Details

Time bar (total: 10.8s)

analyze400.0ms (3.7%)

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)

sample7.6s (69.9%)

Results
3.2s1839×body2048valid
2.5s2791×body1024valid
605.0ms1168×body512valid
270.0ms194×body1024invalid
225.0ms1579×body64valid
202.0ms574×body256valid
177.0ms231×body512invalid
116.0ms910×body64invalid
80.0ms32×body4096valid
72.0ms273×body128valid
68.0ms144×body256invalid
47.0ms22×body2048invalid
20.0ms69×body128invalid

preprocess38.0ms (0.4%)

Algorithm
2×egg-herbie
Rules
530×times-frac_binary64
481×associate-*l*_binary64
456×associate-*r*_binary64
361×associate-/l*_binary64
342×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01744
14844
212340
332940
4105040
5586740
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 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n))
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 n i)) i) 1) (/.f64 n i)))
(*.f64 100 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 n i)) i) -1) n) i))
(*.f64 100 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 n i)) i) -1) (/.f64 n i)))
(*.f64 i (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 n i)) i) -100) n))
Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify34.0ms (0.3%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01122
12922
26820
317220
452920
5236020
6720220
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 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
48.7b
Counts
3 → 2
Alt Table
StatusErrorProgram
49.0b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
▶48.8b
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
Compiler

Compiled 97 to 63 computations (35.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i)
✓0.0b
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
✓1.5b
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
✓5.7b
(pow.f64 (+.f64 1 (/.f64 i n)) n)

series30.0ms (0.3%)

Counts
4 → 96
Calls

24 calls:

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

rewrite64.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
605×log-prod_binary64
331×pow2_binary64
319×prod-diff_binary64
240×fma-def_binary64
235×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01261
126261
2341661
Stop Event
1×node limit
Counts
4 → 117
Calls
Call 1
Inputs
(pow.f64 (+.f64 1 (/.f64 i n)) n)
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 1 (/.f64 i n)) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 2) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 n) (pow.f64 (+.f64 1 (/.f64 i n)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 i n))) 2) n) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 i n))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 i n))) n) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 i n))) n))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 n (log1p.f64 (/.f64 i n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)))))))
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simplify107.0ms (1%)

Algorithm
1×egg-herbie
Rules
807×associate-/r*_binary64
544×fma-def_binary64
408×associate-/r/_binary64
311×+-commutative_binary64
245×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04245710
114765322
254754829
Stop Event
1×node limit
Counts
213 → 280
Calls
Call 1
Inputs
1
(+.f64 1 i)
(+.f64 1 (+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 1 (+.f64 i (+.f64 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i) (+.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))))
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100
(+.f64 100 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 100 (+.f64 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))))) (+.f64 100 (+.f64 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))))
(/.f64 (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100) i)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) i))) (*.f64 100 (/.f64 1 i)))
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 3))) (*.f64 100 (/.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) i)))) (*.f64 100 (/.f64 1 i)))
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4))))) (pow.f64 i 4))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 3))) (*.f64 100 (/.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) i))))) (*.f64 100 (/.f64 1 i)))
(/.f64 (-.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 (*.f64 100 (/.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) i)) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2)))) (*.f64 100 (/.f64 1 i)))
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) i)) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))))) (*.f64 100 (/.f64 1 i)))
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (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 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 -100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 i 4)))))) (*.f64 100 (/.f64 1 i)))
(*.f64 100 (/.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
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(/.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) i)
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(-.f64 (+.f64 (*.f64 100 (/.f64 (exp.f64 i) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 -50 (/.f64 (*.f64 i (exp.f64 i)) n)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 3) i)))))) (*.f64 100 (/.f64 1 i)))
(/.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) i)
(-.f64 (+.f64 (*.f64 100 (/.f64 (exp.f64 i) i)) (*.f64 -50 (/.f64 (*.f64 i (exp.f64 i)) n))) (*.f64 100 (/.f64 1 i)))
(-.f64 (+.f64 (*.f64 100 (/.f64 (exp.f64 i) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 (pow.f64 n 2) i))) (*.f64 -50 (/.f64 (*.f64 i (exp.f64 i)) n)))) (*.f64 100 (/.f64 1 i)))
(-.f64 (+.f64 (*.f64 100 (/.f64 (exp.f64 i) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 -50 (/.f64 (*.f64 i (exp.f64 i)) n)) (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 3) i)))))) (*.f64 100 (/.f64 1 i)))
Outputs
1
(+.f64 1 i)
(+.f64 1 (+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 (+.f64 1 i) (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))))
(+.f64 1 (fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i))
(+.f64 1 (+.f64 i (+.f64 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (+.f64 1 i) (fma.f64 (pow.f64 i 3) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n)) (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))))
(+.f64 (+.f64 1 i) (fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))
(+.f64 (+.f64 1 i) (*.f64 i (*.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))))))
(exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))
(pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))
(pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))
(*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)))
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(*.f64 (+.f64 (/.f64 (*.f64 n n) i) 1) (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))))
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(+.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (+.f64 (*.f64 (/.f64 (*.f64 n n) i) (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))) (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) i) (/.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 -1/2 (pow.f64 n 3))) i))))
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prune417.0ms (3.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New26812280
Fresh011
Picked101
Done000
Total26913282
Error
3.0b
Counts
282 → 13
Alt Table
StatusErrorProgram
31.0b
(*.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)))))))
48.2b
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
45.4b
(*.f64 n (/.f64 (fma.f64 100 (exp.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) -100) i))
26.9b
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
60.5b
(*.f64 n (fma.f64 100 (*.f64 (+.f64 (/.f64 (*.f64 n n) i) 1) (/.f64 (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n))) i)) (/.f64 -100 i)))
32.3b
(*.f64 n (/.f64 (*.f64 100 (+.f64 (+.f64 i (*.f64 i (*.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 (pow.f64 i 4) (+.f64 1/24 (+.f64 (/.f64 (/.f64 11/24 n) n) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3)))))))) i))
49.0b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
48.4b
(*.f64 (/.f64 n i) (fma.f64 (exp.f64 i) 100 -100))
48.7b
(pow.f64 (/.f64 i (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100))) -1)
▶26.5b
(*.f64 n 100)
55.2b
(*.f64 n (*.f64 100 (*.f64 (/.f64 n i) (-.f64 (log.f64 i) (log.f64 n)))))
55.1b
(*.f64 n (/.f64 (*.f64 100 (*.f64 n (+.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))))) i))
55.2b
(*.f64 n (/.f64 (*.f64 n (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100)) i))
Compiler

