Compound Interest

Time bar (total: 20.9s)

analyze305.0ms (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: 186.0ms
ival-pow: 104.0ms (56% of total)
ival-add: 36.0ms (19.4% of total)
ival-div: 23.0ms (12.4% of total)
ival-mult: 10.0ms (5.4% of total)
ival-sub: 9.0ms (4.8% of total)
const: 3.0ms (1.6% of total)
backward-pass: 1.0ms (0.5% of total)

sample4.1s (19.5%)

Results
3.0s6097×1valid
299.0ms2017×0valid
174.0ms2046×0invalid
107.0ms142×2valid
Precisions
Click to see histograms. Total time spent on operations: 2.8s
ival-pow: 1.7s (62.4% of total)
ival-div: 492.0ms (17.8% of total)
ival-mult: 165.0ms (6% of total)
backward-pass: 132.0ms (4.8% of total)
ival-sub: 115.0ms (4.2% of total)
ival-add: 110.0ms (4% of total)
const: 28.0ms (1% of total)
Bogosity

preprocess235.0ms (1.1%)

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))

explain542.0ms (2.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1850-0-(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
57110(-4.4509965515862405e-275 -4.466721240650429e+60)0-(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
460-5(-5.781732002360483e-55 -3.1304389719229655e+267)(/.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 #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-(/.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
302.0ms408×1valid
56.0ms22×2valid
13.0ms82×0valid
Compiler

Compiled 135 to 32 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 296.0ms
ival-pow: 188.0ms (63.4% of total)
ival-mult: 63.0ms (21.2% of total)
ival-div: 19.0ms (6.4% of total)
backward-pass: 13.0ms (4.4% of total)
ival-add: 6.0ms (2% of total)
ival-sub: 6.0ms (2% of total)
const: 2.0ms (0.7% 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
▶22.0%
(*.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)))
▶22.0%
(*.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 34 to 20 computations (41.2% saved)

simplify215.0ms (1%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
✓cost-diff0
(/.f64 i n)
✓cost-diff0
(/.f64 #s(literal -100 binary64) (/.f64 i n))
✓cost-diff0
(*.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)))
✓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
2014×*-lowering-*.f32
2014×*-lowering-*.f64
1304×sum5-define
1272×fmsub-define
1224×fma-lowering-fma.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
014104
135104
289102
3220102
4563102
51555101
63839101
08320101
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
(* (/ -100 (/ i n)) (- 1 (pow (+ 1 (/ i n)) n)))
(/ -100 (/ i n))
-100
(/ i n)
i
n
(- 1 (pow (+ 1 (/ i n)) n))
1
(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)))
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
(* (/ -100 (/ i n)) (- 1 (pow (+ 1 (/ i n)) 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 (/ i n))
(/.f64 #s(literal -100 binary64) (/.f64 i n))
-100
#s(literal -100 binary64)
(/ i n)
(/.f64 i n)
i
n
(- 1 (pow (+ 1 (/ i n)) n))
(-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
1
#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))

localize225.0ms (1.1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(/.f64 #s(literal -100 binary64) (/.f64 i n))
✓accuracy83.0%
(*.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)))
✓accuracy79.5%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓accuracy33.2%
(-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
✓accuracy99.9%
(*.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)))
✓accuracy83.7%
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
✓accuracy79.5%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓accuracy33.2%
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
Results
175.0ms204×1valid
12.0ms11×2valid
11.0ms41×0valid
Compiler

Compiled 107 to 15 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 133.0ms
ival-pow: 49.0ms (36.8% of total)
backward-pass: 45.0ms (33.8% of total)
ival-div: 15.0ms (11.3% of total)
ival-add: 11.0ms (8.3% of total)
ival-mult: 6.0ms (4.5% of total)
ival-sub: 5.0ms (3.8% of total)
const: 1.0ms (0.8% of total)

series63.0ms (0.3%)

Counts
8 → 192
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)>
#<alt (* (/ -100 (/ i n)) (- 1 (pow (+ 1 (/ i n)) n)))>
#<alt (/ -100 (/ i n))>
#<alt (/ i n)>
#<alt (- 1 (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)))>
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#<alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))>
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#<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)))))))>
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#<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))))))>
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#<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>
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#<alt (exp i)>
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#<alt (* 100 n)>
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#<alt (/ (+ (* -100 (* n (- 1 (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 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)>
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#<alt (- (+ 1 (* -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))))) (pow i 3)))) (+ (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))))>
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#<alt (* n (- (* n (- (* n (- (+ (* -1 (* 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)))))))) (* 1/2 (/ 1 (pow i 2)))) (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))))) (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))) (+ (log i) (* -1 (log n)))))>
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Calls

48 calls:

TimeVariablePointExpression
3.0ms
i
@0
(* 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 (/ 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)))

rewrite871.0ms (4.2%)

