Compound Interest

Time bar (total: 17.5s)

analyze258.0ms (1.5%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
12.5%12.5%87.4%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
39.1%39%60.9%0.1%0%0%0%7
44.5%44.5%55.4%0.1%0%0%0%8
55.3%55%44.5%0.1%0%0%0.4%9
59.3%58.7%40.4%0.1%0%0%0.8%10
65.5%64.5%34%0.1%0%0%1.5%11
67.8%66.6%31.6%0.1%0%0%1.8%12
Compiler

Compiled 18 to 11 computations (38.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 166.0ms
ival-pow: 111.0ms (66.7% of total)
ival-div: 23.0ms (13.8% of total)
ival-mult: 11.0ms (6.6% of total)
ival-sub: 9.0ms (5.4% of total)
ival-add: 9.0ms (5.4% of total)
const: 2.0ms (1.2% of total)
backward-pass: 1.0ms (0.6% of total)

sample4.2s (24.2%)

Results
3.3s6025×1valid
256.0ms2101×0valid
150.0ms1999×0invalid
96.0ms130×2valid
Precisions
Click to see histograms. Total time spent on operations: 2.8s
ival-pow: 1.9s (67.9% of total)
ival-div: 336.0ms (12% of total)
ival-mult: 193.0ms (6.9% of total)
ival-sub: 119.0ms (4.3% of total)
ival-add: 118.0ms (4.2% of total)
backward-pass: 102.0ms (3.7% of total)
const: 27.0ms (1% of total)
Bogosity

preprocess257.0ms (1.5%)

Algorithm
2×egg-herbie
Rules
1896×sum3-define
1648×sum5-define
1528×fnmsub-define
1506×fma-define
1358×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032100
19796
228088
3104486
4451386
01015
12415
25114
310414
421414
552914
6108214
7198714
8430714
9727814
0804514
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
Outputs
(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
Call 2
Inputs
(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
(* 100 (/ (- (pow (+ 1 (/ (neg i) n)) n) 1) (/ (neg i) n)))
(* 100 (/ (- (pow (+ 1 (/ i (neg n))) (neg n)) 1) (/ i (neg n))))
(neg (* 100 (/ (- (pow (+ 1 (/ (neg i) n)) n) 1) (/ (neg i) n))))
(neg (* 100 (/ (- (pow (+ 1 (/ i (neg n))) (neg n)) 1) (/ i (neg n)))))
(* 100 (/ (- (pow (+ 1 (/ n i)) i) 1) (/ n i)))
Outputs
(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
(* (fma 100 (pow (+ 1 (/ i n)) n) -100) (/ n i))
(* 100 (/ (- (pow (+ 1 (/ (neg i) n)) n) 1) (/ (neg i) n)))
(* (/ n i) (fnmsub 100 (pow (- 1 (/ i n)) n) -100))
(* 100 (/ (- (pow (+ 1 (/ i (neg n))) (neg n)) 1) (/ i (neg n))))
(* n (/ (fnmsub 100 (pow (- 1 (/ i n)) (neg n)) -100) i))
(neg (* 100 (/ (- (pow (+ 1 (/ (neg i) n)) n) 1) (/ (neg i) n))))
(* (fma 100 (pow (- 1 (/ i n)) n) -100) (/ n i))
(neg (* 100 (/ (- (pow (+ 1 (/ i (neg n))) (neg n)) 1) (/ i (neg n)))))
(* n (/ (fma 100 (pow (- 1 (/ i n)) (neg n)) -100) i))
(* 100 (/ (- (pow (+ 1 (/ n i)) i) 1) (/ n i)))
(* (fma 100 (pow (fma n (recip i) 1) i) -100) (/ i n))

explain286.0ms (1.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1710-0-(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
6989(2.7970148265028063e-165 1.5238646576229082e+22)0-(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
380-2(1.4609391838679016e-239 -1.0493584211290971e+73)(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
10-1(6.741393585474566e-165 2.0209072888219942e-244)(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
00-0-#s(literal 100 binary64)
00-0-(/.f64 i n)
00-0-i
00-0-#s(literal 1 binary64)
00-0-(+.f64 #s(literal 1 binary64) (/.f64 i n))
00-0-n
Results
203.0ms416×1valid
12.0ms88×0valid
8.0ms8×2valid
Compiler

Compiled 135 to 32 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 167.0ms
ival-pow: 121.0ms (72.3% of total)
ival-div: 16.0ms (9.6% of total)
backward-pass: 9.0ms (5.4% of total)
ival-sub: 7.0ms (4.2% of total)
ival-mult: 7.0ms (4.2% of total)
ival-add: 5.0ms (3% of total)
const: 2.0ms (1.2% of total)

eval0.0ms (0%)

Compiler

Compiled 17 to 10 computations (41.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶29.0%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 17 to 10 computations (41.2% saved)

simplify176.0ms (1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓cost-diff0
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
✓cost-diff0
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Rules
1896×sum3-define
1648×sum5-define
1528×fnmsub-define
1506×fma-define
1358×fma-lowering-fma.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01056
12456
25155
310455
421455
552954
6108254
7198754
8430754
9727854
0804554
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
100
(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
(- (pow (+ 1 (/ i n)) n) 1)
(pow (+ 1 (/ i n)) n)
(+ 1 (/ i n))
1
(/ i n)
i
n
Outputs
(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
100
#s(literal 100 binary64)
(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 i n))
(- (pow (+ 1 (/ i n)) n) 1)
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))
(pow (+ 1 (/ i n)) n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
1
#s(literal 1 binary64)
(/ i n)
(/.f64 i n)
i
n

localize204.0ms (1.2%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
✓accuracy86.3%
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
✓accuracy74.7%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓accuracy38.0%
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
Results
179.0ms208×1valid
6.0ms44×0valid
3.0ms4×2valid
Compiler

Compiled 59 to 11 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 165.0ms
ival-pow: 125.0ms (75.5% of total)
ival-div: 27.0ms (16.3% of total)
backward-pass: 5.0ms (3% of total)
ival-sub: 3.0ms (1.8% of total)
ival-add: 3.0ms (1.8% of total)
ival-mult: 3.0ms (1.8% of total)
const: 1.0ms (0.6% of total)

series40.0ms (0.2%)

Counts
4 → 96
Calls
Call 1
Inputs
#<alt (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))>
#<alt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))>
#<alt (- (pow (+ 1 (/ i n)) n) 1)>
#<alt (pow (+ 1 (/ i n)) n)>
Outputs
#<alt (* 100 n)>
#<alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))>
#<alt (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))>
#<alt (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))>
#<alt (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)>
#<alt (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)>
#<alt (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)>
#<alt (* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))>
#<alt (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))>
#<alt (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i))>
#<alt (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i))>
#<alt (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))>
#<alt (* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))>
#<alt (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))>
#<alt (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))>
#<alt (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))>
#<alt (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))>
#<alt n>
#<alt (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)>
#<alt (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i)>
#<alt (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)>
#<alt (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)>
#<alt (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)>
#<alt (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))>
#<alt (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i))) i))>
#<alt (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) i)) (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i))>
#<alt (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)>
#<alt (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))>
#<alt (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))>
#<alt (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))>
#<alt (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))>
#<alt (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))>
#<alt (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))>
#<alt (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))>
#<alt i>
#<alt (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))>
#<alt (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))>
#<alt (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)>
#<alt (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)>
#<alt (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)>
#<alt (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1)>
#<alt (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)>
#<alt (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) 1)>
#<alt (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) 1)>
#<alt (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) 1)>
#<alt (* n (+ (log i) (* -1 (log n))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))>
#<alt (- (exp i) 1)>
#<alt (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)>
#<alt (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)>
#<alt (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)>
#<alt (- (exp i) 1)>
#<alt (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)>
#<alt (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)>
#<alt (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)>
#<alt 1>
#<alt (+ 1 i)>
#<alt (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))>
#<alt (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))>
#<alt (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))>
#<alt 1>
#<alt (+ 1 (* n (+ (log i) (* -1 (log n)))))>
#<alt (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))>
#<alt (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))>
#<alt (exp i)>
#<alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))>
#<alt (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))>
#<alt (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))>
#<alt (exp i)>
#<alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))>
#<alt (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))>
#<alt (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))>
Calls

24 calls:

TimeVariablePointExpression
21.0ms
n
@inf
(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
3.0ms
n
@0
(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
2.0ms
i
@inf
(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
2.0ms
i
@-inf
(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
1.0ms
i
@0
(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))

rewrite289.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
3886×*-lowering-*.f32
3886×*-lowering-*.f64
3406×/-lowering-/.f32
3406×/-lowering-/.f64
1166×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01044
16738
258938
3782138
0825238
Stop Event
1×iter limit
1×node limit
Counts
4 → 390
Calls
Call 1
Inputs
(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
(- (pow (+ 1 (/ i n)) n) 1)
(pow (+ 1 (/ i n)) n)
Outputs
(+.f64 (*.f64 #s(literal 100 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i n))) (*.f64 #s(literal 100 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n i))))
(+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i n)) #s(literal 100 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 n i)) #s(literal 100 binary64)))
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i n)) #s(literal 100 binary64)))
(neg.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i n))))
(neg.f64 (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i)) n))
(neg.f64 (/.f64 (+.f64 #s(literal -100 binary64) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (-.f64 #s(literal 0 binary64) (/.f64 i n))))
(neg.f64 (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (/.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 i n) #s(literal 100 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 i n) #s(literal 100 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 #s(literal 100 binary64) i))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 #s(literal 100 binary64) (/.f64 i n))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 i n) #s(literal 100 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -100 binary64) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (/.f64 i n))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (-.f64 #s(literal 0 binary64) (/.f64 i n)))
(/.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
(/.f64 #s(literal -100 binary64) (/.f64 i (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) n)))
(/.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(/.f64 (*.f64 #s(literal 100 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))))) (/.f64 n i)))
(/.f64 (*.f64 #s(literal 100 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 n i)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 #s(literal 100 binary64) i)) (/.f64 #s(literal 1 binary64) n))
(/.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i)) (/.f64 #s(literal -1 binary64) n))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (/.f64 i n))
(/.f64 (*.f64 (+.f64 #s(literal -100 binary64) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) n) i)
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))) (/.f64 (/.f64 i n) (/.f64 n i)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) (/.f64 (/.f64 i n) (/.f64 (/.f64 n i) (/.f64 i n)))) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i))))) (+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) (/.f64 (/.f64 n i) (/.f64 i n))) (*.f64 (/.f64 n i) (*.f64 (/.f64 n i) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) (/.f64 (/.f64 n i) (/.f64 i n))) (/.f64 (/.f64 n i) (/.f64 i n)))) (*.f64 (/.f64 n i) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(/.f64 (*.f64 #s(literal 100 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 i n))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 100 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 i n))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
(/.f64 (*.f64 (+.f64 #s(literal -100 binary64) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (-.f64 #s(literal 0 binary64) n)) (-.f64 #s(literal 0 binary64) i))
(/.f64 (*.f64 (+.f64 #s(literal -100 binary64) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 i n)))
(/.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) n))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 100 binary64) (/.f64 i n))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 100 binary64) (/.f64 i n))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 100 binary64) (/.f64 i n))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 100 binary64) (/.f64 i n))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 100 binary64) (/.f64 i n))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(/.f64 (*.f64 (*.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) #s(literal 100 binary64)) (/.f64 (/.f64 i n) (/.f64 n i)))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) (/.f64 (/.f64 i n) (/.f64 (/.f64 n i) (/.f64 i n)))) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i)))) #s(literal 100 binary64)) (+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) (/.f64 (/.f64 n i) (/.f64 i n))) (*.f64 (/.f64 n i) (*.f64 (/.f64 n i) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) (/.f64 (/.f64 n i) (/.f64 i n))) (/.f64 (/.f64 n i) (/.f64 i n))) #s(literal 100 binary64)) (*.f64 (/.f64 n i) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 i n)) #s(literal 100 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))))))
(/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 i n)) #s(literal 100 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
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(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64)))) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 (*.f64 n #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64)))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
(exp.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n)))) (/.f64 n #s(literal 2 binary64))))
(exp.f64 (*.f64 (/.f64 (log1p.f64 (/.f64 i n)) (/.f64 #s(literal 2 binary64) n)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (/.f64 (log1p.f64 (/.f64 i n)) (/.f64 #s(literal 2 binary64) n)) (/.f64 (log1p.f64 (/.f64 i n)) (/.f64 #s(literal 2 binary64) n))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n))) (/.f64 n #s(literal 2 binary64)))
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 4 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (/.f64 (/.f64 n i) (/.f64 i n)))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 i n) #s(literal -1 binary64)) (/.f64 n i)))) n))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (/.f64 n i))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) n))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 4 binary64))))

simplify328.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
5802×*-lowering-*.f32
5802×*-lowering-*.f64
3236×+-lowering-+.f64
3236×+-lowering-+.f32
1600×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05153610
117473198
266693175
088743175
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* 100 n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i))
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i))) i))
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) i)) (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i))
(/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))
(/ (* n (- (exp i) 1)) i)
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))
(/ (* n (- (exp i) 1)) i)
(* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))
(* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1)
(- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) 1)
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) 1)
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) 1)
(* n (+ (log i) (* -1 (log n))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))
(- (exp i) 1)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)
(- (exp i) 1)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
1
(+ 1 i)
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))
1
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
Outputs
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 n i))))))
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/4 binary64) n))) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n i))))))))
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 n (-.f64 #s(literal 0 binary64) n)) (pow.f64 i n)))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/.f64 (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 n (-.f64 #s(literal 0 binary64) n)) (pow.f64 i n)))) (*.f64 (*.f64 (pow.f64 n (-.f64 #s(literal 0 binary64) n)) (pow.f64 i n)) (/.f64 (*.f64 n (*.f64 n n)) i)))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/.f64 (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 (*.f64 (pow.f64 n (-.f64 #s(literal 0 binary64) n)) (pow.f64 i n)) (/.f64 (*.f64 n (*.f64 n n)) i)) (*.f64 n (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 n (-.f64 #s(literal 0 binary64) n)) (pow.f64 i n))) (*.f64 (*.f64 (pow.f64 n (-.f64 #s(literal 0 binary64) n)) (pow.f64 i n)) (/.f64 (+.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i))))))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(/.f64 (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 (*.f64 (pow.f64 n (-.f64 #s(literal 0 binary64) n)) (pow.f64 i n)) (+.f64 (/.f64 (+.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64))))) (*.f64 i (*.f64 i i))))))) (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 n (-.f64 #s(literal 0 binary64) n)) (pow.f64 i n)))) (*.f64 (*.f64 (pow.f64 n (-.f64 #s(literal 0 binary64) n)) (pow.f64 i n)) (/.f64 (*.f64 n (*.f64 n n)) i))))) i)
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (pow.f64 (/.f64 #s(literal -1 binary64) i) (-.f64 #s(literal 0 binary64) n))))) i)
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
(/.f64 (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (pow.f64 (/.f64 #s(literal -1 binary64) i) (-.f64 #s(literal 0 binary64) n))))) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (pow.f64 (/.f64 #s(literal -1 binary64) i) (-.f64 #s(literal 0 binary64) n))) (/.f64 (*.f64 n (*.f64 n n)) i)))) i)
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (pow.f64 (/.f64 #s(literal -1 binary64) i) (-.f64 #s(literal 0 binary64) n)))) (*.f64 n #s(literal -100 binary64))) (/.f64 (*.f64 #s(literal -100 binary64) (+.f64 (*.f64 (*.f64 n (*.f64 n n)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (pow.f64 (/.f64 #s(literal -1 binary64) i) (-.f64 #s(literal 0 binary64) n)))) (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (pow.f64 (/.f64 #s(literal -1 binary64) i) (-.f64 #s(literal 0 binary64) n)))) (/.f64 n i)))) i)) (neg.f64 i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (pow.f64 (/.f64 #s(literal -1 binary64) i) (-.f64 #s(literal 0 binary64) n)))) (*.f64 n #s(literal -100 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (pow.f64 (/.f64 #s(literal -1 binary64) i) (-.f64 #s(literal 0 binary64) n))) (*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 n n)))) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (+.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (pow.f64 (/.f64 #s(literal -1 binary64) i) (-.f64 #s(literal 0 binary64) n)))) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (pow.f64 (/.f64 #s(literal -1 binary64) i) (-.f64 #s(literal 0 binary64) n))) (+.f64 (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64)) (+.f64 (*.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64))))))) i)) i)) i)) (neg.f64 i))
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))
(*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (+.f64 (*.f64 n (+.f64 (*.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) i)) (/.f64 #s(literal 1 binary64) (*.f64 i i)))) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))
(*.f64 n (*.f64 n (+.f64 (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (log.f64 i) (log.f64 n))) i) (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 (*.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) i)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) (*.f64 n (+.f64 (-.f64 (+.f64 (*.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) i)) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (/.f64 (log.f64 n) i) i)) (/.f64 #s(literal -1/2 binary64) (*.f64 i (*.f64 i i))))))))))))
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))
(*.f64 (*.f64 n n) (+.f64 (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (log.f64 i) (log.f64 n))) i) (*.f64 n (+.f64 (+.f64 (/.f64 #s(literal 100 binary64) (*.f64 i i)) (*.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) #s(literal 50 binary64))) (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 (+.f64 (-.f64 (+.f64 (*.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) i)) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (/.f64 (log.f64 n) i) i)) (/.f64 #s(literal -1/2 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n (+.f64 (*.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (/.f64 #s(literal -1/2 binary64) i)) (+.f64 (*.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 4 binary64)) (/.f64 #s(literal 1/24 binary64) i)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 i (*.f64 i i))) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) i)) i) (/.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 4 binary64))))))))))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))
(*.f64 n (+.f64 (*.f64 i (*.f64 (/.f64 (exp.f64 i) n) #s(literal -50 binary64))) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))
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(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))
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(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))
(+.f64 (exp.f64 i) (+.f64 (*.f64 (*.f64 i i) (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64))) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))))) (*.f64 n n))))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))
(+.f64 (+.f64 (exp.f64 i) (*.f64 (*.f64 i i) (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)))) (*.f64 (exp.f64 i) (+.f64 (/.f64 (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n)) (/.f64 (+.f64 (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)))) (*.f64 n (*.f64 n n))))))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+.f64 (exp.f64 i) (*.f64 (*.f64 i i) (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64))))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(-.f64 (exp.f64 i) (/.f64 (-.f64 (*.f64 (*.f64 i i) (*.f64 (exp.f64 i) #s(literal 1/2 binary64))) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))))) n)) n))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(-.f64 (exp.f64 i) (/.f64 (-.f64 (*.f64 (*.f64 i i) (*.f64 (exp.f64 i) #s(literal 1/2 binary64))) (/.f64 (-.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))))) (*.f64 (+.f64 (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) (/.f64 (exp.f64 i) n))) n)) n))

eval63.0ms (0.4%)

Compiler

Compiled 16180 to 1868 computations (88.5% saved)

prune129.0ms (0.7%)

Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New46224486
Fresh000
Picked011
Done000
Total46225487
Accuracy
99.9%
Counts
487 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.4%
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)
71.7%
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
29.0%
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
▶49.1%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/4 binary64) n))) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n i))))))))
13.2%
(*.f64 (*.f64 n n) (+.f64 (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (log.f64 i) (log.f64 n))) i) (*.f64 n (+.f64 (+.f64 (/.f64 #s(literal 100 binary64) (*.f64 i i)) (*.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) #s(literal 50 binary64))) (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 (+.f64 (-.f64 (+.f64 (*.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) i)) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (/.f64 (log.f64 n) i) i)) (/.f64 #s(literal -1/2 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n (+.f64 (*.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (/.f64 #s(literal -1/2 binary64) i)) (+.f64 (*.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 4 binary64)) (/.f64 #s(literal 1/24 binary64) i)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 i (*.f64 i i))) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) i)) i) (/.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 4 binary64))))))))))))))
9.8%
(*.f64 n (*.f64 n (+.f64 (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (log.f64 i) (log.f64 n))) i) (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 (*.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) i)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) (*.f64 n (+.f64 (-.f64 (+.f64 (*.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) i)) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (/.f64 (log.f64 n) i) i)) (/.f64 #s(literal -1/2 binary64) (*.f64 i (*.f64 i i))))))))))))
✓29.0%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
14.4%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
12.9%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))) #s(literal 1 binary64)) (/.f64 i n)))
▶12.8%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64)) (/.f64 i n)))
25.0%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 i n) n)))
▶21.6%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
28.3%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) i) (*.f64 (/.f64 #s(literal 1 binary64) n) n)) (/.f64 i n)))
16.6%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
71.8%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
36.9%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) (/.f64 i n)))
35.6%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 (*.f64 i (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 i (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/4 binary64) n))) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) (/.f64 i n)))
39.4%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))) (/.f64 i n)))
▶78.6%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
38.8%
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
50.4%
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 i (+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 n i))))))
49.1%
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 i (+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 i (+.f64 (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/4 binary64) n))) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n i))))))))
50.5%
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))
10.2%
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
▶44.9%
(*.f64 #s(literal 100 binary64) n)
Compiler

Compiled 1481 to 872 computations (41.1% saved)

simplify198.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n))
✓cost-diff512
(-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i)))
✓cost-diff896
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n))
✓cost-diff896
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
✓cost-diff384
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/4 binary64) n))) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n i)))))
✓cost-diff640
(+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/4 binary64) n))) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n i))))))
✓cost-diff640
(*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/4 binary64) n))) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n i)))))))
✓cost-diff640
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/4 binary64) n))) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n i))))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))
✓cost-diff256
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
✓cost-diff256
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64)) (/.f64 i n))
✓cost-diff256
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64)) (/.f64 i n)))
✓cost-diff0
(*.f64 #s(literal 100 binary64) n)
✓cost-diff0
(*.f64 n (log1p.f64 (/.f64 i n)))
✓cost-diff6208
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
✓cost-diff6208
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
✓cost-diff6208
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
Rules
3940×+-lowering-+.f64
3940×+-lowering-+.f32
2852×*-lowering-*.f32
2852×*-lowering-*.f64
1898×sum5-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061665
1200626
2691600
32847556
08231556
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 100 (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (/ i n)))
100
(/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (/ i n))
(- (exp (* n (log (+ 1 (/ i n))))) 1)
(* n (log (+ 1 (/ i n))))
n
(log (+ 1 (/ i n)))
(/ i n)
i
(* 100 n)
100
n
(* 100 (/ (- (+ 1 (* i (+ 1 (* i (+ 1/2 (/ -1/2 n)))))) 1) (/ i n)))
100
(/ (- (+ 1 (* i (+ 1 (* i (+ 1/2 (/ -1/2 n)))))) 1) (/ i n))
(- (+ 1 (* i (+ 1 (* i (+ 1/2 (/ -1/2 n)))))) 1)
(+ 1 (* i (+ 1 (* i (+ 1/2 (/ -1/2 n))))))
1
(* i (+ 1 (* i (+ 1/2 (/ -1/2 n)))))
i
(+ 1 (* i (+ 1/2 (/ -1/2 n))))
(* i (+ 1/2 (/ -1/2 n)))
(+ 1/2 (/ -1/2 n))
1/2
(/ -1/2 n)
-1/2
n
(/ i n)
(+ (* 100 n) (* i (+ (* 100 (* n (+ 1/2 (/ -1/2 n)))) (* i (* 100 (+ (* n (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (* (- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n)))) (* n i))))))))
(* 100 n)
100
n
(* i (+ (* 100 (* n (+ 1/2 (/ -1/2 n)))) (* i (* 100 (+ (* n (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (* (- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n)))) (* n i)))))))
i
(+ (* 100 (* n (+ 1/2 (/ -1/2 n)))) (* i (* 100 (+ (* n (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (* (- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n)))) (* n i))))))
(* 100 (* n (+ 1/2 (/ -1/2 n))))
(* n (+ 1/2 (/ -1/2 n)))
(+ 1/2 (/ -1/2 n))
1/2
(/ -1/2 n)
-1/2
(* i (* 100 (+ (* n (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (* (- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n)))) (* n i)))))
(* 100 (+ (* n (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (* (- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n)))) (* n i))))
(+ (* n (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (* (- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n)))) (* n i)))
(* n (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n))))
(+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))
(/ 1/3 (* n n))
1/3
(* n n)
(+ 1/6 (/ -1/2 n))
1/6
(* (- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n)))) (* n i))
(- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n))))
(+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n)))
(/ 11/24 (* n n))
11/24
(- 1/24 (/ 1/4 n))
1/24
(/ 1/4 n)
1/4
(/ 1/4 (* n (* n n)))
(* n (* n n))
(* n i)
(* 100 (/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)))
100
(/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n))
(- (* (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i)))
(* (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n))
(/ (pow (+ 1 (/ i n)) n) i)
(pow (+ 1 (/ i n)) n)
(+ 1 (/ i n))
1
(/ i n)
i
n
(/ 1 n)
(* (/ 1 n) (/ 1 i))
(/ 1 i)
(/ (/ 1 n) n)
Outputs
(* 100 (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (/ i n)))
(/.f64 (+.f64 #s(literal -100 binary64) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (/.f64 i n))
100
#s(literal 100 binary64)
(/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (/ i n))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 i n))
(- (exp (* n (log (+ 1 (/ i n))))) 1)
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))
(* n (log (+ 1 (/ i n))))
(*.f64 n (log1p.f64 (/.f64 i n)))
n
(log (+ 1 (/ i n)))
(log1p.f64 (/.f64 i n))
(/ i n)
(/.f64 i n)
i
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
100
#s(literal 100 binary64)
n
(* 100 (/ (- (+ 1 (* i (+ 1 (* i (+ 1/2 (/ -1/2 n)))))) 1) (/ i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) (/.f64 i n))
100
#s(literal 100 binary64)
(/ (- (+ 1 (* i (+ 1 (* i (+ 1/2 (/ -1/2 n)))))) 1) (/ i n))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (/.f64 i (/.f64 i n)))
(- (+ 1 (* i (+ 1 (* i (+ 1/2 (/ -1/2 n)))))) 1)
(*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))
(+ 1 (* i (+ 1 (* i (+ 1/2 (/ -1/2 n))))))
(+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))
1
#s(literal 1 binary64)
(* i (+ 1 (* i (+ 1/2 (/ -1/2 n)))))
(*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))
i
(+ 1 (* i (+ 1/2 (/ -1/2 n))))
(+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))
(* i (+ 1/2 (/ -1/2 n)))
(*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))
(+ 1/2 (/ -1/2 n))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))
1/2
#s(literal 1/2 binary64)
(/ -1/2 n)
(/.f64 #s(literal -1/2 binary64) n)
-1/2
#s(literal -1/2 binary64)
n
(/ i n)
(/.f64 i n)
(+ (* 100 n) (* i (+ (* 100 (* n (+ 1/2 (/ -1/2 n)))) (* i (* 100 (+ (* n (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (* (- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n)))) (* n i))))))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (+.f64 (*.f64 n #s(literal 50 binary64)) #s(literal -50 binary64)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal -1/2 binary64)) (*.f64 n (+.f64 #s(literal 1/6 binary64) (*.f64 i (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n n)) n))))))) (*.f64 #s(literal 100 binary64) i)))))
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
100
#s(literal 100 binary64)
n
(* i (+ (* 100 (* n (+ 1/2 (/ -1/2 n)))) (* i (* 100 (+ (* n (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (* (- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n)))) (* n i)))))))
(*.f64 i (+.f64 (+.f64 (*.f64 n #s(literal 50 binary64)) #s(literal -50 binary64)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal -1/2 binary64)) (*.f64 n (+.f64 #s(literal 1/6 binary64) (*.f64 i (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n n)) n))))))) (*.f64 #s(literal 100 binary64) i))))
i
(+ (* 100 (* n (+ 1/2 (/ -1/2 n)))) (* i (* 100 (+ (* n (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (* (- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n)))) (* n i))))))
(+.f64 (+.f64 (*.f64 n #s(literal 50 binary64)) #s(literal -50 binary64)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal -1/2 binary64)) (*.f64 n (+.f64 #s(literal 1/6 binary64) (*.f64 i (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n n)) n))))))) (*.f64 #s(literal 100 binary64) i)))
(* 100 (* n (+ 1/2 (/ -1/2 n))))
(+.f64 (*.f64 n #s(literal 50 binary64)) #s(literal -50 binary64))
(* n (+ 1/2 (/ -1/2 n)))
(+.f64 #s(literal -1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))
(+ 1/2 (/ -1/2 n))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))
1/2
#s(literal 1/2 binary64)
(/ -1/2 n)
(/.f64 #s(literal -1/2 binary64) n)
-1/2
#s(literal -1/2 binary64)
(* i (* 100 (+ (* n (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (* (- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n)))) (* n i)))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal -1/2 binary64)) (*.f64 n (+.f64 #s(literal 1/6 binary64) (*.f64 i (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n n)) n))))))) (*.f64 #s(literal 100 binary64) i))
(* 100 (+ (* n (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (* (- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n)))) (* n i))))
(*.f64 #s(literal 100 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal -1/2 binary64)) (*.f64 n (+.f64 #s(literal 1/6 binary64) (*.f64 i (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n n)) n))))))))
(+ (* n (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (* (- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n)))) (* n i)))
(+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal -1/2 binary64)) (*.f64 n (+.f64 #s(literal 1/6 binary64) (*.f64 i (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n n)) n)))))))
(* n (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n))))
(+.f64 (*.f64 n #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal -1/2 binary64)))
(+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))
(+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/6 binary64)))
(/ 1/3 (* n n))
(/.f64 (/.f64 #s(literal 1/3 binary64) n) n)
1/3
#s(literal 1/3 binary64)
(* n n)
(*.f64 n n)
(+ 1/6 (/ -1/2 n))
(+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* (- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n)))) (* n i))
(+.f64 (+.f64 (*.f64 (*.f64 n i) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))) (*.f64 (/.f64 i n) (/.f64 #s(literal -1/4 binary64) n))) (*.f64 #s(literal 11/24 binary64) (/.f64 i n)))
(- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n))))
(+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n n)) n)))
(+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n)))
(+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)))
(/ 11/24 (* n n))
(/.f64 #s(literal 11/24 binary64) (*.f64 n n))
11/24
#s(literal 11/24 binary64)
(- 1/24 (/ 1/4 n))
(+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))
1/24
#s(literal 1/24 binary64)
(/ 1/4 n)
(/.f64 #s(literal 1/4 binary64) n)
1/4
#s(literal 1/4 binary64)
(/ 1/4 (* n (* n n)))
(/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))
(* n (* n n))
(*.f64 n (*.f64 n n))
(* n i)
(*.f64 n i)
(* 100 (/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)))
(/.f64 (+.f64 #s(literal -100 binary64) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (/.f64 i n))
100
#s(literal 100 binary64)
(/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 i n))
(- (* (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i)))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (*.f64 n i))
(* (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 n i))
(/ (pow (+ 1 (/ i n)) n) i)
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)
(pow (+ 1 (/ i n)) n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
1
#s(literal 1 binary64)
(/ i n)
(/.f64 i n)
i
n
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(* (/ 1 n) (/ 1 i))
(/.f64 #s(literal 1 binary64) (*.f64 n i))
(/ 1 i)
(/.f64 #s(literal 1 binary64) i)
(/ (/ 1 n) n)
(/.f64 #s(literal 1 binary64) (*.f64 n n))