Compiled 10636 to 6952 computations (34.6% saved)

localize1.0ms (0%)

prune13.0ms (0.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01212
Picked011
Done000
Total01313
Error
3.0b
Counts
13 → 13
Alt Table
StatusErrorProgram
31.0b
(*.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)))))))
48.2b
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
45.4b
(*.f64 n (/.f64 (fma.f64 100 (exp.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) -100) i))
▶26.9b
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
60.5b
(*.f64 n (fma.f64 100 (*.f64 (+.f64 (/.f64 (*.f64 n n) i) 1) (/.f64 (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n))) i)) (/.f64 -100 i)))
32.3b
(*.f64 n (/.f64 (*.f64 100 (+.f64 (+.f64 i (*.f64 i (*.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 (pow.f64 i 4) (+.f64 1/24 (+.f64 (/.f64 (/.f64 11/24 n) n) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3)))))))) i))
49.0b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
48.4b
(*.f64 (/.f64 n i) (fma.f64 (exp.f64 i) 100 -100))
48.7b
(pow.f64 (/.f64 i (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100))) -1)
✓26.5b
(*.f64 n 100)
55.2b
(*.f64 n (*.f64 100 (*.f64 (/.f64 n i) (-.f64 (log.f64 i) (log.f64 n)))))
55.1b
(*.f64 n (/.f64 (*.f64 100 (*.f64 n (+.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))))) i))
55.2b
(*.f64 n (/.f64 (*.f64 n (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100)) i))
Compiler

Compiled 543 to 380 computations (30% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
✓0.1b
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
✓0.1b
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
✓4.8b
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))

series15.0ms (0.1%)

Counts
4 → 57
Calls

24 calls:

TimeVariablePointExpression
4.0ms
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
i
@inf
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
1.0ms
n
@-inf
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
1.0ms
n
@inf
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))