Algorithm
1×batch-egg-rewrite
Rules
3776×*-lowering-*.f32
3776×*-lowering-*.f64
3240×/-lowering-/.f32
3240×/-lowering-/.f64
2122×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01476
15667
230467
3199467
0831467
Stop Event
1×iter limit
1×node limit
Counts
8 → 1861
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)
(* (/ -100 (/ i n)) (- 1 (pow (+ 1 (/ i n)) n)))
(/ -100 (/ i n))
(/ i n)
(- 1 (pow (+ 1 (/ i n)) n))
Outputs
(+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i n)))
(+.f64 (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i n)) (/.f64 n (/.f64 i #s(literal -100 binary64))))
(+.f64 (*.f64 #s(literal 100 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i n))) (/.f64 n (/.f64 i #s(literal -100 binary64))))
(+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i n)) #s(literal 100 binary64)) (/.f64 n (/.f64 i #s(literal -100 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 i n) (+.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 (/.f64 n (/.f64 i #s(literal -100 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(-.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n (/.f64 i #s(literal -100 binary64)))))
(-.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(-.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) (/.f64 i n))))
(-.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(fma.f64 #s(literal 100 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i n)) (/.f64 n (/.f64 i #s(literal -100 binary64))))
(fma.f64 #s(literal 100 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n i)) (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i n)))
(fma.f64 #s(literal 100 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n i)) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (/.f64 i n) #s(literal -100 binary64)))))
(fma.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 n i)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i n)))
(fma.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 n i)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (/.f64 i n) #s(literal -100 binary64)))))
(fma.f64 #s(literal 100 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 n i)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (/.f64 n (/.f64 i #s(literal -100 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 n (/.f64 i #s(literal -100 binary64))) (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i n)))
(fma.f64 #s(literal 1 binary64) (/.f64 n (/.f64 i #s(literal -100 binary64))) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (/.f64 i n) #s(literal -100 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i n)) (/.f64 n (/.f64 i #s(literal -100 binary64))))
(fma.f64 n (/.f64 #s(literal -100 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i n)))
(fma.f64 n (/.f64 #s(literal -100 binary64) i) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (/.f64 i n) #s(literal -100 binary64)))))
(fma.f64 n (*.f64 (/.f64 #s(literal -100 binary64) i) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i n)))
(fma.f64 n (*.f64 (/.f64 #s(literal -100 binary64) i) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (/.f64 i n) #s(literal -100 binary64)))))
(fma.f64 n (*.f64 (/.f64 #s(literal -100 binary64) i) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (/.f64 n (/.f64 i #s(literal -100 binary64))))
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i n)))
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (/.f64 i n) #s(literal -100 binary64)))))
(fma.f64 #s(literal -100 binary64) (*.f64 (/.f64 n i) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (/.f64 n (/.f64 i #s(literal -100 binary64))))
(fma.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i n)))
(fma.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (/.f64 i n) #s(literal -100 binary64)))))
(fma.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 n (/.f64 i #s(literal -100 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i n)))
(fma.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 100 binary64) i) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (/.f64 i n) #s(literal -100 binary64)))))
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i n)) #s(literal 100 binary64) (/.f64 n (/.f64 i #s(literal -100 binary64))))
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i n)))
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (/.f64 i n) #s(literal -100 binary64)))))
(fma.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 n (/.f64 i #s(literal -100 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 n (/.f64 i #s(literal -100 binary64))) (/.f64 n (/.f64 i #s(literal -100 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 100 binary64) (/.f64 i n)) (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i n)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 100 binary64) (/.f64 i n)) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (/.f64 i n) #s(literal -100 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n (/.f64 i #s(literal -100 binary64)))) (/.f64 n (/.f64 i #s(literal -100 binary64))))
(fma.f64 (/.f64 #s(literal -100 binary64) i) n (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i n)))
(fma.f64 (/.f64 #s(literal -100 binary64) i) n (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (/.f64 i n) #s(literal -100 binary64)))))
(fma.f64 (/.f64 #s(literal -100 binary64) i) (*.f64 n (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (/.f64 n (/.f64 i #s(literal -100 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 n i)) #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i n)))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 n i)) #s(literal 100 binary64) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (/.f64 i n) #s(literal -100 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal -100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i n)))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal -100 binary64)) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (/.f64 i n) #s(literal -100 binary64)))))
(fma.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 n i) (/.f64 n (/.f64 i #s(literal -100 binary64))))
(fma.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i n)))
(fma.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) i) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (/.f64 i n) #s(literal -100 binary64)))))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (-.f64 #s(literal 0 binary64) n) (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i n)))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (-.f64 #s(literal 0 binary64) n) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (/.f64 i n) #s(literal -100 binary64)))))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (-.f64 #s(literal 0 binary64) n) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i n)))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (-.f64 #s(literal 0 binary64) n) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (/.f64 i n) #s(literal -100 binary64)))))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (/.f64 n (/.f64 i #s(literal -100 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 #s(literal 100 binary64) n) (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i n)))
(fma.f64 (/.f64 #s(literal -1 binary64) i) (*.f64 #s(literal 100 binary64) n) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (/.f64 i n) #s(literal -100 binary64)))))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) n) (/.f64 #s(literal -100 binary64) i) (/.f64 n (/.f64 i #s(literal -100 binary64))))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 n i)) #s(literal -100 binary64) (/.f64 n (/.f64 i #s(literal -100 binary64))))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 1 binary64)) (/.f64 n (/.f64 i #s(literal -100 binary64))) (/.f64 n (/.f64 i #s(literal -100 binary64))))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 100 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 n i)) (/.f64 n (/.f64 i #s(literal -100 binary64))))
(fma.f64 (*.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n (/.f64 i #s(literal -100 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 100 binary64) i)) (-.f64 #s(literal 0 binary64) n) (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i n)))
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 100 binary64) i)) (-.f64 #s(literal 0 binary64) n) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (/.f64 i n) #s(literal -100 binary64)))))
(fma.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) #s(literal -1 binary64)) n (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i n)))
(fma.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) #s(literal -1 binary64)) n (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (/.f64 i n) #s(literal -100 binary64)))))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal -100 binary64) i)) n (/.f64 n (/.f64 i #s(literal -100 binary64))))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)) (-.f64 #s(literal 0 binary64) n) (/.f64 n (/.f64 i #s(literal -100 binary64))))
(fma.f64 (/.f64 (/.f64 #s(literal -100 binary64) i) #s(literal 1 binary64)) n (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i n)))
(fma.f64 (/.f64 (/.f64 #s(literal -100 binary64) i) #s(literal 1 binary64)) n (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (/.f64 i n) #s(literal -100 binary64)))))
(fma.f64 (/.f64 (/.f64 #s(literal -100 binary64) i) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) n) (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i n)))
(fma.f64 (/.f64 (/.f64 #s(literal -100 binary64) i) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) n) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (/.f64 i n) #s(literal -100 binary64)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 (/.f64 i n) #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 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(neg.f64 (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 n (/.f64 i #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 n (/.f64 i #s(literal -100 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) (/.f64 i n))))
(neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (-.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 i (*.f64 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 #s(literal -100 binary64) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 i n) (+.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 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i #s(literal -100 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 i (*.f64 #s(literal 100 binary64) n)))
(/.f64 #s(literal -100 binary64) (/.f64 i (*.f64 n (-.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)) (/.f64 (/.f64 i n) #s(literal -100 binary64)))
(/.f64 (/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 n (+.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) (neg.f64 (/.f64 (/.f64 i n) (+.f64 #s(literal -100 binary64) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))))
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(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
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(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (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)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
(-.f64 #s(literal 0 binary64) (+.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))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.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)) n) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))

