50/3 i))
(fma.f64 25/6 (*.f64 i i) (*.f64 i 50/3))
(*.f64 i (fma.f64 i 25/6 50/3))
(+.f64 (*.f64 25/6 (pow.f64 i 2)) (*.f64 50/3 i))
(fma.f64 25/6 (*.f64 i i) (*.f64 i 50/3))
(*.f64 i (fma.f64 i 25/6 50/3))
(+.f64 (*.f64 25/6 (pow.f64 i 2)) (*.f64 50/3 i))
(fma.f64 25/6 (*.f64 i i) (*.f64 i 50/3))
(*.f64 i (fma.f64 i 25/6 50/3))
(*.f64 25/6 (pow.f64 i 2))
(*.f64 25/6 (*.f64 i i))
(*.f64 i (*.f64 i 25/6))
(+.f64 (*.f64 25/6 (pow.f64 i 2)) (*.f64 50/3 i))
(fma.f64 25/6 (*.f64 i i) (*.f64 i 50/3))
(*.f64 i (fma.f64 i 25/6 50/3))
(+.f64 (*.f64 25/6 (pow.f64 i 2)) (*.f64 50/3 i))
(fma.f64 25/6 (*.f64 i i) (*.f64 i 50/3))
(*.f64 i (fma.f64 i 25/6 50/3))
(+.f64 (*.f64 25/6 (pow.f64 i 2)) (*.f64 50/3 i))
(fma.f64 25/6 (*.f64 i i) (*.f64 i 50/3))
(*.f64 i (fma.f64 i 25/6 50/3))
(*.f64 25/6 (pow.f64 i 2))
(*.f64 25/6 (*.f64 i i))
(*.f64 i (*.f64 i 25/6))
(+.f64 (*.f64 25/6 (pow.f64 i 2)) (*.f64 50/3 i))
(fma.f64 25/6 (*.f64 i i) (*.f64 i 50/3))
(*.f64 i (fma.f64 i 25/6 50/3))
(+.f64 (*.f64 25/6 (pow.f64 i 2)) (*.f64 50/3 i))
(fma.f64 25/6 (*.f64 i i) (*.f64 i 50/3))
(*.f64 i (fma.f64 i 25/6 50/3))
(+.f64 (*.f64 25/6 (pow.f64 i 2)) (*.f64 50/3 i))
(fma.f64 25/6 (*.f64 i i) (*.f64 i 50/3))
(*.f64 i (fma.f64 i 25/6 50/3))
(*.f64 50 i)
(*.f64 i 50)
(+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))
(fma.f64 50 i (*.f64 50/3 (*.f64 i i)))
(fma.f64 i 50 (*.f64 i (*.f64 i 50/3)))
(*.f64 i (+.f64 (*.f64 i 50/3) 50))
(*.f64 i (fma.f64 i 50/3 50))
(+.f64 (*.f64 25/6 (pow.f64 i 3)) (+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2))))
(fma.f64 25/6 (pow.f64 i 3) (fma.f64 50 i (*.f64 50/3 (*.f64 i i))))
(fma.f64 i 50 (fma.f64 50/3 (*.f64 i i) (*.f64 25/6 (pow.f64 i 3))))
(*.f64 i (fma.f64 i (fma.f64 i 25/6 50/3) 50))
(+.f64 (*.f64 25/6 (pow.f64 i 3)) (+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2))))
(fma.f64 25/6 (pow.f64 i 3) (fma.f64 50 i (*.f64 50/3 (*.f64 i i))))
(fma.f64 i 50 (fma.f64 50/3 (*.f64 i i) (*.f64 25/6 (pow.f64 i 3))))
(*.f64 i (fma.f64 i (fma.f64 i 25/6 50/3) 50))
(*.f64 25/6 (pow.f64 i 3))
(+.f64 (*.f64 25/6 (pow.f64 i 3)) (*.f64 50/3 (pow.f64 i 2)))
(fma.f64 25/6 (pow.f64 i 3) (*.f64 50/3 (*.f64 i i)))
(fma.f64 50/3 (*.f64 i i) (*.f64 25/6 (pow.f64 i 3)))
(*.f64 i (*.f64 i (fma.f64 i 25/6 50/3)))
(*.f64 (fma.f64 i 25/6 50/3) (*.f64 i i))
(+.f64 (*.f64 50 i) (+.f64 (*.f64 25/6 (pow.f64 i 3)) (*.f64 50/3 (pow.f64 i 2))))
(fma.f64 25/6 (pow.f64 i 3) (fma.f64 50 i (*.f64 50/3 (*.f64 i i))))
(fma.f64 i 50 (fma.f64 50/3 (*.f64 i i) (*.f64 25/6 (pow.f64 i 3))))
(*.f64 i (fma.f64 i (fma.f64 i 25/6 50/3) 50))
(+.f64 (*.f64 50 i) (+.f64 (*.f64 25/6 (pow.f64 i 3)) (*.f64 50/3 (pow.f64 i 2))))
(fma.f64 25/6 (pow.f64 i 3) (fma.f64 50 i (*.f64 50/3 (*.f64 i i))))
(fma.f64 i 50 (fma.f64 50/3 (*.f64 i i) (*.f64 25/6 (pow.f64 i 3))))
(*.f64 i (fma.f64 i (fma.f64 i 25/6 50/3) 50))
(*.f64 25/6 (pow.f64 i 3))
(+.f64 (*.f64 25/6 (pow.f64 i 3)) (*.f64 50/3 (pow.f64 i 2)))
(fma.f64 25/6 (pow.f64 i 3) (*.f64 50/3 (*.f64 i i)))
(fma.f64 50/3 (*.f64 i i) (*.f64 25/6 (pow.f64 i 3)))
(*.f64 i (*.f64 i (fma.f64 i 25/6 50/3)))
(*.f64 (fma.f64 i 25/6 50/3) (*.f64 i i))
(+.f64 (*.f64 50 i) (+.f64 (*.f64 25/6 (pow.f64 i 3)) (*.f64 50/3 (pow.f64 i 2))))
(fma.f64 25/6 (pow.f64 i 3) (fma.f64 50 i (*.f64 50/3 (*.f64 i i))))
(fma.f64 i 50 (fma.f64 50/3 (*.f64 i i) (*.f64 25/6 (pow.f64 i 3))))
(*.f64 i (fma.f64 i (fma.f64 i 25/6 50/3) 50))
(+.f64 (*.f64 50 i) (+.f64 (*.f64 25/6 (pow.f64 i 3)) (*.f64 50/3 (pow.f64 i 2))))
(fma.f64 25/6 (pow.f64 i 3) (fma.f64 50 i (*.f64 50/3 (*.f64 i i))))
(fma.f64 i 50 (fma.f64 50/3 (*.f64 i i) (*.f64 25/6 (pow.f64 i 3))))
(*.f64 i (fma.f64 i (fma.f64 i 25/6 50/3) 50))

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(expm1.f64 i)
✓0.0b
(*.f64 (expm1.f64 i) 100)
✓0.1b
(/.f64 (*.f64 (expm1.f64 i) 100) i)
✓0.2b
(/.f64 (/.f64 (*.f64 (expm1.f64 i) 100) i) (/.f64 1 n))
Compiler

Compiled 31 to 18 computations (41.9% saved)

series8.0ms (0%)

Counts
3 → 48
Calls

12 calls:

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

rewrite102.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
549×log-prod_binary64
429×exp-prod_binary64
338×pow-prod-down_binary64
263×pow2_binary64
191×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01030
121527
2291127
Stop Event
1×node limit
Counts
3 → 146
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (expm1.f64 i) 100) i) (/.f64 1 n))
(/.f64 (*.f64 (expm1.f64 i) 100) i)
(*.f64 (expm1.f64 i) 100)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (*.f64 100 (/.f64 (expm1.f64 i) i)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (*.f64 100 (/.f64 (expm1.f64 i) i))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (*.f64 100 (/.f64 (expm1.f64 i) i))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (*.f64 100 (/.f64 (expm1.f64 i) i))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (expm1.f64 i) 100) (*.f64 (/.f64 1 i) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) 2)) (*.f64 (cbrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100)) 2)) (cbrt.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 n) (/.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) (pow.f64 n -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))) (*.f64 (sqrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))) (sqrt.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (expm1.f64 i) -100) i) (/.f64 1 (/.f64 -1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) (/.f64 1 n)) (/.f64 100 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (/.f64 1 n)) (/.f64 (expm1.f64 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 i) 2) 10000)) (/.f64 1 n)) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100)) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 i) 100)) (/.f64 1 n)) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 i) 100)) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (expm1.f64 i) 100) 1) (/.f64 (/.f64 1 i) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))) 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(pow.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 n) (/.f64 (*.f64 i 1/100) (expm1.f64 i))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 i 1/100) (expm1.f64 i)) -3) (pow.f64 n -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (*.f64 i 1/100) (expm1.f64 i)) (/.f64 1 n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 i n) (*.f64 (expm1.f64 i) 100)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 1 n) (/.f64 (*.f64 i 1/100) (expm1.f64 i))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (*.f64 i 1/100) (expm1.f64 i)) -3) (pow.f64 n 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 n 3) (pow.f64 (/.f64 (*.f64 i 1/100) (expm1.f64 i)) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 n) (cbrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 n) (sqrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100)))) 2)) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))))) (sqrt.f64 (log.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) (/.f64 -1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 n) (*.f64 100 (/.f64 (expm1.f64 i) i))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 i 1/100) (expm1.f64 i)) -3) (pow.f64 n -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 100 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 100) (/.f64 (expm1.f64 i) i))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 100) (/.f64 (expm1.f64 i) i)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) (/.f64 (expm1.f64 i) i)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) (/.f64 (expm1.f64 i) i)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 i) (*.f64 i 1/100)) (/.f64 1 (*.f64 i 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 i) (/.f64 1 (*.f64 i 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 i) (*.f64 100 (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (/.f64 (expm1.f64 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (*.f64 (expm1.f64 i) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (expm1.f64 i) 100) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 100 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 i) 2) 10000)) (*.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100)) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))) (cbrt.f64 (pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) 2)) (cbrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (expm1.f64 i) 100)) (*.f64 (sqrt.f64 (*.f64 (expm1.f64 i) 100)) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))) (sqrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (expm1.f64 i) -100) (/.f64 1 (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (*.f64 (expm1.f64 i) 100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) 1) (/.f64 100 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) i) 100)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 i) 2) 10000)) 1) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100)) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 i) 100)) 1) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 i) 100)) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) (pow.f64 (cbrt.f64 i) 2)) (/.f64 100 (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (pow.f64 (cbrt.f64 i) 2)) (/.f64 (expm1.f64 i) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 i) -2) (/.f64 (*.f64 (expm1.f64 i) 100) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 i) 2) 10000)) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 i) 100)) (pow.f64 (cbrt.f64 i) 2)) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 i) 100)) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) (sqrt.f64 i)) (/.f64 100 (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (sqrt.f64 i)) (/.f64 (expm1.f64 i) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 i -1/2) (/.f64 (*.f64 (expm1.f64 i) 100) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 i) 2) 10000)) (sqrt.f64 i)) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100)) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 i 1/100) (expm1.f64 i)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 i 1/100) (expm1.f64 i)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 i) 100) 3) (pow.f64 i 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 i 1/100) (expm1.f64 i)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)))) 2)) (cbrt.f64 (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))))) (sqrt.f64 (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (expm1.f64 i) 100) (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 i 1/100) (expm1.f64 i)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 i) 100) 3) (pow.f64 i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 i 1/100) (expm1.f64 i)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 i 1/100) (expm1.f64 i))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (expm1.f64 i) 100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 100) (expm1.f64 i))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 100) (expm1.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) (expm1.f64 i)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) (expm1.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 i) 100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (expm1.f64 i) 100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (expm1.f64 i) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (expm1.f64 i) 2) 10000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (expm1.f64 i) 100) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (expm1.f64 i) 100)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 i) 100))) 2)) (cbrt.f64 (log.f64 (*.f64 (expm1.f64 i) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 i) 100)))) (sqrt.f64 (log.f64 (*.f64 (expm1.f64 i) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (expm1.f64 i) 2) 10000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 i) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (expm1.f64 i) 100) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (expm1.f64 i) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (expm1.f64 i) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (expm1.f64 i) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 i) 100)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (expm1.f64 i) 100))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (expm1.f64 i) 100))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 i) 100)) 1) 1))))))