rewrite71.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
781×log-prod_binary64
560×fma-def_binary64
271×pow1/3_binary64
268×expm1-udef_binary64
268×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01458
131456
2415156
Stop Event
1×node limit
Counts
4 → 144
Calls
Call 1
Inputs
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 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 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 i) (+.f64 1/2 (/.f64 -1/2 n))) n)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 i) (+.f64 1/2 (/.f64 -1/2 n))) n)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 i) (+.f64 1/2 (/.f64 -1/2 n))) n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 i) (+.f64 1/2 (/.f64 -1/2 n))) n))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 i) (+.f64 1/2 (/.f64 -1/2 n))) 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)) 3) 1/3)))) (#(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 (*.f64 (pow.f64 n 3) (pow.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 3) (pow.f64 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 (pow.f64 (exp.f64 i) (+.f64 1/2 (/.f64 -1/2 n))) 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 cbrt.f64 (*.f64 (pow.f64 n 3) (pow.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 3) (pow.f64 n 3)))))) (#(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)))))) (#(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 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 log1p.f64 (expm1.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 100) (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)))) (cbrt.f64 (pow.f64 (exp.f64 100) (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 100) (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 100)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 10 (sqrt.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1000000 (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 (*.f64 10000 (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 100) (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1000000 (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 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 100)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 100)))))))
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(+.f64 1/2 (/.f64 -1/2 n))))) (sqrt.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 100 (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n) (*.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 100 (sqrt.f64 n)) (sqrt.f64 n) (*.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 100))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 (fma.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n) n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100 (fma.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n) n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 100 (fma.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n) n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 (fma.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n) n))))))))

simplify42.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
845×unsub-neg_binary64
601×times-frac_binary64
495×associate-/l*_binary64
366×distribute-rgt-in_binary64
282×distribute-rgt-neg-out_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038608
197554
2225505
3574505
41635505
53968505
Stop Event
1×node limit
Counts
201 → 171
Calls
Call 1
Inputs
(*.f64 -1/2 i)
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(*.f64 1/2 (*.f64 n i))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(*.f64 1/2 (*.f64 n i))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(*.f64 -50 i)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(*.f64 50 (*.f64 n i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(*.f64 50 (*.f64 n i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(*.f64 -1/2 (/.f64 i n))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 1/2 i)
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 1/2 i)
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 -50 i)
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i))
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i))
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i))))
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i))))
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i))))
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100)))
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) (*.f64 -50 i))
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) (*.f64 -50 i))
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) (*.f64 -50 i))
(*.f64 100 n)
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
Outputs
(*.f64 -1/2 i)
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(*.f64 i (fma.f64 1/2 n -1/2))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(*.f64 i (fma.f64 1/2 n -1/2))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(*.f64 i (fma.f64 1/2 n -1/2))
(*.f64 1/2 (*.f64 n i))
(*.f64 1/2 (*.f64 i n))
(*.f64 i (*.f64 1/2 n))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(*.f64 i (fma.f64 1/2 n -1/2))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(*.f64 i (fma.f64 1/2 n -1/2))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(*.f64 i (fma.f64 1/2 n -1/2))
(*.f64 1/2 (*.f64 n i))
(*.f64 1/2 (*.f64 i n))
(*.f64 i (*.f64 1/2 n))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(*.f64 i (fma.f64 1/2 n -1/2))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(*.f64 i (fma.f64 1/2 n -1/2))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n)))
(*.f64 i (fma.f64 1/2 n -1/2))
(*.f64 -50 i)
(*.f64 i -50)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 (*.f64 n 50) -50))
(*.f64 i (fma.f64 n 50 -50))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 (*.f64 n 50) -50))
(*.f64 i (fma.f64 n 50 -50))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 (*.f64 n 50) -50))
(*.f64 i (fma.f64 n 50 -50))
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 i n) 50)
(*.f64 i (*.f64 n 50))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 (*.f64 n 50) -50))
(*.f64 i (fma.f64 n 50 -50))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 (*.f64 n 50) -50))
(*.f64 i (fma.f64 n 50 -50))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 (*.f64 n 50) -50))
(*.f64 i (fma.f64 n 50 -50))
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 i n) 50)
(*.f64 i (*.f64 n 50))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 (*.f64 n 50) -50))
(*.f64 i (fma.f64 n 50 -50))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 (*.f64 n 50) -50))
(*.f64 i (fma.f64 n 50 -50))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 (*.f64 n 50) -50))
(*.f64 i (fma.f64 n 50 -50))
(*.f64 -1/2 (/.f64 i n))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n)))
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 1/2 (-.f64 i (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n)))
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 1/2 (-.f64 i (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n)))
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 1/2 (-.f64 i (/.f64 i 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 1/2 (-.f64 i (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n)))
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 1/2 (-.f64 i (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n)))
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 1/2 (-.f64 i (/.f64 i 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 1/2 (-.f64 i (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n)))
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 1/2 (-.f64 i (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n)))
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 1/2 (-.f64 i (/.f64 i n)))
(*.f64 -50 i)
(*.f64 i -50)
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 n (fma.f64 i 50 100))
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i))))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i))))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i))))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 n (fma.f64 i 50 100))
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) (*.f64 -50 i))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) (*.f64 -50 i))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) (*.f64 -50 i))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(*.f64 100 n)
(*.f64 n 100)
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 (*.f64 n 50) -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 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 (*.f64 n 50) -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 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))