simplify597.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
5962×*-lowering-*.f32
5962×*-lowering-*.f64
4866×+-lowering-+.f64
4866×+-lowering-+.f32
1900×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06975757
124245004
084745004
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
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))
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(* (pow n 2) (+ (* 100 (/ (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))) i)) (* 100 (/ (+ (log i) (* -1 (log n))) i))))
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* -100 (* n (- (* 1/2 (/ 1 (pow i 3))) (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2))))))) (* 100 (/ (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)) i))))))
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (/ (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)) i)) (* n (+ (* -100 (- (* 1/2 (/ 1 (pow i 3))) (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))))) (* 100 (/ (* 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))))))) i))))))))
(* -100 (/ (* n (- 1 (exp i))) i))
(* n (+ (* -100 (/ (- 1 (exp i)) i)) (* -50 (/ (* i (exp i)) n))))
(* n (+ (* -100 (/ (- 1 (exp i)) i)) (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))))
(* n (+ (* -100 (/ (- 1 (exp i)) i)) (+ (* -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 (/ (* n (- 1 (exp i))) i))
(* -1 (* n (+ (* 50 (/ (* i (exp i)) n)) (* 100 (/ (- 1 (exp i)) i)))))
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (/ (- 1 (exp i)) i)))))
(* -1 (* n (+ (* -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 (/ (- 1 (exp i)) i)))))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(* -100 (/ n i))
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(* -1 i)
(* i (- (* i (- (* 1/2 (/ 1 n)) 1/2)) 1))
(* i (- (* i (- (+ (* 1/2 (/ 1 n)) (* i (- (* 1/2 (/ 1 n)) (+ 1/6 (* 1/3 (/ 1 (pow n 2))))))) 1/2)) 1))
(* i (- (* i (- (+ (* 1/2 (/ 1 n)) (* i (- (+ (* 1/2 (/ 1 n)) (* i (- (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))) (+ 1/24 (* 11/24 (/ 1 (pow n 2))))))) (+ 1/6 (* 1/3 (/ 1 (pow n 2))))))) 1/2)) 1))
(- 1 (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))
(- (+ 1 (* -1 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))
(- (+ 1 (* -1 (/ (* (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)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))
(- (+ 1 (* -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))))) (pow i 3)))) (+ (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 (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))
(- (+ 1 (* -1 (/ (* (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 (/ (- (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i) (* -1 (* (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 (/ (- (* -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)) (* -1 (* (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 (* n (+ (log i) (* -1 (log n)))))
(* n (- (* -1 (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))) (+ (log i) (* -1 (log n)))))
(* n (- (* n (- (* n (- (* 1/2 (/ 1 (pow i 2))) (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))))) (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))) (+ (log i) (* -1 (log n)))))
(* n (- (* n (- (* n (- (+ (* -1 (* 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)))))))) (* 1/2 (/ 1 (pow i 2)))) (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))))) (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))) (+ (log i) (* -1 (log n)))))
(- 1 (exp i))
(- (+ 1 (* 1/2 (/ (* (pow i 2) (exp i)) n))) (exp i))
(- (+ 1 (* -1 (/ (* (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))))
(- (+ 1 (* -1 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)))) (+ (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 (* 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))) (exp 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 n (*.f64 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 (*.f64 i #s(literal 100 binary64)) (+.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 n (*.f64 #s(literal 100 binary64) (+.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) (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 (*.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 #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 (*.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 1/6 binary64) (pow.f64 n #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 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 (*.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)))))) 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 n (*.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))) 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 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (*.f64 n #s(literal -100 binary64))) (/.f64 (*.f64 #s(literal -100 binary64) (+.f64 (*.f64 n (*.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))))))) (/.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 (*.f64 (*.f64 n (*.f64 n n)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) n)) i))) i)) (-.f64 #s(literal 0 binary64) 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 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (*.f64 n #s(literal -100 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 n (*.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))))) #s(literal 100 binary64))) (/.f64 (+.f64 (*.f64 #s(literal -100 binary64) (*.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)))) n))) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) 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)) (-.f64 #s(literal 0 binary64) 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 (*.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 #s(literal 100 binary64) (*.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 (/.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 (*.f64 #s(literal 50 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i)) (*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))) (*.f64 n (*.f64 #s(literal 100 binary64) (+.f64 (+.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)))) (*.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 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64))) (*.f64 i i)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 i (*.f64 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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(+.f64 (exp.f64 i) (+.f64 (*.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 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)))) (*.f64 n n)) (/.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 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 (*.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 i (*.f64 (*.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 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 i (*.f64 (*.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))
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(+ (* -100 (* i (* n (- (* 1/2 (/ 1 n)) 1/2)))) (* 100 n))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 (*.f64 #s(literal -100 binary64) (*.f64 n i)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))
(+ (* 100 n) (* i (+ (* -100 (* i (* n (- (* 1/2 (/ 1 n)) (+ 1/6 (* 1/3 (/ 1 (pow n 2)))))))) (* -100 (* n (- (* 1/2 (/ 1 n)) 1/2))))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 #s(literal -100 binary64) (+.f64 (*.f64 (*.f64 n i) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))) (*.f64 n (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))))))
(+ (* 100 n) (* i (+ (* -100 (* n (- (* 1/2 (/ 1 n)) 1/2))) (* i (+ (* -100 (* i (* n (- (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))) (+ 1/24 (* 11/24 (/ 1 (pow n 2)))))))) (* -100 (* n (- (* 1/2 (/ 1 n)) (+ 1/6 (* 1/3 (/ 1 (pow n 2))))))))))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) (*.f64 n #s(literal -100 binary64))) (*.f64 (*.f64 i #s(literal -100 binary64)) (+.f64 (*.f64 (*.f64 n i) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n)))))) (*.f64 n (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))))))))
(* -100 (/ (* n (- 1 (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (*.f64 n #s(literal -100 binary64))) i)
(/ (+ (* -100 (* n (- 1 (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 n n))) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (*.f64 n #s(literal -100 binary64)))) i)
(/ (+ (* -100 (* n (- 1 (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 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 #s(literal 100 binary64) (+.f64 (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i) (/.f64 (*.f64 n (*.f64 (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 #s(literal 1 binary64) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (*.f64 n #s(literal -100 binary64)))) i)
(/ (+ (* -100 (* n (- 1 (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 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 (*.f64 n (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 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 1/6 binary64) (pow.f64 n #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 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))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (*.f64 n #s(literal -100 binary64)))) i)
(* -100 (/ (* n (- 1 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))
(/.f64 (*.f64 (*.f64 #s(literal -100 binary64) n) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))))))) i)
(* -1 (/ (+ (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) (* 100 (* n (- 1 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))))) i))
(/.f64 (+.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)))))) i) (*.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 #s(literal 1 binary64) (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) 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)) (* 100 (* n (- 1 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))))) i))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -100 binary64) (+.f64 (*.f64 n (*.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))))))) (/.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 (*.f64 (*.f64 n (*.f64 n n)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) n)) i))) i) (*.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 #s(literal 1 binary64) (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) 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)) (* 100 (* n (- 1 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))))) i))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 #s(literal 1 binary64) (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)) (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))))) #s(literal 100 binary64))) (/.f64 (+.f64 (*.f64 #s(literal -100 binary64) (*.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)))) n))) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) 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)) (-.f64 #s(literal 0 binary64) 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)) (/ 1 i))) i)) (* 100 (/ (+ (log i) (* -1 (log n))) i))))
(*.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) (+.f64 (/.f64 (*.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))))) i) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* -100 (* n (- (* 1/2 (/ 1 (pow i 3))) (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2))))))) (* 100 (/ (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 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 (/.f64 #s(literal 1/2 binary64) (*.f64 i (*.f64 i i))) (-.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 -100 binary64) n)) (/.f64 (*.f64 #s(literal 100 binary64) (+.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))))) i)))))