localize793.0ms (4.5%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))
✓accuracy75.6%
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n))
✓accuracy74.7%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓accuracy41.2%
(-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i)))
✓accuracy98.0%
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/4 binary64) n))) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n i)))))
✓accuracy92.2%
(-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/4 binary64) n))) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))
✓accuracy86.0%
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/4 binary64) n))) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n i))
✓accuracy84.7%
(*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))))
✓accuracy99.9%
(*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))
✓accuracy99.8%
(*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))
✓accuracy76.5%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64)) (/.f64 i n))
✓accuracy61.2%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 #s(literal 100 binary64) n)
✓accuracy99.9%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
✓accuracy92.4%
(log1p.f64 (/.f64 i n))
✓accuracy89.6%
(*.f64 n (log1p.f64 (/.f64 i n)))
✓accuracy89.5%
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
Results
225.0ms116×1valid
200.0ms80×2valid
84.0ms24×0valid
63.0ms11×5exit
60.0ms14×3valid
10.0ms11×0invalid
Compiler

Compiled 736 to 61 computations (91.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 507.0ms
ival-mult: 118.0ms (23.3% of total)
ival-pow: 81.0ms (16% of total)
compiled-spec: 64.0ms (12.6% of total)
ival-div: 64.0ms (12.6% of total)
backward-pass: 46.0ms (9.1% of total)
ival-add: 35.0ms (6.9% of total)
...c/correct-round.rkt:119:19: 35.0ms (6.9% of total)
ival-log: 22.0ms (4.3% of total)
ival-exp: 20.0ms (3.9% of total)
ival-sub: 19.0ms (3.8% of total)
const: 3.0ms (0.6% of total)

series79.0ms (0.5%)

Counts
25 → 564
Calls
Call 1
Inputs
#<alt (* 100 (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (/ i n)))>
#<alt (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (/ i n))>
#<alt (- (exp (* n (log (+ 1 (/ i n))))) 1)>
#<alt (* n (log (+ 1 (/ i n))))>
#<alt (* 100 n)>
#<alt (* 100 (/ (- (+ 1 (* i (+ 1 (* i (+ 1/2 (/ -1/2 n)))))) 1) (/ i n)))>
#<alt (/ (- (+ 1 (* i (+ 1 (* i (+ 1/2 (/ -1/2 n)))))) 1) (/ i n))>
#<alt (- (+ 1 (* i (+ 1 (* i (+ 1/2 (/ -1/2 n)))))) 1)>
#<alt (+ 1 (* i (+ 1 (* i (+ 1/2 (/ -1/2 n))))))>
#<alt (+ (* 100 n) (* i (+ (* 100 (* n (+ 1/2 (/ -1/2 n)))) (* i (* 100 (+ (* n (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (* (- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n)))) (* n i))))))))>
#<alt (* i (+ (* 100 (* n (+ 1/2 (/ -1/2 n)))) (* i (* 100 (+ (* n (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (* (- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n)))) (* n i)))))))>
#<alt (+ (* 100 (* n (+ 1/2 (/ -1/2 n)))) (* i (* 100 (+ (* n (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (* (- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n)))) (* n i))))))>
#<alt (* i (* 100 (+ (* n (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (* (- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n)))) (* n i)))))>
#<alt (* 100 (/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)))>
#<alt (/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n))>
#<alt (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i)))>
#<alt (* (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n))>
#<alt (log (+ 1 (/ i n)))>
#<alt (* i (+ 1/2 (/ -1/2 n)))>
#<alt (* i (+ 1 (* i (+ 1/2 (/ -1/2 n)))))>
#<alt (* n (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n))))>
#<alt (* (- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n)))) (* n i))>
#<alt (- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n))))>
#<alt (pow (+ 1 (/ i n)) n)>
#<alt (* (/ 1 n) (/ 1 i))>
Outputs
#<alt (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))>
#<alt (* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))>
#<alt (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))>
#<alt (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))>
#<alt (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))>
#<alt (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))>
#<alt (* 100 n)>
#<alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))>
#<alt (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))>
#<alt (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))>
#<alt (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)>
#<alt (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)>
#<alt (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)>
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#<alt i>
#<alt (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (* (pow i 2) (- 1/2 (* 1/2 (/ 1 n))))>
#<alt (* (pow i 2) (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))>
#<alt (* (pow i 2) (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))>
#<alt (* (pow i 2) (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))>
#<alt (* (pow i 2) (- 1/2 (* 1/2 (/ 1 n))))>
#<alt (* (pow i 2) (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))>
#<alt (* (pow i 2) (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))>
#<alt (* (pow i 2) (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))>
#<alt (* -1/2 (/ (pow i 2) n))>
#<alt (/ (+ (* -1/2 (pow i 2)) (* i (* n (+ 1 (* 1/2 i))))) n)>
#<alt (/ (+ (* -1/2 (pow i 2)) (* i (* n (+ 1 (* 1/2 i))))) n)>
#<alt (/ (+ (* -1/2 (pow i 2)) (* i (* n (+ 1 (* 1/2 i))))) n)>
#<alt (* i (+ 1 (* 1/2 i)))>
#<alt (+ (* -1/2 (/ (pow i 2) n)) (* i (+ 1 (* 1/2 i))))>
#<alt (+ (* -1/2 (/ (pow i 2) n)) (* i (+ 1 (* 1/2 i))))>
#<alt (+ (* -1/2 (/ (pow i 2) n)) (* i (+ 1 (* 1/2 i))))>
#<alt (* i (+ 1 (* 1/2 i)))>
#<alt (+ (* -1/2 (/ (pow i 2) n)) (* i (+ 1 (* 1/2 i))))>
#<alt (+ (* -1/2 (/ (pow i 2) n)) (* i (+ 1 (* 1/2 i))))>
#<alt (+ (* -1/2 (/ (pow i 2) n)) (* i (+ 1 (* 1/2 i))))>
#<alt (/ 1/3 n)>
#<alt (/ (+ 1/3 (* -1/2 n)) n)>
#<alt (/ (+ 1/3 (* n (- (* 1/6 n) 1/2))) n)>
#<alt (/ (+ 1/3 (* n (- (* 1/6 n) 1/2))) n)>
#<alt (* 1/6 n)>
#<alt (* n (- 1/6 (* 1/2 (/ 1 n))))>
#<alt (* n (- (+ 1/6 (/ 1/3 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* n (- (+ 1/6 (/ 1/3 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* 1/6 n)>
#<alt (* -1 (* n (- (* 1/2 (/ 1 n)) 1/6)))>
#<alt (* -1 (* n (- (* -1 (/ (- (* 1/3 (/ 1 n)) 1/2) n)) 1/6)))>
#<alt (* -1 (* n (- (* -1 (/ (- (* 1/3 (/ 1 n)) 1/2) n)) 1/6)))>
#<alt (* -1/4 (/ i (pow n 2)))>
#<alt (/ (+ (* -1/4 i) (* 11/24 (* i n))) (pow n 2))>
#<alt (/ (+ (* -1/4 i) (* n (+ (* -1/4 (* i n)) (* 11/24 i)))) (pow n 2))>
#<alt (/ (+ (* -1/4 i) (* n (+ (* 11/24 i) (* n (+ (* -1/4 i) (* 1/24 (* i n))))))) (pow n 2))>
#<alt (* 1/24 (* i n))>
#<alt (* n (+ (* -1/4 (/ i n)) (* 1/24 i)))>
#<alt (* n (+ (* -1/4 (/ i n)) (+ (* 1/24 i) (* 11/24 (/ i (pow n 2))))))>
#<alt (* n (+ (* -1/4 (/ i n)) (+ (* -1/4 (/ i (pow n 3))) (+ (* 1/24 i) (* 11/24 (/ i (pow n 2)))))))>
#<alt (* 1/24 (* i n))>
#<alt (* -1 (* n (+ (* -1/24 i) (* 1/4 (/ i n)))))>
#<alt (* -1 (* n (+ (* -1 (/ (+ (* -1/4 i) (* 11/24 (/ i n))) n)) (* -1/24 i))))>
#<alt (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -11/24 i) (* 1/4 (/ i n))) n)) (* -1/4 i)) n)) (* -1/24 i))))>
#<alt (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))>
#<alt (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))>
#<alt (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))>
#<alt (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))>
#<alt (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))>
#<alt (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))>
#<alt (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))>
#<alt (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))>
#<alt (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))>
#<alt (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))>
#<alt (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))>
#<alt (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))>
#<alt (/ -1/4 (pow n 3))>
#<alt (/ (- (* 11/24 n) 1/4) (pow n 3))>
#<alt (/ (- (* n (+ 11/24 (* -1/4 n))) 1/4) (pow n 3))>
#<alt (/ (- (* n (+ 11/24 (* n (- (* 1/24 n) 1/4)))) 1/4) (pow n 3))>
#<alt 1/24>
#<alt (- 1/24 (* 1/4 (/ 1 n)))>
#<alt (- (+ 1/24 (/ 11/24 (pow n 2))) (* 1/4 (/ 1 n)))>
#<alt (- (+ 1/24 (/ 11/24 (pow n 2))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))>
#<alt 1/24>
#<alt (- 1/24 (* 1/4 (/ 1 n)))>
#<alt (+ 1/24 (* -1 (/ (- 1/4 (* 11/24 (/ 1 n))) n)))>
#<alt (+ 1/24 (* -1 (/ (+ 1/4 (* -1 (/ (- 11/24 (* 1/4 (/ 1 n))) n))) n)))>
#<alt 1>
#<alt (+ 1 i)>
#<alt (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))>
#<alt (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))>
#<alt (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))>
#<alt 1>
#<alt (+ 1 (* n (+ (log i) (* -1 (log n)))))>
#<alt (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))>
#<alt (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))>
#<alt (exp i)>
#<alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))>
#<alt (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))>
#<alt (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))>
#<alt (exp i)>
#<alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))>
#<alt (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))>
#<alt (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
#<alt (/ 1 (* i n))>
Calls

141 calls:

TimeVariablePointExpression
5.0ms
i
@0
(* 100 (/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)))
4.0ms
n
@-inf
(* 100 (/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)))
3.0ms
i
@inf
(* 100 (/ (- (+ 1 (* i (+ 1 (* i (+ 1/2 (/ -1/2 n)))))) 1) (/ i n)))
3.0ms
i
@inf
(* 100 (/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)))
1.0ms
i
@0
(* i (* 100 (+ (* n (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (* (- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n)))) (* n i)))))

rewrite364.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
3174×*-lowering-*.f32
3174×*-lowering-*.f64
2540×/-lowering-/.f32
2540×/-lowering-/.f64
1492×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061449
1473409
25508403
08130403
Stop Event
1×iter limit
1×node limit
Counts
25 → 508
Calls
Call 1
Inputs
(* 100 (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (/ i n)))
(/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (/ i n))
(- (exp (* n (log (+ 1 (/ i n))))) 1)
(* n (log (+ 1 (/ i n))))
(* 100 n)
(* 100 (/ (- (+ 1 (* i (+ 1 (* i (+ 1/2 (/ -1/2 n)))))) 1) (/ i n)))
(/ (- (+ 1 (* i (+ 1 (* i (+ 1/2 (/ -1/2 n)))))) 1) (/ i n))
(- (+ 1 (* i (+ 1 (* i (+ 1/2 (/ -1/2 n)))))) 1)
(+ 1 (* i (+ 1 (* i (+ 1/2 (/ -1/2 n))))))
(+ (* 100 n) (* i (+ (* 100 (* n (+ 1/2 (/ -1/2 n)))) (* i (* 100 (+ (* n (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (* (- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n)))) (* n i))))))))
(* i (+ (* 100 (* n (+ 1/2 (/ -1/2 n)))) (* i (* 100 (+ (* n (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (* (- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n)))) (* n i)))))))
(+ (* 100 (* n (+ 1/2 (/ -1/2 n)))) (* i (* 100 (+ (* n (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (* (- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n)))) (* n i))))))
(* i (* 100 (+ (* n (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (* (- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n)))) (* n i)))))
(* 100 (/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n)))
(/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i))) (/ (/ 1 n) n))
(- (* (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (* (/ 1 n) (/ 1 i)))
(* (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n))
(log (+ 1 (/ i n)))
(* i (+ 1/2 (/ -1/2 n)))
(* i (+ 1 (* i (+ 1/2 (/ -1/2 n)))))
(* n (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n))))
(* (- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n)))) (* n i))
(- (+ (/ 11/24 (* n n)) (- 1/24 (/ 1/4 n))) (/ 1/4 (* n (* n n))))
(pow (+ 1 (/ i n)) n)
(* (/ 1 n) (/ 1 i))
Outputs
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (+.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal -100 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal -100 binary64)) (/.f64 i n))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 i n)))
(/.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 1 binary64)) #s(literal 100 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 i n)))
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal -100 binary64)) i) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 i n)))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 i n)) #s(literal 100 binary64))
(*.f64 (+.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal -100 binary64)) (/.f64 n i))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i)) n)
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal -100 binary64)) i) n)
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal -100 binary64)) #s(literal 1 binary64)) (/.f64 n i))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal -100 binary64)) (-.f64 #s(literal 0 binary64) i)) (-.f64 #s(literal 0 binary64) n))
(+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i n)) (neg.f64 (/.f64 n i)))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i n)) (/.f64 n i))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i) (neg.f64 (/.f64 n i)))
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (neg.f64 (/.f64 n i)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64))) (/.f64 i n)) (neg.f64 (/.f64 n i)))
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64))) i) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (/.f64 n i)))
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (-.f64 #s(literal 0 binary64) i)) (-.f64 #s(literal 0 binary64) n) (neg.f64 (/.f64 n i)))
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 n i) (neg.f64 (/.f64 n i)))
(neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 i n))))
(neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 i n))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 i n)))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 #s(literal 2 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 #s(literal 2 binary64) n)) #s(literal -1 binary64)) (*.f64 (/.f64 i n) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) (/.f64 #s(literal 1 binary64) n))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i n)) (/.f64 i n)) (/.f64 i (*.f64 (/.f64 n i) n)))
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(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)))) (/.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 n n)) (*.f64 (*.f64 n n) (*.f64 n n))))) (neg.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal 121/576 binary64) (*.f64 (*.f64 n n) (*.f64 n n)))) (pow.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 121/576 binary64) (*.f64 (*.f64 n n) (*.f64 n n))) (-.f64 (*.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))))) (*.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))))))))
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))) (*.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))))) (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)))) (-.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))) (*.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))))))
(/.f64 (-.f64 (/.f64 #s(literal 121/576 binary64) (*.f64 (*.f64 n n) (*.f64 n n))) (*.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))))) (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))))) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))))
(*.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))) (*.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))))) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 n n)) (*.f64 (*.f64 n n) (*.f64 n n))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))))))
(*.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)))) (/.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 n n)) (*.f64 (*.f64 n n) (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))))
(exp.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(exp.f64 (*.f64 (log.f64 (exp.f64 n)) (log1p.f64 (/.f64 i n))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 (/.f64 n #s(literal 2 binary64)) (/.f64 n #s(literal 2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 #s(literal 2 binary64) (/.f64 n #s(literal 2 binary64))))
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n))) (/.f64 n #s(literal 2 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 i n))) n)
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 n) (/.f64 (log1p.f64 (/.f64 i n)) #s(literal 2 binary64))) (pow.f64 (exp.f64 n) (/.f64 (log1p.f64 (/.f64 i n)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 n i))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 #s(literal 0 binary64) i)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 #s(literal 0 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n i) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 i (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) i)))
(/.f64 (/.f64 #s(literal 1 binary64) n) i)
(/.f64 (/.f64 #s(literal 1 binary64) i) n)
(/.f64 (/.f64 #s(literal -1 binary64) i) (-.f64 #s(literal 0 binary64) n))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 n i)))
(/.f64 #s(literal -1 binary64) (*.f64 n (-.f64 #s(literal 0 binary64) i)))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) n) i))
(/.f64 #s(literal -1 binary64) (*.f64 i (-.f64 #s(literal 0 binary64) n)))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) i) n))
(/.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 #s(literal 0 binary64) i))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) i))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) n))
(pow.f64 (*.f64 n i) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n i)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))
(*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1 binary64) n))

simplify403.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
4894×*-lowering-*.f32
4894×*-lowering-*.f64
4620×+-lowering-+.f64
4620×+-lowering-+.f32
1388×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0137414178
1473413133
0815613133
Stop Event
1×iter limit
1×node limit
Counts
564 → 564
Calls
Call 1
Inputs
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))
(* 100 n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
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(* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))
(* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))
(* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))
(* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))
(* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))
(/ -1/4 (pow n 3))
(/ (- (* 11/24 n) 1/4) (pow n 3))
(/ (- (* n (+ 11/24 (* -1/4 n))) 1/4) (pow n 3))
(/ (- (* n (+ 11/24 (* n (- (* 1/24 n) 1/4)))) 1/4) (pow n 3))
1/24
(- 1/24 (* 1/4 (/ 1 n)))
(- (+ 1/24 (/ 11/24 (pow n 2))) (* 1/4 (/ 1 n)))
(- (+ 1/24 (/ 11/24 (pow n 2))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))
1/24
(- 1/24 (* 1/4 (/ 1 n)))
(+ 1/24 (* -1 (/ (- 1/4 (* 11/24 (/ 1 n))) n)))
(+ 1/24 (* -1 (/ (+ 1/4 (* -1 (/ (- 11/24 (* 1/4 (/ 1 n))) n))) n)))
1
(+ 1 i)
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))
1
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(/ 1 (* i n))
(/ 1 (* i n))
(/ 1 (* i n))
(/ 1 (* i n))
(/ 1 (* i n))
(/ 1 (* i n))
(/ 1 (* i n))
(/ 1 (* i n))
(/ 1 (* i n))
(/ 1 (* i n))
(/ 1 (* i n))
(/ 1 (* i n))
(/ 1 (* i n))
(/ 1 (* i n))
(/ 1 (* i n))
(/ 1 (* i n))
(/ 1 (* i n))
(/ 1 (* i n))
(/ 1 (* i n))
(/ 1 (* i n))
(/ 1 (* i n))
(/ 1 (* i n))
(/ 1 (* i n))
(/ 1 (* i n))
Outputs
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n)))) i)
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))
(*.f64 (*.f64 n n) (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64))) i) (/.f64 #s(literal 1 binary64) (*.f64 i i)))) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))
(*.f64 (*.f64 n n) (+.f64 (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (log.f64 i) (log.f64 n))) i) (*.f64 n (*.f64 #s(literal 100 binary64) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64))) i) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) (*.f64 n (+.f64 (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64))) i) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (log.f64 n) (*.f64 i i))) (/.f64 #s(literal -1/2 binary64) (*.f64 i (*.f64 i i)))))))))))
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))
(*.f64 (*.f64 n n) (+.f64 (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (log.f64 i) (log.f64 n))) i) (*.f64 n (+.f64 (*.f64 #s(literal 100 binary64) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64))) i) (/.f64 #s(literal 1 binary64) (*.f64 i i)))) (*.f64 n (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 4 binary64))) i) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 i (*.f64 i i)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64))) (*.f64 i i)))))) (+.f64 (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64))) i) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (log.f64 n) (*.f64 i i))) (/.f64 #s(literal -1/2 binary64) (*.f64 i (*.f64 i i)))))))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))
(*.f64 n (+.f64 (/.f64 (*.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i))) n) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))
(*.f64 n (+.f64 (/.f64 (*.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i))) n) (*.f64 #s(literal 100 binary64) (+.f64 (/.f64 (expm1.f64 i) i) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/3 binary64)))) (*.f64 (*.f64 n n) i))))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))
(*.f64 n (+.f64 (/.f64 (*.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i))) n) (*.f64 #s(literal 100 binary64) (+.f64 (/.f64 (expm1.f64 i) i) (*.f64 (/.f64 (exp.f64 i) i) (+.f64 (/.f64 (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (+.f64 (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)))) (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)))) (*.f64 n (*.f64 n n)))))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) i) (*.f64 (*.f64 i (/.f64 (exp.f64 i) n)) #s(literal 50 binary64))) (-.f64 #s(literal 0 binary64) n))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) i) (/.f64 (+.f64 (*.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i))) (*.f64 #s(literal 100 binary64) (*.f64 (exp.f64 i) (/.f64 (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/3 binary64))) (*.f64 n i))))) n)) (-.f64 #s(literal 0 binary64) n))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -100 binary64) (expm1.f64 i)) i) (/.f64 (-.f64 (*.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -100 binary64) (*.f64 (exp.f64 i) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/3 binary64))))) i) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (exp.f64 i) (+.f64 (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64))) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))))) (*.f64 n i))) n)) n)) (-.f64 #s(literal 0 binary64) n))
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 (*.f64 n i) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 (*.f64 n i) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))))))
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 i (*.f64 n (-.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))))))))))
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/.f64 (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/.f64 (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 n (*.f64 n n))) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i))))) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 n (*.f64 n n))) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64))))) (*.f64 i (*.f64 i i)))))) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i)))) i)
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))))))) i)
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
(/.f64 (*.f64 #s(literal -100 binary64) (+.f64 (*.f64 n (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i))) (-.f64 #s(literal 0 binary64) i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i))
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(* (pow i 3) (+ (* 100 (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (+ (* 100 (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) (pow i 2))) (* 100 (/ (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) i)))))
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(* (pow i 3) (+ (* 100 (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (+ (* 100 (/ n (pow i 3))) (+ (* 100 (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) (pow i 2))) (* 100 (/ (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) i))))))
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(* -1 (* (pow i 3) (+ (* -100 (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* -1 (/ (+ (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) i))) i)))))
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(* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))
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(* (pow i 3) (+ (* 100 (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (+ (* 100 (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) (pow i 2))) (* 100 (/ (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) i)))))
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(* -1 (* (pow i 3) (+ (* -100 (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* -1 (/ (+ (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) i))) i)))))
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(/ (- (* n (+ 11/24 (* n (- (* 1/24 n) 1/4)))) 1/4) (pow n 3))
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1/24
#s(literal 1/24 binary64)
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1/24
#s(literal 1/24 binary64)
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1
#s(literal 1 binary64)
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(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
(exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
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(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
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(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
(exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(+.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))
(-.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (neg.f64 (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (+.f64 (*.f64 n n) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 n (*.f64 n n))) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) i)))) i))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))
(-.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (-.f64 #s(literal 0 binary64) (*.f64 n n))) (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 n (*.f64 n n))) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (+.f64 (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)))))) i)) i)) i))
1
#s(literal 1 binary64)
(+ 1 (* n (+ (log i) (* -1 (log n)))))
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(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
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(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
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(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+.f64 (exp.f64 i) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n))))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))
(+.f64 (+.f64 (exp.f64 i) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)))) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/3 binary64)))) (*.f64 n n)))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))
(+.f64 (+.f64 (exp.f64 i) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)))) (*.f64 (exp.f64 i) (+.f64 (/.f64 (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (+.f64 (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)))) (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)))) (*.f64 n (*.f64 n n))))))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+.f64 (exp.f64 i) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n))))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(-.f64 (exp.f64 i) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (exp.f64 i)) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/3 binary64)))) n)) n))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
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(/ 1 (* i n))
(/.f64 #s(literal 1 binary64) (*.f64 n i))
(/ 1 (* i n))
(/.f64 #s(literal 1 binary64) (*.f64 n i))
(/ 1 (* i n))
(/.f64 #s(literal 1 binary64) (*.f64 n i))
(/ 1 (* i n))
(/.f64 #s(literal 1 binary64) (*.f64 n i))
(/ 1 (* i n))
(/.f64 #s(literal 1 binary64) (*.f64 n i))
(/ 1 (* i n))
(/.f64 #s(literal 1 binary64) (*.f64 n i))
(/ 1 (* i n))
(/.f64 #s(literal 1 binary64) (*.f64 n i))
(/ 1 (* i n))
(/.f64 #s(literal 1 binary64) (*.f64 n i))
(/ 1 (* i n))
(/.f64 #s(literal 1 binary64) (*.f64 n i))
(/ 1 (* i n))
(/.f64 #s(literal 1 binary64) (*.f64 n i))
(/ 1 (* i n))
(/.f64 #s(literal 1 binary64) (*.f64 n i))
(/ 1 (* i n))
(/.f64 #s(literal 1 binary64) (*.f64 n i))
(/ 1 (* i n))
(/.f64 #s(literal 1 binary64) (*.f64 n i))
(/ 1 (* i n))
(/.f64 #s(literal 1 binary64) (*.f64 n i))
(/ 1 (* i n))
(/.f64 #s(literal 1 binary64) (*.f64 n i))
(/ 1 (* i n))
(/.f64 #s(literal 1 binary64) (*.f64 n i))
(/ 1 (* i n))
(/.f64 #s(literal 1 binary64) (*.f64 n i))
(/ 1 (* i n))
(/.f64 #s(literal 1 binary64) (*.f64 n i))
(/ 1 (* i n))
(/.f64 #s(literal 1 binary64) (*.f64 n i))
(/ 1 (* i n))
(/.f64 #s(literal 1 binary64) (*.f64 n i))
(/ 1 (* i n))
(/.f64 #s(literal 1 binary64) (*.f64 n i))
(/ 1 (* i n))
(/.f64 #s(literal 1 binary64) (*.f64 n i))
(/ 1 (* i n))
(/.f64 #s(literal 1 binary64) (*.f64 n i))
(/ 1 (* i n))
(/.f64 #s(literal 1 binary64) (*.f64 n i))

eval156.0ms (0.9%)