simplify101.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
915×fma-def_binary64
536×associate-/l/_binary64
527×associate-/l*_binary64
457×distribute-rgt-in_binary64
450×distribute-lft-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
053528
1149526
2371504
31091477
43324477
55581477
Stop Event
1×node limit
Counts
194 → 173
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))
100
(+.f64 100 (*.f64 50 i))
(+.f64 100 (+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2))))
(+.f64 100 (+.f64 (*.f64 50 i) (+.f64 (*.f64 25/6 (pow.f64 i 3)) (*.f64 50/3 (pow.f64 i 2)))))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.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 (-.f64 (exp.f64 i) 1))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (-.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 (fma.f64 50 i 100))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(fma.f64 50 (*.f64 n i) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 100 n)))
(fma.f64 50 (*.f64 n i) (fma.f64 100 n (*.f64 n (*.f64 i (*.f64 i 50/3)))))
(fma.f64 100 n (*.f64 n (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 n (fma.f64 i (fma.f64 i 50/3 50) 100))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n))))
(fma.f64 50 (*.f64 n i) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 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 i (*.f64 i 50/3))))))
(+.f64 (*.f64 n (fma.f64 50 i 100)) (*.f64 n (*.f64 (*.f64 i i) (+.f64 50/3 (*.f64 i 25/6)))))
(*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i 25/6 50/3) (fma.f64 50 i 100)))
(*.f64 n (fma.f64 i (fma.f64 i 50/3 50) (fma.f64 25/6 (pow.f64 i 3) 100)))
(*.f64 n (fma.f64 i (*.f64 i (fma.f64 i 25/6 50/3)) (fma.f64 50 i 100)))
(*.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)))
100
(+.f64 100 (*.f64 50 i))
(fma.f64 50 i 100)
(+.f64 100 (+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2))))
(+.f64 100 (fma.f64 50 i (*.f64 50/3 (*.f64 i i))))
(+.f64 100 (fma.f64 50 i (*.f64 i (*.f64 i 50/3))))
(fma.f64 i (*.f64 i 50/3) (fma.f64 50 i 100))
(fma.f64 i (fma.f64 i 50/3 50) 100)
(+.f64 100 (+.f64 (*.f64 50 i) (+.f64 (*.f64 25/6 (pow.f64 i 3)) (*.f64 50/3 (pow.f64 i 2)))))
(+.f64 100 (fma.f64 50 i (fma.f64 25/6 (pow.f64 i 3) (*.f64 50/3 (*.f64 i i)))))
(+.f64 (fma.f64 50 i 100) (fma.f64 50/3 (*.f64 i i) (*.f64 25/6 (pow.f64 i 3))))
(+.f64 100 (fma.f64 50 i (*.f64 (*.f64 i i) (+.f64 50/3 (*.f64 i 25/6)))))
(fma.f64 (*.f64 i i) (fma.f64 i 25/6 50/3) (fma.f64 50 i 100))
(fma.f64 i (fma.f64 i 50/3 50) (fma.f64 25/6 (pow.f64 i 3) 100))
(fma.f64 i (*.f64 i (fma.f64 i 25/6 50/3)) (fma.f64 50 i 100))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 100 i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 100 i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 100 i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 100 i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 100 i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 100 i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 100 i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 100 i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 100 i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 100 i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 100 i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 100 i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 100 i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 100 i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 100 i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 100 i))
(*.f64 100 i)
(+.f64 (*.f64 100 i) (*.f64 50 (pow.f64 i 2)))
(fma.f64 100 i (*.f64 50 (*.f64 i i)))
(fma.f64 50 (*.f64 i i) (*.f64 100 i))
(*.f64 i (fma.f64 50 i 100))
(+.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 (fma.f64 50 (*.f64 i i) (*.f64 50/3 (pow.f64 i 3))))
(fma.f64 50/3 (pow.f64 i 3) (*.f64 i (fma.f64 50 i 100)))
(*.f64 i (fma.f64 i (fma.f64 i 50/3 50) 100))
(+.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)))))
(+.f64 (*.f64 i (fma.f64 50 i 100)) (fma.f64 50/3 (pow.f64 i 3) (*.f64 25/6 (pow.f64 i 4))))
(fma.f64 i (fma.f64 50 i 100) (*.f64 (pow.f64 i 3) (fma.f64 i 25/6 50/3)))
(*.f64 i (fma.f64 i (fma.f64 i 50/3 50) (fma.f64 25/6 (pow.f64 i 3) 100)))
(*.f64 i (fma.f64 i (*.f64 i (fma.f64 i 25/6 50/3)) (fma.f64 50 i 100)))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (expm1.f64 i))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (expm1.f64 i))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (expm1.f64 i))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (expm1.f64 i))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (expm1.f64 i))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (expm1.f64 i))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (expm1.f64 i))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (expm1.f64 i))

eval385.0ms (1.5%)

Compiler

Compiled 10538 to 6574 computations (37.6% saved)

prune224.0ms (0.9%)

Pruning

40 alts after pruning (31 fresh and 9 done)

PrunedKeptTotal
New65315668
Fresh31619
Picked101
Done1910
Total65840698
Error
0b
Counts
698 → 40
Alt Table
Click to see full alt table
StatusErrorProgram
47.7b
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
48.0b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
✓62.2b
(*.f64 i -50)
✓51.5b
(*.f64 100 0)
27.4b
(/.f64 (/.f64 (*.f64 i 100) i) (/.f64 1 n))
✓14.3b
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
60.5b
(*.f64 25/6 (*.f64 n (pow.f64 i 3)))
✓17.4b
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
✓27.6b
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
62.1b
(*.f64 100 (*.f64 i (/.f64 (*.f64 1/3 i) n)))
✓27.2b
(*.f64 n 100)
23.6b
(/.f64 (*.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100) i)
33.6b
(*.f64 (/.f64 n i) (*.f64 100 i))
38.6b
(*.f64 100 (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/3 n))))))) (/.f64 i n)))
✓62.1b
(*.f64 100 (*.f64 i (*.f64 1/3 (/.f64 i n))))
62.1b
(*.f64 100 (*.f64 i (/.f64 1 (/.f64 n (*.f64 1/3 i)))))
14.1b
(*.f64 100 (/.f64 1 (*.f64 (/.f64 -1 n) (/.f64 1 (/.f64 (neg.f64 (expm1.f64 i)) i)))))
31.5b
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n))))
27.3b
(/.f64 100 (/.f64 1 n))
41.6b
(*.f64 100 (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (/.f64 1/3 (*.f64 n n))))))) (/.f64 i n)))
25.9b
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
18.6b
(*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12))))))
31.5b
(*.f64 100 (*.f64 (/.f64 1 i) (*.f64 n i)))
31.9b
(/.f64 (*.f64 100 i) (/.f64 i n))
27.5b
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i 50/3) 50))))
58.1b
(*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
27.6b
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
62.1b
(*.f64 100 (/.f64 (*.f64 1/3 i) (/.f64 n i)))
27.3b
(*.f64 100 (/.f64 1 (/.f64 1 n)))
27.5b
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
60.9b
(*.f64 (fma.f64 i (fma.f64 i 25/6 50/3) 50) (*.f64 i n))
27.5b
(*.f64 n (+.f64 100 (*.f64 i 50)))
31.8b
(*.f64 100 (/.f64 i (/.f64 i n)))
27.5b
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
✓16.5b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
60.0b
(*.f64 (fma.f64 i 25/6 50/3) (*.f64 n (*.f64 i i)))
✓47.7b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
62.1b
(*.f64 i (/.f64 (*.f64 100/3 i) n))
18.7b
(*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))))
18.7b
(/.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i)
Compiler

Compiled 510 to 367 computations (28% saved)

regimes381.0ms (1.5%)

Counts
67 → 3
Calls
Call 1
Inputs
(*.f64 100 0)
(*.f64 i -50)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(*.f64 100 (/.f64 1 (/.f64 1 n)))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 (/.f64 (*.f64 i 100) i) (/.f64 1 n))
(*.f64 100 (*.f64 i (/.f64 (*.f64 1/3 i) n)))
(*.f64 100 (/.f64 (*.f64 1/3 i) (/.f64 n i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (*.f64 i (*.f64 1/3 (/.f64 i n))))
(*.f64 100 (*.f64 (/.f64 1 i) (*.f64 n i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 100 (*.f64 i (/.f64 1 (/.f64 n (*.f64 1/3 i)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i 50/3) 50))))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 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 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12))))))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (/.f64 1/3 (*.f64 n n))))))) (/.f64 i n)))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (*.f64 i (+.f64 1/6 (*.f64 i 1/24))))))) (/.f64 1 n))))
(*.f64 100 (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/3 n))))))) (/.f64 i 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 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 100 (/.f64 (+.f64 i (*.f64 i (*.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 i n)))
(*.f64 100 (/.f64 (-.f64 (+.f64 i (+.f64 1 (*.f64 i (*.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)))))) 1) (/.f64 i n)))
(*.f64 25/6 (*.f64 n (pow.f64 i 3)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i)
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(*.f64 (fma.f64 i 25/6 50/3) (*.f64 n (*.f64 i i)))
(/.f64 (/.f64 (*.f64 (expm1.f64 i) 100) i) (/.f64 1 n))
(*.f64 (/.f64 n i) (-.f64 (*.f64 100 (exp.f64 i)) 100))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(*.f64 100 (/.f64 1 (/.f64 (/.f64 1 n) (/.f64 (expm1.f64 i) i))))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 (expm1.f64 i) (/.f64 1 n))))
(*.f64 100 (/.f64 1 (*.f64 (/.f64 -1 n) (/.f64 1 (/.f64 (neg.f64 (expm1.f64 i)) i)))))
(*.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 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
(*.f64 (fma.f64 i (fma.f64 i 25/6 50/3) 50) (*.f64 i n))
(/.f64 (*.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100) i)
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n)))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
(/.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) i)
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n))
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
(+.f64 0 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)))
Outputs
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
(*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))))
Calls