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (/ (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)) i)) (* n (+ (* -100 (- (* 1/2 (/ 1 (pow i 3))) (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))))) (* 100 (/ (* 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))))))) 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 (/.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))))) i) (*.f64 n (+.f64 (*.f64 #s(literal -100 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 i (*.f64 i i))) (-.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 (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 4 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 1/2 binary64) (*.f64 i i)) (/.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))))))) i)))))))
(* -100 (/ (* n (- 1 (exp i))) i))
(*.f64 #s(literal -100 binary64) (*.f64 n (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 i)) i)))
(* n (+ (* -100 (/ (- 1 (exp i)) i)) (* -50 (/ (* i (exp i)) n))))
(*.f64 n (+.f64 (*.f64 i (*.f64 (/.f64 (exp.f64 i) n) #s(literal -50 binary64))) (/.f64 (*.f64 #s(literal -100 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 i))) i)))
(* n (+ (* -100 (/ (- 1 (exp i)) i)) (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))))
(*.f64 n (+.f64 (*.f64 i (*.f64 (/.f64 (exp.f64 i) n) #s(literal -50 binary64))) (+.f64 (/.f64 (*.f64 #s(literal -100 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 i))) i) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))))) (*.f64 n (*.f64 n i))))))
(* n (+ (* -100 (/ (- 1 (exp i)) i)) (+ (* -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))))))))
(*.f64 n (+.f64 (/.f64 (*.f64 #s(literal -100 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 i))) i) (+.f64 (*.f64 i (*.f64 (/.f64 (exp.f64 i) n) #s(literal -50 binary64))) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (+.f64 (/.f64 (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)))) (*.f64 n n)) (/.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 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 (*.f64 n n)))))))))
(* -100 (/ (* n (- 1 (exp i))) i))
(*.f64 #s(literal -100 binary64) (*.f64 n (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 i)) i)))
(* -1 (* n (+ (* 50 (/ (* i (exp i)) n)) (* 100 (/ (- 1 (exp i)) i)))))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 50 binary64) (exp.f64 i)) i) n) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 i)) i))) (-.f64 #s(literal 0 binary64) n))
(* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (/ (- 1 (exp i)) i)))))
(*.f64 (-.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 i)) i)) (/.f64 (+.f64 (*.f64 i (*.f64 (exp.f64 i) #s(literal -50 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))))) (*.f64 n i))) n)) (-.f64 #s(literal 0 binary64) n))
(* -1 (* n (+ (* -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 (/ (- 1 (exp i)) i)))))
(*.f64 (-.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 i)) i)) (/.f64 (-.f64 (*.f64 i (*.f64 (exp.f64 i) #s(literal -50 binary64))) (/.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 i (*.f64 (*.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 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))))) (*.f64 n i))) n)) n)) (-.f64 #s(literal 0 binary64) n))
(* -100 (/ n i))
(/.f64 (*.f64 #s(literal -100 binary64) n) i)
(* -100 (/ n i))
(/.f64 (*.f64 #s(literal -100 binary64) n) i)
(* -100 (/ n i))
(/.f64 (*.f64 #s(literal -100 binary64) n) i)
(* -100 (/ n i))
(/.f64 (*.f64 #s(literal -100 binary64) n) i)
(* -100 (/ n i))
(/.f64 (*.f64 #s(literal -100 binary64) n) i)
(* -100 (/ n i))
(/.f64 (*.f64 #s(literal -100 binary64) n) i)
(* -100 (/ n i))
(/.f64 (*.f64 #s(literal -100 binary64) n) i)
(* -100 (/ n i))
(/.f64 (*.f64 #s(literal -100 binary64) n) i)
(* -100 (/ n i))
(/.f64 (*.f64 #s(literal -100 binary64) n) i)
(* -100 (/ n i))
(/.f64 (*.f64 #s(literal -100 binary64) n) i)
(* -100 (/ n i))
(/.f64 (*.f64 #s(literal -100 binary64) n) i)
(* -100 (/ n i))
(/.f64 (*.f64 #s(literal -100 binary64) n) i)
(* -100 (/ n i))
(/.f64 (*.f64 #s(literal -100 binary64) n) i)
(* -100 (/ n i))
(/.f64 (*.f64 #s(literal -100 binary64) n) i)
(* -100 (/ n i))
(/.f64 (*.f64 #s(literal -100 binary64) n) i)
(* -100 (/ n i))
(/.f64 (*.f64 #s(literal -100 binary64) n) i)
(* -100 (/ n i))
(/.f64 (*.f64 #s(literal -100 binary64) n) i)
(* -100 (/ n i))
(/.f64 (*.f64 #s(literal -100 binary64) n) i)
(* -100 (/ n i))
(/.f64 (*.f64 #s(literal -100 binary64) n) i)
(* -100 (/ n i))
(/.f64 (*.f64 #s(literal -100 binary64) n) i)
(* -100 (/ n i))
(/.f64 (*.f64 #s(literal -100 binary64) n) i)
(* -100 (/ n i))
(/.f64 (*.f64 #s(literal -100 binary64) n) i)
(* -100 (/ n i))
(/.f64 (*.f64 #s(literal -100 binary64) n) i)
(* -100 (/ n i))
(/.f64 (*.f64 #s(literal -100 binary64) n) i)
(/ i n)
(/.f64 i n)
(/ i n)
(/.f64 i n)
(/ i n)
(/.f64 i n)
(/ i n)
(/.f64 i n)
(/ i n)
(/.f64 i n)
(/ i n)
(/.f64 i n)
(/ i n)
(/.f64 i n)
(/ i n)
(/.f64 i n)
(/ i n)
(/.f64 i n)
(/ i n)
(/.f64 i n)
(/ i n)
(/.f64 i n)
(/ i n)
(/.f64 i n)
(/ i n)
(/.f64 i n)
(/ i n)
(/.f64 i n)
(/ i n)
(/.f64 i n)
(/ i n)
(/.f64 i n)
(/ i n)
(/.f64 i n)
(/ i n)
(/.f64 i n)
(/ i n)
(/.f64 i n)
(/ i n)
(/.f64 i n)
(/ i n)
(/.f64 i n)
(/ i n)
(/.f64 i n)
(/ i n)
(/.f64 i n)
(/ i n)
(/.f64 i n)
(* -1 i)
(-.f64 #s(literal 0 binary64) i)
(* i (- (* i (- (* 1/2 (/ 1 n)) 1/2)) 1))
(*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(* i (- (* i (- (+ (* 1/2 (/ 1 n)) (* i (- (* 1/2 (/ 1 n)) (+ 1/6 (* 1/3 (/ 1 (pow n 2))))))) 1/2)) 1))
(*.f64 i (+.f64 (*.f64 i (+.f64 (*.f64 i (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(* i (- (* i (- (+ (* 1/2 (/ 1 n)) (* i (- (+ (* 1/2 (/ 1 n)) (* i (- (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))) (+ 1/24 (* 11/24 (/ 1 (pow n 2))))))) (+ 1/6 (* 1/3 (/ 1 (pow n 2))))))) 1/2)) 1))
(*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (*.f64 i (+.f64 (/.f64 #s(literal 1/4 binary64) n) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n 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)))))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(- 1 (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))
(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(- (+ 1 (* -1 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(- (+ 1 (* -1 (/ (* (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)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))
(-.f64 (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 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)))) (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))
(- (+ 1 (* -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))))) (pow i 3)))) (+ (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 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64)))))) (*.f64 i (*.f64 i i)))) (+.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 (*.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 n) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i))
(- 1 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))
(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))))))
(- (+ 1 (* -1 (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.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.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))))))
(- (+ 1 (* -1 (/ (- (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i) (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.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 (*.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) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))))))
(- (+ 1 (* -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)) (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.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 (/.f64 (+.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) (+.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) (*.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) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))))))
(* -1 (* n (+ (log i) (* -1 (log n)))))
(*.f64 (-.f64 (log.f64 i) (log.f64 n)) (-.f64 #s(literal 0 binary64) n))
(* n (- (* -1 (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))) (+ (log i) (* -1 (log n)))))
(*.f64 n (-.f64 (*.f64 (+.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)))) (-.f64 #s(literal 0 binary64) n)) (-.f64 (log.f64 i) (log.f64 n))))
(* n (- (* n (- (* n (- (* 1/2 (/ 1 (pow i 2))) (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))))) (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))) (+ (log i) (* -1 (log n)))))
(*.f64 n (-.f64 (*.f64 n (-.f64 (*.f64 n (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 i i)) (-.f64 (+.f64 (/.f64 (log.f64 i) i) (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)))) (/.f64 (log.f64 n) i)))) (+.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)))))) (-.f64 (log.f64 i) (log.f64 n))))
(* n (- (* n (- (* n (- (+ (* -1 (* 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)))))))) (* 1/2 (/ 1 (pow i 2)))) (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))))) (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))) (+ (log i) (* -1 (log n)))))
(*.f64 n (-.f64 (*.f64 n (+.f64 (+.f64 (*.f64 n (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 i i)) (*.f64 n (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 4 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 1/2 binary64) (*.f64 i i)) (/.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))))))) (-.f64 (+.f64 (/.f64 (log.f64 i) i) (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)))) (/.f64 (log.f64 n) i)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) i))) (-.f64 (log.f64 i) (log.f64 n))))
(- 1 (exp i))
(-.f64 #s(literal 1 binary64) (exp.f64 i))
(- (+ 1 (* 1/2 (/ (* (pow i 2) (exp i)) n))) (exp i))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (/.f64 (exp.f64 i) n)) (-.f64 #s(literal 1 binary64) (exp.f64 i)))
(- (+ 1 (* -1 (/ (* (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))))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 i) (/.f64 (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)))) (*.f64 n n)))) (exp.f64 i)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (/.f64 (exp.f64 i) n)))
(- (+ 1 (* -1 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)))) (+ (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 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 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 (*.f64 n n)))) (+.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 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)))) (*.f64 n n)))))
(- 1 (exp i))
(-.f64 #s(literal 1 binary64) (exp.f64 i))
(- (+ 1 (* 1/2 (/ (* (pow i 2) (exp i)) n))) (exp i))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (/.f64 (exp.f64 i) n)) (-.f64 #s(literal 1 binary64) (exp.f64 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))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))))) n) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 i i)) (exp.f64 i))) n)) (exp.f64 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))) (exp i))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (exp.f64 i) (-.f64 (/.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))))) n) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)))))) (-.f64 #s(literal 0 binary64) n)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 i i)) (exp.f64 i))) n)) (exp.f64 i))