Compiler

Compiled 47674 to 4371 computations (90.8% saved)

prune179.0ms (1%)

Pruning

54 alts after pruning (51 fresh and 3 done)

PrunedKeptTotal
New1046401086
Fresh81119
Picked325
Done011
Total1057541111
Accuracy
99.9%
Counts
1111 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.1%
(fma.f64 n #s(literal 100 binary64) (*.f64 i (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 (+.f64 (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/6 binary64)))) (*.f64 n (*.f64 i (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))))))) (*.f64 #s(literal 100 binary64) i)))))
52.7%
(/.f64 (/.f64 (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))) #s(literal 0 binary64))) i) (/.f64 #s(literal 1 binary64) n))
1.8%
(/.f64 (+.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 i i)) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 (*.f64 n i) (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))) #s(literal -50 binary64)))))) (*.f64 n n))
21.3%
(/.f64 (+.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 i i)) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 n (+.f64 (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))) #s(literal -50 binary64))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))))))) (*.f64 n n))
10.4%
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n)))) i)
71.7%
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
▶29.0%
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
56.1%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 (*.f64 n i) (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))))
40.2%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))))) (*.f64 n n))))
24.5%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 n (+.f64 (*.f64 n (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))) (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))) #s(literal -50 binary64))))))) (*.f64 n n))))
▶40.8%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))))) (*.f64 n n)))))
41.2%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (/.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 n n)))))
25.1%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 121/576 binary64) (*.f64 (*.f64 n n) (*.f64 n n))) (*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)))) (*.f64 n n)) (*.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))) (*.f64 n n))) (*.f64 n i))))))))
52.5%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 #s(literal 1/24 binary64) (*.f64 n i))))))))
56.1%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
51.0%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 (+.f64 (-.f64 (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 (*.f64 i #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -100 binary64) (*.f64 i (+.f64 (*.f64 i #s(literal -11/24 binary64)) #s(literal -1/3 binary64)))) n) (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))) #s(literal -50 binary64))) n)) #s(literal -50 binary64)) (-.f64 #s(literal 0 binary64) n))))
56.1%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 n (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
53.0%
(*.f64 (/.f64 (+.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))) #s(literal 0 binary64)) i) (*.f64 #s(literal 100 binary64) n))
12.0%
(*.f64 (*.f64 n n) (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64))) i) (/.f64 #s(literal 1 binary64) (*.f64 i i)))) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
14.1%
(*.f64 (*.f64 i (*.f64 i i)) (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))) (/.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) i)))))
10.4%
(*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i)))
▶76.3%
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
56.1%
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
▶36.2%
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 n i))))
▶2.8%
(*.f64 i #s(literal -50 binary64))
24.8%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) n)) i) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
13.6%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 n i)) n) (*.f64 n (*.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
5.6%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) (/.f64 i n)))
45.7%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
✓29.0%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
19.0%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 n i)) (/.f64 #s(literal 1 binary64) (*.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
4.9%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))) (*.f64 i (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))) (+.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))) #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 i n)))
7.3%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
13.4%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 n i)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
14.4%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
11.9%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 n i)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) n) (/.f64 #s(literal 1 binary64) (*.f64 n i)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) n) (/.f64 (/.f64 #s(literal 1 binary64) n) n))))
25.0%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 i n) n)))
21.0%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) i)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
28.3%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) i) (*.f64 (/.f64 #s(literal 1 binary64) n) n)) (/.f64 i n)))
18.1%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 i #s(literal 1 binary64)) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
16.6%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
9.9%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
71.8%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
35.6%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 (*.f64 i (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 i (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/4 binary64) n))) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) (/.f64 i n)))
41.4%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))) (/.f64 i n)))
18.8%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 i n)))
✓78.6%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
38.8%
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
50.4%
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 i (+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 n i))))))
50.5%
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))
50.4%
(*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 i n)) (*.f64 i #s(literal 1/2 binary64))))))
50.6%
(*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))))
36.2%
(*.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 n i))))
✓44.9%
(*.f64 #s(literal 100 binary64) n)
Compiler

Compiled 2885 to 1761 computations (39% saved)

simplify164.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))
✓cost-diff0
(/.f64 i n)
✓cost-diff0
(/.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))
✓cost-diff0
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
✓cost-diff256
(*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))
✓cost-diff512
(+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))))) (*.f64 n n)))
✓cost-diff512
(*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))))) (*.f64 n n))))
✓cost-diff512
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))))) (*.f64 n n)))))
✓cost-diff128
(*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))
✓cost-diff128
(+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 n i))
✓cost-diff256
(*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 n i)))
✓cost-diff256
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 n i))))
✓cost-diff0
(*.f64 i #s(literal -50 binary64))
✓cost-diff0
(expm1.f64 i)
✓cost-diff0
(/.f64 (expm1.f64 i) i)
✓cost-diff0
(*.f64 #s(literal 100 binary64) n)
✓cost-diff0
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
Rules
3260×*-lowering-*.f32
3260×*-lowering-*.f64
1896×sum3-define
1238×+-lowering-+.f64
1238×+-lowering-+.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
044346
1119338
2370333
31083290
42797288
53853287
67171287
08222287
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* 100 n) (/ (- (exp i) 1) i))
(* 100 n)
100
n
(/ (- (exp i) 1) i)
(- (exp i) 1)
i
(* i -50)
i
-50
(* i (* 100 (+ (* n (+ 1/2 (/ -1/2 n))) (/ n i))))
i
(* 100 (+ (* n (+ 1/2 (/ -1/2 n))) (/ n i)))
100
(+ (* n (+ 1/2 (/ -1/2 n))) (/ n i))
(* n (+ 1/2 (/ -1/2 n)))
n
(+ 1/2 (/ -1/2 n))
1/2
(/ -1/2 n)
-1/2
(/ n i)
(+ (* 100 n) (* i (+ (* 100 (* n (+ 1/2 (/ -1/2 n)))) (/ (+ (* (* i i) -25) (* (* 100 i) (* n (+ 1/3 (* i 11/24))))) (* n n)))))
(* 100 n)
100
n
(* i (+ (* 100 (* n (+ 1/2 (/ -1/2 n)))) (/ (+ (* (* i i) -25) (* (* 100 i) (* n (+ 1/3 (* i 11/24))))) (* n n))))
i
(+ (* 100 (* n (+ 1/2 (/ -1/2 n)))) (/ (+ (* (* i i) -25) (* (* 100 i) (* n (+ 1/3 (* i 11/24))))) (* n n)))
(* 100 (* n (+ 1/2 (/ -1/2 n))))
(* n (+ 1/2 (/ -1/2 n)))
(+ 1/2 (/ -1/2 n))
1/2
(/ -1/2 n)
-1/2
(/ (+ (* (* i i) -25) (* (* 100 i) (* n (+ 1/3 (* i 11/24))))) (* n n))
(+ (* (* i i) -25) (* (* 100 i) (* n (+ 1/3 (* i 11/24)))))
(* (* i i) -25)
(* i i)
-25
(* (* 100 i) (* n (+ 1/3 (* i 11/24))))
(* 100 i)
(* n (+ 1/3 (* i 11/24)))
(+ 1/3 (* i 11/24))
1/3
(* i 11/24)
11/24
(* n n)
(/ 100 (/ (/ i n) (+ (pow (+ 1 (/ i n)) n) -1)))
100
(/ (/ i n) (+ (pow (+ 1 (/ i n)) n) -1))
(/ i n)
i
n
(+ (pow (+ 1 (/ i n)) n) -1)
(pow (+ 1 (/ i n)) n)
(+ 1 (/ i n))
1
-1
Outputs
(* (* 100 n) (/ (- (exp i) 1) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
100
#s(literal 100 binary64)
n
(/ (- (exp i) 1) i)
(/.f64 (expm1.f64 i) i)
(- (exp i) 1)
(expm1.f64 i)
i
(* i -50)
(*.f64 i #s(literal -50 binary64))
i
-50
#s(literal -50 binary64)
(* i (* 100 (+ (* n (+ 1/2 (/ -1/2 n))) (/ n i))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 n #s(literal 50 binary64)) #s(literal -50 binary64))))
i
(* 100 (+ (* n (+ 1/2 (/ -1/2 n))) (/ n i)))
(+.f64 #s(literal -50 binary64) (*.f64 n (+.f64 (/.f64 #s(literal 100 binary64) i) #s(literal 50 binary64))))
100
#s(literal 100 binary64)
(+ (* n (+ 1/2 (/ -1/2 n))) (/ n i))
(+.f64 #s(literal -1/2 binary64) (*.f64 n (+.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1/2 binary64))))
(* n (+ 1/2 (/ -1/2 n)))
(+.f64 (*.f64 n #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
n
(+ 1/2 (/ -1/2 n))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))
1/2
#s(literal 1/2 binary64)
(/ -1/2 n)
(/.f64 #s(literal -1/2 binary64) n)
-1/2
#s(literal -1/2 binary64)
(/ n i)
(/.f64 n i)
(+ (* 100 n) (* i (+ (* 100 (* n (+ 1/2 (/ -1/2 n)))) (/ (+ (* (* i i) -25) (* (* 100 i) (* n (+ 1/3 (* i 11/24))))) (* n n)))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (+.f64 (*.f64 n #s(literal 50 binary64)) #s(literal -50 binary64)) (*.f64 (+.f64 (*.f64 i #s(literal -25 binary64)) (*.f64 n (+.f64 (*.f64 i #s(literal 275/6 binary64)) #s(literal 100/3 binary64)))) (/.f64 i (*.f64 n n))))))
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
100
#s(literal 100 binary64)
n
(* i (+ (* 100 (* n (+ 1/2 (/ -1/2 n)))) (/ (+ (* (* i i) -25) (* (* 100 i) (* n (+ 1/3 (* i 11/24))))) (* n n))))
(*.f64 i (+.f64 (+.f64 (*.f64 n #s(literal 50 binary64)) #s(literal -50 binary64)) (*.f64 (+.f64 (*.f64 i #s(literal -25 binary64)) (*.f64 n (+.f64 (*.f64 i #s(literal 275/6 binary64)) #s(literal 100/3 binary64)))) (/.f64 i (*.f64 n n)))))
i
(+ (* 100 (* n (+ 1/2 (/ -1/2 n)))) (/ (+ (* (* i i) -25) (* (* 100 i) (* n (+ 1/3 (* i 11/24))))) (* n n)))
(+.f64 (+.f64 (*.f64 n #s(literal 50 binary64)) #s(literal -50 binary64)) (*.f64 (+.f64 (*.f64 i #s(literal -25 binary64)) (*.f64 n (+.f64 (*.f64 i #s(literal 275/6 binary64)) #s(literal 100/3 binary64)))) (/.f64 i (*.f64 n n))))
(* 100 (* n (+ 1/2 (/ -1/2 n))))
(+.f64 (*.f64 n #s(literal 50 binary64)) #s(literal -50 binary64))
(* n (+ 1/2 (/ -1/2 n)))
(+.f64 (*.f64 n #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(+ 1/2 (/ -1/2 n))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))
1/2
#s(literal 1/2 binary64)
(/ -1/2 n)
(/.f64 #s(literal -1/2 binary64) n)
-1/2
#s(literal -1/2 binary64)
(/ (+ (* (* i i) -25) (* (* 100 i) (* n (+ 1/3 (* i 11/24))))) (* n n))
(*.f64 (+.f64 (*.f64 i #s(literal -25 binary64)) (*.f64 n (+.f64 (*.f64 i #s(literal 275/6 binary64)) #s(literal 100/3 binary64)))) (/.f64 i (*.f64 n n)))
(+ (* (* i i) -25) (* (* 100 i) (* n (+ 1/3 (* i 11/24)))))
(*.f64 i (+.f64 (*.f64 i #s(literal -25 binary64)) (*.f64 n (+.f64 (*.f64 i #s(literal 275/6 binary64)) #s(literal 100/3 binary64)))))
(* (* i i) -25)
(*.f64 (*.f64 i i) #s(literal -25 binary64))
(* i i)
(*.f64 i i)
-25
#s(literal -25 binary64)
(* (* 100 i) (* n (+ 1/3 (* i 11/24))))
(*.f64 (*.f64 n i) (+.f64 (*.f64 i #s(literal 275/6 binary64)) #s(literal 100/3 binary64)))
(* 100 i)
(*.f64 #s(literal 100 binary64) i)
(* n (+ 1/3 (* i 11/24)))
(*.f64 n (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))))
(+ 1/3 (* i 11/24))
(+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))
1/3
#s(literal 1/3 binary64)
(* i 11/24)
(*.f64 i #s(literal 11/24 binary64))
11/24
#s(literal 11/24 binary64)
(* n n)
(*.f64 n n)
(/ 100 (/ (/ i n) (+ (pow (+ 1 (/ i n)) n) -1)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
100
#s(literal 100 binary64)
(/ (/ i n) (+ (pow (+ 1 (/ i n)) n) -1))
(/.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))
(/ i n)
(/.f64 i n)
i
n
(+ (pow (+ 1 (/ i n)) n) -1)
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))
(pow (+ 1 (/ i n)) n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
1
#s(literal 1 binary64)
-1
#s(literal -1 binary64)

localize456.0ms (2.6%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
✓accuracy88.6%
(/.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))
✓accuracy83.4%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓accuracy46.1%
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))
✓accuracy99.6%
(*.f64 i #s(literal 11/24 binary64))
✓accuracy99.5%
(*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))))) (*.f64 n n))))
✓accuracy97.8%
(+.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))))))
✓accuracy79.4%
(/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))))) (*.f64 n n))
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))
✓accuracy99.9%
(*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 n i)))
✓accuracy99.9%
(*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))
✓accuracy87.9%
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 n i))))
✓accuracy100.0%
(*.f64 i #s(literal -50 binary64))
✓accuracy100.0%
(*.f64 #s(literal 100 binary64) n)
✓accuracy100.0%
(expm1.f64 i)
✓accuracy100.0%
(/.f64 (expm1.f64 i) i)
✓accuracy99.9%
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
Results
206.0ms168×1valid
134.0ms47×5exit
17.0ms8×1unsamplable
8.0ms19×0valid
7.0ms13×0unsamplable
2.0ms1×2valid
Compiler

Compiled 361 to 44 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 251.0ms
ival-pow: 62.0ms (24.7% of total)
ival-mult: 52.0ms (20.7% of total)
backward-pass: 33.0ms (13.1% of total)
ival-div: 28.0ms (11.1% of total)
...c/correct-round.rkt:119:19: 22.0ms (8.8% of total)
ival-add: 20.0ms (8% of total)
compiled-spec: 17.0ms (6.8% of total)
ival-exp: 11.0ms (4.4% of total)
const: 3.0ms (1.2% of total)
ival-sub: 3.0ms (1.2% of total)

series62.0ms (0.4%)

Counts
22 → 432
Calls
Call 1
Inputs
#<alt (* (* 100 n) (/ (- (exp i) 1) i))>
#<alt (* 100 n)>
#<alt (/ (- (exp i) 1) i)>
#<alt (- (exp i) 1)>
#<alt (* i -50)>
#<alt (* i (* 100 (+ (* n (+ 1/2 (/ -1/2 n))) (/ n i))))>
#<alt (* 100 (+ (* n (+ 1/2 (/ -1/2 n))) (/ n i)))>
#<alt (+ (* n (+ 1/2 (/ -1/2 n))) (/ n i))>
#<alt (* n (+ 1/2 (/ -1/2 n)))>
#<alt (+ (* 100 n) (* i (+ (* 100 (* n (+ 1/2 (/ -1/2 n)))) (/ (+ (* (* i i) -25) (* (* 100 i) (* n (+ 1/3 (* i 11/24))))) (* n n)))))>
#<alt (* i (+ (* 100 (* n (+ 1/2 (/ -1/2 n)))) (/ (+ (* (* i i) -25) (* (* 100 i) (* n (+ 1/3 (* i 11/24))))) (* n n))))>
#<alt (+ (* 100 (* n (+ 1/2 (/ -1/2 n)))) (/ (+ (* (* i i) -25) (* (* 100 i) (* n (+ 1/3 (* i 11/24))))) (* n n)))>
#<alt (* 100 (* n (+ 1/2 (/ -1/2 n))))>
#<alt (/ 100 (/ (/ i n) (+ (pow (+ 1 (/ i n)) n) -1)))>
#<alt (/ (/ i n) (+ (pow (+ 1 (/ i n)) n) -1))>
#<alt (/ i n)>
#<alt (+ (pow (+ 1 (/ i n)) n) -1)>
#<alt (+ 1/2 (/ -1/2 n))>
#<alt (/ (+ (* (* i i) -25) (* (* 100 i) (* n (+ 1/3 (* i 11/24))))) (* n n))>
#<alt (+ (* (* i i) -25) (* (* 100 i) (* n (+ 1/3 (* i 11/24)))))>
#<alt (* i 11/24)>
#<alt (pow (+ 1 (/ i n)) n)>
Outputs
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 n)>
#<alt (+ (* 50 (* i n)) (* 100 n))>
#<alt (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))>
#<alt (+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 n)>
#<alt (* 100 n)>
#<alt (* 100 n)>
#<alt (* 100 n)>
#<alt (* 100 n)>
#<alt (* 100 n)>
#<alt (* 100 n)>
#<alt (* 100 n)>
#<alt (* 100 n)>
#<alt (* 100 n)>
#<alt (* 100 n)>
#<alt (* 100 n)>
#<alt 1>
#<alt (+ 1 (* 1/2 i))>
#<alt (+ 1 (* i (+ 1/2 (* 1/6 i))))>
#<alt (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))>
#<alt (/ (- (exp i) 1) i)>
#<alt (/ (- (exp i) 1) i)>
#<alt (/ (- (exp i) 1) i)>
#<alt (/ (- (exp i) 1) i)>
#<alt (/ (- (exp i) 1) i)>
#<alt (/ (- (exp i) 1) i)>
#<alt (/ (- (exp i) 1) i)>
#<alt (/ (- (exp i) 1) i)>
#<alt i>
#<alt (* i (+ 1 (* 1/2 i)))>
#<alt (* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))>
#<alt (* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (* -50 i)>
#<alt (* -50 i)>
#<alt (* -50 i)>
#<alt (* -50 i)>
#<alt (* -50 i)>
#<alt (* -50 i)>
#<alt (* -50 i)>
#<alt (* -50 i)>
#<alt (* -50 i)>
#<alt (* -50 i)>
#<alt (* -50 i)>
#<alt (* -50 i)>
#<alt (* 100 n)>
#<alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i))))>
#<alt (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i))))>
#<alt (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i))))>
#<alt (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (* -1 (* i (+ (* -100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -100 (/ n i)))))>
#<alt (* -1 (* i (+ (* -100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -100 (/ n i)))))>
#<alt (* -1 (* i (+ (* -100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -100 (/ n i)))))>
#<alt (* -50 i)>
#<alt (+ (* -50 i) (* 100 (* i (* n (+ 1/2 (/ 1 i))))))>
#<alt (+ (* -50 i) (* 100 (* i (* n (+ 1/2 (/ 1 i))))))>
#<alt (+ (* -50 i) (* 100 (* i (* n (+ 1/2 (/ 1 i))))))>
#<alt (* 100 (* i (* n (+ 1/2 (/ 1 i)))))>
#<alt (* n (+ (* -50 (/ i n)) (* 100 (* i (+ 1/2 (/ 1 i))))))>
#<alt (* n (+ (* -50 (/ i n)) (* 100 (* i (+ 1/2 (/ 1 i))))))>
#<alt (* n (+ (* -50 (/ i n)) (* 100 (* i (+ 1/2 (/ 1 i))))))>
#<alt (* 100 (* i (* n (+ 1/2 (/ 1 i)))))>
#<alt (* -1 (* n (+ (* -100 (* i (+ 1/2 (/ 1 i)))) (* 50 (/ i n)))))>
#<alt (* -1 (* n (+ (* -100 (* i (+ 1/2 (/ 1 i)))) (* 50 (/ i n)))))>
#<alt (* -1 (* n (+ (* -100 (* i (+ 1/2 (/ 1 i)))) (* 50 (/ i n)))))>
#<alt -50>
#<alt (- (* 100 (* n (+ 1/2 (/ 1 i)))) 50)>
#<alt (- (* 100 (* n (+ 1/2 (/ 1 i)))) 50)>
#<alt (- (* 100 (* n (+ 1/2 (/ 1 i)))) 50)>
#<alt (* 100 (* n (+ 1/2 (/ 1 i))))>
#<alt (* n (- (* 100 (+ 1/2 (/ 1 i))) (* 50 (/ 1 n))))>
#<alt (* n (- (* 100 (+ 1/2 (/ 1 i))) (* 50 (/ 1 n))))>
#<alt (* n (- (* 100 (+ 1/2 (/ 1 i))) (* 50 (/ 1 n))))>
#<alt (* 100 (* n (+ 1/2 (/ 1 i))))>
#<alt (* -1 (* n (+ (* -100 (+ 1/2 (/ 1 i))) (* 50 (/ 1 n)))))>
#<alt (* -1 (* n (+ (* -100 (+ 1/2 (/ 1 i))) (* 50 (/ 1 n)))))>
#<alt (* -1 (* n (+ (* -100 (+ 1/2 (/ 1 i))) (* 50 (/ 1 n)))))>
#<alt (* 100 (/ n i))>
#<alt (/ (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) i)>
#<alt (/ (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) i)>
#<alt (/ (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) i)>
#<alt (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))>
#<alt (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i)))>
#<alt (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i)))>
#<alt (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i)))>
#<alt (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))>
#<alt (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i)))>
#<alt (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i)))>
#<alt (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i)))>
#<alt -1/2>
#<alt (- (* n (+ 1/2 (/ 1 i))) 1/2)>
#<alt (- (* n (+ 1/2 (/ 1 i))) 1/2)>
#<alt (- (* n (+ 1/2 (/ 1 i))) 1/2)>
#<alt (* n (+ 1/2 (/ 1 i)))>
#<alt (* n (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))>
#<alt (* n (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))>
#<alt (* n (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))>
#<alt (* n (+ 1/2 (/ 1 i)))>
#<alt (* -1 (* n (- (* 1/2 (/ 1 n)) (+ 1/2 (/ 1 i)))))>
#<alt (* -1 (* n (- (* 1/2 (/ 1 n)) (+ 1/2 (/ 1 i)))))>
#<alt (* -1 (* n (- (* 1/2 (/ 1 n)) (+ 1/2 (/ 1 i)))))>
#<alt (/ n i)>
#<alt (/ (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) i)>
#<alt (/ (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) i)>
#<alt (/ (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) i)>
#<alt (* n (- 1/2 (* 1/2 (/ 1 n))))>
#<alt (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i))>
#<alt (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i))>
#<alt (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i))>
#<alt (* n (- 1/2 (* 1/2 (/ 1 n))))>
#<alt (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i))>
#<alt (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i))>
#<alt (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i))>
#<alt -1/2>
#<alt (- (* 1/2 n) 1/2)>
#<alt (- (* 1/2 n) 1/2)>
#<alt (- (* 1/2 n) 1/2)>
#<alt (* 1/2 n)>
#<alt (* n (- 1/2 (* 1/2 (/ 1 n))))>
#<alt (* n (- 1/2 (* 1/2 (/ 1 n))))>
#<alt (* n (- 1/2 (* 1/2 (/ 1 n))))>
#<alt (* 1/2 n)>
#<alt (* -1 (* n (- (* 1/2 (/ 1 n)) 1/2)))>
#<alt (* -1 (* n (- (* 1/2 (/ 1 n)) 1/2)))>
#<alt (* -1 (* n (- (* 1/2 (/ 1 n)) 1/2)))>
#<alt (* -25 (/ (pow i 3) (pow n 2)))>
#<alt (/ (+ (* -25 (pow i 3)) (* 100 (* (pow i 2) (* n (+ 1/3 (* 11/24 i)))))) (pow n 2))>
#<alt (/ (+ (* -25 (pow i 3)) (* n (+ (* -50 (* i n)) (* 100 (* (pow i 2) (+ 1/3 (* 11/24 i))))))) (pow n 2))>
#<alt (/ (+ (* -25 (pow i 3)) (* n (+ (* 100 (* (pow i 2) (+ 1/3 (* 11/24 i)))) (* n (+ (* -50 i) (* n (+ 100 (* 50 i)))))))) (pow n 2))>
#<alt (* n (+ 100 (* 50 i)))>
#<alt (* n (+ 100 (+ (* -50 (/ i n)) (* 50 i))))>
#<alt (* n (+ 100 (+ (* -50 (/ i n)) (+ (* 50 i) (* 100 (/ (* (pow i 2) (+ 1/3 (* 11/24 i))) (pow n 2)))))))>
#<alt (* n (+ 100 (+ (* -50 (/ i n)) (+ (* -25 (/ (pow i 3) (pow n 3))) (+ (* 50 i) (* 100 (/ (* (pow i 2) (+ 1/3 (* 11/24 i))) (pow n 2))))))))>
#<alt (* -1 (* n (- (* -50 i) 100)))>
#<alt (* -1 (* n (- (+ (* -50 i) (* 50 (/ i n))) 100)))>
#<alt (* -1 (* n (- (+ (* -50 i) (* -1 (/ (+ (* -50 i) (* 100 (/ (* (pow i 2) (+ 1/3 (* 11/24 i))) n))) n))) 100)))>
#<alt (* -1 (* n (- (+ (* -50 i) (* -1 (/ (+ (* -50 i) (* -1 (/ (+ (* -100 (* (pow i 2) (+ 1/3 (* 11/24 i)))) (* 25 (/ (pow i 3) n))) n))) n))) 100)))>
#<alt (* 100 n)>
#<alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ (* 100 n) (* i (+ (* 100/3 (/ i n)) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))>
#<alt (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* i (- (* 275/6 (/ 1 n)) (* 25 (/ 1 (pow n 2))))) (* 100/3 (/ 1 n)))))))>
#<alt (* (pow i 3) (- (* 275/6 (/ 1 n)) (* 25 (/ 1 (pow n 2)))))>
#<alt (* (pow i 3) (- (+ (* 275/6 (/ 1 n)) (* 100/3 (/ 1 (* i n)))) (* 25 (/ 1 (pow n 2)))))>
#<alt (* (pow i 3) (- (+ (* 275/6 (/ 1 n)) (+ (* 100 (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) (pow i 2))) (/ 100/3 (* i n)))) (* 25 (/ 1 (pow n 2)))))>
#<alt (* (pow i 3) (- (+ (* 275/6 (/ 1 n)) (+ (* 100 (/ n (pow i 3))) (+ (* 100 (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) (pow i 2))) (/ 100/3 (* i n))))) (* 25 (/ 1 (pow n 2)))))>
#<alt (* (pow i 3) (- (* 275/6 (/ 1 n)) (* 25 (/ 1 (pow n 2)))))>
#<alt (* -1 (* (pow i 3) (- (* -1 (- (* 275/6 (/ 1 n)) (* 25 (/ 1 (pow n 2))))) (* 100/3 (/ 1 (* i n))))))>
#<alt (* -1 (* (pow i 3) (+ (* -1 (- (* 275/6 (/ 1 n)) (* 25 (/ 1 (pow n 2))))) (* -1 (/ (+ (* 100 (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) i)) (* 100/3 (/ 1 n))) i)))))>
#<alt (* -1 (* (pow i 3) (+ (* -1 (- (* 275/6 (/ 1 n)) (* 25 (/ 1 (pow n 2))))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -100 (/ n i))) i)) (* 100/3 (/ 1 n))) i)))))>
#<alt (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (* i (+ (* 100/3 (/ i n)) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* i (- (* 275/6 (/ 1 n)) (* 25 (/ 1 (pow n 2))))) (* 100/3 (/ 1 n))))))>
#<alt (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* i (- (* 275/6 (/ 1 n)) (* 25 (/ 1 (pow n 2))))) (* 100/3 (/ 1 n))))))>
#<alt (* (pow i 3) (- (* 275/6 (/ 1 n)) (* 25 (/ 1 (pow n 2)))))>
#<alt (* (pow i 3) (- (+ (* 275/6 (/ 1 n)) (* 100/3 (/ 1 (* i n)))) (* 25 (/ 1 (pow n 2)))))>
#<alt (* (pow i 3) (- (+ (* 275/6 (/ 1 n)) (+ (* 100 (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) (pow i 2))) (/ 100/3 (* i n)))) (* 25 (/ 1 (pow n 2)))))>
#<alt (* (pow i 3) (- (+ (* 275/6 (/ 1 n)) (+ (* 100 (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) (pow i 2))) (/ 100/3 (* i n)))) (* 25 (/ 1 (pow n 2)))))>
#<alt (* (pow i 3) (- (* 275/6 (/ 1 n)) (* 25 (/ 1 (pow n 2)))))>
#<alt (* -1 (* (pow i 3) (- (* -1 (- (* 275/6 (/ 1 n)) (* 25 (/ 1 (pow n 2))))) (* 100/3 (/ 1 (* i n))))))>
#<alt (* -1 (* (pow i 3) (+ (* -1 (- (* 275/6 (/ 1 n)) (* 25 (/ 1 (pow n 2))))) (* -1 (/ (+ (* 100 (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) i)) (* 100/3 (/ 1 n))) i)))))>
#<alt (* -1 (* (pow i 3) (+ (* -1 (- (* 275/6 (/ 1 n)) (* 25 (/ 1 (pow n 2))))) (* -1 (/ (+ (* 100 (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) i)) (* 100/3 (/ 1 n))) i)))))>
#<alt (* -25 (/ (pow i 3) (pow n 2)))>
#<alt (/ (+ (* -25 (pow i 3)) (* 100 (* (pow i 2) (* n (+ 1/3 (* 11/24 i)))))) (pow n 2))>
#<alt (/ (+ (* -25 (pow i 3)) (* n (+ (* -50 (* i n)) (* 100 (* (pow i 2) (+ 1/3 (* 11/24 i))))))) (pow n 2))>
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#<alt (/ i n)>
#<alt (/ i n)>
#<alt (/ i n)>
#<alt (/ i n)>
#<alt (/ i n)>
#<alt (/ i n)>
#<alt (/ i n)>
#<alt (/ i n)>
#<alt (/ i n)>
#<alt (/ i n)>
#<alt (/ i n)>
#<alt (/ i n)>
#<alt (/ i n)>
#<alt (/ i n)>
#<alt i>
#<alt (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))>
#<alt (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))>
#<alt (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)>
#<alt (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)>
#<alt (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)>
#<alt (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1)>
#<alt (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)>
#<alt (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) 1)>
#<alt (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) 1)>
#<alt (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) 1)>
#<alt (* n (+ (log i) (* -1 (log n))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))>
#<alt (- (exp i) 1)>
#<alt (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)>
#<alt (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)>
#<alt (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)>
#<alt (- (exp i) 1)>
#<alt (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)>
#<alt (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)>
#<alt (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)>
#<alt (/ -1/2 n)>
#<alt (/ (- (* 1/2 n) 1/2) n)>
#<alt (/ (- (* 1/2 n) 1/2) n)>
#<alt (/ (- (* 1/2 n) 1/2) n)>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 n)))>
#<alt (- 1/2 (* 1/2 (/ 1 n)))>
#<alt (- 1/2 (* 1/2 (/ 1 n)))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 n)))>
#<alt (- 1/2 (* 1/2 (/ 1 n)))>
#<alt (- 1/2 (* 1/2 (/ 1 n)))>
#<alt (* 100/3 (/ i n))>
#<alt (* i (+ (* i (- (* 275/6 (/ 1 n)) (* 25 (/ 1 (pow n 2))))) (* 100/3 (/ 1 n))))>
#<alt (* i (+ (* i (- (* 275/6 (/ 1 n)) (* 25 (/ 1 (pow n 2))))) (* 100/3 (/ 1 n))))>
#<alt (* i (+ (* i (- (* 275/6 (/ 1 n)) (* 25 (/ 1 (pow n 2))))) (* 100/3 (/ 1 n))))>
#<alt (/ (* (pow i 2) (- (* 275/6 n) 25)) (pow n 2))>
#<alt (* (pow i 2) (- (+ (* 100/3 (/ 1 (* i n))) (/ 275/6 n)) (* 25 (/ 1 (pow n 2)))))>
#<alt (* (pow i 2) (- (+ (* 100/3 (/ 1 (* i n))) (/ 275/6 n)) (* 25 (/ 1 (pow n 2)))))>
#<alt (* (pow i 2) (- (+ (* 100/3 (/ 1 (* i n))) (/ 275/6 n)) (* 25 (/ 1 (pow n 2)))))>
#<alt (/ (* (pow i 2) (- (* 275/6 n) 25)) (pow n 2))>
#<alt (* (pow i 2) (- (+ (* 100/3 (/ 1 (* i n))) (/ 275/6 n)) (* 25 (/ 1 (pow n 2)))))>
#<alt (* (pow i 2) (- (+ (* 100/3 (/ 1 (* i n))) (/ 275/6 n)) (* 25 (/ 1 (pow n 2)))))>
#<alt (* (pow i 2) (- (+ (* 100/3 (/ 1 (* i n))) (/ 275/6 n)) (* 25 (/ 1 (pow n 2)))))>
#<alt (* -25 (/ (pow i 2) (pow n 2)))>
#<alt (/ (+ (* -25 (pow i 2)) (* 100 (* i (* n (+ 1/3 (* 11/24 i)))))) (pow n 2))>
#<alt (/ (+ (* -25 (pow i 2)) (* 100 (* i (* n (+ 1/3 (* 11/24 i)))))) (pow n 2))>
#<alt (/ (+ (* -25 (pow i 2)) (* 100 (* i (* n (+ 1/3 (* 11/24 i)))))) (pow n 2))>
#<alt (* 100 (/ (* i (+ 1/3 (* 11/24 i))) n))>
#<alt (/ (+ (* -25 (/ (pow i 2) n)) (* 100 (* i (+ 1/3 (* 11/24 i))))) n)>
#<alt (/ (+ (* -25 (/ (pow i 2) n)) (* 100 (* i (+ 1/3 (* 11/24 i))))) n)>
#<alt (/ (+ (* -25 (/ (pow i 2) n)) (* 100 (* i (+ 1/3 (* 11/24 i))))) n)>
#<alt (* 100 (/ (* i (+ 1/3 (* 11/24 i))) n))>
#<alt (* -1 (/ (+ (* -100 (* i (+ 1/3 (* 11/24 i)))) (* 25 (/ (pow i 2) n))) n))>
#<alt (* -1 (/ (+ (* -100 (* i (+ 1/3 (* 11/24 i)))) (* 25 (/ (pow i 2) n))) n))>
#<alt (* -1 (/ (+ (* -100 (* i (+ 1/3 (* 11/24 i)))) (* 25 (/ (pow i 2) n))) n))>
#<alt (* 100/3 (* i n))>
#<alt (* i (+ (* 100/3 n) (* i (- (* 275/6 n) 25))))>
#<alt (* i (+ (* 100/3 n) (* i (- (* 275/6 n) 25))))>
#<alt (* i (+ (* 100/3 n) (* i (- (* 275/6 n) 25))))>
#<alt (* (pow i 2) (- (* 275/6 n) 25))>
#<alt (* (pow i 2) (- (+ (* 100/3 (/ n i)) (* 275/6 n)) 25))>
#<alt (* (pow i 2) (- (+ (* 100/3 (/ n i)) (* 275/6 n)) 25))>
#<alt (* (pow i 2) (- (+ (* 100/3 (/ n i)) (* 275/6 n)) 25))>
#<alt (* (pow i 2) (- (* 275/6 n) 25))>
#<alt (* (pow i 2) (- (+ (* 100/3 (/ n i)) (* 275/6 n)) 25))>
#<alt (* (pow i 2) (- (+ (* 100/3 (/ n i)) (* 275/6 n)) 25))>
#<alt (* (pow i 2) (- (+ (* 100/3 (/ n i)) (* 275/6 n)) 25))>
#<alt (* -25 (pow i 2))>
#<alt (+ (* -25 (pow i 2)) (* 100 (* i (* n (+ 1/3 (* 11/24 i))))))>
#<alt (+ (* -25 (pow i 2)) (* 100 (* i (* n (+ 1/3 (* 11/24 i))))))>
#<alt (+ (* -25 (pow i 2)) (* 100 (* i (* n (+ 1/3 (* 11/24 i))))))>
#<alt (* 100 (* i (* n (+ 1/3 (* 11/24 i)))))>
#<alt (* n (+ (* -25 (/ (pow i 2) n)) (* 100 (* i (+ 1/3 (* 11/24 i))))))>
#<alt (* n (+ (* -25 (/ (pow i 2) n)) (* 100 (* i (+ 1/3 (* 11/24 i))))))>
#<alt (* n (+ (* -25 (/ (pow i 2) n)) (* 100 (* i (+ 1/3 (* 11/24 i))))))>
#<alt (* 100 (* i (* n (+ 1/3 (* 11/24 i)))))>
#<alt (* -1 (* n (+ (* -100 (* i (+ 1/3 (* 11/24 i)))) (* 25 (/ (pow i 2) n)))))>
#<alt (* -1 (* n (+ (* -100 (* i (+ 1/3 (* 11/24 i)))) (* 25 (/ (pow i 2) n)))))>
#<alt (* -1 (* n (+ (* -100 (* i (+ 1/3 (* 11/24 i)))) (* 25 (/ (pow i 2) n)))))>
#<alt (* 11/24 i)>
#<alt (* 11/24 i)>
#<alt (* 11/24 i)>
#<alt (* 11/24 i)>
#<alt (* 11/24 i)>
#<alt (* 11/24 i)>
#<alt (* 11/24 i)>
#<alt (* 11/24 i)>
#<alt (* 11/24 i)>
#<alt (* 11/24 i)>
#<alt (* 11/24 i)>
#<alt (* 11/24 i)>
#<alt 1>
#<alt (+ 1 i)>
#<alt (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))>
#<alt (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))>
#<alt (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))>
#<alt 1>
#<alt (+ 1 (* n (+ (log i) (* -1 (log n)))))>
#<alt (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))>
#<alt (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))>
#<alt (exp i)>
#<alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))>
#<alt (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))>
#<alt (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))>
#<alt (exp i)>
#<alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))>
#<alt (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))>
#<alt (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))>
Calls