6 calls:

135.0ms
i
102.0ms
n
36.0ms
(/.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)))
21.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Results
ErrorSegmentsBranch
4.8b4i
5.7b3n
0.4b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
0.4b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
0.4b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
0.4b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 897 to 544 computations (39.4% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.3667797635470091
NaN
0.0ms
-0.0
3.6008203719602235e-157
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes329.0ms (1.3%)

Counts
62 → 3
Calls
Call 1
Inputs
(*.f64 100 0)
(*.f64 i -50)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(*.f64 100 (/.f64 1 (/.f64 1 n)))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 (/.f64 (*.f64 i 100) i) (/.f64 1 n))
(*.f64 100 (*.f64 i (/.f64 (*.f64 1/3 i) n)))
(*.f64 100 (/.f64 (*.f64 1/3 i) (/.f64 n i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (*.f64 i (*.f64 1/3 (/.f64 i n))))
(*.f64 100 (*.f64 (/.f64 1 i) (*.f64 n i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 100 (*.f64 i (/.f64 1 (/.f64 n (*.f64 1/3 i)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i 50/3) 50))))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 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 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12))))))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (/.f64 1/3 (*.f64 n n))))))) (/.f64 i n)))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (*.f64 i (+.f64 1/6 (*.f64 i 1/24))))))) (/.f64 1 n))))
(*.f64 100 (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/3 n))))))) (/.f64 i 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 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 100 (/.f64 (+.f64 i (*.f64 i (*.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 i n)))
(*.f64 100 (/.f64 (-.f64 (+.f64 i (+.f64 1 (*.f64 i (*.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)))))) 1) (/.f64 i n)))
(*.f64 25/6 (*.f64 n (pow.f64 i 3)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i)
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(*.f64 (fma.f64 i 25/6 50/3) (*.f64 n (*.f64 i i)))
(/.f64 (/.f64 (*.f64 (expm1.f64 i) 100) i) (/.f64 1 n))
(*.f64 (/.f64 n i) (-.f64 (*.f64 100 (exp.f64 i)) 100))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(*.f64 100 (/.f64 1 (/.f64 (/.f64 1 n) (/.f64 (expm1.f64 i) i))))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 (expm1.f64 i) (/.f64 1 n))))
(*.f64 100 (/.f64 1 (*.f64 (/.f64 -1 n) (/.f64 1 (/.f64 (neg.f64 (expm1.f64 i)) i)))))
(*.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 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
(*.f64 (fma.f64 i (fma.f64 i 25/6 50/3) 50) (*.f64 i n))
(/.f64 (*.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100) i)
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n)))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
Outputs
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
(*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))))
Calls

6 calls:

135.0ms
i
103.0ms
n
18.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
17.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
17.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Results
ErrorSegmentsBranch
5.1b4i
5.9b3n
1.4b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
1.4b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
1.4b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
1.4b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 827 to 514 computations (37.8% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.3667797635470091
NaN
0.0ms
-0.0
3.6008203719602235e-157
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes602.0ms (2.3%)

Counts
60 → 5
Calls
Call 1
Inputs
(*.f64 100 0)
(*.f64 i -50)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(*.f64 100 (/.f64 1 (/.f64 1 n)))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 (/.f64 (*.f64 i 100) i) (/.f64 1 n))
(*.f64 100 (*.f64 i (/.f64 (*.f64 1/3 i) n)))
(*.f64 100 (/.f64 (*.f64 1/3 i) (/.f64 n i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (*.f64 i (*.f64 1/3 (/.f64 i n))))
(*.f64 100 (*.f64 (/.f64 1 i) (*.f64 n i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 100 (*.f64 i (/.f64 1 (/.f64 n (*.f64 1/3 i)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i 50/3) 50))))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 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 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12))))))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (/.f64 1/3 (*.f64 n n))))))) (/.f64 i n)))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (*.f64 i (+.f64 1/6 (*.f64 i 1/24))))))) (/.f64 1 n))))
(*.f64 100 (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/3 n))))))) (/.f64 i 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 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 100 (/.f64 (+.f64 i (*.f64 i (*.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 i n)))
(*.f64 100 (/.f64 (-.f64 (+.f64 i (+.f64 1 (*.f64 i (*.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)))))) 1) (/.f64 i n)))
(*.f64 25/6 (*.f64 n (pow.f64 i 3)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i)
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(*.f64 (fma.f64 i 25/6 50/3) (*.f64 n (*.f64 i i)))
(/.f64 (/.f64 (*.f64 (expm1.f64 i) 100) i) (/.f64 1 n))
(*.f64 (/.f64 n i) (-.f64 (*.f64 100 (exp.f64 i)) 100))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(*.f64 100 (/.f64 1 (/.f64 (/.f64 1 n) (/.f64 (expm1.f64 i) i))))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 (expm1.f64 i) (/.f64 1 n))))
(*.f64 100 (/.f64 1 (*.f64 (/.f64 -1 n) (/.f64 1 (/.f64 (neg.f64 (expm1.f64 i)) i)))))
(*.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 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
(*.f64 (fma.f64 i (fma.f64 i 25/6 50/3) 50) (*.f64 i n))
(/.f64 (*.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100) i)
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n)))
Outputs
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n)))
(*.f64 100 0)
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
Calls

6 calls:

261.0ms
n
226.0ms
i
30.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
22.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
19.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Results
ErrorSegmentsBranch
4.9b5i
6.9b6n
7.3b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
7.3b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
7.3b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
7.3b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 801 to 504 computations (37.1% saved)

bsearch1.8s (7.1%)

Algorithm
4×binary-search
Steps
TimeLeftRight
59.0ms
5.237071235880582e+42
5.317462367149552e+93
120.0ms
0.0008909796083978589
0.0033818942563876332
515.0ms
9.869502499708597e-74
6.944350873115018e-71
1.1s
-1.1446227853527785e-108
-2.8507376780635943e-114
Compiler

Compiled 862 to 651 computations (24.5% saved)

regimes574.0ms (2.2%)

Counts
59 → 5
Calls
Call 1
Inputs
(*.f64 100 0)
(*.f64 i -50)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(*.f64 100 (/.f64 1 (/.f64 1 n)))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 (/.f64 (*.f64 i 100) i) (/.f64 1 n))
(*.f64 100 (*.f64 i (/.f64 (*.f64 1/3 i) n)))
(*.f64 100 (/.f64 (*.f64 1/3 i) (/.f64 n i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (*.f64 i (*.f64 1/3 (/.f64 i n))))
(*.f64 100 (*.f64 (/.f64 1 i) (*.f64 n i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 100 (*.f64 i (/.f64 1 (/.f64 n (*.f64 1/3 i)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i 50/3) 50))))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 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 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12))))))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (/.f64 1/3 (*.f64 n n))))))) (/.f64 i n)))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (*.f64 i (+.f64 1/6 (*.f64 i 1/24))))))) (/.f64 1 n))))
(*.f64 100 (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/3 n))))))) (/.f64 i 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 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 100 (/.f64 (+.f64 i (*.f64 i (*.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 i n)))
(*.f64 100 (/.f64 (-.f64 (+.f64 i (+.f64 1 (*.f64 i (*.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)))))) 1) (/.f64 i n)))
(*.f64 25/6 (*.f64 n (pow.f64 i 3)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i)
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(*.f64 (fma.f64 i 25/6 50/3) (*.f64 n (*.f64 i i)))
(/.f64 (/.f64 (*.f64 (expm1.f64 i) 100) i) (/.f64 1 n))
(*.f64 (/.f64 n i) (-.f64 (*.f64 100 (exp.f64 i)) 100))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(*.f64 100 (/.f64 1 (/.f64 (/.f64 1 n) (/.f64 (expm1.f64 i) i))))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 (expm1.f64 i) (/.f64 1 n))))
(*.f64 100 (/.f64 1 (*.f64 (/.f64 -1 n) (/.f64 1 (/.f64 (neg.f64 (expm1.f64 i)) i)))))
(*.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 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
(*.f64 (fma.f64 i (fma.f64 i 25/6 50/3) 50) (*.f64 i n))
(/.f64 (*.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100) i)
Outputs
(/.f64 (*.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100) i)
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 (*.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100) i)
(*.f64 100 0)
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
Calls