eval340.0ms (1.6%)

Compiler

Compiled 65860 to 5627 computations (91.5% saved)

prune370.0ms (1.8%)

Pruning

33 alts after pruning (32 fresh and 1 done)

PrunedKeptTotal
New2330322362
Fresh000
Picked112
Done000
Total2331332364
Accuracy
100.0%
Counts
2364 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶15.2%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (*.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
21.9%
(/.f64 (+.f64 (*.f64 (/.f64 n i) i) (*.f64 #s(literal -1/100 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (*.f64 n #s(literal -100 binary64))))) (*.f64 #s(literal -1/100 binary64) i))
14.2%
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal -1 binary64) n) (*.f64 (/.f64 #s(literal -100 binary64) i) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))) (*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal 1 binary64) n)))
20.5%
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) i) i) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -100 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (*.f64 n #s(literal -100 binary64))))) (/.f64 (/.f64 i n) #s(literal -100 binary64)))
14.2%
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 #s(literal 1 binary64) n)) (/.f64 i n)) (*.f64 i (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (*.f64 i (/.f64 i n)))
10.4%
(/.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)))))) i)
73.6%
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
58.9%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 (*.f64 i #s(literal 100 binary64)) (+.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)))))
58.5%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 (*.f64 #s(literal -100 binary64) (*.f64 n i)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))
55.4%
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (+.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))))))))
✓22.0%
(*.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)))
13.1%
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (+.f64 i #s(literal 1 binary64))))
▶31.1%
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (exp.f64 i)))
12.9%
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
45.2%
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 0 binary64) i))
10.7%
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (-.f64 #s(literal 0 binary64) n)))
▶43.0%
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
42.2%
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (*.f64 i (+.f64 (*.f64 i (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))) #s(literal -1 binary64))))
21.0%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 i n) (/.f64 #s(literal 1 binary64) i))) (*.f64 (/.f64 i n) (/.f64 #s(literal 1 binary64) n))))
22.4%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) n) i))
21.8%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i)) (/.f64 #s(literal 1 binary64) n)))
20.3%
(*.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 #s(literal 1 binary64) n) (/.f64 i n))))
11.0%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (*.f64 i n)) (*.f64 i i)))
10.7%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
44.0%
(*.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)))
▶75.6%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
64.3%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
46.1%
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
58.3%
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 n (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))
58.9%
(*.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))))))
55.4%
(*.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 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))))))))
22.4%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) n))
▶55.9%
(*.f64 #s(literal 100 binary64) n)
Compiler