prune367.0ms (3.4%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1701171
Fresh01111
Picked011
Done011
Total17014184
Error
3.0b
Counts
184 → 14
Alt Table
StatusErrorProgram
31.0b
(*.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)))))))
48.2b
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
45.4b
(*.f64 n (/.f64 (fma.f64 100 (exp.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) -100) i))
✓26.9b
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
60.5b
(*.f64 n (fma.f64 100 (*.f64 (+.f64 (/.f64 (*.f64 n n) i) 1) (/.f64 (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n))) i)) (/.f64 -100 i)))
32.3b
(*.f64 n (/.f64 (*.f64 100 (+.f64 (+.f64 i (*.f64 i (*.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 (pow.f64 i 4) (+.f64 1/24 (+.f64 (/.f64 (/.f64 11/24 n) n) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3)))))))) i))
49.0b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
48.4b
(*.f64 (/.f64 n i) (fma.f64 (exp.f64 i) 100 -100))
48.7b
(pow.f64 (/.f64 i (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100))) -1)
▶27.4b
(+.f64 (*.f64 100 (*.f64 n (log.f64 (+.f64 1 (expm1.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))))) (*.f64 100 n))
✓26.5b
(*.f64 n 100)
55.2b
(*.f64 n (*.f64 100 (*.f64 (/.f64 n i) (-.f64 (log.f64 i) (log.f64 n)))))
55.1b
(*.f64 n (/.f64 (*.f64 100 (*.f64 n (+.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))))) i))
55.2b
(*.f64 n (/.f64 (*.f64 n (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100)) i))
Compiler

Compiled 3977 to 2929 computations (26.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 100 (*.f64 n (log.f64 (+.f64 1 (expm1.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))))
✓0.0b
(+.f64 (*.f64 100 (*.f64 n (log.f64 (+.f64 1 (expm1.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))))) (*.f64 100 n))
✓0.1b
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
✓3.5b
(log.f64 (+.f64 1 (expm1.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))

series98.0ms (0.9%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
31.0ms
n
@0
(+.f64 (*.f64 100 (*.f64 n (log.f64 (+.f64 1 (expm1.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))))) (*.f64 100 n))
29.0ms
i
@inf
(log.f64 (+.f64 1 (expm1.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))
13.0ms
i
@-inf
(log.f64 (+.f64 1 (expm1.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))
13.0ms
n
@0
(log.f64 (+.f64 1 (expm1.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))
2.0ms
i
@0
(log.f64 (+.f64 1 (expm1.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))