6 calls:

268.0ms
n
206.0ms
i
19.0ms
(/.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)))
19.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Results
ErrorSegmentsBranch
5.4b5i
6.9b6n
7.8b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
7.8b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
7.8b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
7.8b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 788 to 500 computations (36.5% saved)

bsearch1.3s (5.2%)

Algorithm
4×binary-search
Steps
TimeLeftRight
84.0ms
5.237071235880582e+42
5.317462367149552e+93
186.0ms
0.0008909796083978589
0.0033818942563876332
394.0ms
9.869502499708597e-74
6.944350873115018e-71
667.0ms
-1.1446227853527785e-108
-2.8507376780635943e-114
Compiler

Compiled 862 to 651 computations (24.5% saved)

regimes351.0ms (1.4%)

Counts
58 → 3
Calls
Call 1
Inputs
(*.f64 100 0)
(*.f64 i -50)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(*.f64 100 (/.f64 1 (/.f64 1 n)))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 (/.f64 (*.f64 i 100) i) (/.f64 1 n))
(*.f64 100 (*.f64 i (/.f64 (*.f64 1/3 i) n)))
(*.f64 100 (/.f64 (*.f64 1/3 i) (/.f64 n i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (*.f64 i (*.f64 1/3 (/.f64 i n))))
(*.f64 100 (*.f64 (/.f64 1 i) (*.f64 n i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 100 (*.f64 i (/.f64 1 (/.f64 n (*.f64 1/3 i)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i 50/3) 50))))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 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 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12))))))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (/.f64 1/3 (*.f64 n n))))))) (/.f64 i n)))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (*.f64 i (+.f64 1/6 (*.f64 i 1/24))))))) (/.f64 1 n))))
(*.f64 100 (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/3 n))))))) (/.f64 i 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 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 100 (/.f64 (+.f64 i (*.f64 i (*.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 i n)))
(*.f64 100 (/.f64 (-.f64 (+.f64 i (+.f64 1 (*.f64 i (*.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)))))) 1) (/.f64 i n)))
(*.f64 25/6 (*.f64 n (pow.f64 i 3)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i)
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(*.f64 (fma.f64 i 25/6 50/3) (*.f64 n (*.f64 i i)))
(/.f64 (/.f64 (*.f64 (expm1.f64 i) 100) i) (/.f64 1 n))
(*.f64 (/.f64 n i) (-.f64 (*.f64 100 (exp.f64 i)) 100))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(*.f64 100 (/.f64 1 (/.f64 (/.f64 1 n) (/.f64 (expm1.f64 i) i))))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 (expm1.f64 i) (/.f64 1 n))))
(*.f64 100 (/.f64 1 (*.f64 (/.f64 -1 n) (/.f64 1 (/.f64 (neg.f64 (expm1.f64 i)) i)))))
(*.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 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
(*.f64 (fma.f64 i (fma.f64 i 25/6 50/3) 50) (*.f64 i n))
Outputs
(*.f64 100 (/.f64 1 (/.f64 (/.f64 1 n) (/.f64 (expm1.f64 i) i))))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
(*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))))
Calls

6 calls:

123.0ms
n
82.0ms
i
28.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
27.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
27.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Results
ErrorSegmentsBranch
9.7b2i
10.2b3n
8.5b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
8.5b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
8.5b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
8.5b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 775 to 493 computations (36.4% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.3667797635470091
NaN
0.0ms
-0.0
3.6008203719602235e-157
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes224.0ms (0.9%)

Counts
54 → 3
Calls
Call 1
Inputs
(*.f64 100 0)
(*.f64 i -50)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(*.f64 100 (/.f64 1 (/.f64 1 n)))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 (/.f64 (*.f64 i 100) i) (/.f64 1 n))
(*.f64 100 (*.f64 i (/.f64 (*.f64 1/3 i) n)))
(*.f64 100 (/.f64 (*.f64 1/3 i) (/.f64 n i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (*.f64 i (*.f64 1/3 (/.f64 i n))))
(*.f64 100 (*.f64 (/.f64 1 i) (*.f64 n i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 100 (*.f64 i (/.f64 1 (/.f64 n (*.f64 1/3 i)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i 50/3) 50))))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 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 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12))))))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (/.f64 1/3 (*.f64 n n))))))) (/.f64 i n)))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (*.f64 i (+.f64 1/6 (*.f64 i 1/24))))))) (/.f64 1 n))))
(*.f64 100 (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/3 n))))))) (/.f64 i 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 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 100 (/.f64 (+.f64 i (*.f64 i (*.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 i n)))
(*.f64 100 (/.f64 (-.f64 (+.f64 i (+.f64 1 (*.f64 i (*.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)))))) 1) (/.f64 i n)))
(*.f64 25/6 (*.f64 n (pow.f64 i 3)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i)
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 i)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(*.f64 (fma.f64 i 25/6 50/3) (*.f64 n (*.f64 i i)))
(/.f64 (/.f64 (*.f64 (expm1.f64 i) 100) i) (/.f64 1 n))
(*.f64 (/.f64 n i) (-.f64 (*.f64 100 (exp.f64 i)) 100))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(*.f64 100 (/.f64 1 (/.f64 (/.f64 1 n) (/.f64 (expm1.f64 i) i))))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 (expm1.f64 i) (/.f64 1 n))))
(*.f64 100 (/.f64 1 (*.f64 (/.f64 -1 n) (/.f64 1 (/.f64 (neg.f64 (expm1.f64 i)) i)))))
Outputs
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12))))))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
Calls

2 calls:

116.0ms
n
78.0ms
i
Results
ErrorSegmentsBranch
10.7b2i
10.2b3n
Compiler

Compiled 649 to 419 computations (35.4% saved)

bsearch264.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
51.0ms
0.002202460143231586
0.0037929487590079494
212.0ms
-8.979031228312809e-39
-2.631341293308728e-39
Compiler

Compiled 301 to 231 computations (23.3% saved)

regimes142.0ms (0.6%)