108 calls:

TimeVariablePointExpression
12.0ms
n
@0
(/ (+ (* (* i i) -25) (* (* 100 i) (* n (+ 1/3 (* i 11/24))))) (* n n))
9.0ms
i
@inf
(* i (+ (* 100 (* n (+ 1/2 (/ -1/2 n)))) (/ (+ (* (* i i) -25) (* (* 100 i) (* n (+ 1/3 (* i 11/24))))) (* n n))))
2.0ms
i
@-inf
(/ (/ i n) (+ (pow (+ 1 (/ i n)) n) -1))
2.0ms
i
@inf
(/ (/ i n) (+ (pow (+ 1 (/ i n)) n) -1))
1.0ms
n
@0
(/ (/ i n) (+ (pow (+ 1 (/ i n)) n) -1))

rewrite688.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
5864×*-lowering-*.f32
5864×*-lowering-*.f64
3356×/-lowering-/.f32
3356×/-lowering-/.f64
2552×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044257
1280252
22734225
010265225
Stop Event
1×iter limit
1×node limit
Counts
22 → 730
Calls
Call 1
Inputs
(* (* 100 n) (/ (- (exp i) 1) i))
(* 100 n)
(/ (- (exp i) 1) i)
(- (exp i) 1)
(* i -50)
(* i (* 100 (+ (* n (+ 1/2 (/ -1/2 n))) (/ n i))))
(* 100 (+ (* n (+ 1/2 (/ -1/2 n))) (/ n i)))
(+ (* n (+ 1/2 (/ -1/2 n))) (/ n i))
(* n (+ 1/2 (/ -1/2 n)))
(+ (* 100 n) (* i (+ (* 100 (* n (+ 1/2 (/ -1/2 n)))) (/ (+ (* (* i i) -25) (* (* 100 i) (* n (+ 1/3 (* i 11/24))))) (* n n)))))
(* i (+ (* 100 (* n (+ 1/2 (/ -1/2 n)))) (/ (+ (* (* i i) -25) (* (* 100 i) (* n (+ 1/3 (* i 11/24))))) (* n n))))
(+ (* 100 (* n (+ 1/2 (/ -1/2 n)))) (/ (+ (* (* i i) -25) (* (* 100 i) (* n (+ 1/3 (* i 11/24))))) (* n n)))
(* 100 (* n (+ 1/2 (/ -1/2 n))))
(/ 100 (/ (/ i n) (+ (pow (+ 1 (/ i n)) n) -1)))
(/ (/ i n) (+ (pow (+ 1 (/ i n)) n) -1))
(/ i n)
(+ (pow (+ 1 (/ i n)) n) -1)
(+ 1/2 (/ -1/2 n))
(/ (+ (* (* i i) -25) (* (* 100 i) (* n (+ 1/3 (* i 11/24))))) (* n n))
(+ (* (* i i) -25) (* (* 100 i) (* n (+ 1/3 (* i 11/24)))))
(* i 11/24)
(pow (+ 1 (/ i n)) n)
Outputs
(/.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 i (expm1.f64 i)))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 i))))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 i)) i)
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 i))) (-.f64 #s(literal 0 binary64) i))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) #s(literal 1 binary64)) (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 #s(literal 0 binary64) (expm1.f64 i))) (-.f64 #s(literal 0 binary64) i))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) n)) (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) (-.f64 #s(literal 0 binary64) i))
(pow.f64 (/.f64 i (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 i))) #s(literal -1 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 n (/.f64 i (expm1.f64 i))))
(*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 #s(literal 100 binary64) n)))
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) #s(literal 100 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(*.f64 #s(literal 100 binary64) n)
(*.f64 n #s(literal 100 binary64))
(+.f64 (/.f64 (exp.f64 i) i) (neg.f64 (/.f64 #s(literal 1 binary64) i)))
(exp.f64 (*.f64 (log.f64 (/.f64 i (expm1.f64 i))) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i))
(fma.f64 (exp.f64 i) (/.f64 #s(literal 1 binary64) i) (neg.f64 (/.f64 #s(literal 1 binary64) i)))
(neg.f64 (/.f64 (expm1.f64 i) (-.f64 #s(literal 0 binary64) i)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 i)) i))
(/.f64 #s(literal 1 binary64) (/.f64 i (expm1.f64 i)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (expm1.f64 i)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 i) i)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (expm1.f64 i))))
(/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 i)) (-.f64 #s(literal 0 binary64) i))
(/.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (*.f64 i (+.f64 (exp.f64 (*.f64 i #s(literal 2 binary64))) (+.f64 (exp.f64 i) #s(literal 1 binary64)))))
(/.f64 (+.f64 (exp.f64 (*.f64 i #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 i (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (exp.f64 i) i) (*.f64 i #s(literal 1 binary64))) (*.f64 i i))
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 i #s(literal 2 binary64))) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 i #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 i))) (neg.f64 (-.f64 #s(literal 0 binary64) i)))
(/.f64 (-.f64 (/.f64 (exp.f64 (*.f64 i #s(literal 3 binary64))) (*.f64 i (*.f64 i i))) (/.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i i)))) (+.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1 binary64) i)) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1 binary64) i))) (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i)))
(/.f64 (*.f64 (expm1.f64 i) #s(literal 1 binary64)) i)
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) i)) (+.f64 (exp.f64 (*.f64 i #s(literal 2 binary64))) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 i #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) i)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
(/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) i))
(pow.f64 (/.f64 i (expm1.f64 i)) #s(literal -1 binary64))
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(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 i) i))
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(/.f64 (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -15625 binary64))) (*.f64 (*.f64 (*.f64 n (*.f64 n n)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1000000 binary64))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))))))) (+.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 625 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (*.f64 i (*.f64 #s(literal 100 binary64) n))) (-.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (*.f64 i (*.f64 #s(literal 100 binary64) n))) (*.f64 (*.f64 i i) #s(literal -25 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -15625 binary64))) (*.f64 (*.f64 (*.f64 n (*.f64 n n)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1000000 binary64))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))))))) (+.f64 (*.f64 #s(literal 10000 binary64) (*.f64 (*.f64 (*.f64 i n) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 (*.f64 i n) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 625 binary64)) (*.f64 i (*.f64 (*.f64 i #s(literal -25 binary64)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (*.f64 i (*.f64 #s(literal 100 binary64) n))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 625 binary64)) (*.f64 #s(literal 10000 binary64) (*.f64 (*.f64 (*.f64 i n) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 (*.f64 i n) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))))))) (-.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (*.f64 i (*.f64 #s(literal 100 binary64) n)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -15625 binary64))) (*.f64 (*.f64 (*.f64 n (*.f64 n n)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1000000 binary64))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))))))) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 625 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (*.f64 i (*.f64 #s(literal 100 binary64) n))) (-.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (*.f64 i (*.f64 #s(literal 100 binary64) n))) (*.f64 (*.f64 i i) #s(literal -25 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 625 binary64)) (*.f64 #s(literal 10000 binary64) (*.f64 (*.f64 (*.f64 i n) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 (*.f64 i n) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))))))) (neg.f64 (-.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (*.f64 i (*.f64 #s(literal 100 binary64) n))))))
(/.f64 (-.f64 (*.f64 #s(literal 10000 binary64) (*.f64 (*.f64 (*.f64 i n) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 (*.f64 i n) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))))) (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 625 binary64))) (-.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (*.f64 i (*.f64 #s(literal 100 binary64) n))) (*.f64 (*.f64 i i) #s(literal -25 binary64))))
(pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 625 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (*.f64 i (*.f64 #s(literal 100 binary64) n))) (-.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (*.f64 i (*.f64 #s(literal 100 binary64) n))) (*.f64 (*.f64 i i) #s(literal -25 binary64))))) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -15625 binary64))) (*.f64 (*.f64 (*.f64 n (*.f64 n n)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1000000 binary64))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (*.f64 i (*.f64 #s(literal 100 binary64) n)))) (-.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 625 binary64)) (*.f64 #s(literal 10000 binary64) (*.f64 (*.f64 (*.f64 i n) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 (*.f64 i n) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))))))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -15625 binary64))) (*.f64 (*.f64 (*.f64 n (*.f64 n n)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1000000 binary64))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 625 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (*.f64 i (*.f64 #s(literal 100 binary64) n))) (-.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (*.f64 i (*.f64 #s(literal 100 binary64) n))) (*.f64 (*.f64 i i) #s(literal -25 binary64)))))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 625 binary64)) (*.f64 #s(literal 10000 binary64) (*.f64 (*.f64 (*.f64 i n) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 (*.f64 i n) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (*.f64 i (*.f64 #s(literal 100 binary64) n))))))
(*.f64 i #s(literal 11/24 binary64))
(*.f64 #s(literal 11/24 binary64) i)
(exp.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) (+.f64 (/.f64 n #s(literal 2 binary64)) (/.f64 n #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) (/.f64 n #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n)))) (/.f64 n #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) (/.f64 n #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (/.f64 i n)) (/.f64 n #s(literal 2 binary64))) (*.f64 (log1p.f64 (/.f64 i n)) (/.f64 n #s(literal 2 binary64)))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 (/.f64 n #s(literal 2 binary64)) (/.f64 n #s(literal 2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 #s(literal 2 binary64) (/.f64 n #s(literal 2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 (/.f64 n #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 #s(literal 2 binary64) n)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n))) (/.f64 n #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n))) #s(literal 1/2 binary64)) n)
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 n #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64)) (/.f64 n i)))) n))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) n))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 n #s(literal 2 binary64)) (/.f64 n #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64)) (/.f64 n i)))) (+.f64 (/.f64 n #s(literal 2 binary64)) (/.f64 n #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) (+.f64 (/.f64 n #s(literal 2 binary64)) (/.f64 n #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (+.f64 (/.f64 n #s(literal 2 binary64)) (/.f64 n #s(literal 2 binary64)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (*.f64 #s(literal 2 binary64) (/.f64 n #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64)) (/.f64 n i)))) (*.f64 #s(literal 2 binary64) (/.f64 n #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) (*.f64 #s(literal 2 binary64) (/.f64 n #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (*.f64 #s(literal 2 binary64) (/.f64 n #s(literal 2 binary64)))))

simplify364.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
6610×*-lowering-*.f32
6610×*-lowering-*.f64
4502×+-lowering-+.f64
4502×+-lowering-+.f32
1436×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09858526
134578069
082208069
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 n)
(+ (* 50 (* i n)) (* 100 n))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
1
(+ 1 (* 1/2 i))
(+ 1 (* i (+ 1/2 (* 1/6 i))))
(+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
i
(* i (+ 1 (* 1/2 i)))
(* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(* -50 i)
(* -50 i)
(* -50 i)
(* -50 i)
(* -50 i)
(* -50 i)
(* -50 i)
(* -50 i)
(* -50 i)
(* -50 i)
(* -50 i)
(* -50 i)
(* 100 n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i))))
(* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i))))
(* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i))))
(* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(* -1 (* i (+ (* -100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -100 (/ n i)))))
(* -1 (* i (+ (* -100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -100 (/ n i)))))
(* -1 (* i (+ (* -100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -100 (/ n i)))))
(* -50 i)
(+ (* -50 i) (* 100 (* i (* n (+ 1/2 (/ 1 i))))))
(+ (* -50 i) (* 100 (* i (* n (+ 1/2 (/ 1 i))))))
(+ (* -50 i) (* 100 (* i (* n (+ 1/2 (/ 1 i))))))
(* 100 (* i (* n (+ 1/2 (/ 1 i)))))
(* n (+ (* -50 (/ i n)) (* 100 (* i (+ 1/2 (/ 1 i))))))
(* n (+ (* -50 (/ i n)) (* 100 (* i (+ 1/2 (/ 1 i))))))
(* n (+ (* -50 (/ i n)) (* 100 (* i (+ 1/2 (/ 1 i))))))
(* 100 (* i (* n (+ 1/2 (/ 1 i)))))
(* -1 (* n (+ (* -100 (* i (+ 1/2 (/ 1 i)))) (* 50 (/ i n)))))
(* -1 (* n (+ (* -100 (* i (+ 1/2 (/ 1 i)))) (* 50 (/ i n)))))
(* -1 (* n (+ (* -100 (* i (+ 1/2 (/ 1 i)))) (* 50 (/ i n)))))
-50
(- (* 100 (* n (+ 1/2 (/ 1 i)))) 50)
(- (* 100 (* n (+ 1/2 (/ 1 i)))) 50)
(- (* 100 (* n (+ 1/2 (/ 1 i)))) 50)
(* 100 (* n (+ 1/2 (/ 1 i))))
(* n (- (* 100 (+ 1/2 (/ 1 i))) (* 50 (/ 1 n))))
(* n (- (* 100 (+ 1/2 (/ 1 i))) (* 50 (/ 1 n))))
(* n (- (* 100 (+ 1/2 (/ 1 i))) (* 50 (/ 1 n))))
(* 100 (* n (+ 1/2 (/ 1 i))))
(* -1 (* n (+ (* -100 (+ 1/2 (/ 1 i))) (* 50 (/ 1 n)))))
(* -1 (* n (+ (* -100 (+ 1/2 (/ 1 i))) (* 50 (/ 1 n)))))
(* -1 (* n (+ (* -100 (+ 1/2 (/ 1 i))) (* 50 (/ 1 n)))))
(* 100 (/ n i))
(/ (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) i)
(/ (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) i)
(/ (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))) i)
(* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))
(+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i)))
(+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i)))
(+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i)))
(* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))
(+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i)))
(+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i)))
(+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i)))
-1/2
(- (* n (+ 1/2 (/ 1 i))) 1/2)
(- (* n (+ 1/2 (/ 1 i))) 1/2)
(- (* n (+ 1/2 (/ 1 i))) 1/2)
(* n (+ 1/2 (/ 1 i)))
(* n (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))
(* n (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))
(* n (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))
(* n (+ 1/2 (/ 1 i)))
(* -1 (* n (- (* 1/2 (/ 1 n)) (+ 1/2 (/ 1 i)))))
(* -1 (* n (- (* 1/2 (/ 1 n)) (+ 1/2 (/ 1 i)))))
(* -1 (* n (- (* 1/2 (/ 1 n)) (+ 1/2 (/ 1 i)))))
(/ n i)
(/ (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) i)
(/ (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) i)
(/ (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) i)
(* n (- 1/2 (* 1/2 (/ 1 n))))
(+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i))
(+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i))
(+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i))
(* n (- 1/2 (* 1/2 (/ 1 n))))
(+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i))
(+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i))
(+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i))
-1/2
(- (* 1/2 n) 1/2)
(- (* 1/2 n) 1/2)
(- (* 1/2 n) 1/2)
(* 1/2 n)
(* n (- 1/2 (* 1/2 (/ 1 n))))
(* n (- 1/2 (* 1/2 (/ 1 n))))
(* n (- 1/2 (* 1/2 (/ 1 n))))
(* 1/2 n)
(* -1 (* n (- (* 1/2 (/ 1 n)) 1/2)))
(* -1 (* n (- (* 1/2 (/ 1 n)) 1/2)))
(* -1 (* n (- (* 1/2 (/ 1 n)) 1/2)))
(* -25 (/ (pow i 3) (pow n 2)))
(/ (+ (* -25 (pow i 3)) (* 100 (* (pow i 2) (* n (+ 1/3 (* 11/24 i)))))) (pow n 2))
(/ (+ (* -25 (pow i 3)) (* n (+ (* -50 (* i n)) (* 100 (* (pow i 2) (+ 1/3 (* 11/24 i))))))) (pow n 2))
(/ (+ (* -25 (pow i 3)) (* n (+ (* 100 (* (pow i 2) (+ 1/3 (* 11/24 i)))) (* n (+ (* -50 i) (* n (+ 100 (* 50 i)))))))) (pow n 2))
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(/ i n)
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i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
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(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)
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(- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)
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(* n (+ (log i) (* -1 (log n))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))
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(- (exp i) 1)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)
(- (exp i) 1)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
(/ -1/2 n)
(/ (- (* 1/2 n) 1/2) n)
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1/2
(- 1/2 (* 1/2 (/ 1 n)))
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(- 1/2 (* 1/2 (/ 1 n)))
1/2
(- 1/2 (* 1/2 (/ 1 n)))
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(* 11/24 i)
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1
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(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))
1
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
Outputs
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(* 100 (/ (* n (- (exp i) 1)) i))
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(* 100 n)
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(+ (* 50 (* i n)) (* 100 n))
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(* 100 n)
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(* 100 n)
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(* 100 n)
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1
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(/ (- (exp i) 1) i)
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(*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n i) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))))
(* n (+ (* -25 (/ (pow i 2) n)) (* 100 (* i (+ 1/3 (* 11/24 i))))))
(*.f64 n (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (/.f64 (*.f64 #s(literal -25 binary64) (*.f64 i i)) n)))
(* n (+ (* -25 (/ (pow i 2) n)) (* 100 (* i (+ 1/3 (* 11/24 i))))))
(*.f64 n (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (/.f64 (*.f64 #s(literal -25 binary64) (*.f64 i i)) n)))
(* n (+ (* -25 (/ (pow i 2) n)) (* 100 (* i (+ 1/3 (* 11/24 i))))))
(*.f64 n (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (/.f64 (*.f64 #s(literal -25 binary64) (*.f64 i i)) n)))
(* 100 (* i (* n (+ 1/3 (* 11/24 i)))))
(*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n i) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))))
(* -1 (* n (+ (* -100 (* i (+ 1/3 (* 11/24 i)))) (* 25 (/ (pow i 2) n)))))
(*.f64 (+.f64 (*.f64 (*.f64 #s(literal -100 binary64) i) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 i i)) n)) (-.f64 #s(literal 0 binary64) n))
(* -1 (* n (+ (* -100 (* i (+ 1/3 (* 11/24 i)))) (* 25 (/ (pow i 2) n)))))
(*.f64 (+.f64 (*.f64 (*.f64 #s(literal -100 binary64) i) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 i i)) n)) (-.f64 #s(literal 0 binary64) n))
(* -1 (* n (+ (* -100 (* i (+ 1/3 (* 11/24 i)))) (* 25 (/ (pow i 2) n)))))
(*.f64 (+.f64 (*.f64 (*.f64 #s(literal -100 binary64) i) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 i i)) n)) (-.f64 #s(literal 0 binary64) n))
(* 11/24 i)
(*.f64 i #s(literal 11/24 binary64))
(* 11/24 i)
(*.f64 i #s(literal 11/24 binary64))
(* 11/24 i)
(*.f64 i #s(literal 11/24 binary64))
(* 11/24 i)
(*.f64 i #s(literal 11/24 binary64))
(* 11/24 i)
(*.f64 i #s(literal 11/24 binary64))
(* 11/24 i)
(*.f64 i #s(literal 11/24 binary64))
(* 11/24 i)
(*.f64 i #s(literal 11/24 binary64))
(* 11/24 i)
(*.f64 i #s(literal 11/24 binary64))
(* 11/24 i)
(*.f64 i #s(literal 11/24 binary64))
(* 11/24 i)
(*.f64 i #s(literal 11/24 binary64))
(* 11/24 i)
(*.f64 i #s(literal 11/24 binary64))
(* 11/24 i)
(*.f64 i #s(literal 11/24 binary64))
1
#s(literal 1 binary64)
(+ 1 i)
(+.f64 i #s(literal 1 binary64))
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
(+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 i (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))) (/.f64 #s(literal -1/2 binary64) n)))))))
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
(exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(+.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))
(+.f64 (+.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 n (*.f64 n n))) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)))) (/.f64 (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
(+.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 n (*.f64 n n))) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i))) (+.f64 (/.f64 (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i) (/.f64 (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64)))))) (*.f64 i (*.f64 i i))))))
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
(exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(+.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))
(-.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (*.f64 #s(literal -1 binary64) (*.f64 n n))) (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 n (*.f64 n n))) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) i))) i))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))
(-.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (*.f64 #s(literal -1 binary64) (*.f64 n n))) (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 n (*.f64 n n))) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (+.f64 (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64)) (+.f64 (*.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)))))) i)) i)) i))
1
#s(literal 1 binary64)
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(+.f64 #s(literal 1 binary64) (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(+.f64 #s(literal 1 binary64) (*.f64 n (+.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n (+.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64))))))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
(+.f64 #s(literal 1 binary64) (*.f64 n (+.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (+.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64))) (/.f64 (log.f64 i) i)) (/.f64 (log.f64 n) i)) (/.f64 #s(literal -1/2 binary64) (*.f64 i i))))))))))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+.f64 (exp.f64 i) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n))))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))
(+.f64 (exp.f64 i) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n))) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/3 binary64)))) (*.f64 n n))))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))
(+.f64 (exp.f64 i) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n))) (+.f64 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/3 binary64)))) (*.f64 n n)) (*.f64 (exp.f64 i) (/.f64 (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64))) (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64))))) (*.f64 n (*.f64 n n)))))))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+.f64 (exp.f64 i) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n))))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(-.f64 (exp.f64 i) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (exp.f64 i)) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/3 binary64)))) n)) n))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(-.f64 (exp.f64 i) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (exp.f64 i)) (/.f64 (-.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/3 binary64)))) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)))))) n)) n)) n))