rewrite92.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
831×log-prod_binary64
734×fma-def_binary64
346×fma-neg_binary64
301×expm1-udef_binary64
300×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01755
137953
2482653
Stop Event
1×node limit
Counts
4 → 242
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (expm1.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(+.f64 (*.f64 100 (*.f64 n (log.f64 (+.f64 1 (expm1.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))))) (*.f64 100 n))
(*.f64 100 (*.f64 n (log.f64 (+.f64 1 (expm1.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))))
Outputs
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simplify58.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
570×distribute-rgt-in_binary64
566×distribute-lft-in_binary64
506×associate-+l+_binary64
436×associate-+r+_binary64
382×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01451425
14791261
218911202
366661176
Stop Event
1×node limit
Counts
338 → 219
Calls
Call 1
Inputs
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 1/2 (*.f64 (pow.f64 i 2) (+.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 2) (*.f64 -1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 2))))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 i 3) (+.f64 (*.f64 2 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 3)) (+.f64 (*.f64 -3 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 3)) (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 3))))) (+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 1/2 (*.f64 (pow.f64 i 2) (+.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 2) (*.f64 -1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 2)))))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 i 3) (+.f64 (*.f64 2 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 3)) (+.f64 (*.f64 -3 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 3)) (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 3))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 i 4) (+.f64 (*.f64 -6 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 4)) (+.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 4) (+.f64 (*.f64 12 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 4)) (+.f64 (*.f64 -4 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 4)) (*.f64 -3 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 4)))))))) (+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 1/2 (*.f64 (pow.f64 i 2) (+.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 2) (*.f64 -1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 2))))))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 1/2 i)
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 i 2)) (*.f64 -1/4 (pow.f64 i 2))) (pow.f64 n 2))) (+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 i 2)) (*.f64 -1/4 (pow.f64 i 2))) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 i 3)) (+.f64 (*.f64 -1/8 (pow.f64 i 3)) (*.f64 3/8 (pow.f64 i 3)))) (pow.f64 n 3))) (+.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 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 i 2)) (*.f64 -1/4 (pow.f64 i 2))) (pow.f64 n 2))) (+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 i 2)) (*.f64 -1/4 (pow.f64 i 2))) (pow.f64 n 2))) (+.f64 (*.f64 1/2 i) (+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 -1/6 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 i 3)) (+.f64 (*.f64 -3/8 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 3)))) (pow.f64 n 3))))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 -1/2 (/.f64 i n))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 1/2 i)
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 1/2 i)
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 n (+.f64 100 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 n (+.f64 100 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 n (+.f64 100 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i))))
(+.f64 (*.f64 50 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 i 2)) (*.f64 -1/4 (pow.f64 i 2))) n)) (+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i)))))
(+.f64 (*.f64 50 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 i 2)) (*.f64 -1/4 (pow.f64 i 2))) n)) (+.f64 (*.f64 50/3 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 i 3)) (+.f64 (*.f64 -1/8 (pow.f64 i 3)) (*.f64 3/8 (pow.f64 i 3)))) (pow.f64 n 2))) (+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i))))))
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100)))
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) (*.f64 -50 i))
(+.f64 (*.f64 50 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 i 2)) (*.f64 -1/4 (pow.f64 i 2))) n)) (+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) (*.f64 -50 i)))
(+.f64 (*.f64 50 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 i 2)) (*.f64 -1/4 (pow.f64 i 2))) n)) (+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) (+.f64 (*.f64 -50/3 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 i 3)) (+.f64 (*.f64 -3/8 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 3)))) (pow.f64 n 2))) (*.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 50 (*.f64 n (*.f64 (pow.f64 i 2) (+.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 2) (*.f64 -1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 2)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)))
(+.f64 (*.f64 50 (*.f64 n (*.f64 (pow.f64 i 2) (+.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 2) (*.f64 -1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 2)))))) (+.f64 (*.f64 50/3 (*.f64 n (*.f64 (pow.f64 i 3) (+.f64 (*.f64 2 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 3)) (+.f64 (*.f64 -3 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 3)) (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 3)))))) (+.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 (*.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 (*.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 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 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(*.f64 50 (*.f64 n i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(+.f64 (*.f64 50 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 i 2)) (*.f64 -1/4 (pow.f64 i 2))) n)) (+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i)))
(+.f64 (*.f64 50 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 i 2)) (*.f64 -1/4 (pow.f64 i 2))) n)) (+.f64 (*.f64 50/3 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 i 3)) (+.f64 (*.f64 -1/8 (pow.f64 i 3)) (*.f64 3/8 (pow.f64 i 3)))) (pow.f64 n 2))) (+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))))
(*.f64 50 (*.f64 n i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(+.f64 (*.f64 50 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 i 2)) (*.f64 -1/4 (pow.f64 i 2))) n)) (+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i)))
(+.f64 (*.f64 50 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 i 2)) (*.f64 -1/4 (pow.f64 i 2))) n)) (+.f64 (*.f64 -50/3 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 i 3)) (+.f64 (*.f64 -3/8 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 3)))) (pow.f64 n 2))) (+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))))
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 (*.f64 50 (*.f64 n (*.f64 (pow.f64 i 2) (+.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 2) (*.f64 -1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 2)))))) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 50 (*.f64 n (*.f64 (pow.f64 i 2) (+.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 2) (*.f64 -1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 2)))))) (+.f64 (*.f64 50/3 (*.f64 n (*.f64 (pow.f64 i 3) (+.f64 (*.f64 2 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 3)) (+.f64 (*.f64 -3 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 3)) (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 3)))))) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))))
(+.f64 (*.f64 50 (*.f64 n (*.f64 (pow.f64 i 2) (+.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 2) (*.f64 -1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 2)))))) (+.f64 (*.f64 25/6 (*.f64 n (*.f64 (pow.f64 i 4) (+.f64 (*.f64 -6 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 4)) (+.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 4) (+.f64 (*.f64 12 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 4)) (+.f64 (*.f64 -4 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 4)) (*.f64 -3 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 4))))))))) (+.f64 (*.f64 50/3 (*.f64 n (*.f64 (pow.f64 i 3) (+.f64 (*.f64 2 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 3)) (+.f64 (*.f64 -3 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 3)) (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 3)))))) (*.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 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 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 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 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