Counts
43 → 5
Calls
Call 1
Inputs
(*.f64 100 0)
(*.f64 i -50)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(*.f64 100 (/.f64 1 (/.f64 1 n)))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 (/.f64 (*.f64 i 100) i) (/.f64 1 n))
(*.f64 100 (*.f64 i (/.f64 (*.f64 1/3 i) n)))
(*.f64 100 (/.f64 (*.f64 1/3 i) (/.f64 n i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (*.f64 i (*.f64 1/3 (/.f64 i n))))
(*.f64 100 (*.f64 (/.f64 1 i) (*.f64 n i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 100 (*.f64 i (/.f64 1 (/.f64 n (*.f64 1/3 i)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i 50/3) 50))))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 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 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12))))))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (/.f64 1/3 (*.f64 n n))))))) (/.f64 i n)))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (*.f64 i (+.f64 1/6 (*.f64 i 1/24))))))) (/.f64 1 n))))
(*.f64 100 (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/3 n))))))) (/.f64 i 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 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 100 (/.f64 (+.f64 i (*.f64 i (*.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 i n)))
(*.f64 100 (/.f64 (-.f64 (+.f64 i (+.f64 1 (*.f64 i (*.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)))))) 1) (/.f64 i n)))
(*.f64 25/6 (*.f64 n (pow.f64 i 3)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i)
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 i)))
Outputs
(/.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i)
(*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12))))))
(*.f64 100 0)
(*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12))))))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i)
Calls

2 calls:

91.0ms
n
38.0ms
i
Results
ErrorSegmentsBranch
10.9b2i
8.7b5n
Compiler

Compiled 538 to 356 computations (33.8% saved)

bsearch507.0ms (2%)

Algorithm
4×binary-search
Steps
TimeLeftRight
85.0ms
654809886233360600.0
9.893437749696378e+20
45.0ms
1.952230579455046e-210
1.1590120435303709e-206
74.0ms
-1.2858994453538378e-249
-5.024725495901529e-256
302.0ms
-4.0766793277362836e-20
-1.2132045627611988e-22
Compiler

Compiled 960 to 773 computations (19.5% saved)

regimes121.0ms (0.5%)

Counts
41 → 2
Calls
Call 1
Inputs
(*.f64 100 0)
(*.f64 i -50)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(*.f64 100 (/.f64 1 (/.f64 1 n)))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 (/.f64 (*.f64 i 100) i) (/.f64 1 n))
(*.f64 100 (*.f64 i (/.f64 (*.f64 1/3 i) n)))
(*.f64 100 (/.f64 (*.f64 1/3 i) (/.f64 n i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (*.f64 i (*.f64 1/3 (/.f64 i n))))
(*.f64 100 (*.f64 (/.f64 1 i) (*.f64 n i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 100 (*.f64 i (/.f64 1 (/.f64 n (*.f64 1/3 i)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i 50/3) 50))))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 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 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12))))))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (/.f64 1/3 (*.f64 n n))))))) (/.f64 i n)))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (*.f64 i (+.f64 1/6 (*.f64 i 1/24))))))) (/.f64 1 n))))
(*.f64 100 (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/3 n))))))) (/.f64 i 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 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 100 (/.f64 (+.f64 i (*.f64 i (*.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 i n)))
(*.f64 100 (/.f64 (-.f64 (+.f64 i (+.f64 1 (*.f64 i (*.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)))))) 1) (/.f64 i n)))
(*.f64 25/6 (*.f64 n (pow.f64 i 3)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
Outputs
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12))))))
Calls

2 calls:

57.0ms
n
49.0ms
i
Results
ErrorSegmentsBranch
11.0b2i
15.7b3n
Compiler

Compiled 522 to 349 computations (33.1% saved)

bsearch35.0ms (0.1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
35.0ms
-1.1536894458636475e-24
-1.015293606446428e-24
Compiler

Compiled 53 to 39 computations (26.4% saved)

regimes74.0ms (0.3%)

Counts
40 → 2
Calls
Call 1
Inputs
(*.f64 100 0)
(*.f64 i -50)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(*.f64 100 (/.f64 1 (/.f64 1 n)))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 (/.f64 (*.f64 i 100) i) (/.f64 1 n))
(*.f64 100 (*.f64 i (/.f64 (*.f64 1/3 i) n)))
(*.f64 100 (/.f64 (*.f64 1/3 i) (/.f64 n i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (*.f64 i (*.f64 1/3 (/.f64 i n))))
(*.f64 100 (*.f64 (/.f64 1 i) (*.f64 n i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 100 (*.f64 i (/.f64 1 (/.f64 n (*.f64 1/3 i)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i 50/3) 50))))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 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 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12))))))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (/.f64 1/3 (*.f64 n n))))))) (/.f64 i n)))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (*.f64 i (+.f64 1/6 (*.f64 i 1/24))))))) (/.f64 1 n))))
(*.f64 100 (/.f64 (+.f64 i (*.f64 i (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/3 n))))))) (/.f64 i 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 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 100 (/.f64 (+.f64 i (*.f64 i (*.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 i n)))
(*.f64 100 (/.f64 (-.f64 (+.f64 i (+.f64 1 (*.f64 i (*.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)))))) 1) (/.f64 i n)))
(*.f64 25/6 (*.f64 n (pow.f64 i 3)))
Outputs
(*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))))
(*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12))))))
Calls

2 calls:

37.0ms
n
22.0ms
i
Results
ErrorSegmentsBranch
18.6b1i
17.2b2n
Compiler

Compiled 514 to 345 computations (32.9% saved)

bsearch214.0ms (0.8%)

Algorithm
1×binary-search
Steps
TimeLeftRight
213.0ms
-8.979031228312809e-39
-2.631341293308728e-39
Compiler

Compiled 202 to 160 computations (20.8% saved)

regimes75.0ms (0.3%)

Counts
30 → 3
Calls
Call 1
Inputs
(*.f64 100 0)
(*.f64 i -50)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(*.f64 100 (/.f64 1 (/.f64 1 n)))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 (/.f64 (*.f64 i 100) i) (/.f64 1 n))
(*.f64 100 (*.f64 i (/.f64 (*.f64 1/3 i) n)))
(*.f64 100 (/.f64 (*.f64 1/3 i) (/.f64 n i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (*.f64 i (*.f64 1/3 (/.f64 i n))))
(*.f64 100 (*.f64 (/.f64 1 i) (*.f64 n i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 100 (*.f64 i (/.f64 1 (/.f64 n (*.f64 1/3 i)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i 50/3) 50))))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 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 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
Outputs
(*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))))
(*.f64 100 0)
(*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))))
Calls

2 calls:

48.0ms
n
14.0ms
i
Results
ErrorSegmentsBranch
18.7b1i
16.7b3n
Compiler

Compiled 276 to 188 computations (31.9% saved)

bsearch117.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
42.0ms
1.952230579455046e-210
1.1590120435303709e-206
74.0ms
-1.2858994453538378e-249
-5.024725495901529e-256
Compiler

Compiled 396 to 338 computations (14.6% saved)

regimes90.0ms (0.3%)

Counts
25 → 3
Calls
Call 1
Inputs
(*.f64 100 0)
(*.f64 i -50)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(*.f64 100 (/.f64 1 (/.f64 1 n)))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 (/.f64 (*.f64 i 100) i) (/.f64 1 n))
(*.f64 100 (*.f64 i (/.f64 (*.f64 1/3 i) n)))
(*.f64 100 (/.f64 (*.f64 1/3 i) (/.f64 n i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (*.f64 i (*.f64 1/3 (/.f64 i n))))
(*.f64 100 (*.f64 (/.f64 1 i) (*.f64 n i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 100 (*.f64 i (/.f64 1 (/.f64 n (*.f64 1/3 i)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i 50/3) 50))))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 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 100 0)
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i 50/3) 50))))
(*.f64 100 0)
Calls

2 calls:

51.0ms
n
32.0ms
i
Results
ErrorSegmentsBranch
18.6b3i
18.7b5n
Compiler

Compiled 205 to 136 computations (33.7% saved)

bsearch233.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
108.0ms
0.0008909796083978589
0.0033818942563876332
125.0ms
-4.5979898718772244e+30
-1.0122659670606155e+30
Compiler

Compiled 242 to 202 computations (16.5% saved)

regimes119.0ms (0.5%)

Counts
21 → 3
Calls
Call 1
Inputs
(*.f64 100 0)
(*.f64 i -50)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(*.f64 100 (/.f64 1 (/.f64 1 n)))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 (/.f64 (*.f64 i 100) i) (/.f64 1 n))
(*.f64 100 (*.f64 i (/.f64 (*.f64 1/3 i) n)))
(*.f64 100 (/.f64 (*.f64 1/3 i) (/.f64 n i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (*.f64 i (*.f64 1/3 (/.f64 i n))))
(*.f64 100 (*.f64 (/.f64 1 i) (*.f64 n i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 100 (*.f64 i (/.f64 1 (/.f64 n (*.f64 1/3 i)))))
Outputs
(*.f64 100 0)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 0)
Calls

2 calls:

65.0ms
n
48.0ms
i
Results
ErrorSegmentsBranch
18.7b3i
18.8b5n
Compiler

Compiled 161 to 105 computations (34.8% saved)

bsearch392.0ms (1.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
107.0ms
0.0008909796083978589
0.0033818942563876332
284.0ms
-227414.80828395026
-1.7218175292648024
Compiler

Compiled 274 to 225 computations (17.9% saved)

regimes57.0ms (0.2%)

Counts
15 → 3
Calls
Call 1
Inputs
(*.f64 100 0)
(*.f64 i -50)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(*.f64 100 (/.f64 1 (/.f64 1 n)))
(*.f64 i (/.f64 (*.f64 100/3 i) n))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 (/.f64 (*.f64 i 100) i) (/.f64 1 n))
(*.f64 100 (*.f64 i (/.f64 (*.f64 1/3 i) n)))
(*.f64 100 (/.f64 (*.f64 1/3 i) (/.f64 n i)))
Outputs
(*.f64 100 0)
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 100 0)
Calls

2 calls:

33.0ms
n
20.0ms
i
Results
ErrorSegmentsBranch
18.7b3i
18.8b5n
Compiler

Compiled 105 to 70 computations (33.3% saved)

bsearch303.0ms (1.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
108.0ms
0.0008909796083978589
0.0033818942563876332
196.0ms
-227414.80828395026
-1.7218175292648024
Compiler

Compiled 246 to 211 computations (14.2% saved)

regimes26.0ms (0.1%)

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

2 calls:

13.0ms
i
12.0ms
n
Results
ErrorSegmentsBranch
19.1b3i
21.5b3n
Compiler

Compiled 36 to 27 computations (25% saved)

bsearch253.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
108.0ms
0.0008909796083978589
0.0033818942563876332
145.0ms
-1.0176306110962126e+33
-4.5979898718772244e+30
Compiler

Compiled 166 to 147 computations (11.4% saved)

regimes7.0ms (0%)

Accuracy

Total -11.0b remaining (-21.3%)

Threshold costs -11.0b (-21.3%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 100 0)
(*.f64 i -50)
Outputs
(*.f64 100 0)
Calls

2 calls:

3.0ms
n
3.0ms
i
Results
ErrorSegmentsBranch
51.5b1i
51.5b1n
Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify25.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
27×*-commutative_binary64
10×+-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0133923
1173923
2174923
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 0) (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 2) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))))))
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 0) (*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 2) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))))))
(if (<=.f64 i -5923061480360627/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n))) (if (<=.f64 i 2144706457017205/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 n (+.f64 100 (*.f64 i 50))) (if (<=.f64 i 4150517416584649/4611686018427387904) (/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n))) (if (<=.f64 i 5199999999999999993977765793387376733967555272374268714777254373266679348111173761068624248832) (*.f64 100 0) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))))))
(if (<=.f64 i -5923061480360627/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (/.f64 (*.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100) i) (if (<=.f64 i 2144706457017205/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 n (+.f64 100 (*.f64 i 50))) (if (<=.f64 i 4150517416584649/4611686018427387904) (/.f64 (*.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100) i) (if (<=.f64 i 5199999999999999993977765793387376733967555272374268714777254373266679348111173761068624248832) (*.f64 100 0) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))))))
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 0) (*.f64 100 (/.f64 1 (/.f64 (/.f64 1 n) (/.f64 (expm1.f64 i) i)))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 2) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))))))
(if (<=.f64 n -6742980379809911/766247770432944429179173513575154591809369561091801088) (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) (if (<=.f64 n 662929865148937/288230376151711744) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12)))))) (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))))
(if (<=.f64 n -6646139978924579/166153499473114484112975882535043072) (/.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i) (if (<=.f64 n -5038209258419659/4030567406735727282351225165683873035574701889313671280883489296162978382543372035785043761349923613698382530160958318167742519832631573007587730243400112738864034149162331269597866193210040596412843573823632724030670381872189039145190406026970187961498554846937088) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12)))))) (if (<=.f64 n 740298315191607/370149157595803483760113594165444983305188659934209969315302857882035005733103009779662706572686786162969525026591079999487776766804412458287307566414161000062097305302822567355696031005763636785808324621609799564097606385664) (*.f64 100 0) (if (<=.f64 n 980000000000000000000) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12)))))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i)))))
(if (<=.f64 i -5988969657808517/5444517870735015415413993718908291383296) (*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n))) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12)))))))
(if (<=.f64 n -1034434490084475/383123885216472214589586756787577295904684780545900544) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12)))))))
(if (<=.f64 n -5038209258419659/4030567406735727282351225165683873035574701889313671280883489296162978382543372035785043761349923613698382530160958318167742519832631573007587730243400112738864034149162331269597866193210040596412843573823632724030670381872189039145190406026970187961498554846937088) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))) (if (<=.f64 n 740298315191607/370149157595803483760113594165444983305188659934209969315302857882035005733103009779662706572686786162969525026591079999487776766804412458287307566414161000062097305302822567355696031005763636785808324621609799564097606385664) (*.f64 100 0) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))))))
(if (<=.f64 i -4550000000000000217138782535680) (*.f64 100 0) (if (<=.f64 i 4150517416584649/4611686018427387904) (*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i 50/3) 50)))) (*.f64 100 0)))
(if (<=.f64 i -2) (*.f64 100 0) (if (<=.f64 i 4150517416584649/4611686018427387904) (+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) (*.f64 100 0)))
(if (<=.f64 i -2) (*.f64 100 0) (if (<=.f64 i 4150517416584649/4611686018427387904) (*.f64 n (+.f64 100 (*.f64 i 50))) (*.f64 100 0)))
(if (<=.f64 i -999999999999999945575230987042816) (*.f64 100 0) (if (<=.f64 i 4150517416584649/4611686018427387904) (*.f64 n 100) (*.f64 100 0)))
(*.f64 100 0)
Outputs
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 0) (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 2) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))))))
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 0) (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n)) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 2) (*.f64 (/.f64 n i) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100)) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) -1/2))))))
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 0) (*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 2) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))))))
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 0) (*.f64 100 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 2) (*.f64 (/.f64 n i) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100)) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) -1/2))))))
(if (<=.f64 i -5923061480360627/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n))) (if (<=.f64 i 2144706457017205/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 n (+.f64 100 (*.f64 i 50))) (if (<=.f64 i 4150517416584649/4611686018427387904) (/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n))) (if (<=.f64 i 5199999999999999993977765793387376733967555272374268714777254373266679348111173761068624248832) (*.f64 100 0) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))))))
(if (<=.f64 i -5923061480360627/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (/.f64 100 (/.f64 i (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))) (if (<=.f64 i 2144706457017205/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 n (+.f64 100 (*.f64 i 50))) (if (<=.f64 i 4150517416584649/4611686018427387904) (/.f64 100 (/.f64 i (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))) (if (<=.f64 i 5199999999999999993977765793387376733967555272374268714777254373266679348111173761068624248832) 0 (*.f64 (/.f64 n i) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100))))))
(if (<=.f64 i -5923061480360627/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (/.f64 (*.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100) i) (if (<=.f64 i 2144706457017205/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 n (+.f64 100 (*.f64 i 50))) (if (<=.f64 i 4150517416584649/4611686018427387904) (/.f64 (*.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100) i) (if (<=.f64 i 5199999999999999993977765793387376733967555272374268714777254373266679348111173761068624248832) (*.f64 100 0) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))))))
(if (<=.f64 i -5923061480360627/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (/.f64 (*.f64 100 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) i) (if (<=.f64 i 2144706457017205/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 n (+.f64 100 (*.f64 i 50))) (if (<=.f64 i 4150517416584649/4611686018427387904) (/.f64 (*.f64 100 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) i) (if (<=.f64 i 5199999999999999993977765793387376733967555272374268714777254373266679348111173761068624248832) 0 (*.f64 (/.f64 n i) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100))))))
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 0) (*.f64 100 (/.f64 1 (/.f64 (/.f64 1 n) (/.f64 (expm1.f64 i) i)))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 2) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))))))
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 0) (*.f64 100 (/.f64 1 (/.f64 (/.f64 1 n) (/.f64 (expm1.f64 i) i)))) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 2) (*.f64 (/.f64 n i) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100)) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) -1/2))))))
(if (<=.f64 n -6742980379809911/766247770432944429179173513575154591809369561091801088) (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) (if (<=.f64 n 662929865148937/288230376151711744) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12)))))) (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))))
(if (<=.f64 n -6742980379809911/766247770432944429179173513575154591809369561091801088) (*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) (if (<=.f64 n 662929865148937/288230376151711744) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12)))))) (*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))))
(if (<=.f64 n -6646139978924579/166153499473114484112975882535043072) (/.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i) (if (<=.f64 n -5038209258419659/4030567406735727282351225165683873035574701889313671280883489296162978382543372035785043761349923613698382530160958318167742519832631573007587730243400112738864034149162331269597866193210040596412843573823632724030670381872189039145190406026970187961498554846937088) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12)))))) (if (<=.f64 n 740298315191607/370149157595803483760113594165444983305188659934209969315302857882035005733103009779662706572686786162969525026591079999487776766804412458287307566414161000062097305302822567355696031005763636785808324621609799564097606385664) (*.f64 100 0) (if (<=.f64 n 980000000000000000000) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12)))))) (/.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i)))))
(if (<=.f64 n -6646139978924579/166153499473114484112975882535043072) (/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) (if (<=.f64 n -5038209258419659/4030567406735727282351225165683873035574701889313671280883489296162978382543372035785043761349923613698382530160958318167742519832631573007587730243400112738864034149162331269597866193210040596412843573823632724030670381872189039145190406026970187961498554846937088) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12)))))) (if (<=.f64 n 740298315191607/370149157595803483760113594165444983305188659934209969315302857882035005733103009779662706572686786162969525026591079999487776766804412458287307566414161000062097305302822567355696031005763636785808324621609799564097606385664) 0 (if (<=.f64 n 980000000000000000000) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12)))))) (/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i)))))
(if (<=.f64 i -5988969657808517/5444517870735015415413993718908291383296) (*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n))) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12)))))))
(if (<=.f64 n -1034434490084475/383123885216472214589586756787577295904684780545900544) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12)))))))
(if (<=.f64 n -1034434490084475/383123885216472214589586756787577295904684780545900544) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) -1/2)))) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12)))))))
(if (<=.f64 n -5038209258419659/4030567406735727282351225165683873035574701889313671280883489296162978382543372035785043761349923613698382530160958318167742519832631573007587730243400112738864034149162331269597866193210040596412843573823632724030670381872189039145190406026970187961498554846937088) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))) (if (<=.f64 n 740298315191607/370149157595803483760113594165444983305188659934209969315302857882035005733103009779662706572686786162969525026591079999487776766804412458287307566414161000062097305302822567355696031005763636785808324621609799564097606385664) (*.f64 100 0) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))))))
(if (<=.f64 n -5038209258419659/4030567406735727282351225165683873035574701889313671280883489296162978382543372035785043761349923613698382530160958318167742519832631573007587730243400112738864034149162331269597866193210040596412843573823632724030670381872189039145190406026970187961498554846937088) (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) -1/2)))) (if (<=.f64 n 740298315191607/370149157595803483760113594165444983305188659934209969315302857882035005733103009779662706572686786162969525026591079999487776766804412458287307566414161000062097305302822567355696031005763636785808324621609799564097606385664) 0 (*.f64 100 (/.f64 1 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) -1/2))))))
(if (<=.f64 i -4550000000000000217138782535680) (*.f64 100 0) (if (<=.f64 i 4150517416584649/4611686018427387904) (*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i 50/3) 50)))) (*.f64 100 0)))
(if (<=.f64 i -4550000000000000217138782535680) 0 (if (<=.f64 i 4150517416584649/4611686018427387904) (*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) 0))
(if (<=.f64 i -2) (*.f64 100 0) (if (<=.f64 i 4150517416584649/4611686018427387904) (+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) (*.f64 100 0)))
(if (<=.f64 i -2) 0 (if (<=.f64 i 4150517416584649/4611686018427387904) (+.f64 (*.f64 50 (*.f64 i n)) (*.f64 n 100)) 0))
(if (<=.f64 i -2) (*.f64 100 0) (if (<=.f64 i 4150517416584649/4611686018427387904) (*.f64 n (+.f64 100 (*.f64 i 50))) (*.f64 100 0)))
(if (<=.f64 i -2) 0 (if (<=.f64 i 4150517416584649/4611686018427387904) (*.f64 n (+.f64 100 (*.f64 i 50))) 0))
(if (<=.f64 i -999999999999999945575230987042816) (*.f64 100 0) (if (<=.f64 i 4150517416584649/4611686018427387904) (*.f64 n 100) (*.f64 100 0)))
(if (<=.f64 i -999999999999999945575230987042816) 0 (if (<=.f64 i 4150517416584649/4611686018427387904) (*.f64 n 100) 0))
(*.f64 100 0)
0
Compiler

Compiled 655 to 434 computations (33.7% saved)

soundness146.0ms (0.6%)

Algorithm
2×egg-herbie
Rules
779×associate-/l*_binary64
701×fma-def_binary64
588×associate-/r*_binary64
561×associate-/r/_binary64
483×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01122
12922
26820
317220
453120
5239320
6726320
03655519
112215121
244624705
Stop Event
1×node limit
1×node limit
Compiler

Compiled 257 to 184 computations (28.4% saved)

end219.0ms (0.9%)

Compiler

Compiled 627 to 379 computations (39.6% saved)

Profiling

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