eval177.0ms (1%)

Compiler

Compiled 47332 to 4725 computations (90% saved)

prune202.0ms (1.2%)

Pruning

55 alts after pruning (50 fresh and 5 done)

PrunedKeptTotal
New1289321321
Fresh281846
Picked325
Done033
Total1320551375
Accuracy
99.9%
Counts
1375 → 55
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.3%
(/.f64 (+.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 i i)) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 n (+.f64 (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))) #s(literal -50 binary64))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))))))) (*.f64 n n))
19.8%
(/.f64 (+.f64 (*.f64 #s(literal -25 binary64) (*.f64 i (*.f64 i i))) (*.f64 n (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 i i)) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 n (+.f64 (*.f64 i #s(literal -50 binary64)) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))))))) (*.f64 n n))
10.4%
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n)))) i)
71.7%
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
✓29.0%
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
▶14.4%
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 (+.f64 i #s(literal 1 binary64)) #s(literal -1 binary64))))
16.6%
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
▶35.5%
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))))))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))))))))
18.8%
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))))))
▶77.9%
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
38.7%
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) i))
▶44.7%
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
57.2%
(/.f64 #s(literal 100 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
39.0%
(/.f64 #s(literal 100 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (*.f64 i (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) n)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 n n))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (/.f64 #s(literal -1/2 binary64) n))))))
28.9%
(+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 100 binary64) (/.f64 i n))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 100 binary64) (/.f64 i n))))
56.1%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 (*.f64 n i) (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))))
24.5%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 n (+.f64 (*.f64 n (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))) (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))) #s(literal -50 binary64))))))) (*.f64 n n))))
54.2%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 (*.f64 n i) #s(literal 50/3 binary64)) (*.f64 n #s(literal 50 binary64)))))
51.7%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 (*.f64 #s(literal 100/3 binary64) i) n))))
56.1%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 n #s(literal 50 binary64)) (*.f64 i (+.f64 (*.f64 (*.f64 n i) #s(literal 25/6 binary64)) (*.f64 n #s(literal 50/3 binary64)))))))
35.3%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 625 binary64)) (*.f64 #s(literal 10000 binary64) (*.f64 (*.f64 (*.f64 i n) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 (*.f64 i n) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))))))) (-.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (*.f64 i (*.f64 #s(literal 100 binary64) n))))) (*.f64 n n)))))
25.1%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 121/576 binary64) (*.f64 (*.f64 n n) (*.f64 n n))) (*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)))) (*.f64 n n)) (*.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))) (*.f64 n n))) (*.f64 n i))))))))
40.6%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 #s(literal -50 binary64) (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))))) (*.f64 n n)))))
50.5%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 n (+.f64 #s(literal 50 binary64) (/.f64 #s(literal -50 binary64) n)))))
56.1%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 n (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
50.7%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 n #s(literal 50 binary64))))
50.7%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 50 binary64) (*.f64 n i)))
76.4%
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) #s(literal 100 binary64))
36.1%
(*.f64 (+.f64 (+.f64 (/.f64 n #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 n i)) (*.f64 #s(literal 100 binary64) i))
12.0%
(*.f64 (*.f64 n n) (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64))) i) (/.f64 #s(literal 1 binary64) (*.f64 i i)))) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
12.7%
(*.f64 (*.f64 i (*.f64 i i)) (+.f64 (/.f64 #s(literal 275/6 binary64) n) (/.f64 #s(literal -25 binary64) (*.f64 n n))))
14.1%
(*.f64 (*.f64 i (*.f64 i i)) (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))) (/.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) i)))))
53.1%
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))) i))
▶56.1%
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
54.2%
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/6 binary64))))))
56.1%
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
50.6%
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))
37.3%
(*.f64 i (/.f64 (*.f64 #s(literal 100 binary64) n) i))
36.1%
(*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 100 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i))) (/.f64 #s(literal -50 binary64) n))))
37.2%
(*.f64 i (*.f64 #s(literal 100 binary64) (/.f64 n i)))
25.0%
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 n (*.f64 n n)) #s(literal 8 binary64)) #s(literal -1/8 binary64)) (+.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (/.f64 n #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 n #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (/.f64 n i))))
29.8%
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 n i))))
✓2.8%
(*.f64 i #s(literal -50 binary64))
13.6%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 n i)) n) (*.f64 n (*.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
5.6%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) (/.f64 i n)))
45.7%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
✓29.0%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
7.3%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
13.4%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 n i)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
9.9%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
✓78.6%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
38.8%
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
50.4%
(*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 i n)) (*.f64 i #s(literal 1/2 binary64))))))
36.4%
(*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i)))))
✓44.9%
(*.f64 #s(literal 100 binary64) n)
Compiler

Compiled 2429 to 1546 computations (36.4% saved)

simplify206.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))))))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))))))
✓cost-diff0
(/.f64 i n)
✓cost-diff128
(/.f64 (/.f64 i n) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))))))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n)))))))
✓cost-diff256
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))))))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))))))))
✓cost-diff0
(*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))))
✓cost-diff0
(*.f64 #s(literal 100 binary64) n)
✓cost-diff0
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
✓cost-diff0
(/.f64 i n)
✓cost-diff256
(+.f64 (+.f64 i #s(literal 1 binary64)) #s(literal -1 binary64))
✓cost-diff384
(/.f64 (/.f64 i n) (+.f64 (+.f64 i #s(literal 1 binary64)) #s(literal -1 binary64)))
✓cost-diff512
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 (+.f64 i #s(literal 1 binary64)) #s(literal -1 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) n)
✓cost-diff128
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
✓cost-diff0
(/.f64 i n)
✓cost-diff6208
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
✓cost-diff6208
(/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))
✓cost-diff6208
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
Rules
3500×*-lowering-*.f32
3500×*-lowering-*.f64
2906×+-lowering-+.f64
2906×+-lowering-+.f32
1720×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056653
1168626
2567592
33307592
45453592
08185592
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 100 (/ (/ i n) (- (exp (* n (log (+ 1 (/ i n))))) 1)))
100
(/ (/ i n) (- (exp (* n (log (+ 1 (/ i n))))) 1))
(/ i n)
i
n
(- (exp (* n (log (+ 1 (/ i n))))) 1)
(* n (log (+ 1 (/ i n))))
(log (+ 1 (/ i n)))
(/ 100 (/ 1 n))
100
(/ 1 n)
1
n
(/ 100 (/ (/ i n) (+ (+ i 1) -1)))
100
(/ (/ i n) (+ (+ i 1) -1))
(/ i n)
i
n
(+ (+ i 1) -1)
(+ i 1)
1
-1
(* (* 100 n) (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* i 1/24)))))))
(* 100 n)
100
n
(+ 1 (* i (+ 1/2 (* i (+ 1/6 (* i 1/24))))))
1
(* i (+ 1/2 (* i (+ 1/6 (* i 1/24)))))
i
(+ 1/2 (* i (+ 1/6 (* i 1/24))))
1/2
(* i (+ 1/6 (* i 1/24)))
(+ 1/6 (* i 1/24))
1/6
(* i 1/24)
1/24
(/ 100 (/ (/ i n) (* i (+ 1 (* i (+ 1/2 (+ (* i (+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n))) (/ -1/2 n))))))))
100
(/ (/ i n) (* i (+ 1 (* i (+ 1/2 (+ (* i (+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n))) (/ -1/2 n)))))))
(/ i n)
i
n
(* i (+ 1 (* i (+ 1/2 (+ (* i (+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n))) (/ -1/2 n))))))
(+ 1 (* i (+ 1/2 (+ (* i (+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n))) (/ -1/2 n)))))
1
(* i (+ 1/2 (+ (* i (+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n))) (/ -1/2 n))))
(+ 1/2 (+ (* i (+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n))) (/ -1/2 n)))
1/2
(+ (* i (+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n))) (/ -1/2 n))
(* i (+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n)))
(+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n))
(+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n)))))))))
1/6
(+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))
(/ 1/3 (* n n))
1/3
(* n n)
(* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n)))))))
(+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))
1/24
(- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n)))))
(/ 11/24 (* n n))
11/24
(+ (/ 1/4 n) (/ 1/4 (* n (* n n))))
(/ 1/4 n)
1/4
(/ 1/4 (* n (* n n)))
(* n (* n n))
(/ -1/2 n)
-1/2
Outputs
(/ 100 (/ (/ i n) (- (exp (* n (log (+ 1 (/ i n))))) 1)))
(*.f64 n (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (/.f64 #s(literal 100 binary64) i)))
100
#s(literal 100 binary64)
(/ (/ i n) (- (exp (* n (log (+ 1 (/ i n))))) 1))
(/.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)))
(/ i n)
(/.f64 i n)
i
n
(- (exp (* n (log (+ 1 (/ i n))))) 1)
(+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))
(* n (log (+ 1 (/ i n))))
(*.f64 n (log1p.f64 (/.f64 i n)))
(log (+ 1 (/ i n)))
(log1p.f64 (/.f64 i n))
(/ 100 (/ 1 n))
(*.f64 #s(literal 100 binary64) n)
100
#s(literal 100 binary64)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
1
#s(literal 1 binary64)
n
(/ 100 (/ (/ i n) (+ (+ i 1) -1)))
(*.f64 #s(literal 100 binary64) n)
100
#s(literal 100 binary64)
(/ (/ i n) (+ (+ i 1) -1))
(/.f64 #s(literal 1 binary64) n)
(/ i n)
(/.f64 i n)
i
n
(+ (+ i 1) -1)
i
(+ i 1)
(+.f64 i #s(literal 1 binary64))
1
#s(literal 1 binary64)
-1
#s(literal -1 binary64)
(* (* 100 n) (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* i 1/24)))))))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))))))
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
100
#s(literal 100 binary64)
n
(+ 1 (* i (+ 1/2 (* i (+ 1/6 (* i 1/24))))))
(+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))))
1
#s(literal 1 binary64)
(* i (+ 1/2 (* i (+ 1/6 (* i 1/24)))))
(*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))
i
(+ 1/2 (* i (+ 1/6 (* i 1/24))))
(+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))
1/2
#s(literal 1/2 binary64)
(* i (+ 1/6 (* i 1/24)))
(*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))
(+ 1/6 (* i 1/24))
(+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))
1/6
#s(literal 1/6 binary64)
(* i 1/24)
(*.f64 i #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(/ 100 (/ (/ i n) (* i (+ 1 (* i (+ 1/2 (+ (* i (+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n))) (/ -1/2 n))))))))
(*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 i (+.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))))))))
100
#s(literal 100 binary64)
(/ (/ i n) (* i (+ 1 (* i (+ 1/2 (+ (* i (+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n))) (/ -1/2 n)))))))
(/.f64 #s(literal 1 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 i (+.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))))))))
(/ i n)
(/.f64 i n)
i
n
(* i (+ 1 (* i (+ 1/2 (+ (* i (+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n))) (/ -1/2 n))))))
(*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 i (+.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))))))))
(+ 1 (* i (+ 1/2 (+ (* i (+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n))) (/ -1/2 n)))))
(+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 i (+.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))))))
1
#s(literal 1 binary64)
(* i (+ 1/2 (+ (* i (+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n))) (/ -1/2 n))))
(*.f64 i (+.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 i (+.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))))))
(+ 1/2 (+ (* i (+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n))) (/ -1/2 n)))
(+.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 i (+.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))))
1/2
#s(literal 1/2 binary64)
(+ (* i (+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n))) (/ -1/2 n))
(+.f64 (/.f64 #s(literal -1/2 binary64) n) (*.f64 i (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 i (+.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))))
(* i (+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n)))
(*.f64 i (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 i (+.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
(+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n))
(+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 i (+.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
(+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n)))))))))
(+.f64 (*.f64 i (+.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))))
1/6
#s(literal 1/6 binary64)
(+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (*.f64 i (+.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))))))
(/ 1/3 (* n n))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
1/3
#s(literal 1/3 binary64)
(* n n)
(*.f64 n n)
(* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n)))))))
(*.f64 i (+.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n)))))
(+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))
(+.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))))
1/24
#s(literal 1/24 binary64)
(- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n)))))
(+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)))
(/ 11/24 (* n n))
(/.f64 #s(literal 11/24 binary64) (*.f64 n n))
11/24
#s(literal 11/24 binary64)
(+ (/ 1/4 n) (/ 1/4 (* n (* n n))))
(+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))
(/ 1/4 n)
(/.f64 #s(literal 1/4 binary64) n)
1/4
#s(literal 1/4 binary64)
(/ 1/4 (* n (* n n)))
(/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))
(* n (* n n))
(*.f64 n (*.f64 n n))
(/ -1/2 n)
(/.f64 #s(literal -1/2 binary64) n)
-1/2
#s(literal -1/2 binary64)

localize615.0ms (3.5%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy95.1%
(*.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))))))) (/.f64 #s(literal -1/2 binary64) n)))
✓accuracy92.6%
(-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))
✓accuracy91.1%
(/.f64 (/.f64 i n) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))))))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n)))))))
✓accuracy87.7%
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))))))
✓accuracy99.9%
(*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))
✓accuracy99.8%
(*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))
✓accuracy99.7%
(*.f64 i #s(literal 1/24 binary64))
✓accuracy98.5%
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
✓accuracy100.0%
(+.f64 i #s(literal 1 binary64))
✓accuracy99.8%
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 (+.f64 i #s(literal 1 binary64)) #s(literal -1 binary64))))
✓accuracy93.5%
(/.f64 (/.f64 i n) (+.f64 (+.f64 i #s(literal 1 binary64)) #s(literal -1 binary64)))
✓accuracy71.4%
(+.f64 (+.f64 i #s(literal 1 binary64)) #s(literal -1 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy99.8%
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
✓accuracy99.8%
(/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))
✓accuracy99.8%
(*.f64 n (log1p.f64 (/.f64 i n)))
✓accuracy99.1%
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
✓accuracy93.6%
(log1p.f64 (/.f64 i n))
Results
213.0ms138×1valid
213.0ms74×5exit
10.0ms9×1unsamplable
7.0ms12×0valid
6.0ms11×0invalid
6.0ms12×0unsamplable
Compiler

Compiled 728 to 55 computations (92.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 314.0ms
ival-div: 70.0ms (22.3% of total)
backward-pass: 62.0ms (19.7% of total)
ival-mult: 42.0ms (13.4% of total)
compiled-spec: 40.0ms (12.7% of total)
ival-add: 34.0ms (10.8% of total)
...c/correct-round.rkt:119:19: 32.0ms (10.2% of total)
ival-log: 14.0ms (4.5% of total)
ival-exp: 12.0ms (3.8% of total)
ival-sub: 5.0ms (1.6% of total)
const: 2.0ms (0.6% of total)

series51.0ms (0.3%)