Outputs
(*.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 1/2 (*.f64 (pow.f64 i 2) (+.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 2) (*.f64 -1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 2))))))
(*.f64 i (-.f64 1/2 (/.f64 1/2 n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 i 3) (+.f64 (*.f64 2 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 3)) (+.f64 (*.f64 -3 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 3)) (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 3))))) (+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 1/2 (*.f64 (pow.f64 i 2) (+.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 2) (*.f64 -1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 2)))))))
(*.f64 i (-.f64 1/2 (/.f64 1/2 n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 i 3) (+.f64 (*.f64 2 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 3)) (+.f64 (*.f64 -3 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 3)) (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 3))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 i 4) (+.f64 (*.f64 -6 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 4)) (+.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 4) (+.f64 (*.f64 12 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 4)) (+.f64 (*.f64 -4 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 4)) (*.f64 -3 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 4)))))))) (+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 1/2 (*.f64 (pow.f64 i 2) (+.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 2) (*.f64 -1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 2))))))))
(fma.f64 1/6 (*.f64 (pow.f64 i 3) (fma.f64 2 (pow.f64 (-.f64 1/2 (/.f64 1/2 n)) 3) (*.f64 -2 (pow.f64 (-.f64 1/2 (/.f64 1/2 n)) 3)))) (fma.f64 1/24 (*.f64 (pow.f64 i 4) (fma.f64 -6 (pow.f64 (-.f64 1/2 (/.f64 1/2 n)) 4) (+.f64 (pow.f64 (-.f64 1/2 (/.f64 1/2 n)) 4) (fma.f64 12 (pow.f64 (-.f64 1/2 (/.f64 1/2 n)) 4) (*.f64 (pow.f64 (-.f64 1/2 (/.f64 1/2 n)) 4) -7))))) (fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 1/2 (*.f64 (*.f64 i i) (*.f64 0 (pow.f64 (-.f64 1/2 (/.f64 1/2 n)) 2)))))))
(fma.f64 1/6 (*.f64 (pow.f64 i 3) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 n)) 3) 0)) (fma.f64 1/24 (*.f64 (pow.f64 i 4) (+.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 n)) 4) 5) (*.f64 -5 (pow.f64 (+.f64 1/2 (/.f64 -1/2 n)) 4)))) (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 0)))
(fma.f64 1/24 (*.f64 (pow.f64 i 4) (+.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 n)) 4) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 n)) 4) -1))) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))
(fma.f64 1/24 (*.f64 (pow.f64 i 4) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 n)) 4) 0)) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (/.f64 1/2 n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (/.f64 1/2 n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (/.f64 1/2 n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (/.f64 1/2 n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (/.f64 1/2 n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (/.f64 1/2 n)))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 i (-.f64 1/2 (/.f64 1/2 n)))
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(*.f64 i (+.f64 -50 (*.f64 n 50)))
(*.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 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) 100)))
(*.f64 n (*.f64 i (+.f64 50 (*.f64 100 (/.f64 -1/2 n)))))
(+.f64 (*.f64 50 (*.f64 n (*.f64 (pow.f64 i 2) (+.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 2) (*.f64 -1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 2)))))) (*.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 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) 100)))
(*.f64 n (*.f64 i (+.f64 50 (*.f64 100 (/.f64 -1/2 n)))))
(+.f64 (*.f64 50 (*.f64 n (*.f64 (pow.f64 i 2) (+.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 2) (*.f64 -1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 2)))))) (+.f64 (*.f64 50/3 (*.f64 n (*.f64 (pow.f64 i 3) (+.f64 (*.f64 2 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 3)) (+.f64 (*.f64 -3 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 3)) (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 3)))))) (*.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 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) 100)))
(*.f64 n (*.f64 i (+.f64 50 (*.f64 100 (/.f64 -1/2 n)))))
(+.f64 (*.f64 50 (*.f64 n (*.f64 (pow.f64 i 2) (+.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 2) (*.f64 -1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 2)))))) (+.f64 (*.f64 25/6 (*.f64 n (*.f64 (pow.f64 i 4) (+.f64 (*.f64 -6 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 4)) (+.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 4) (+.f64 (*.f64 12 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 4)) (+.f64 (*.f64 -4 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 4)) (*.f64 -3 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 4))))))))) (+.f64 (*.f64 50/3 (*.f64 n (*.f64 (pow.f64 i 3) (+.f64 (*.f64 2 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 3)) (+.f64 (*.f64 -3 (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 3)) (pow.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 3)))))) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))))
(fma.f64 50 (*.f64 n (*.f64 (*.f64 i i) (*.f64 0 (pow.f64 (-.f64 1/2 (/.f64 1/2 n)) 2)))) (fma.f64 25/6 (*.f64 (*.f64 n (pow.f64 i 4)) (fma.f64 -6 (pow.f64 (-.f64 1/2 (/.f64 1/2 n)) 4) (+.f64 (pow.f64 (-.f64 1/2 (/.f64 1/2 n)) 4) (fma.f64 12 (pow.f64 (-.f64 1/2 (/.f64 1/2 n)) 4) (*.f64 (pow.f64 (-.f64 1/2 (/.f64 1/2 n)) 4) -7))))) (fma.f64 50/3 (*.f64 n (*.f64 (pow.f64 i 3) (fma.f64 2 (pow.f64 (-.f64 1/2 (/.f64 1/2 n)) 3) (*.f64 -2 (pow.f64 (-.f64 1/2 (/.f64 1/2 n)) 3))))) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))))))
(+.f64 (*.f64 n 0) (fma.f64 25/6 (*.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 n)) 4) 5) (*.f64 -5 (pow.f64 (+.f64 1/2 (/.f64 -1/2 n)) 4))) (*.f64 n (pow.f64 i 4))) (fma.f64 100 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) (*.f64 (*.f64 n (pow.f64 i 3)) (*.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 n)) 3) 0) 50/3)))))
(fma.f64 25/6 (*.f64 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 n)) 4) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 n)) 4) -1)) (*.f64 n (pow.f64 i 4))) (fma.f64 100 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i n)) 0))
(*.f64 n (+.f64 (*.f64 i (+.f64 50 (*.f64 100 (/.f64 -1/2 n)))) (*.f64 (*.f64 (pow.f64 i 4) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 n)) 4) 0)) 25/6)))
(*.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 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) 100)))
(*.f64 n (*.f64 i (+.f64 50 (*.f64 100 (/.f64 -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 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) 100)))
(*.f64 n (*.f64 i (+.f64 50 (*.f64 100 (/.f64 -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 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) 100)))
(*.f64 n (*.f64 i (+.f64 50 (*.f64 100 (/.f64 -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 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) 100)))
(*.f64 n (*.f64 i (+.f64 50 (*.f64 100 (/.f64 -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 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) 100)))
(*.f64 n (*.f64 i (+.f64 50 (*.f64 100 (/.f64 -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 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) 100)))
(*.f64 n (*.f64 i (+.f64 50 (*.f64 100 (/.f64 -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 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) 100)))
(*.f64 n (*.f64 i (+.f64 50 (*.f64 100 (/.f64 -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 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) 100)))
(*.f64 n (*.f64 i (+.f64 50 (*.f64 100 (/.f64 -1/2 n)))))