Compiled 1469 to 918 computations (37.5% saved)

simplify209.0ms (1%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 n #s(literal -100 binary64))
✓cost-diff128
(-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (*.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
✓cost-diff256
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (*.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
✓cost-diff384
(*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (exp.f64 i))
✓cost-diff0
(/.f64 i n)
✓cost-diff0
(/.f64 #s(literal -100 binary64) (/.f64 i n))
✓cost-diff0
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (exp.f64 i)))
✓cost-diff0
(*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
✓cost-diff0
(/.f64 i n)
✓cost-diff0
(/.f64 #s(literal -100 binary64) (/.f64 i n))
✓cost-diff256
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
✓cost-diff0
(*.f64 #s(literal 100 binary64) n)
✓cost-diff0
(*.f64 n (log1p.f64 (/.f64 i n)))
✓cost-diff0
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
✓cost-diff0
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
✓cost-diff6208
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
Rules
3806×*-lowering-*.f32
3806×*-lowering-*.f64
2996×/-lowering-/.f32
2996×/-lowering-/.f64
1426×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035226
1107226
2376219
31322204
47689204
08394204
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 (/ i n)) (* i (+ (* i (+ (/ 1/2 n) -1/2)) -1)))
(/ -100 (/ i n))
-100
(/ i n)
i
n
(* i (+ (* i (+ (/ 1/2 n) -1/2)) -1))
(+ (* i (+ (/ 1/2 n) -1/2)) -1)
(* i (+ (/ 1/2 n) -1/2))
(+ (/ 1/2 n) -1/2)
(/ 1/2 n)
1/2
-1/2
-1
(* (/ -100 (/ i n)) (- 1 (exp i)))
(/ -100 (/ i n))
-100
(/ i n)
i
n
(- 1 (exp i))
1
(exp i)
(/ (- (* (* n -100) (/ (/ i n) -100)) (* i (pow (+ 1 (/ i n)) n))) (* i (/ (/ i n) -100)))
(- (* (* n -100) (/ (/ i n) -100)) (* i (pow (+ 1 (/ i n)) n)))
(* (* n -100) (/ (/ i n) -100))
(* n -100)
n
-100
(/ (/ i n) -100)
(/ i n)
i
(* i (pow (+ 1 (/ i n)) n))
(pow (+ 1 (/ i n)) n)
(+ 1 (/ i n))
1
(* i (/ (/ i n) -100))
Outputs
(* 100 (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (/ i n)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i (*.f64 n #s(literal -100 binary64))))
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 (/ i n)) (* i (+ (* i (+ (/ 1/2 n) -1/2)) -1)))
(*.f64 (+.f64 (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 n #s(literal -100 binary64)))
(/ -100 (/ i n))
(/.f64 n (/.f64 i #s(literal -100 binary64)))
-100
#s(literal -100 binary64)
(/ i n)
(/.f64 i n)
i
n
(* i (+ (* i (+ (/ 1/2 n) -1/2)) -1))
(*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(+ (* i (+ (/ 1/2 n) -1/2)) -1)
(+.f64 (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(* i (+ (/ 1/2 n) -1/2))
(*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))
(+ (/ 1/2 n) -1/2)
(+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
1/2
#s(literal 1/2 binary64)
-1/2
#s(literal -1/2 binary64)
-1
#s(literal -1 binary64)
(* (/ -100 (/ i n)) (- 1 (exp i)))
(/.f64 (*.f64 n (+.f64 #s(literal -100 binary64) (*.f64 #s(literal 100 binary64) (exp.f64 i)))) i)
(/ -100 (/ i n))
(/.f64 n (/.f64 i #s(literal -100 binary64)))
-100
#s(literal -100 binary64)
(/ i n)
(/.f64 i n)
i
n
(- 1 (exp i))
(-.f64 #s(literal 1 binary64) (exp.f64 i))
1
#s(literal 1 binary64)
(exp i)
(exp.f64 i)
(/ (- (* (* n -100) (/ (/ i n) -100)) (* i (pow (+ 1 (/ i n)) n))) (* i (/ (/ i n) -100)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i (*.f64 n #s(literal -100 binary64))))
(- (* (* n -100) (/ (/ i n) -100)) (* i (pow (+ 1 (/ i n)) n)))
(*.f64 i (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
(* (* n -100) (/ (/ i n) -100))
(*.f64 #s(literal 1 binary64) i)
(* n -100)
(*.f64 n #s(literal -100 binary64))
n
-100
#s(literal -100 binary64)
(/ (/ i n) -100)
(/.f64 i (*.f64 n #s(literal -100 binary64)))
(/ i n)
(/.f64 i n)
i
(* i (pow (+ 1 (/ i n)) n))
(*.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
(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 (/ (/ i n) -100))
(*.f64 i (/.f64 i (*.f64 n #s(literal -100 binary64))))

localize923.0ms (4.4%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy81.1%
(*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64)))
✓accuracy79.5%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓accuracy69.8%
(-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (*.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
✓accuracy62.1%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (*.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
✓accuracy100.0%
(exp.f64 i)
✓accuracy99.7%
(/.f64 #s(literal -100 binary64) (/.f64 i n))
✓accuracy84.0%
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (exp.f64 i)))
✓accuracy50.7%
(-.f64 #s(literal 1 binary64) (exp.f64 i))
✓accuracy99.9%
(*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
✓accuracy99.9%
(*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))
✓accuracy99.7%
(/.f64 #s(literal -100 binary64) (/.f64 i n))
✓accuracy76.7%
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))) #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)))
✓accuracy93.5%
(log1p.f64 (/.f64 i n))
✓accuracy88.1%
(*.f64 n (log1p.f64 (/.f64 i n)))
✓accuracy87.9%
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
Results
511.0ms94×2valid
150.0ms95×1valid
111.0ms20×5exit
50.0ms13×3valid
22.0ms25×0valid
4.0ms9×0invalid
Compiler

Compiled 247 to 35 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 695.0ms
ival-pow: 347.0ms (49.9% of total)
backward-pass: 85.0ms (12.2% of total)
compiled-spec: 72.0ms (10.4% of total)
ival-exp: 48.0ms (6.9% of total)
ival-mult: 47.0ms (6.8% of total)
ival-div: 33.0ms (4.7% of total)
ival-log: 30.0ms (4.3% of total)
ival-add: 18.0ms (2.6% of total)
ival-sub: 11.0ms (1.6% of total)
const: 3.0ms (0.4% of total)

series45.0ms (0.2%)