Counts
24 → 456
Calls
Call 1
Inputs
#<alt (/ 100 (/ (/ i n) (- (exp (* n (log (+ 1 (/ i n))))) 1)))>
#<alt (/ (/ i n) (- (exp (* n (log (+ 1 (/ i n))))) 1))>
#<alt (- (exp (* n (log (+ 1 (/ i n))))) 1)>
#<alt (/ i n)>
#<alt (/ 100 (/ 1 n))>
#<alt (/ 1 n)>
#<alt (/ 100 (/ (/ i n) (+ (+ i 1) -1)))>
#<alt (/ (/ i n) (+ (+ i 1) -1))>
#<alt (+ (+ i 1) -1)>
#<alt (* (* 100 n) (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* i 1/24)))))))>
#<alt (* 100 n)>
#<alt (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* i 1/24))))))>
#<alt (* i (+ 1/2 (* i (+ 1/6 (* i 1/24)))))>
#<alt (/ 100 (/ (/ i n) (* i (+ 1 (* i (+ 1/2 (+ (* i (+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n))) (/ -1/2 n))))))))>
#<alt (/ (/ i n) (* i (+ 1 (* i (+ 1/2 (+ (* i (+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n))) (/ -1/2 n)))))))>
#<alt (* i (+ 1 (* i (+ 1/2 (+ (* i (+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n))) (/ -1/2 n))))))>
#<alt (log (+ 1 (/ i n)))>
#<alt (* n (log (+ 1 (/ i n))))>
#<alt (+ i 1)>
#<alt (* i 1/24)>
#<alt (* i (+ 1/6 (* i 1/24)))>
#<alt (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))>
#<alt (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n)))))>
#<alt (* i (+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n)))>
Outputs
#<alt (* 100 n)>
#<alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))>
#<alt (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))>
#<alt (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))>
#<alt (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)>
#<alt (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)>
#<alt (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)>
#<alt (* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))>
#<alt (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))>
#<alt (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i))>
#<alt (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i))>
#<alt (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))>
#<alt (* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))>
#<alt (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))>
#<alt (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))>
#<alt (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))>
#<alt (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))>
#<alt (/ 1 n)>
#<alt (+ (* i (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))>
#<alt (+ (* i (- (+ (* 1/2 (/ 1 (pow n 2))) (* i (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))))))) (* 1/2 (/ 1 n)))) (/ 1 n))>
#<alt (+ (* i (- (+ (* 1/2 (/ 1 (pow n 2))) (* i (- (+ (* 1/2 (/ 1 (pow n 2))) (* i (- (+ (* 1/4 (/ 1 (pow n 2))) (* 1/4 (/ 1 (pow n 4)))) (+ (* 1/24 (/ 1 n)) (+ (* 11/24 (/ 1 (pow n 3))) (+ (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))))) (* (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))))))) (* 1/2 (/ 1 n)))) (/ 1 n))>
#<alt (/ i (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)))>
#<alt (* i (+ (* -1 (/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (* i (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 2)))) (/ 1 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)))))>
#<alt (* i (- (+ (* -1 (/ (+ (* -1 (/ (* (pow n 3) (pow (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 2)) (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 3))) (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (* n (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 2)))) (pow i 2))) (/ 1 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)))) (/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (* i (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 2)))))>
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#<alt (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))>
#<alt (* (pow i 4) (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))>
#<alt (* (pow i 4) (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (+ (/ 1/3 (* i (pow n 2))) (* 1/6 (/ 1 i))))) (+ (* 1/4 (/ 1 n)) (+ (* 1/4 (/ 1 (pow n 3))) (/ 1/2 (* i n))))))>
#<alt (* (pow i 4) (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (+ (/ 1/3 (* i (pow n 2))) (+ (/ 1/2 (pow i 2)) (* 1/6 (/ 1 i)))))) (+ (* 1/4 (/ 1 n)) (+ (* 1/4 (/ 1 (pow n 3))) (+ (/ 1/2 (* i n)) (* 1/2 (/ 1 (* (pow i 2) n))))))))>
#<alt (* (pow i 4) (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (+ (/ 1/3 (* i (pow n 2))) (+ (/ 1/2 (pow i 2)) (+ (* 1/6 (/ 1 i)) (/ 1 (pow i 3))))))) (+ (* 1/4 (/ 1 n)) (+ (* 1/4 (/ 1 (pow n 3))) (+ (/ 1/2 (* i n)) (* 1/2 (/ 1 (* (pow i 2) n))))))))>
#<alt (* (pow i 4) (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))>
#<alt (* (pow i 4) (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (+ (/ 1/3 (* i (pow n 2))) (* 1/6 (/ 1 i))))) (+ (* 1/4 (/ 1 n)) (+ (* 1/4 (/ 1 (pow n 3))) (/ 1/2 (* i n))))))>
#<alt (* (pow i 4) (- (+ 1/24 (+ (* -1 (/ (+ (* -1 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) i))) i)) (* 11/24 (/ 1 (pow n 2))))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))>
#<alt (* (pow i 4) (- (+ 1/24 (+ (* -1 (/ (+ (* -1 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (* -1 (/ (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))) i))) i)) (* 11/24 (/ 1 (pow n 2))))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))>
#<alt (* -1/4 (/ (pow i 4) (pow n 3)))>
#<alt (/ (+ (* -1/4 (pow i 4)) (* (pow i 3) (* n (+ 1/3 (* 11/24 i))))) (pow n 3))>
#<alt (/ (+ (* -1/4 (pow i 4)) (* n (+ (* (pow i 2) (* n (- (* i (- (* -1/4 i) 1/2)) 1/2))) (* (pow i 3) (+ 1/3 (* 11/24 i)))))) (pow n 3))>
#<alt (/ (+ (* -1/4 (pow i 4)) (* n (+ (* n (+ (* i (* n (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))) (* (pow i 2) (- (* i (- (* -1/4 i) 1/2)) 1/2)))) (* (pow i 3) (+ 1/3 (* 11/24 i)))))) (pow n 3))>
#<alt (* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))>
#<alt (+ (* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))) (/ (* (pow i 2) (- (* i (- (* -1/4 i) 1/2)) 1/2)) n))>
#<alt (+ (* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))) (+ (/ (* (pow i 2) (- (* i (- (* -1/4 i) 1/2)) 1/2)) n) (/ (* (pow i 3) (+ 1/3 (* 11/24 i))) (pow n 2))))>
#<alt (+ (* -1/4 (/ (pow i 4) (pow n 3))) (+ (* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))) (+ (/ (* (pow i 2) (- (* i (- (* -1/4 i) 1/2)) 1/2)) n) (/ (* (pow i 3) (+ 1/3 (* 11/24 i))) (pow n 2)))))>
#<alt (* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))>
#<alt (+ (* -1 (/ (* (pow i 2) (+ 1/2 (* i (+ 1/2 (* 1/4 i))))) n)) (* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (* (pow i 3) (+ 1/3 (* 11/24 i))) n)) (* (pow i 2) (+ 1/2 (* i (+ 1/2 (* 1/4 i)))))) n)) (* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* (pow i 3) (+ 1/3 (* 11/24 i)))) n)) (* (pow i 2) (+ 1/2 (* i (+ 1/2 (* 1/4 i)))))) n)) (* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))))>
#<alt (/ i n)>
#<alt (* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))>
#<alt (* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))>
#<alt (* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))>
#<alt (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))>
#<alt (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (/ n i)))>
#<alt (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (/ n i))))>
#<alt (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (+ (* 1/3 (/ (pow n 3) (pow i 3))) (/ n i)))))>
#<alt (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))>
#<alt (+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (/ n i)))>
#<alt (+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (* -1 (/ (+ (* -1 n) (* 1/2 (/ (pow n 2) i))) i))))>
#<alt (+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (* -1 (/ (+ (* -1 n) (* -1 (/ (+ (* -1/2 (pow n 2)) (* 1/3 (/ (pow n 3) i))) i))) i))))>
#<alt (+ (log i) (* -1 (log n)))>
#<alt (+ (log i) (+ (* -1 (log n)) (/ n i)))>
#<alt (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i)))))>
#<alt (+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))>
#<alt (/ i n)>
#<alt (/ (+ i (* -1/2 (/ (pow i 2) n))) n)>
#<alt (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)>
#<alt (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)>
#<alt (/ i n)>
#<alt (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))>
#<alt (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))>
#<alt (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))>
#<alt (* n (+ (log i) (* -1 (log n))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (/ n i))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i))))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))>
#<alt i>
#<alt (+ i (* -1/2 (/ (pow i 2) n)))>
#<alt (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))>
#<alt (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2))))))>
#<alt i>
#<alt (+ i (* -1/2 (/ (pow i 2) n)))>
#<alt (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))>
#<alt (+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))>
#<alt i>
#<alt (* i (+ 1 (* -1/2 (/ i n))))>
#<alt (* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))>
#<alt (* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))>
#<alt (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))>
#<alt (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))>
#<alt (+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i)))>
#<alt (+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* 1/3 (/ (pow n 4) (pow i 3))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))))>
#<alt (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))>
#<alt (+ (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))) (/ (pow n 2) i))>
#<alt (+ (* -1 (/ (+ (* -1 (pow n 2)) (* 1/2 (/ (pow n 3) i))) i)) (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow n 3)) (* 1/3 (/ (pow n 4) i))) i)) (* -1 (pow n 2))) i)) (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))>
#<alt 1>
#<alt (+ 1 i)>
#<alt (+ 1 i)>
#<alt (+ 1 i)>
#<alt i>
#<alt (* i (+ 1 (/ 1 i)))>
#<alt (* i (+ 1 (/ 1 i)))>
#<alt (* i (+ 1 (/ 1 i)))>
#<alt i>
#<alt (* i (+ 1 (/ 1 i)))>
#<alt (* i (+ 1 (/ 1 i)))>
#<alt (* i (+ 1 (/ 1 i)))>
#<alt (* 1/24 i)>
#<alt (* 1/24 i)>
#<alt (* 1/24 i)>
#<alt (* 1/24 i)>
#<alt (* 1/24 i)>
#<alt (* 1/24 i)>
#<alt (* 1/24 i)>
#<alt (* 1/24 i)>
#<alt (* 1/24 i)>
#<alt (* 1/24 i)>
#<alt (* 1/24 i)>
#<alt (* 1/24 i)>
#<alt (* 1/6 i)>
#<alt (* i (+ 1/6 (* 1/24 i)))>
#<alt (* i (+ 1/6 (* 1/24 i)))>
#<alt (* i (+ 1/6 (* 1/24 i)))>
#<alt (* 1/24 (pow i 2))>
#<alt (* (pow i 2) (+ 1/24 (* 1/6 (/ 1 i))))>
#<alt (* (pow i 2) (+ 1/24 (* 1/6 (/ 1 i))))>
#<alt (* (pow i 2) (+ 1/24 (* 1/6 (/ 1 i))))>
#<alt (* 1/24 (pow i 2))>
#<alt (* (pow i 2) (+ 1/24 (* 1/6 (/ 1 i))))>
#<alt (* (pow i 2) (+ 1/24 (* 1/6 (/ 1 i))))>
#<alt (* (pow i 2) (+ 1/24 (* 1/6 (/ 1 i))))>
#<alt (* -1/4 (/ i (pow n 3)))>
#<alt (/ (+ (* -1/4 i) (* n (+ 1/3 (* 11/24 i)))) (pow n 3))>
#<alt (/ (+ (* -1/4 i) (* n (+ 1/3 (+ (* -1/4 (* i n)) (* 11/24 i))))) (pow n 3))>
#<alt (/ (+ (* -1/4 i) (* n (+ 1/3 (+ (* 11/24 i) (* n (+ (* -1/4 i) (* 1/24 (* i n)))))))) (pow n 3))>
#<alt (* 1/24 i)>
#<alt (+ (* -1/4 (/ i n)) (* 1/24 i))>
#<alt (+ (* -1/4 (/ i n)) (+ (* 1/24 i) (+ (* 11/24 (/ i (pow n 2))) (/ 1/3 (pow n 2)))))>
#<alt (+ (* -1/4 (/ i n)) (+ (* -1/4 (/ i (pow n 3))) (+ (* 1/24 i) (+ (* 11/24 (/ i (pow n 2))) (/ 1/3 (pow n 2))))))>
#<alt (* 1/24 i)>
#<alt (+ (* -1/4 (/ i n)) (* 1/24 i))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ 1/3 (* 11/24 i)) n)) (* 1/4 i)) n)) (* 1/24 i))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ 1/3 (+ (* -1/4 (/ i n)) (* 11/24 i))) n)) (* 1/4 i)) n)) (* 1/24 i))>
#<alt (/ 1/3 (pow n 2))>
#<alt (+ (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (* 1/3 (/ 1 (pow n 2))))>
#<alt (+ (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (* 1/3 (/ 1 (pow n 2))))>
#<alt (+ (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (* 1/3 (/ 1 (pow n 2))))>
#<alt (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))>
#<alt (* i (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (* 1/3 (/ 1 (* i (pow n 2)))))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))>
#<alt (* i (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (* 1/3 (/ 1 (* i (pow n 2)))))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))>
#<alt (* i (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (* 1/3 (/ 1 (* i (pow n 2)))))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))>
#<alt (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))>
#<alt (* -1 (* i (- (* -1 (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (* 1/3 (/ 1 (* i (pow n 2)))))))>
#<alt (* -1 (* i (- (* -1 (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (* 1/3 (/ 1 (* i (pow n 2)))))))>
#<alt (* -1 (* i (- (* -1 (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (* 1/3 (/ 1 (* i (pow n 2)))))))>
#<alt (/ -1/4 (pow n 3))>
#<alt (/ (- (* 11/24 n) 1/4) (pow n 3))>
#<alt (/ (- (* n (+ 11/24 (* -1/4 n))) 1/4) (pow n 3))>
#<alt (/ (- (* n (+ 11/24 (* -1/4 n))) 1/4) (pow n 3))>
#<alt (/ -1/4 n)>
#<alt (/ (- (* 11/24 (/ 1 n)) 1/4) n)>
#<alt (/ (- (* 11/24 (/ 1 n)) (+ 1/4 (/ 1/4 (pow n 2)))) n)>
#<alt (/ (- (* 11/24 (/ 1 n)) (+ 1/4 (/ 1/4 (pow n 2)))) n)>
#<alt (/ -1/4 n)>
#<alt (* -1 (/ (- 1/4 (* 11/24 (/ 1 n))) n))>
#<alt (* -1 (/ (+ 1/4 (* -1 (/ (- 11/24 (* 1/4 (/ 1 n))) n))) n))>
#<alt (* -1 (/ (+ 1/4 (* -1 (/ (- 11/24 (* 1/4 (/ 1 n))) n))) n))>
#<alt (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))>
#<alt (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))>
#<alt (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))>
#<alt (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))>
#<alt (* (pow i 2) (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))>
#<alt (* (pow i 2) (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (+ (/ 1/3 (* i (pow n 2))) (* 1/6 (/ 1 i))))) (+ (* 1/4 (/ 1 n)) (+ (* 1/4 (/ 1 (pow n 3))) (/ 1/2 (* i n))))))>
#<alt (* (pow i 2) (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (+ (/ 1/3 (* i (pow n 2))) (* 1/6 (/ 1 i))))) (+ (* 1/4 (/ 1 n)) (+ (* 1/4 (/ 1 (pow n 3))) (/ 1/2 (* i n))))))>
#<alt (* (pow i 2) (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (+ (/ 1/3 (* i (pow n 2))) (* 1/6 (/ 1 i))))) (+ (* 1/4 (/ 1 n)) (+ (* 1/4 (/ 1 (pow n 3))) (/ 1/2 (* i n))))))>
#<alt (* (pow i 2) (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))>
#<alt (* (pow i 2) (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (+ (/ 1/3 (* i (pow n 2))) (* 1/6 (/ 1 i))))) (+ (* 1/4 (/ 1 n)) (+ (* 1/4 (/ 1 (pow n 3))) (/ 1/2 (* i n))))))>
#<alt (* (pow i 2) (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (+ (/ 1/3 (* i (pow n 2))) (* 1/6 (/ 1 i))))) (+ (* 1/4 (/ 1 n)) (+ (* 1/4 (/ 1 (pow n 3))) (/ 1/2 (* i n))))))>
#<alt (* (pow i 2) (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (+ (/ 1/3 (* i (pow n 2))) (* 1/6 (/ 1 i))))) (+ (* 1/4 (/ 1 n)) (+ (* 1/4 (/ 1 (pow n 3))) (/ 1/2 (* i n))))))>
#<alt (* -1/4 (/ (pow i 2) (pow n 3)))>
#<alt (/ (+ (* -1/4 (pow i 2)) (* i (* n (+ 1/3 (* 11/24 i))))) (pow n 3))>
#<alt (/ (+ (* -1/4 (pow i 2)) (* n (+ (* i (* n (- (* -1/4 i) 1/2))) (* i (+ 1/3 (* 11/24 i)))))) (pow n 3))>
#<alt (/ (+ (* -1/4 (pow i 2)) (* n (+ (* i (+ 1/3 (* 11/24 i))) (* n (+ (* i (* n (+ 1/6 (* 1/24 i)))) (* i (- (* -1/4 i) 1/2))))))) (pow n 3))>
#<alt (* i (+ 1/6 (* 1/24 i)))>
#<alt (+ (* i (+ 1/6 (* 1/24 i))) (/ (* i (- (* -1/4 i) 1/2)) n))>
#<alt (+ (* i (+ 1/6 (* 1/24 i))) (+ (/ (* i (+ 1/3 (* 11/24 i))) (pow n 2)) (/ (* i (- (* -1/4 i) 1/2)) n)))>
#<alt (+ (* -1/4 (/ (pow i 2) (pow n 3))) (+ (* i (+ 1/6 (* 1/24 i))) (+ (/ (* i (+ 1/3 (* 11/24 i))) (pow n 2)) (/ (* i (- (* -1/4 i) 1/2)) n))))>
#<alt (* i (+ 1/6 (* 1/24 i)))>
#<alt (+ (* -1 (/ (* i (+ 1/2 (* 1/4 i))) n)) (* i (+ 1/6 (* 1/24 i))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (* i (+ 1/3 (* 11/24 i))) n)) (* i (+ 1/2 (* 1/4 i)))) n)) (* i (+ 1/6 (* 1/24 i))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 2) n)) (* i (+ 1/3 (* 11/24 i)))) n)) (* i (+ 1/2 (* 1/4 i)))) n)) (* i (+ 1/6 (* 1/24 i))))>
Calls

114 calls:

TimeVariablePointExpression
6.0ms
n
@inf
(/ (/ i n) (* i (+ 1 (* i (+ 1/2 (+ (* i (+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n))) (/ -1/2 n)))))))
5.0ms
i
@inf
(/ (/ i n) (* i (+ 1 (* i (+ 1/2 (+ (* i (+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n))) (/ -1/2 n)))))))
5.0ms
n
@-inf
(+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))
2.0ms
i
@-inf
(/ (/ i n) (* i (+ 1 (* i (+ 1/2 (+ (* i (+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n))) (/ -1/2 n)))))))
1.0ms
n
@-inf
(/ (/ i n) (* i (+ 1 (* i (+ 1/2 (+ (* i (+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n))) (/ -1/2 n)))))))

rewrite344.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
2902×*-lowering-*.f32
2902×*-lowering-*.f64
2478×/-lowering-/.f32
2478×/-lowering-/.f64
1570×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056336
1444301
25216296
08051296
Stop Event
1×iter limit
1×node limit
Counts
24 → 442
Calls
Call 1
Inputs
(/ 100 (/ (/ i n) (- (exp (* n (log (+ 1 (/ i n))))) 1)))
(/ (/ i n) (- (exp (* n (log (+ 1 (/ i n))))) 1))
(- (exp (* n (log (+ 1 (/ i n))))) 1)
(/ i n)
(/ 100 (/ 1 n))
(/ 1 n)
(/ 100 (/ (/ i n) (+ (+ i 1) -1)))
(/ (/ i n) (+ (+ i 1) -1))
(+ (+ i 1) -1)
(* (* 100 n) (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* i 1/24)))))))
(* 100 n)
(+ 1 (* i (+ 1/2 (* i (+ 1/6 (* i 1/24))))))
(* i (+ 1/2 (* i (+ 1/6 (* i 1/24)))))
(/ 100 (/ (/ i n) (* i (+ 1 (* i (+ 1/2 (+ (* i (+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n))) (/ -1/2 n))))))))
(/ (/ i n) (* i (+ 1 (* i (+ 1/2 (+ (* i (+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n))) (/ -1/2 n)))))))
(* i (+ 1 (* i (+ 1/2 (+ (* i (+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n))) (/ -1/2 n))))))
(log (+ 1 (/ i n)))
(* n (log (+ 1 (/ i n))))
(+ i 1)
(* i 1/24)
(* i (+ 1/6 (* i 1/24)))
(+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))
(- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n)))))
(* i (+ (+ 1/6 (+ (/ 1/3 (* n n)) (* i (+ 1/24 (- (/ 11/24 (* n n)) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))))) (/ -1/2 n)))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) #s(literal -1 binary64)))
(+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 #s(literal 100 binary64) (/.f64 i n))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 100 binary64) (/.f64 i n))))
(neg.f64 (/.f64 #s(literal -100 binary64) (/.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)))))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))))
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(/.f64 (+.f64 (pow.f64 (*.f64 i (+.f64 (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))))) #s(literal 3 binary64)) (pow.f64 (/.f64 i (/.f64 n #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 i (+.f64 (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))))) (*.f64 i (+.f64 (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))))) (-.f64 (*.f64 (/.f64 i (/.f64 n #s(literal -1/2 binary64))) (/.f64 i (/.f64 n #s(literal -1/2 binary64)))) (*.f64 (*.f64 i (+.f64 (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))))) (/.f64 i (/.f64 n #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 i (+.f64 (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))))) (*.f64 i (+.f64 (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))))) (*.f64 (/.f64 i (/.f64 n #s(literal -1/2 binary64))) (/.f64 i (/.f64 n #s(literal -1/2 binary64))))) (-.f64 (*.f64 i (+.f64 (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))))) (/.f64 i (/.f64 n #s(literal -1/2 binary64)))))
(/.f64 (*.f64 i (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 n (*.f64 n n))) (*.f64 (+.f64 (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))) (*.f64 (+.f64 (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))) (+.f64 (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))))))) (+.f64 (*.f64 (+.f64 (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))) (+.f64 (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))))) (*.f64 (/.f64 #s(literal -1/2 binary64) n) (-.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))))))))
(/.f64 (*.f64 i (-.f64 (*.f64 (+.f64 (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))) (+.f64 (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))))) (/.f64 #s(literal 1/4 binary64) (*.f64 n n)))) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (-.f64 (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (/.f64 #s(literal -1/2 binary64) n))))
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(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))) (+.f64 (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))))) (/.f64 #s(literal 1/4 binary64) (*.f64 n n))) i) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (-.f64 (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 i (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))) i)

simplify411.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
5318×*-lowering-*.f32
5318×*-lowering-*.f64
3336×+-lowering-+.f64
3336×+-lowering-+.f32
2100×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0147612056
1519011521
0824411521
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
Calls
Call 1
Inputs
(* 100 n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i))
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))
(/ 1 n)
(+ (* i (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))
(+ (* i (- (+ (* 1/2 (/ 1 (pow n 2))) (* i (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))))))) (* 1/2 (/ 1 n)))) (/ 1 n))
(+ (* i (- (+ (* 1/2 (/ 1 (pow n 2))) (* i (- (+ (* 1/2 (/ 1 (pow n 2))) (* i (- (+ (* 1/4 (/ 1 (pow n 2))) (* 1/4 (/ 1 (pow n 4)))) (+ (* 1/24 (/ 1 n)) (+ (* 11/24 (/ 1 (pow n 3))) (+ (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))))) (* (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))) (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* (- 1/2 (* 1/2 (/ 1 n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))))))) (* 1/2 (/ 1 n)))) (/ 1 n))
(/ i (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)))
(* i (+ (* -1 (/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (* i (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 2)))) (/ 1 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)))))
(* i (- (+ (* -1 (/ (+ (* -1 (/ (* (pow n 3) (pow (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 2)) (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 3))) (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (* n (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 2)))) (pow i 2))) (/ 1 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)))) (/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (* i (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 2)))))
(* i (- (+ (* -1 (/ (+ (* -1 (/ (* n (* (pow (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 2) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 3))) (+ (* -1 (/ (* (pow n 2) (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1 (/ (* (pow n 3) (pow (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 2)) (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 3))) (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (* n (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 2)))))) (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (* n (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 2))))) (pow i 3))) (/ 1 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)))) (+ (* -1 (/ (* (pow n 3) (pow (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 2)) (* (pow i 2) (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 3)))) (+ (/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (* i (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 2))) (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (* (pow i 2) (* n (pow (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) 2))))))))
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(+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i)))))
(+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))
(/ i n)
(/ (+ i (* -1/2 (/ (pow i 2) n))) n)
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)
(/ i n)
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))
(* n (+ (log i) (* -1 (log n))))
(* n (+ (log i) (+ (* -1 (log n)) (/ n i))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i))))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))
i
(+ i (* -1/2 (/ (pow i 2) n)))
(+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))
(+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2))))))
i
(+ i (* -1/2 (/ (pow i 2) n)))
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))
(+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))
i
(* i (+ 1 (* -1/2 (/ i n))))
(* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))
(* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))
(+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))
(+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i)))
(+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* 1/3 (/ (pow n 4) (pow i 3))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))))
(* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))
(+ (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))) (/ (pow n 2) i))
(+ (* -1 (/ (+ (* -1 (pow n 2)) (* 1/2 (/ (pow n 3) i))) i)) (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow n 3)) (* 1/3 (/ (pow n 4) i))) i)) (* -1 (pow n 2))) i)) (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
1
(+ 1 i)
(+ 1 i)
(+ 1 i)
i
(* i (+ 1 (/ 1 i)))
(* i (+ 1 (/ 1 i)))
(* i (+ 1 (/ 1 i)))
i
(* i (+ 1 (/ 1 i)))
(* i (+ 1 (/ 1 i)))
(* i (+ 1 (/ 1 i)))
(* 1/24 i)
(* 1/24 i)
(* 1/24 i)
(* 1/24 i)
(* 1/24 i)
(* 1/24 i)
(* 1/24 i)
(* 1/24 i)
(* 1/24 i)
(* 1/24 i)
(* 1/24 i)
(* 1/24 i)
(* 1/6 i)
(* i (+ 1/6 (* 1/24 i)))
(* i (+ 1/6 (* 1/24 i)))
(* i (+ 1/6 (* 1/24 i)))
(* 1/24 (pow i 2))
(* (pow i 2) (+ 1/24 (* 1/6 (/ 1 i))))
(* (pow i 2) (+ 1/24 (* 1/6 (/ 1 i))))
(* (pow i 2) (+ 1/24 (* 1/6 (/ 1 i))))
(* 1/24 (pow i 2))
(* (pow i 2) (+ 1/24 (* 1/6 (/ 1 i))))
(* (pow i 2) (+ 1/24 (* 1/6 (/ 1 i))))
(* (pow i 2) (+ 1/24 (* 1/6 (/ 1 i))))
(* -1/4 (/ i (pow n 3)))
(/ (+ (* -1/4 i) (* n (+ 1/3 (* 11/24 i)))) (pow n 3))
(/ (+ (* -1/4 i) (* n (+ 1/3 (+ (* -1/4 (* i n)) (* 11/24 i))))) (pow n 3))
(/ (+ (* -1/4 i) (* n (+ 1/3 (+ (* 11/24 i) (* n (+ (* -1/4 i) (* 1/24 (* i n)))))))) (pow n 3))
(* 1/24 i)
(+ (* -1/4 (/ i n)) (* 1/24 i))
(+ (* -1/4 (/ i n)) (+ (* 1/24 i) (+ (* 11/24 (/ i (pow n 2))) (/ 1/3 (pow n 2)))))
(+ (* -1/4 (/ i n)) (+ (* -1/4 (/ i (pow n 3))) (+ (* 1/24 i) (+ (* 11/24 (/ i (pow n 2))) (/ 1/3 (pow n 2))))))
(* 1/24 i)
(+ (* -1/4 (/ i n)) (* 1/24 i))
(+ (* -1 (/ (+ (* -1 (/ (+ 1/3 (* 11/24 i)) n)) (* 1/4 i)) n)) (* 1/24 i))
(+ (* -1 (/ (+ (* -1 (/ (+ 1/3 (+ (* -1/4 (/ i n)) (* 11/24 i))) n)) (* 1/4 i)) n)) (* 1/24 i))
(/ 1/3 (pow n 2))
(+ (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (* 1/3 (/ 1 (pow n 2))))
(+ (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (* 1/3 (/ 1 (pow n 2))))
(+ (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (* 1/3 (/ 1 (pow n 2))))
(* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))
(* i (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (* 1/3 (/ 1 (* i (pow n 2)))))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))
(* i (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (* 1/3 (/ 1 (* i (pow n 2)))))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))
(* i (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (* 1/3 (/ 1 (* i (pow n 2)))))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))
(* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))
(* -1 (* i (- (* -1 (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (* 1/3 (/ 1 (* i (pow n 2)))))))
(* -1 (* i (- (* -1 (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (* 1/3 (/ 1 (* i (pow n 2)))))))
(* -1 (* i (- (* -1 (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (* 1/3 (/ 1 (* i (pow n 2)))))))
(/ -1/4 (pow n 3))
(/ (- (* 11/24 n) 1/4) (pow n 3))
(/ (- (* n (+ 11/24 (* -1/4 n))) 1/4) (pow n 3))
(/ (- (* n (+ 11/24 (* -1/4 n))) 1/4) (pow n 3))
(/ -1/4 n)
(/ (- (* 11/24 (/ 1 n)) 1/4) n)
(/ (- (* 11/24 (/ 1 n)) (+ 1/4 (/ 1/4 (pow n 2)))) n)
(/ (- (* 11/24 (/ 1 n)) (+ 1/4 (/ 1/4 (pow n 2)))) n)
(/ -1/4 n)
(* -1 (/ (- 1/4 (* 11/24 (/ 1 n))) n))
(* -1 (/ (+ 1/4 (* -1 (/ (- 11/24 (* 1/4 (/ 1 n))) n))) n))
(* -1 (/ (+ 1/4 (* -1 (/ (- 11/24 (* 1/4 (/ 1 n))) n))) n))
(* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))
(* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))
(* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))
(* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))
(* (pow i 2) (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))
(* (pow i 2) (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (+ (/ 1/3 (* i (pow n 2))) (* 1/6 (/ 1 i))))) (+ (* 1/4 (/ 1 n)) (+ (* 1/4 (/ 1 (pow n 3))) (/ 1/2 (* i n))))))
(* (pow i 2) (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (+ (/ 1/3 (* i (pow n 2))) (* 1/6 (/ 1 i))))) (+ (* 1/4 (/ 1 n)) (+ (* 1/4 (/ 1 (pow n 3))) (/ 1/2 (* i n))))))
(* (pow i 2) (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (+ (/ 1/3 (* i (pow n 2))) (* 1/6 (/ 1 i))))) (+ (* 1/4 (/ 1 n)) (+ (* 1/4 (/ 1 (pow n 3))) (/ 1/2 (* i n))))))
(* (pow i 2) (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))
(* (pow i 2) (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (+ (/ 1/3 (* i (pow n 2))) (* 1/6 (/ 1 i))))) (+ (* 1/4 (/ 1 n)) (+ (* 1/4 (/ 1 (pow n 3))) (/ 1/2 (* i n))))))
(* (pow i 2) (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (+ (/ 1/3 (* i (pow n 2))) (* 1/6 (/ 1 i))))) (+ (* 1/4 (/ 1 n)) (+ (* 1/4 (/ 1 (pow n 3))) (/ 1/2 (* i n))))))
(* (pow i 2) (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (+ (/ 1/3 (* i (pow n 2))) (* 1/6 (/ 1 i))))) (+ (* 1/4 (/ 1 n)) (+ (* 1/4 (/ 1 (pow n 3))) (/ 1/2 (* i n))))))
(* -1/4 (/ (pow i 2) (pow n 3)))
(/ (+ (* -1/4 (pow i 2)) (* i (* n (+ 1/3 (* 11/24 i))))) (pow n 3))
(/ (+ (* -1/4 (pow i 2)) (* n (+ (* i (* n (- (* -1/4 i) 1/2))) (* i (+ 1/3 (* 11/24 i)))))) (pow n 3))
(/ (+ (* -1/4 (pow i 2)) (* n (+ (* i (+ 1/3 (* 11/24 i))) (* n (+ (* i (* n (+ 1/6 (* 1/24 i)))) (* i (- (* -1/4 i) 1/2))))))) (pow n 3))
(* i (+ 1/6 (* 1/24 i)))
(+ (* i (+ 1/6 (* 1/24 i))) (/ (* i (- (* -1/4 i) 1/2)) n))
(+ (* i (+ 1/6 (* 1/24 i))) (+ (/ (* i (+ 1/3 (* 11/24 i))) (pow n 2)) (/ (* i (- (* -1/4 i) 1/2)) n)))
(+ (* -1/4 (/ (pow i 2) (pow n 3))) (+ (* i (+ 1/6 (* 1/24 i))) (+ (/ (* i (+ 1/3 (* 11/24 i))) (pow n 2)) (/ (* i (- (* -1/4 i) 1/2)) n))))
(* i (+ 1/6 (* 1/24 i)))
(+ (* -1 (/ (* i (+ 1/2 (* 1/4 i))) n)) (* i (+ 1/6 (* 1/24 i))))
(+ (* -1 (/ (+ (* -1 (/ (* i (+ 1/3 (* 11/24 i))) n)) (* i (+ 1/2 (* 1/4 i)))) n)) (* i (+ 1/6 (* 1/24 i))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 2) n)) (* i (+ 1/3 (* 11/24 i)))) n)) (* i (+ 1/2 (* 1/4 i)))) n)) (* i (+ 1/6 (* 1/24 i))))
Outputs
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 (*.f64 n i) (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 (*.f64 n i) (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)))))))))
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/.f64 (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (*.f64 #s(literal 100 binary64) (+.f64 (/.f64 (*.f64 (*.f64 n (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (+.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) (*.f64 i i)) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i)))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(/.f64 (+.f64 (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (+.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))))) (*.f64 i i))) (*.f64 #s(literal 100 binary64) (+.f64 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64))))))) (*.f64 i (*.f64 i i))) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i)))) i)
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))))))) i)
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (+.f64 (*.f64 n (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i))) i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -100 binary64) n) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (*.f64 n (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (+.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) i))))) i)) i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -100 binary64) n) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 n n))) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal -100 binary64) n) (*.f64 (+.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))))))) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (+.f64 (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64)) (+.f64 (*.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)))))))) i)) i)) i)) i))
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n)))) i)
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))
(*.f64 (*.f64 n n) (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64))) i) (/.f64 #s(literal 1 binary64) (*.f64 i i)))) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
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(*.f64 (*.f64 i i) (+.f64 #s(literal 1/24 binary64) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) i) (/.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 n n))))) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 (/.f64 #s(literal 1/2 binary64) i) n))))))
(* (pow i 2) (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (+ (/ 1/3 (* i (pow n 2))) (* 1/6 (/ 1 i))))) (+ (* 1/4 (/ 1 n)) (+ (* 1/4 (/ 1 (pow n 3))) (/ 1/2 (* i n))))))
(*.f64 (*.f64 i i) (+.f64 #s(literal 1/24 binary64) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) i) (/.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 n n))))) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 (/.f64 #s(literal 1/2 binary64) i) n))))))
(* (pow i 2) (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))
(*.f64 (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))) (*.f64 i i))
(* (pow i 2) (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (+ (/ 1/3 (* i (pow n 2))) (* 1/6 (/ 1 i))))) (+ (* 1/4 (/ 1 n)) (+ (* 1/4 (/ 1 (pow n 3))) (/ 1/2 (* i n))))))
(*.f64 (*.f64 i i) (+.f64 #s(literal 1/24 binary64) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) i) (/.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 n n))))) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 (/.f64 #s(literal 1/2 binary64) i) n))))))
(* (pow i 2) (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (+ (/ 1/3 (* i (pow n 2))) (* 1/6 (/ 1 i))))) (+ (* 1/4 (/ 1 n)) (+ (* 1/4 (/ 1 (pow n 3))) (/ 1/2 (* i n))))))
(*.f64 (*.f64 i i) (+.f64 #s(literal 1/24 binary64) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) i) (/.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 n n))))) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 (/.f64 #s(literal 1/2 binary64) i) n))))))
(* (pow i 2) (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (+ (/ 1/3 (* i (pow n 2))) (* 1/6 (/ 1 i))))) (+ (* 1/4 (/ 1 n)) (+ (* 1/4 (/ 1 (pow n 3))) (/ 1/2 (* i n))))))
(*.f64 (*.f64 i i) (+.f64 #s(literal 1/24 binary64) (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) i) (/.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 n n))))) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 (/.f64 #s(literal 1/2 binary64) i) n))))))
(* -1/4 (/ (pow i 2) (pow n 3)))
(/.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n)))
(/ (+ (* -1/4 (pow i 2)) (* i (* n (+ 1/3 (* 11/24 i))))) (pow n 3))
(/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 (*.f64 n i) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))))) (*.f64 n (*.f64 n n)))
(/ (+ (* -1/4 (pow i 2)) (* n (+ (* i (* n (- (* -1/4 i) 1/2))) (* i (+ 1/3 (* 11/24 i)))))) (pow n 3))
(/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 n (*.f64 i (+.f64 (*.f64 n (+.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))))))) (*.f64 n (*.f64 n n)))
(/ (+ (* -1/4 (pow i 2)) (* n (+ (* i (+ 1/3 (* 11/24 i))) (* n (+ (* i (* n (+ 1/6 (* 1/24 i)))) (* i (- (* -1/4 i) 1/2))))))) (pow n 3))
(/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 n (+.f64 (*.f64 i (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 n (*.f64 i (+.f64 (*.f64 n (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))) (+.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n)))
(* i (+ 1/6 (* 1/24 i)))
(*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))
(+ (* i (+ 1/6 (* 1/24 i))) (/ (* i (- (* -1/4 i) 1/2)) n))
(+.f64 (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))) (/.f64 (*.f64 i (+.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal -1/2 binary64))) n))
(+ (* i (+ 1/6 (* 1/24 i))) (+ (/ (* i (+ 1/3 (* 11/24 i))) (pow n 2)) (/ (* i (- (* -1/4 i) 1/2)) n)))
(+.f64 (+.f64 (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))) (*.f64 i (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (*.f64 n n)))) (/.f64 (*.f64 i (+.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal -1/2 binary64))) n))
(+ (* -1/4 (/ (pow i 2) (pow n 3))) (+ (* i (+ 1/6 (* 1/24 i))) (+ (/ (* i (+ 1/3 (* 11/24 i))) (pow n 2)) (/ (* i (- (* -1/4 i) 1/2)) n))))
(+.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n))) (+.f64 (+.f64 (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))) (*.f64 i (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (*.f64 n n)))) (/.f64 (*.f64 i (+.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal -1/2 binary64))) n)))
(* i (+ 1/6 (* 1/24 i)))
(*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))
(+ (* -1 (/ (* i (+ 1/2 (* 1/4 i))) n)) (* i (+ 1/6 (* 1/24 i))))
(-.f64 (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))) (/.f64 (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/4 binary64)))) n))
(+ (* -1 (/ (+ (* -1 (/ (* i (+ 1/3 (* 11/24 i))) n)) (* i (+ 1/2 (* 1/4 i)))) n)) (* i (+ 1/6 (* 1/24 i))))
(-.f64 (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))) (/.f64 (-.f64 (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/4 binary64)))) (/.f64 (*.f64 i (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) n)) n))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 2) n)) (* i (+ 1/3 (* 11/24 i)))) n)) (* i (+ 1/2 (* 1/4 i)))) n)) (* i (+ 1/6 (* 1/24 i))))
(-.f64 (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))) (/.f64 (-.f64 (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/4 binary64)))) (/.f64 (+.f64 (*.f64 i (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (/.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) n)) n)) n))