prune739.0ms (6.8%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New2190219
Fresh01111
Picked011
Done022
Total21914233
Error
3.0b
Counts
233 → 14
Alt Table
StatusErrorProgram
31.0b
(*.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)))))))
48.2b
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
45.4b
(*.f64 n (/.f64 (fma.f64 100 (exp.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) -100) i))
✓26.9b
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
60.5b
(*.f64 n (fma.f64 100 (*.f64 (+.f64 (/.f64 (*.f64 n n) i) 1) (/.f64 (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n))) i)) (/.f64 -100 i)))
32.3b
(*.f64 n (/.f64 (*.f64 100 (+.f64 (+.f64 i (*.f64 i (*.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 (pow.f64 i 4) (+.f64 1/24 (+.f64 (/.f64 (/.f64 11/24 n) n) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3)))))))) i))
49.0b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
48.4b
(*.f64 (/.f64 n i) (fma.f64 (exp.f64 i) 100 -100))
48.7b
(pow.f64 (/.f64 i (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100))) -1)
✓27.4b
(+.f64 (*.f64 100 (*.f64 n (log.f64 (+.f64 1 (expm1.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))))) (*.f64 100 n))
✓26.5b
(*.f64 n 100)
55.2b
(*.f64 n (*.f64 100 (*.f64 (/.f64 n i) (-.f64 (log.f64 i) (log.f64 n)))))
55.1b
(*.f64 n (/.f64 (*.f64 100 (*.f64 n (+.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))))) i))
55.2b
(*.f64 n (/.f64 (*.f64 n (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100)) i))
Compiler