Counts
19 → 408
Calls
Call 1
Inputs
#<alt (- (exp (* n (log (+ 1 (/ i n))))) 1)>
#<alt (* 100 (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (/ i n)))>
#<alt (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (/ i n))>
#<alt (* n (log (+ 1 (/ i n))))>
#<alt (* 100 n)>
#<alt (* (/ -100 (/ i n)) (* i (+ (* i (+ (/ 1/2 n) -1/2)) -1)))>
#<alt (/ -100 (/ i n))>
#<alt (/ i n)>
#<alt (* i (+ (* i (+ (/ 1/2 n) -1/2)) -1))>
#<alt (* (/ -100 (/ i n)) (- 1 (exp i)))>
#<alt (- 1 (exp i))>
#<alt (* (* n -100) (/ (/ i n) -100))>
#<alt (/ (- (* (* n -100) (/ (/ i n) -100)) (* i (pow (+ 1 (/ i n)) n))) (* i (/ (/ i n) -100)))>
#<alt (- (* (* n -100) (/ (/ i n) -100)) (* i (pow (+ 1 (/ i n)) n)))>
#<alt (* n -100)>
#<alt (log (+ 1 (/ i n)))>
#<alt (* i (+ (/ 1/2 n) -1/2))>
#<alt (exp i)>
#<alt (pow (+ 1 (/ i n)) n)>
Outputs
#<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 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 (* 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))))))))>
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#<alt (* -100 (/ (* n (- i (* i (exp i)))) (pow i 2)))>
#<alt (* n (+ (* -100 (/ (- i (* i (exp i))) (pow i 2))) (* -50 (/ (* i (exp i)) n))))>
#<alt (* n (+ (* -100 (/ (- i (* i (exp i))) (pow i 2))) (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))))>
#<alt (* n (+ (* -100 (/ (- i (* i (exp i))) (pow i 2))) (+ (* -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))))))))>
#<alt (* -100 (/ (* n (- i (* i (exp i)))) (pow i 2)))>
#<alt (* -1 (* n (+ (* 50 (/ (* i (exp i)) n)) (* 100 (/ (- i (* i (exp i))) (pow i 2))))))>
#<alt (* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (/ (- i (* i (exp i))) (pow i 2))))))>
#<alt (* -1 (* n (+ (* -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 (/ (- i (* i (exp i))) (pow i 2))))))>
#<alt (* 100 n)>
#<alt (+ (* -100 (* i (* n (- (* 1/2 (/ 1 n)) 1/2)))) (* 100 n))>
#<alt (+ (* 100 n) (* i (+ (* -100 (* i (* n (- (* 1/2 (/ 1 n)) (+ 1/6 (* 1/3 (/ 1 (pow n 2)))))))) (* -100 (* n (- (* 1/2 (/ 1 n)) 1/2))))))>
#<alt (+ (* 100 n) (* i (+ (* -100 (* n (- (* 1/2 (/ 1 n)) 1/2))) (* i (+ (* -100 (* i (* n (- (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))) (+ 1/24 (* 11/24 (/ 1 (pow n 2)))))))) (* -100 (* n (- (* 1/2 (/ 1 n)) (+ 1/6 (* 1/3 (/ 1 (pow n 2))))))))))))>
#<alt (* -100 (/ (* n (- 1 (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i))>
#<alt (/ (+ (* -100 (* n (- 1 (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)>
#<alt (/ (+ (* -100 (* n (- 1 (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 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 (- 1 (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) (+ (* 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 (+ 1 (* -1 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))>
#<alt (* -1 (/ (+ (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) (* 100 (* n (+ 1 (* -1 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))))) i))>
#<alt (* -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)) (* 100 (* n (+ 1 (* -1 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))))) i))>
#<alt (* -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)) (* 100 (* n (+ 1 (* -1 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))))) i))>
#<alt (* -1 (* i (* n (+ (log i) (* -1 (log n))))))>
#<alt (* n (- (* -1 (* i (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))) (* i (+ (log i) (* -1 (log n))))))>
#<alt (* n (- (* n (- (* -1 (* i (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))))) (* i (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))) (* i (+ (log i) (* -1 (log n))))))>
#<alt (* n (- (* n (- (* n (- (* -1 (* i (* 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))))))))) (* i (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))))) (* i (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))) (* i (+ (log i) (* -1 (log n))))))>
#<alt (- i (* i (exp i)))>
#<alt (- (+ i (* 1/2 (/ (* (pow i 3) (exp i)) n))) (* i (exp i)))>
#<alt (- (+ i (* -1 (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow n 2)))) (+ (* -1/2 (/ (* (pow i 3) (exp i)) n)) (* i (exp i))))>
#<alt (- (+ i (* -1 (/ (* i (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6)))))) (pow n 3)))) (+ (* -1/2 (/ (* (pow i 3) (exp i)) n)) (+ (* i (exp i)) (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (pow n 2)))))>
#<alt (- i (* i (exp i)))>
#<alt (- (+ i (* 1/2 (/ (* (pow i 3) (exp i)) n))) (* i (exp i)))>
#<alt (- (+ i (* -1 (/ (- (/ (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n) (* 1/2 (* (pow i 3) (exp i)))) n))) (* i (exp i)))>
#<alt (- (+ i (* -1 (/ (- (* -1 (/ (- (/ (* i (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4)))))) n) (* i (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 1/2 (* (pow i 3) (exp i)))) n))) (* i (exp i)))>
#<alt (* -1 (pow i 2))>
#<alt (* (pow i 2) (- (* i (- (* 1/2 (/ 1 n)) 1/2)) 1))>
#<alt (* (pow i 2) (- (* i (- (+ (* 1/2 (/ 1 n)) (* i (- (* 1/2 (/ 1 n)) (+ 1/6 (* 1/3 (/ 1 (pow n 2))))))) 1/2)) 1))>
#<alt (* (pow i 2) (- (* i (- (+ (* 1/2 (/ 1 n)) (* i (- (+ (* 1/2 (/ 1 n)) (* i (- (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))) (+ 1/24 (* 11/24 (/ 1 (pow n 2))))))) (+ 1/6 (* 1/3 (/ 1 (pow n 2))))))) 1/2)) 1))>
#<alt (* i (- 1 (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))>
#<alt (* i (- (+ 1 (* -1 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))>
#<alt (* i (- (+ 1 (* -1 (/ (* (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)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))>
#<alt (* i (- (+ 1 (* -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))))) (pow i 3)))) (+ (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 (* i (+ 1 (* -1 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))))>
#<alt (* -1 (* i (- (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i) (+ 1 (* -1 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))))))>
#<alt (* -1 (* i (- (* -1 (/ (- (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i)) (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i)) (+ 1 (* -1 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))))))>
#<alt (* -1 (* i (- (* -1 (/ (- (* -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)) (* -1 (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) i)) (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i)) (+ 1 (* -1 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -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 (/ 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 (* i (- (* 1/2 (/ 1 n)) 1/2))>
#<alt (* i (- (* 1/2 (/ 1 n)) 1/2))>
#<alt (* i (- (* 1/2 (/ 1 n)) 1/2))>
#<alt (* i (- (* 1/2 (/ 1 n)) 1/2))>
#<alt (* i (- (* 1/2 (/ 1 n)) 1/2))>
#<alt (* i (- (* 1/2 (/ 1 n)) 1/2))>
#<alt (* i (- (* 1/2 (/ 1 n)) 1/2))>
#<alt (* i (- (* 1/2 (/ 1 n)) 1/2))>
#<alt (* i (- (* 1/2 (/ 1 n)) 1/2))>
#<alt (* i (- (* 1/2 (/ 1 n)) 1/2))>
#<alt (* i (- (* 1/2 (/ 1 n)) 1/2))>
#<alt (* i (- (* 1/2 (/ 1 n)) 1/2))>
#<alt (* 1/2 (/ i n))>
#<alt (/ (+ (* -1/2 (* i n)) (* 1/2 i)) n)>
#<alt (/ (+ (* -1/2 (* i n)) (* 1/2 i)) n)>
#<alt (/ (+ (* -1/2 (* i n)) (* 1/2 i)) n)>
#<alt (* -1/2 i)>
#<alt (+ (* -1/2 i) (* 1/2 (/ i n)))>
#<alt (+ (* -1/2 i) (* 1/2 (/ i n)))>
#<alt (+ (* -1/2 i) (* 1/2 (/ i n)))>
#<alt (* -1/2 i)>
#<alt (+ (* -1/2 i) (* 1/2 (/ i n)))>
#<alt (+ (* -1/2 i) (* 1/2 (/ i n)))>
#<alt (+ (* -1/2 i) (* 1/2 (/ i n)))>
#<alt 1>
#<alt (+ 1 i)>
#<alt (+ 1 (* i (+ 1 (* 1/2 i))))>
#<alt (+ 1 (* i (+ 1 (* i (+ 1/2 (* 1/6 i))))))>
#<alt (exp i)>
#<alt (exp i)>
#<alt (exp i)>
#<alt (exp i)>
#<alt (exp i)>
#<alt (exp i)>
#<alt (exp i)>
#<alt (exp 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