eval150.0ms (0.9%)

Compiler

Compiled 38461 to 4234 computations (89% saved)

prune194.0ms (1.1%)

Pruning

62 alts after pruning (55 fresh and 7 done)

PrunedKeptTotal
New990251015
Fresh153045
Picked325
Done055
Total1008621070
Accuracy
99.9%
Counts
1070 → 62
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.9%
(/.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (/.f64 #s(literal 1 binary64) i))
21.3%
(/.f64 (+.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 i i)) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 n (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 i (+.f64 (*.f64 i (+.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))))))))))) (*.f64 n n))
19.8%
(/.f64 (+.f64 (*.f64 #s(literal -25 binary64) (*.f64 i (*.f64 i i))) (*.f64 n (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 i i)) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 n (+.f64 (*.f64 i #s(literal -50 binary64)) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))))))) (*.f64 n n))
47.1%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))))) (*.f64 #s(literal 100 binary64) n)) (-.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
55.9%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))) #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) n))
10.4%
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n)))) i)
71.7%
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
38.7%
(/.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 i n))
✓29.0%
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
16.6%
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
18.8%
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))))))
✓77.9%
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
38.7%
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) i))
50.2%
(/.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))))) (/.f64 (/.f64 (*.f64 i (+.f64 (*.f64 i (+.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) n) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))))))) n))
77.9%
(/.f64 #s(literal 100 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
46.2%
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 i n)))
✓44.7%
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
57.2%
(/.f64 #s(literal 100 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))))
39.0%
(/.f64 #s(literal 100 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (*.f64 i (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 n n)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))))) (/.f64 #s(literal 1/2 binary64) n))))))
45.9%
(/.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (/.f64 #s(literal 1 binary64) n) i)))
44.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100 binary64)))
28.9%
(+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 #s(literal 100 binary64) (/.f64 i n))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 100 binary64) (/.f64 i n))))
56.1%
(+.f64 (*.f64 i (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))) (*.f64 #s(literal 100 binary64) n))) (*.f64 #s(literal 100 binary64) n))
24.5%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 n (+.f64 (*.f64 n (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))) (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))) #s(literal -50 binary64))))))) (*.f64 n n))))
51.7%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 (*.f64 #s(literal 100/3 binary64) i) n))))
56.1%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 n #s(literal 50 binary64)) (*.f64 i (+.f64 (*.f64 (*.f64 n i) #s(literal 25/6 binary64)) (*.f64 n #s(literal 50/3 binary64)))))))
40.6%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 #s(literal -50 binary64) (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))))) (*.f64 n n)))))
50.5%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 n (+.f64 #s(literal 50 binary64) (/.f64 #s(literal -50 binary64) n)))))
50.7%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 n #s(literal 50 binary64))))
76.4%
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) #s(literal 100 binary64))
38.8%
(*.f64 (/.f64 i (/.f64 i n)) #s(literal 100 binary64))
37.9%
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) i)
46.3%
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 i n))
36.1%
(*.f64 (+.f64 (+.f64 (/.f64 n #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 n i)) (*.f64 #s(literal 100 binary64) i))
56.1%
(*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))))) #s(literal 100 binary64))
12.0%
(*.f64 (*.f64 n n) (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64))) i) (/.f64 #s(literal 1 binary64) (*.f64 i i)))) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
18.0%
(*.f64 (*.f64 i (*.f64 i i)) (+.f64 (*.f64 n #s(literal 25/6 binary64)) (/.f64 (*.f64 n #s(literal 50/3 binary64)) i)))
46.0%
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (-.f64 (*.f64 (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))) #s(literal 1 binary64)) (-.f64 (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))) #s(literal 1 binary64))))
48.5%
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 i (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))) i) (-.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
28.3%
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 i (*.f64 i i))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) i)) i)) #s(literal -1/24 binary64)))))
54.2%
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/6 binary64))))))
55.7%
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 i (*.f64 i i)))))
17.8%
(*.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 1/24 binary64) (*.f64 i (*.f64 i i))))
50.6%
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))
37.3%
(*.f64 i (/.f64 (*.f64 #s(literal 100 binary64) n) i))
36.1%
(*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 100 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i))) (/.f64 #s(literal -50 binary64) n))))
37.2%
(*.f64 i (*.f64 #s(literal 100 binary64) (/.f64 n i)))
25.0%
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 n (*.f64 n n)) #s(literal 8 binary64)) #s(literal -1/8 binary64)) (+.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (/.f64 n #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 n #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (/.f64 n i))))
29.8%
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 n i))))
✓2.8%
(*.f64 i #s(literal -50 binary64))
13.6%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 n i)) n) (*.f64 n (*.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
5.6%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) (/.f64 i n)))
45.7%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
✓29.0%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
7.3%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
13.4%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 n i)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
9.9%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
✓78.6%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
50.4%
(*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 i n)) (*.f64 i #s(literal 1/2 binary64))))))
36.4%
(*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i)))))
✓44.9%
(*.f64 #s(literal 100 binary64) n)
17.8%
(*.f64 #s(literal 25/6 binary64) (*.f64 n (*.f64 i (*.f64 i i))))
Compiler

Compiled 4192 to 1471 computations (64.9% saved)

regimes153.0ms (0.9%)

Counts
122 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (/.f64 n i)))
(*.f64 i (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 i n))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) i)
(*.f64 (/.f64 i (/.f64 i n)) #s(literal 100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100 binary64)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) i))
(/.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 i n))
(*.f64 #s(literal 25/6 binary64) (*.f64 n (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 n i))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 50 binary64) (*.f64 n i)))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 n #s(literal 50 binary64))))
(/.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (/.f64 #s(literal 1 binary64) n) i)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (/.f64 #s(literal 1 binary64) i))
(*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 1/24 binary64) (*.f64 i (*.f64 i i))))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 (+.f64 i #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) (/.f64 i n)))
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 i (*.f64 i i)))))
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/6 binary64))))))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))) i))
(*.f64 (+.f64 (+.f64 (/.f64 n #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 n i)) (*.f64 #s(literal 100 binary64) i))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 n (+.f64 #s(literal 50 binary64) (/.f64 #s(literal -50 binary64) n)))))
(*.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 i n)) (*.f64 i #s(literal 1/2 binary64))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 n i))))
(*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 100 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i))) (/.f64 #s(literal -50 binary64) n))))
(*.f64 (*.f64 i (*.f64 i i)) (+.f64 (*.f64 n #s(literal 25/6 binary64)) (/.f64 (*.f64 n #s(literal 50/3 binary64)) i)))
(*.f64 (*.f64 i (*.f64 i i)) (+.f64 (/.f64 #s(literal 275/6 binary64) n) (/.f64 #s(literal -25 binary64) (*.f64 n n))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 (*.f64 n i) #s(literal 50/3 binary64)) (*.f64 n #s(literal 50 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))) (/.f64 i n)))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
(*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))))) #s(literal 100 binary64))
(/.f64 #s(literal 100 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 #s(literal 100 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))))
(*.f64 (/.f64 (+.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))) #s(literal 0 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 n (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 (*.f64 n i) (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))))
(+.f64 (*.f64 i (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))) (*.f64 #s(literal 100 binary64) n))) (*.f64 #s(literal 100 binary64) n))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))) #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 n i)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 n #s(literal 50 binary64)) (*.f64 i (+.f64 (*.f64 (*.f64 n i) #s(literal 25/6 binary64)) (*.f64 n #s(literal 50/3 binary64)))))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 (*.f64 #s(literal 100/3 binary64) i) n))))
(/.f64 (/.f64 (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))) #s(literal 0 binary64))) i) (/.f64 #s(literal 1 binary64) n))
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 i (*.f64 i i))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) i)) i)) #s(literal -1/24 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 i #s(literal 1 binary64)) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (/.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 n n)))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))))) (*.f64 n n))))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 i (+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 n i))))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 #s(literal -50 binary64) (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))))) (*.f64 n n)))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 n (*.f64 n n)) #s(literal 8 binary64)) #s(literal -1/8 binary64)) (+.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (/.f64 n #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 n #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 i (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))) i) (-.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))))) (*.f64 n n)))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 #s(literal 1/24 binary64) (*.f64 n i))))))))
(/.f64 (+.f64 (*.f64 #s(literal -25 binary64) (*.f64 i (*.f64 i i))) (*.f64 n (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 i i)) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 n (+.f64 (*.f64 i #s(literal -50 binary64)) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))))))) (*.f64 n n))
(/.f64 (+.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 i i)) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 (*.f64 n i) (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))) #s(literal -50 binary64)))))) (*.f64 n n))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (-.f64 (*.f64 (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))) #s(literal 1 binary64)) (-.f64 (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))) #s(literal 1 binary64))))
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))))) (*.f64 #s(literal 100 binary64) n)) (-.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 (+.f64 (-.f64 (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 (*.f64 i #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -100 binary64) (*.f64 i (+.f64 (*.f64 i #s(literal -11/24 binary64)) #s(literal -1/3 binary64)))) n) (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))) #s(literal -50 binary64))) n)) #s(literal -50 binary64)) (-.f64 #s(literal 0 binary64) n))))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 i (+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 i (+.f64 (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/4 binary64) n))) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n i))))))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 (*.f64 i (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 i (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/4 binary64) n))) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) (/.f64 i n)))
(/.f64 #s(literal 100 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (*.f64 i (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) n)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 n n))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (/.f64 #s(literal -1/2 binary64) n))))))
(/.f64 #s(literal 100 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (*.f64 i (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 n n)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))))) (/.f64 #s(literal 1/2 binary64) n))))))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))))))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))))))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 n (+.f64 (*.f64 n (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))) (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))) #s(literal -50 binary64))))))) (*.f64 n n))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/4 binary64) n))) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n i))))))))
(/.f64 (+.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 i i)) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 n (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 i (+.f64 (*.f64 i (+.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))))))))))) (*.f64 n n))
(/.f64 (+.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 i i)) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 n (+.f64 (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))) #s(literal -50 binary64))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))))))) (*.f64 n n))
(/.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))))) (/.f64 (/.f64 (*.f64 i (+.f64 (*.f64 i (+.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) n) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))))))) n))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 625 binary64)) (*.f64 #s(literal 10000 binary64) (*.f64 (*.f64 (*.f64 i n) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 (*.f64 i n) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))))))) (-.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (*.f64 i (*.f64 #s(literal 100 binary64) n))))) (*.f64 n n)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))) (*.f64 i (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))) (+.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))) #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 i n)))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 121/576 binary64) (*.f64 (*.f64 n n) (*.f64 n n))) (*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)))) (*.f64 n n)) (*.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))) (*.f64 n n))) (*.f64 n i))))))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) #s(literal 100 binary64))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
(+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 100 binary64) (/.f64 i n))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 100 binary64) (/.f64 i n))))
(+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 #s(literal 100 binary64) (/.f64 i n))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 100 binary64) (/.f64 i n))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) i) (*.f64 (/.f64 #s(literal 1 binary64) n) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) n)) i) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 i n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 n i)) (/.f64 #s(literal 1 binary64) (*.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) i)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 n i)) n) (*.f64 n (*.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 n i)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) n) (/.f64 #s(literal 1 binary64) (*.f64 n i)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) n) (/.f64 (/.f64 #s(literal 1 binary64) n) n))))
(fma.f64 n #s(literal 100 binary64) (*.f64 i (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 (+.f64 (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/6 binary64)))) (*.f64 n (*.f64 i (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))))))) (*.f64 #s(literal 100 binary64) i)))))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n)))) i)
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)
(*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i)))
(/.f64 #s(literal 100 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))))))
(*.f64 (*.f64 n n) (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64))) i) (/.f64 #s(literal 1 binary64) (*.f64 i i)))) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 n (*.f64 n (+.f64 (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (log.f64 i) (log.f64 n))) i) (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 (*.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) i)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) (*.f64 n (+.f64 (-.f64 (+.f64 (*.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) i)) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (/.f64 (log.f64 n) i) i)) (/.f64 #s(literal -1/2 binary64) (*.f64 i (*.f64 i i))))))))))))
(*.f64 (*.f64 n n) (+.f64 (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (log.f64 i) (log.f64 n))) i) (*.f64 n (+.f64 (+.f64 (/.f64 #s(literal 100 binary64) (*.f64 i i)) (*.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) #s(literal 50 binary64))) (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 (+.f64 (-.f64 (+.f64 (*.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) i)) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (/.f64 (log.f64 n) i) i)) (/.f64 #s(literal -1/2 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n (+.f64 (*.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (/.f64 #s(literal -1/2 binary64) i)) (+.f64 (*.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 4 binary64)) (/.f64 #s(literal 1/24 binary64) i)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 i (*.f64 i i))) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) i)) i) (/.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 4 binary64))))))))))))))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 i n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 #s(literal 100 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
Calls

4 calls:

37.0ms
i
33.0ms
n
31.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
28.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
90.2%3i
92.8%3n
99.7%4(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
99.7%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes148.0ms (0.8%)

Counts
110 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (/.f64 n i)))
(*.f64 i (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 i n))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) i)
(*.f64 (/.f64 i (/.f64 i n)) #s(literal 100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100 binary64)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) i))
(/.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 i n))
(*.f64 #s(literal 25/6 binary64) (*.f64 n (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 n i))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 50 binary64) (*.f64 n i)))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 n #s(literal 50 binary64))))
(/.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (/.f64 #s(literal 1 binary64) n) i)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (/.f64 #s(literal 1 binary64) i))
(*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 1/24 binary64) (*.f64 i (*.f64 i i))))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 (+.f64 i #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) (/.f64 i n)))
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 i (*.f64 i i)))))
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/6 binary64))))))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))) i))
(*.f64 (+.f64 (+.f64 (/.f64 n #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 n i)) (*.f64 #s(literal 100 binary64) i))
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(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))) (*.f64 i (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))) (+.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))) #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 i n)))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 121/576 binary64) (*.f64 (*.f64 n n) (*.f64 n n))) (*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)))) (*.f64 n n)) (*.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))) (*.f64 n n))) (*.f64 n i))))))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) #s(literal 100 binary64))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
(+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 100 binary64) (/.f64 i n))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 100 binary64) (/.f64 i n))))
(+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 #s(literal 100 binary64) (/.f64 i n))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 100 binary64) (/.f64 i n))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) i) (*.f64 (/.f64 #s(literal 1 binary64) n) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) n)) i) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 i n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 n i)) (/.f64 #s(literal 1 binary64) (*.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) i)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 n i)) n) (*.f64 n (*.f64 n i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 n i)) (/.f64 (/.f64 #s(literal 1 binary64) n) n)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) n) (/.f64 #s(literal 1 binary64) (*.f64 n i)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) n) (/.f64 (/.f64 #s(literal 1 binary64) n) n))))
(fma.f64 n #s(literal 100 binary64) (*.f64 i (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 (+.f64 (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/6 binary64)))) (*.f64 n (*.f64 i (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))))))) (*.f64 #s(literal 100 binary64) i)))))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
Outputs
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) #s(literal 100 binary64))
(/.f64 #s(literal 100 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) #s(literal 100 binary64))
Calls

4 calls:

36.0ms
i
35.0ms
n
32.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
26.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
79.8%3i
83.1%3n
83.8%4(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
83.8%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes57.0ms (0.3%)

Counts
94 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (/.f64 n i)))
(*.f64 i (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 i n))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) i)
(*.f64 (/.f64 i (/.f64 i n)) #s(literal 100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100 binary64)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) i))
(/.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 i n))
(*.f64 #s(literal 25/6 binary64) (*.f64 n (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 n i))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 50 binary64) (*.f64 n i)))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 n #s(literal 50 binary64))))
(/.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (/.f64 #s(literal 1 binary64) n) i)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (/.f64 #s(literal 1 binary64) i))
(*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 1/24 binary64) (*.f64 i (*.f64 i i))))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 (+.f64 i #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) (/.f64 i n)))
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 i (*.f64 i i)))))
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/6 binary64))))))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))) i))
(*.f64 (+.f64 (+.f64 (/.f64 n #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 n i)) (*.f64 #s(literal 100 binary64) i))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 n (+.f64 #s(literal 50 binary64) (/.f64 #s(literal -50 binary64) n)))))
(*.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 i n)) (*.f64 i #s(literal 1/2 binary64))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 n i))))
(*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 100 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i))) (/.f64 #s(literal -50 binary64) n))))
(*.f64 (*.f64 i (*.f64 i i)) (+.f64 (*.f64 n #s(literal 25/6 binary64)) (/.f64 (*.f64 n #s(literal 50/3 binary64)) i)))
(*.f64 (*.f64 i (*.f64 i i)) (+.f64 (/.f64 #s(literal 275/6 binary64) n) (/.f64 #s(literal -25 binary64) (*.f64 n n))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 (*.f64 n i) #s(literal 50/3 binary64)) (*.f64 n #s(literal 50 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))) (/.f64 i n)))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
(*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))))) #s(literal 100 binary64))
(/.f64 #s(literal 100 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 #s(literal 100 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))))
(*.f64 (/.f64 (+.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))) #s(literal 0 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 n (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 (*.f64 n i) (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))))
(+.f64 (*.f64 i (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))) (*.f64 #s(literal 100 binary64) n))) (*.f64 #s(literal 100 binary64) n))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))) #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 n i)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 n #s(literal 50 binary64)) (*.f64 i (+.f64 (*.f64 (*.f64 n i) #s(literal 25/6 binary64)) (*.f64 n #s(literal 50/3 binary64)))))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 (*.f64 #s(literal 100/3 binary64) i) n))))
(/.f64 (/.f64 (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))) #s(literal 0 binary64))) i) (/.f64 #s(literal 1 binary64) n))
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 i (*.f64 i i))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) i)) i)) #s(literal -1/24 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 i #s(literal 1 binary64)) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (/.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 n n)))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))))) (*.f64 n n))))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 i (+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 n i))))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 #s(literal -50 binary64) (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))))) (*.f64 n n)))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 n (*.f64 n n)) #s(literal 8 binary64)) #s(literal -1/8 binary64)) (+.f64 (*.f64 (/.f64 n #s(literal 2 binary64)) (/.f64 n #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 n #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 i (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))) i) (-.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))))) (*.f64 n n)))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 #s(literal 1/24 binary64) (*.f64 n i))))))))
(/.f64 (+.f64 (*.f64 #s(literal -25 binary64) (*.f64 i (*.f64 i i))) (*.f64 n (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 i i)) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 n (+.f64 (*.f64 i #s(literal -50 binary64)) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))))))) (*.f64 n n))
(/.f64 (+.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 i i)) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 (*.f64 n i) (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))) #s(literal -50 binary64)))))) (*.f64 n n))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (-.f64 (*.f64 (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))) #s(literal 1 binary64)) (-.f64 (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))) #s(literal 1 binary64))))
(*.f64 (*.f64 i (*.f64 i i)) (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 (-.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))) (/.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) i)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))))) (*.f64 #s(literal 100 binary64) n)) (-.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 (+.f64 (-.f64 (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 (*.f64 i #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -100 binary64) (*.f64 i (+.f64 (*.f64 i #s(literal -11/24 binary64)) #s(literal -1/3 binary64)))) n) (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))) #s(literal -50 binary64))) n)) #s(literal -50 binary64)) (-.f64 #s(literal 0 binary64) n))))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 i (+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 i (+.f64 (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/4 binary64) n))) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n i))))))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 (*.f64 i (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 i (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/4 binary64) n))) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) (/.f64 i n)))
(/.f64 #s(literal 100 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (*.f64 i (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) n)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 n n))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (/.f64 #s(literal -1/2 binary64) n))))))
(/.f64 #s(literal 100 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (*.f64 i (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 n n)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))))) (/.f64 #s(literal 1/2 binary64) n))))))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))))))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))))))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 n (+.f64 (*.f64 n (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))) (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))) #s(literal -50 binary64))))))) (*.f64 n n))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/4 binary64) n))) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n i))))))))
(/.f64 (+.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 i i)) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 n (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 i (+.f64 (*.f64 i (+.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))))))))))) (*.f64 n n))
(/.f64 (+.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 i i)) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 n (+.f64 (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))) #s(literal -50 binary64))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))))))) (*.f64 n n))
(/.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))))) (/.f64 (/.f64 (*.f64 i (+.f64 (*.f64 i (+.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) n) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))))))) n))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 625 binary64)) (*.f64 #s(literal 10000 binary64) (*.f64 (*.f64 (*.f64 i n) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64)))) (*.f64 (*.f64 i n) (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))))))) (-.f64 (*.f64 (*.f64 i i) #s(literal -25 binary64)) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 i #s(literal 11/24 binary64))) (*.f64 i (*.f64 #s(literal 100 binary64) n))))) (*.f64 n n)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))) (*.f64 i (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))) (+.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))) #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 i n)))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 121/576 binary64) (*.f64 (*.f64 n n) (*.f64 n n))) (*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)))) (*.f64 n n)) (*.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))) (*.f64 n n))) (*.f64 n i))))))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(/.f64 #s(literal 100 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
Calls

1 calls:

40.0ms
n
Results
AccuracySegmentsBranch
83.1%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes58.0ms (0.3%)

Counts
92 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (/.f64 n i)))
(*.f64 i (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 i n))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) i)
(*.f64 (/.f64 i (/.f64 i n)) #s(literal 100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100 binary64)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) i))
(/.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 i n))
(*.f64 #s(literal 25/6 binary64) (*.f64 n (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 n i))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 50 binary64) (*.f64 n i)))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 n #s(literal 50 binary64))))
(/.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (/.f64 #s(literal 1 binary64) n) i)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (/.f64 #s(literal 1 binary64) i))
(*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 1/24 binary64) (*.f64 i (*.f64 i i))))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 (+.f64 i #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) (/.f64 i n)))
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 i (*.f64 i i)))))
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/6 binary64))))))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))) i))
(*.f64 (+.f64 (+.f64 (/.f64 n #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 n i)) (*.f64 #s(literal 100 binary64) i))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 n (+.f64 #s(literal 50 binary64) (/.f64 #s(literal -50 binary64) n)))))
(*.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 i n)) (*.f64 i #s(literal 1/2 binary64))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 n i))))
(*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 100 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i))) (/.f64 #s(literal -50 binary64) n))))
(*.f64 (*.f64 i (*.f64 i i)) (+.f64 (*.f64 n #s(literal 25/6 binary64)) (/.f64 (*.f64 n #s(literal 50/3 binary64)) i)))
(*.f64 (*.f64 i (*.f64 i i)) (+.f64 (/.f64 #s(literal 275/6 binary64) n) (/.f64 #s(literal -25 binary64) (*.f64 n n))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 (*.f64 n i) #s(literal 50/3 binary64)) (*.f64 n #s(literal 50 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))) (/.f64 i n)))
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(/.f64 #s(literal 100 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (*.f64 i (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) n)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 n n))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (/.f64 #s(literal -1/2 binary64) n))))))
(/.f64 #s(literal 100 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (*.f64 i (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 n n)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))))) (/.f64 #s(literal 1/2 binary64) n))))))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (*.f64 i (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))))))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))))))))
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(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/4 binary64) n))) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n i))))))))
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(/.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))))) (/.f64 (/.f64 (*.f64 i (+.f64 (*.f64 i (+.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) n) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))))))) n))
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(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 121/576 binary64) (*.f64 (*.f64 n n) (*.f64 n n))) (*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)))) (*.f64 n n)) (*.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))) (*.f64 n n))) (*.f64 n i))))))))
Outputs
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/6 binary64))))))
(/.f64 #s(literal 100 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 n (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
Calls

2 calls:

26.0ms
n
25.0ms
i
Results
AccuracySegmentsBranch
70.0%4i
68.7%3n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes19.0ms (0.1%)