Compiled 5826 to 4422 computations (24.1% saved)

regimes109.0ms (1%)

Accuracy

Total -54.2b remaining (-552.1%)

Threshold costs -54.2b (-552.1%)

Counts
15 → 3
Calls
Call 1
Inputs
(+.f64 (*.f64 100 (*.f64 n (log.f64 (+.f64 1 (expm1.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))))) (*.f64 100 n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(*.f64 n (/.f64 (fma.f64 100 (exp.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) -100) i))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 n (fma.f64 100 (*.f64 (+.f64 (/.f64 (*.f64 n n) i) 1) (/.f64 (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n))) i)) (/.f64 -100 i)))
(*.f64 n (/.f64 (*.f64 100 (+.f64 (+.f64 i (*.f64 i (*.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 (pow.f64 i 4) (+.f64 1/24 (+.f64 (/.f64 (/.f64 11/24 n) n) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3)))))))) i))
(*.f64 (/.f64 n i) (fma.f64 (exp.f64 i) 100 -100))
(pow.f64 (/.f64 i (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100))) -1)
(*.f64 n 100)
(*.f64 n (*.f64 100 (*.f64 (/.f64 n i) (-.f64 (log.f64 i) (log.f64 n)))))
(*.f64 n (/.f64 (*.f64 100 (*.f64 n (+.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))))) i))
(*.f64 n (/.f64 (*.f64 n (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100)) i))
(*.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 i n)) n) 1) (/.f64 i n)))
Outputs
(*.f64 n (/.f64 (fma.f64 100 (exp.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) -100) i))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 n (*.f64 100 (*.f64 (/.f64 n i) (-.f64 (log.f64 i) (log.f64 n)))))
Results
21.0ms9.8bi
62.0ms17.1bn
10.0ms21.1b(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
9.0ms21.1b(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 320 to 202 computations (36.9% saved)

bsearch501.0ms (4.6%)

Algorithm
2×binary-search
Calls

2 calls:

399.0ms
i
101.0ms
i
Steps
ItersPointRange
5.9e+35
∈ [
1.0849596292504636e-7
, 
5.955160703927166e+35
]
-0.0005
∈ [
-0.0005210478526237206
, 
-2.981756587102205e-6
]
Compiler

Compiled 713 to 535 computations (25% saved)

simplify4.0ms (0%)

Algorithm
1×egg-herbie
Rules
13×*-commutative_binary64
6×+-commutative_binary64
5×sub-neg_binary64
3×neg-sub0_binary64
3×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03678
15778
26978
37778
48178
58278
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 i -9223372036854776/18446744073709551616) (*.f64 n (/.f64 (fma.f64 100 (exp.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) -100) i)) (if (<=.f64 i 589999999999999985183208851457966080) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) (*.f64 n (*.f64 100 (*.f64 (/.f64 n i) (-.f64 (log.f64 i) (log.f64 n)))))))
Outputs
(if (<=.f64 i -9223372036854776/18446744073709551616) (*.f64 n (/.f64 (fma.f64 100 (exp.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) -100) i)) (if (<=.f64 i 589999999999999985183208851457966080) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) (*.f64 n (*.f64 100 (*.f64 (/.f64 n i) (-.f64 (log.f64 i) (log.f64 n)))))))
(if (<=.f64 i -1152921504606847/2305843009213693952) (*.f64 n (/.f64 (fma.f64 100 (exp.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) -100) i)) (if (<=.f64 i 589999999999999985183208851457966080) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 -1/2 (/.f64 1 n)))))) (*.f64 n 100)) (*.f64 n (*.f64 100 (*.f64 (/.f64 n i) (-.f64 (log.f64 i) (log.f64 n)))))))
(if (<=.f64 i -1152921504606847/2305843009213693952) (*.f64 n (/.f64 (fma.f64 100 (exp.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) -100) i)) (if (<=.f64 i 589999999999999985183208851457966080) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 (/.f64 1 n) -1/2))))) (*.f64 n 100)) (*.f64 n (*.f64 100 (*.f64 (/.f64 n i) (-.f64 (log.f64 i) (log.f64 n)))))))
(if (<=.f64 i -1152921504606847/2305843009213693952) (*.f64 n (/.f64 (fma.f64 100 (exp.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) -100) i)) (if (<=.f64 i 589999999999999985183208851457966080) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 1/2 (/.f64 -1 n)))))) (*.f64 n 100)) (*.f64 n (*.f64 100 (*.f64 (/.f64 n i) (-.f64 (log.f64 i) (log.f64 n)))))))

end30.0ms (0.3%)

Stop Event
1×fuel
Compiler

Compiled 108 to 76 computations (29.6% saved)

Profiling

Loading profile data...