Counts
51 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (/.f64 n i)))
(*.f64 i (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 i n))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) i)
(*.f64 (/.f64 i (/.f64 i n)) #s(literal 100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100 binary64)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) i))
(/.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 i n))
(*.f64 #s(literal 25/6 binary64) (*.f64 n (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 n i))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 50 binary64) (*.f64 n i)))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 n #s(literal 50 binary64))))
(/.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (/.f64 #s(literal 1 binary64) n) i)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (/.f64 #s(literal 1 binary64) i))
(*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 1/24 binary64) (*.f64 i (*.f64 i i))))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 (+.f64 i #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) (/.f64 i n)))
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 i (*.f64 i i)))))
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/6 binary64))))))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))) i))
(*.f64 (+.f64 (+.f64 (/.f64 n #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 n i)) (*.f64 #s(literal 100 binary64) i))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 n (+.f64 #s(literal 50 binary64) (/.f64 #s(literal -50 binary64) n)))))
(*.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 i n)) (*.f64 i #s(literal 1/2 binary64))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 n i))))
(*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 100 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i))) (/.f64 #s(literal -50 binary64) n))))
(*.f64 (*.f64 i (*.f64 i i)) (+.f64 (*.f64 n #s(literal 25/6 binary64)) (/.f64 (*.f64 n #s(literal 50/3 binary64)) i)))
(*.f64 (*.f64 i (*.f64 i i)) (+.f64 (/.f64 #s(literal 275/6 binary64) n) (/.f64 #s(literal -25 binary64) (*.f64 n n))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 (*.f64 n i) #s(literal 50/3 binary64)) (*.f64 n #s(literal 50 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))) (/.f64 i n)))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
(*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))))) #s(literal 100 binary64))
(/.f64 #s(literal 100 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 #s(literal 100 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))))
(*.f64 (/.f64 (+.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))) #s(literal 0 binary64)) i) (*.f64 #s(literal 100 binary64) n))
Outputs
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/6 binary64))))))
(/.f64 #s(literal 100 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
Calls

1 calls:

15.0ms
n
Results
AccuracySegmentsBranch
68.7%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes32.0ms (0.2%)

Counts
48 → 5
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (/.f64 n i)))
(*.f64 i (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 i n))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) i)
(*.f64 (/.f64 i (/.f64 i n)) #s(literal 100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100 binary64)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) i))
(/.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 i n))
(*.f64 #s(literal 25/6 binary64) (*.f64 n (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 n i))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 50 binary64) (*.f64 n i)))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 n #s(literal 50 binary64))))
(/.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (/.f64 #s(literal 1 binary64) n) i)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (/.f64 #s(literal 1 binary64) i))
(*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 1/24 binary64) (*.f64 i (*.f64 i i))))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 (+.f64 i #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) (/.f64 i n)))
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 i (*.f64 i i)))))
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/6 binary64))))))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))) i))
(*.f64 (+.f64 (+.f64 (/.f64 n #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 n i)) (*.f64 #s(literal 100 binary64) i))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 n (+.f64 #s(literal 50 binary64) (/.f64 #s(literal -50 binary64) n)))))
(*.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 i n)) (*.f64 i #s(literal 1/2 binary64))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 n i))))
(*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 100 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i))) (/.f64 #s(literal -50 binary64) n))))
(*.f64 (*.f64 i (*.f64 i i)) (+.f64 (*.f64 n #s(literal 25/6 binary64)) (/.f64 (*.f64 n #s(literal 50/3 binary64)) i)))
(*.f64 (*.f64 i (*.f64 i i)) (+.f64 (/.f64 #s(literal 275/6 binary64) n) (/.f64 #s(literal -25 binary64) (*.f64 n n))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 (*.f64 n i) #s(literal 50/3 binary64)) (*.f64 n #s(literal 50 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))) (/.f64 i n)))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
(*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64)))))))) #s(literal 100 binary64))
Outputs
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 i (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))
Calls

2 calls:

14.0ms
n
14.0ms
i
Results
AccuracySegmentsBranch
62.2%2i
68.2%5n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes16.0ms (0.1%)

Counts
45 → 5
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (/.f64 n i)))
(*.f64 i (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 i n))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) i)
(*.f64 (/.f64 i (/.f64 i n)) #s(literal 100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100 binary64)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) i))
(/.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 i n))
(*.f64 #s(literal 25/6 binary64) (*.f64 n (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 n i))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 50 binary64) (*.f64 n i)))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 n #s(literal 50 binary64))))
(/.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (/.f64 #s(literal 1 binary64) n) i)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (/.f64 #s(literal 1 binary64) i))
(*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 1/24 binary64) (*.f64 i (*.f64 i i))))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 (+.f64 i #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) (/.f64 i n)))
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 i (*.f64 i i)))))
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/6 binary64))))))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))) i))
(*.f64 (+.f64 (+.f64 (/.f64 n #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 n i)) (*.f64 #s(literal 100 binary64) i))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 n (+.f64 #s(literal 50 binary64) (/.f64 #s(literal -50 binary64) n)))))
(*.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 i n)) (*.f64 i #s(literal 1/2 binary64))))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 n i))))
(*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 100 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i))) (/.f64 #s(literal -50 binary64) n))))
(*.f64 (*.f64 i (*.f64 i i)) (+.f64 (*.f64 n #s(literal 25/6 binary64)) (/.f64 (*.f64 n #s(literal 50/3 binary64)) i)))
(*.f64 (*.f64 i (*.f64 i i)) (+.f64 (/.f64 #s(literal 275/6 binary64) n) (/.f64 #s(literal -25 binary64) (*.f64 n n))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 (*.f64 n i) #s(literal 50/3 binary64)) (*.f64 n #s(literal 50 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))) (/.f64 i n)))
Outputs
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/6 binary64))))))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 i (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 i (*.f64 i i)))))
Calls

1 calls:

13.0ms
n
Results
AccuracySegmentsBranch
67.8%5n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts
32 → 5
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (/.f64 n i)))
(*.f64 i (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 i n))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) i)
(*.f64 (/.f64 i (/.f64 i n)) #s(literal 100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100 binary64)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) i))
(/.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 i n))
(*.f64 #s(literal 25/6 binary64) (*.f64 n (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 n i))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 50 binary64) (*.f64 n i)))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 n #s(literal 50 binary64))))
(/.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (/.f64 #s(literal 1 binary64) n) i)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (/.f64 #s(literal 1 binary64) i))
(*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 1/24 binary64) (*.f64 i (*.f64 i i))))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 (+.f64 i #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) (/.f64 i n)))
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 i (*.f64 i i)))))
Outputs
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 i (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 i (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 i (*.f64 i i)))))
Calls

1 calls:

11.0ms
n
Results
AccuracySegmentsBranch
67.6%5n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.1%)

Counts
31 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (/.f64 n i)))
(*.f64 i (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 i n))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) i)
(*.f64 (/.f64 i (/.f64 i n)) #s(literal 100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100 binary64)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) i))
(/.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 i n))
(*.f64 #s(literal 25/6 binary64) (*.f64 n (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 n i))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 50 binary64) (*.f64 n i)))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 n #s(literal 50 binary64))))
(/.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (/.f64 #s(literal 1 binary64) n) i)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (/.f64 #s(literal 1 binary64) i))
(*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 1/24 binary64) (*.f64 i (*.f64 i i))))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 (+.f64 i #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) (/.f64 i n)))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
Calls

2 calls:

9.0ms
n
9.0ms
i
Results
AccuracySegmentsBranch
62.5%3i
65.0%6n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
28 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (/.f64 n i)))
(*.f64 i (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 i n))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) i)
(*.f64 (/.f64 i (/.f64 i n)) #s(literal 100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100 binary64)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) i))
(/.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 i n))
(*.f64 #s(literal 25/6 binary64) (*.f64 n (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 n i))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 50 binary64) (*.f64 n i)))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 n #s(literal 50 binary64))))
(/.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (/.f64 #s(literal 1 binary64) n) i)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (/.f64 #s(literal 1 binary64) i))
(*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 1/24 binary64) (*.f64 i (*.f64 i i))))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 (+.f64 i #s(literal 1 binary64)) #s(literal -1 binary64))))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 50 binary64) (*.f64 n i)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
Calls

1 calls:

9.0ms
i
Results
AccuracySegmentsBranch
62.4%3i
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0%)

Counts
25 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (/.f64 n i)))
(*.f64 i (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 i n))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) i)
(*.f64 (/.f64 i (/.f64 i n)) #s(literal 100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100 binary64)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) i))
(/.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 i n))
(*.f64 #s(literal 25/6 binary64) (*.f64 n (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 n i))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 50 binary64) (*.f64 n i)))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 n #s(literal 50 binary64))))
(/.f64 #s(literal 100 binary64) (*.f64 i (/.f64 (/.f64 #s(literal 1 binary64) n) i)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (/.f64 #s(literal 1 binary64) i))
(*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 50 binary64) (*.f64 n i)))
(*.f64 #s(literal 25/6 binary64) (*.f64 n (*.f64 i (*.f64 i i))))
Calls

1 calls:

7.0ms
i
Results
AccuracySegmentsBranch
62.0%3i
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0%)

Counts
18 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (/.f64 n i)))
(*.f64 i (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 i n))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) i)
(*.f64 (/.f64 i (/.f64 i n)) #s(literal 100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100 binary64)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) i))
(/.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 i n))
(*.f64 #s(literal 25/6 binary64) (*.f64 n (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 n i))))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))
(*.f64 #s(literal 25/6 binary64) (*.f64 n (*.f64 i (*.f64 i i))))
Calls

1 calls:

5.0ms
i
Results
AccuracySegmentsBranch
62.0%3i
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts
16 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (/.f64 n i)))
(*.f64 i (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 i n))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) i)
(*.f64 (/.f64 i (/.f64 i n)) #s(literal 100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100 binary64)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) i))
(/.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 i n))
(*.f64 #s(literal 25/6 binary64) (*.f64 n (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/2 binary64)))))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))
(*.f64 #s(literal 25/6 binary64) (*.f64 n (*.f64 i (*.f64 i i))))
Calls

2 calls:

6.0ms
i
5.0ms
n
Results
AccuracySegmentsBranch
61.1%4n
60.1%3i
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
14 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (/.f64 n i)))
(*.f64 i (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 i n))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) i)
(*.f64 (/.f64 i (/.f64 i n)) #s(literal 100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100 binary64)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) i))
(/.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 i n))
Outputs
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))
Calls

2 calls:

4.0ms
i
4.0ms
n
Results
AccuracySegmentsBranch
58.5%3n
56.1%2i
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts
7 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (/.f64 n i)))
(*.f64 i (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))
Outputs
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))
Calls

1 calls:

3.0ms
n
Results
AccuracySegmentsBranch
58.4%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Counts
6 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 i (*.f64 #s(literal 100 binary64) (/.f64 n i)))
(*.f64 i (/.f64 (*.f64 #s(literal 100 binary64) n) i))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 #s(literal 100 binary64) n)
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
Calls

2 calls:

3.0ms
n
3.0ms
i
Results
AccuracySegmentsBranch
52.3%3i
52.3%3n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -27.0b remaining (-76.6%)

Threshold costs -27b (-76.6%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
Outputs
(*.f64 #s(literal 100 binary64) n)
Calls

2 calls:

2.0ms
n
2.0ms
i
Results
AccuracySegmentsBranch
44.9%1n
44.9%1i
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
0.0
1.9574166147751994e-108
0.0ms
-4.491388499330835e-29
-1.3622803444520564e-30
Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch103.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
66.0ms
3.584508320246286e-38
3.898033494168653e-26
31.0ms
-0.008973039831982084
-0.0006533838298990257
Results
68.0ms212×1valid
7.0ms35×0valid
6.0ms9×2valid
5.0ms75×0invalid
Compiler

Compiled 518 to 382 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-pow: 40.0ms (56.8% of total)
ival-div: 12.0ms (17.1% of total)
backward-pass: 7.0ms (9.9% of total)
ival-mult: 4.0ms (5.7% of total)
ival-add: 3.0ms (4.3% of total)
ival-sub: 3.0ms (4.3% of total)
const: 1.0ms (1.4% of total)

bsearch116.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
69.0ms
3.584508320246286e-38
3.898033494168653e-26
32.0ms
-0.008973039831982084
-0.0006533838298990257
Results
61.0ms202×1valid
15.0ms15×2valid
5.0ms76×0invalid
3.0ms39×0valid
Compiler

Compiled 518 to 382 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-pow: 40.0ms (58.1% of total)
ival-div: 14.0ms (20.3% of total)
ival-mult: 4.0ms (5.8% of total)
ival-add: 3.0ms (4.4% of total)
backward-pass: 3.0ms (4.4% of total)
ival-sub: 3.0ms (4.4% of total)
const: 1.0ms (1.5% of total)

bsearch134.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
72.0ms
3.584508320246286e-38
3.898033494168653e-26
55.0ms
-1.6431732966720208e+174
-7.103528391975882e+170
Results
88.0ms230×1valid
14.0ms20×2valid
4.0ms38×0valid
3.0ms55×0invalid
Compiler

Compiled 730 to 548 computations (24.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-pow: 67.0ms (72.3% of total)
ival-div: 9.0ms (9.7% of total)
backward-pass: 4.0ms (4.3% of total)
ival-sub: 4.0ms (4.3% of total)
ival-mult: 4.0ms (4.3% of total)
ival-add: 3.0ms (3.2% of total)
const: 1.0ms (1.1% of total)

bsearch134.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
66.0ms
3.584508320246286e-38
3.898033494168653e-26
63.0ms
-1.6431732966720208e+174
-7.103528391975882e+170
Results
98.0ms238×1valid
12.0ms18×2valid
4.0ms32×0valid
3.0ms44×0invalid
Compiler

Compiled 710 to 538 computations (24.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-pow: 70.0ms (70.8% of total)
ival-div: 14.0ms (14.2% of total)
backward-pass: 4.0ms (4% of total)
ival-sub: 4.0ms (4% of total)
ival-mult: 4.0ms (4% of total)
ival-add: 3.0ms (3% of total)
const: 1.0ms (1% of total)

bsearch174.0ms (1%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
67.0ms
3.584508320246286e-38
3.898033494168653e-26
24.0ms
2.0877857482761215e-222
6.713191881731697e-222
31.0ms
-6.536542083765143e-217
-2.859130893881249e-219
41.0ms
-7.568995372579668e+63
-8.965344656664613e+60
Results
112.0ms351×1valid
12.0ms211×0invalid
10.0ms118×0valid
7.0ms11×2valid
Compiler

Compiled 818 to 586 computations (28.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 114.0ms
ival-pow: 73.0ms (64.2% of total)
ival-div: 16.0ms (14.1% of total)
ival-mult: 7.0ms (6.2% of total)
ival-add: 5.0ms (4.4% of total)
backward-pass: 5.0ms (4.4% of total)
ival-sub: 5.0ms (4.4% of total)
const: 2.0ms (1.8% of total)

bsearch168.0ms (1%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
55.0ms
7.756751844855146e-47
2.1564967751500236e-39
24.0ms
2.0877857482761215e-222
6.713191881731697e-222
38.0ms
-6.536542083765143e-217
-2.859130893881249e-219
41.0ms
-7.568995372579668e+63
-8.965344656664613e+60
Results
112.0ms354×1valid
14.0ms193×0invalid
9.0ms106×0valid
2.0ms4×2valid
Compiler

Compiled 752 to 537 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 111.0ms
ival-pow: 70.0ms (63.1% of total)
ival-div: 15.0ms (13.5% of total)
ival-mult: 9.0ms (8.1% of total)
ival-add: 5.0ms (4.5% of total)
backward-pass: 5.0ms (4.5% of total)
ival-sub: 5.0ms (4.5% of total)
const: 1.0ms (0.9% of total)

bsearch165.0ms (0.9%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
52.0ms
7.756751844855146e-47
2.1564967751500236e-39
23.0ms
2.0877857482761215e-222
6.713191881731697e-222
36.0ms
-6.536542083765143e-217
-2.859130893881249e-219
44.0ms
-7.568995372579668e+63
-8.965344656664613e+60
Results
111.0ms363×1valid
11.0ms101×0valid
11.0ms189×0invalid
Compiler

Compiled 752 to 529 computations (29.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
ival-pow: 65.0ms (60.5% of total)
ival-div: 15.0ms (14% of total)
ival-mult: 9.0ms (8.4% of total)
ival-add: 7.0ms (6.5% of total)
ival-sub: 5.0ms (4.7% of total)
backward-pass: 5.0ms (4.7% of total)
const: 1.0ms (0.9% of total)

bsearch114.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
58.0ms
155.68729051890577
11171.550091420608
50.0ms
-3297247032387.1836
-1.323364973427338
Results
93.0ms262×1valid
3.0ms57×0invalid
1.0ms10×0valid
Compiler

Compiled 512 to 371 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-pow: 51.0ms (68.4% of total)
ival-div: 9.0ms (12.1% of total)
backward-pass: 4.0ms (5.4% of total)
ival-mult: 4.0ms (5.4% of total)
ival-sub: 3.0ms (4% of total)
ival-add: 3.0ms (4% of total)
const: 1.0ms (1.3% of total)

bsearch108.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
48.0ms
155.68729051890577
11171.550091420608
54.0ms
-3297247032387.1836
-1.323364973427338
Results
82.0ms263×1valid
6.0ms55×0invalid
1.0ms9×0valid
Compiler

Compiled 444 to 320 computations (27.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-pow: 47.0ms (64.2% of total)
ival-div: 12.0ms (16.4% of total)
backward-pass: 4.0ms (5.5% of total)
ival-mult: 4.0ms (5.5% of total)
ival-add: 3.0ms (4.1% of total)
ival-sub: 3.0ms (4.1% of total)
const: 1.0ms (1.4% of total)

bsearch104.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
45.0ms
6.848085196212946e+21
1.5084714652363721e+25
53.0ms
-3297247032387.1836
-1.323364973427338
Results
79.0ms257×1valid
4.0ms69×0invalid
3.0ms31×0valid
Compiler

Compiled 454 to 330 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-pow: 44.0ms (65.1% of total)
ival-div: 9.0ms (13.3% of total)
backward-pass: 4.0ms (5.9% of total)
ival-mult: 4.0ms (5.9% of total)
ival-add: 3.0ms (4.4% of total)
ival-sub: 3.0ms (4.4% of total)
const: 1.0ms (1.5% of total)

bsearch102.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
46.0ms
6.848085196212946e+21
1.5084714652363721e+25
50.0ms
-3297247032387.1836
-1.323364973427338
Results
79.0ms263×1valid
3.0ms47×0invalid
3.0ms25×0valid
Compiler

Compiled 418 to 312 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-pow: 42.0ms (64.3% of total)
ival-div: 9.0ms (13.8% of total)
backward-pass: 4.0ms (6.1% of total)
ival-mult: 4.0ms (6.1% of total)
ival-add: 3.0ms (4.6% of total)
ival-sub: 3.0ms (4.6% of total)
const: 1.0ms (1.5% of total)

bsearch104.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
46.0ms
6.848085196212946e+21
1.5084714652363721e+25
52.0ms
-3297247032387.1836
-1.323364973427338
Results
80.0ms259×1valid
4.0ms67×0invalid
3.0ms29×0valid
Compiler

Compiled 398 to 292 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-pow: 44.0ms (62.6% of total)
ival-div: 11.0ms (15.7% of total)
backward-pass: 4.0ms (5.7% of total)
ival-mult: 4.0ms (5.7% of total)
ival-add: 3.0ms (4.3% of total)
ival-sub: 3.0ms (4.3% of total)
const: 1.0ms (1.4% of total)

bsearch126.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
62.0ms
3.584508320246286e-38
3.898033494168653e-26
42.0ms
-1.0493584211290971e+73
-1.1173413450088654e+70
Results
76.0ms219×1valid
8.0ms62×0valid
4.0ms7×2valid
4.0ms66×0invalid
Compiler

Compiled 382 to 276 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-pow: 53.0ms (68.6% of total)
ival-div: 9.0ms (11.6% of total)
ival-sub: 5.0ms (6.5% of total)
ival-mult: 4.0ms (5.2% of total)
ival-add: 3.0ms (3.9% of total)
backward-pass: 3.0ms (3.9% of total)
const: 1.0ms (1.3% of total)

bsearch115.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
70.0ms
3.584508320246286e-38
3.898033494168653e-26
40.0ms
-7.568995372579668e+63
-8.965344656664613e+60
Results
81.0ms217×1valid
7.0ms10×2valid
7.0ms61×0valid
4.0ms59×0invalid
Compiler

Compiled 382 to 284 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-pow: 57.0ms (70.5% of total)
ival-div: 9.0ms (11.1% of total)
ival-mult: 4.0ms (4.9% of total)
ival-add: 3.0ms (3.7% of total)
backward-pass: 3.0ms (3.7% of total)
ival-sub: 3.0ms (3.7% of total)
const: 1.0ms (1.2% of total)

bsearch68.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
59.0ms
3.892150296955868e-51
1.4435462775385562e-46
5.0ms
-6.934469722203559e+49
-1.4128067786532527e+46
Results
53.0ms136×1valid
3.0ms6×2valid
2.0ms38×0invalid
0.0ms2×0valid
Compiler

Compiled 166 to 122 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-pow: 35.0ms (69.7% of total)
ival-div: 5.0ms (10% of total)
ival-mult: 4.0ms (8% of total)
ival-sub: 2.0ms (4% of total)
backward-pass: 2.0ms (4% of total)
ival-add: 2.0ms (4% of total)
const: 0.0ms (0% of total)

simplify52.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
82×*-commutative_binary64
40×+-commutative_binary64
16×unsub-neg_binary64
14×neg-mul-1_binary64
12×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0183754
1251754
2262754
3271754
4283754
5301754
6303754
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -7136238463529799/178405961588244985132285746181186892047843328 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 i n) n))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 0 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) (/.f64 #s(literal 100 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))))))
(if (<=.f64 n #s(literal -6640827866535439/9223372036854775808 binary64)) (*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) #s(literal 100 binary64)) (if (<=.f64 n #s(literal 6620533730813779/174224571863520493293247799005065324265472 binary64)) (/.f64 #s(literal 100 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))) (*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) #s(literal 100 binary64))))
(if (<=.f64 n #s(literal -4842270319348757/4611686018427387904 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (if (<=.f64 n #s(literal 6620533730813779/174224571863520493293247799005065324265472 binary64)) (/.f64 #s(literal 100 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))))
(if (<=.f64 n #s(literal -96000000000000002446129506177669255308267619600346885413186489250149317869818257253543677257448027710437336839059706626312679528425551388217375141155707832139934708034174976 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/6 binary64)))))) (if (<=.f64 n #s(literal 6620533730813779/174224571863520493293247799005065324265472 binary64)) (/.f64 #s(literal 100 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))) (+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 n (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))))
(if (<=.f64 n #s(literal -2500000000000000206717907142764505919109069241288058834081633577208167848577839182343182916030543474179298160630816422087232516708599943174868894295026637557269722419953664 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/6 binary64)))))) (if (<=.f64 n #s(literal 6620533730813779/174224571863520493293247799005065324265472 binary64)) (/.f64 #s(literal 100 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))))
(if (<=.f64 n #s(literal -9000000000000000258108064026646110331815789823868258849128448 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/6 binary64)))))) (if (<=.f64 n #s(literal -869410131688397/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n))) (if (<=.f64 n #s(literal 956410761551981/406983302788077043095694079023514269845261128071039316430435657456301100941017582490321789603976702315852655675868728054558642679084433903830771243428395388555612645234009677640568743036609742720273743660637609984234054445646756670603264 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) n) n))) (if (<=.f64 n #s(literal 6620533730813779/174224571863520493293247799005065324265472 binary64)) (*.f64 i (/.f64 (*.f64 #s(literal 100 binary64) n) i)) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))))))
(if (<=.f64 n #s(literal -47999999999999997570582494259552905614254960528643683508027392 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/6 binary64)))))) (if (<=.f64 n #s(literal -8743781895837593/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n))) (if (<=.f64 n #s(literal 8628046019107233/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) n) n))) (if (<=.f64 n #s(literal 4290987514424489/6129982163463555433433388108601236734474956488734408704 binary64)) (*.f64 i (/.f64 (*.f64 #s(literal 100 binary64) n) i)) (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 i (*.f64 i i)))))))))
(if (<=.f64 n #s(literal -9000000000000000258108064026646110331815789823868258849128448 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 i (*.f64 i i))))) (if (<=.f64 n #s(literal -2980834737217361/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n))) (if (<=.f64 n #s(literal 8953632661337695/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) n) n))) (if (<=.f64 n #s(literal 5670233501203789/3064991081731777716716694054300618367237478244367204352 binary64)) (*.f64 i (/.f64 (*.f64 #s(literal 100 binary64) n) i)) (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 i (*.f64 i i)))))))))
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(if (<=.f64 n #s(literal -1999999999999999887603621897589142048114448258041101063088247784112914432 binary64)) (*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 i n)) (if (<=.f64 n #s(literal 6620533730813779/174224571863520493293247799005065324265472 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))))
(if (<=.f64 n #s(literal -9499999999999999875989708498693149500726119967001179789983744 binary64)) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64)))) (if (<=.f64 n #s(literal 6620533730813779/174224571863520493293247799005065324265472 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64))))))
(if (<=.f64 i #s(literal -50000000000000003814884920545943501647482485473280 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n))) (if (<=.f64 i #s(literal 1799770609570069/12855504354071922204335696738729300820177623950262342682411008 binary64)) (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))))
(*.f64 #s(literal 100 binary64) n)
Outputs
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -7136238463529799/178405961588244985132285746181186892047843328 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 i n) n))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 0 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) (/.f64 #s(literal 100 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))))))
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(if (<=.f64 n #s(literal -9000000000000000258108064026646110331815789823868258849128448 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/6 binary64)))))) (if (<=.f64 n #s(literal -869410131688397/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n))) (if (<=.f64 n #s(literal 956410761551981/406983302788077043095694079023514269845261128071039316430435657456301100941017582490321789603976702315852655675868728054558642679084433903830771243428395388555612645234009677640568743036609742720273743660637609984234054445646756670603264 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) n) n))) (if (<=.f64 n #s(literal 6620533730813779/174224571863520493293247799005065324265472 binary64)) (*.f64 i (/.f64 (*.f64 #s(literal 100 binary64) n) i)) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (+.f64 #s(literal 1/6 binary64) (*.f64 i #s(literal 1/24 binary64))))))))))))
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(if (<=.f64 i #s(literal -50000000000000003814884920545943501647482485473280 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n))) (if (<=.f64 i #s(literal 1799770609570069/12855504354071922204335696738729300820177623950262342682411008 binary64)) (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))))
(if (<=.f64 i #s(literal -50000000000000003814884920545943501647482485473280 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n))) (if (<=.f64 i #s(literal 1799770609570069/12855504354071922204335696738729300820177623950262342682411008 binary64)) (*.f64 n #s(literal 100 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))))
(*.f64 #s(literal 100 binary64) n)
(*.f64 n #s(literal 100 binary64))

soundness2.4s (13.7%)

Rules
6610×*-lowering-*.f32
6610×*-lowering-*.f64
5864×*-lowering-*.f32
5864×*-lowering-*.f64
5802×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0147612056
1519011521
0824411521
01044
16738
258938
3782138
0825238
05153610
117473198
266693175
088743175
056336
1444301
25216296
08051296
044257
1280252
22734225
010265225
0137414178
1473413133
0815613133
09858526
134578069
082208069
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 2155 to 1135 computations (47.3% saved)

preprocess90.0ms (0.5%)

Compiler

Compiled 1682 to 424 computations (74.8% saved)

end0.0ms (0%)

Profiling

Loading profile data...