102 calls:

TimeVariablePointExpression
7.0ms
n
@-inf
(- (* (* n -100) (/ (/ i n) -100)) (* i (pow (+ 1 (/ i n)) n)))
5.0ms
i
@0
(- 1 (exp i))
4.0ms
i
@inf
(* (/ -100 (/ i n)) (- 1 (exp i)))
2.0ms
n
@-inf
(/ (- (* (* n -100) (/ (/ i n) -100)) (* i (pow (+ 1 (/ i n)) n))) (* i (/ (/ i n) -100)))
1.0ms
n
@0
(/ (- (* (* n -100) (/ (/ i n) -100)) (* i (pow (+ 1 (/ i n)) n))) (* i (/ (/ i n) -100)))

rewrite283.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
4548×*-lowering-*.f32
4548×*-lowering-*.f64
3594×/-lowering-/.f32
3594×/-lowering-/.f64
1332×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035151
1151151
2824131
08555131
Stop Event
1×iter limit
1×node limit
Counts
19 → 1328
Calls
Call 1
Inputs
(- (exp (* n (log (+ 1 (/ i n))))) 1)
(* 100 (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (/ i n)))
(/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (/ i n))
(* n (log (+ 1 (/ i n))))
(* 100 n)
(* (/ -100 (/ i n)) (* i (+ (* i (+ (/ 1/2 n) -1/2)) -1)))
(/ -100 (/ i n))
(/ i n)
(* i (+ (* i (+ (/ 1/2 n) -1/2)) -1))
(* (/ -100 (/ i n)) (- 1 (exp i)))
(- 1 (exp i))
(* (* n -100) (/ (/ i n) -100))
(/ (- (* (* n -100) (/ (/ i n) -100)) (* i (pow (+ 1 (/ i n)) n))) (* i (/ (/ i n) -100)))
(- (* (* n -100) (/ (/ i n) -100)) (* i (pow (+ 1 (/ i n)) n)))
(* n -100)
(log (+ 1 (/ i n)))
(* i (+ (/ 1/2 n) -1/2))
(exp i)
(pow (+ 1 (/ i n)) n)
Outputs
(+.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 (neg.f64 (-.f64 #s(literal 0 binary64) (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)) n) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.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 -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(/.f64 (-.f64 i (*.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (-.f64 #s(literal 0 binary64) i))
(/.f64 (-.f64 (*.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i) i)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal -1 binary64))
(*.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 -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
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(*.f64 (/.f64 (*.f64 n #s(literal -100 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 i n))) (/.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))) #s(literal 1/100 binary64)))
(*.f64 (/.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))) #s(literal 1/100 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 i n))))
(*.f64 (/.f64 (*.f64 n #s(literal -100 binary64)) #s(literal -1/100 binary64)) (/.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))) (/.f64 i n)))
(*.f64 (/.f64 (*.f64 n #s(literal -100 binary64)) #s(literal 1/100 binary64)) (/.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 i n))))
(*.f64 (/.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 i n))) (/.f64 (*.f64 n #s(literal -100 binary64)) #s(literal 1/100 binary64)))
(*.f64 (/.f64 (*.f64 i #s(literal -100 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 i n))) #s(literal -1 binary64))
(*.f64 (/.f64 (*.f64 i #s(literal -100 binary64)) #s(literal -1/100 binary64)) (/.f64 #s(literal -1/100 binary64) (/.f64 i n)))
(*.f64 (/.f64 (*.f64 i #s(literal -100 binary64)) #s(literal 1/100 binary64)) (/.f64 #s(literal -1/100 binary64) (-.f64 #s(literal 0 binary64) (/.f64 i n))))
(*.f64 (/.f64 (/.f64 i #s(literal -100 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 i n))) #s(literal -10000 binary64))
(*.f64 (/.f64 (/.f64 i #s(literal -100 binary64)) #s(literal 1/100 binary64)) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(*.f64 (/.f64 (/.f64 i #s(literal -100 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -100 binary64) (/.f64 i (*.f64 n #s(literal -100 binary64)))))
(*.f64 (*.f64 i (/.f64 #s(literal -100 binary64) i)) n)
(*.f64 (*.f64 i (-.f64 #s(literal 0 binary64) (/.f64 n i))) #s(literal 100 binary64))
(*.f64 (*.f64 i (/.f64 #s(literal 100 binary64) i)) (-.f64 #s(literal 0 binary64) n))
(*.f64 (/.f64 (*.f64 i #s(literal 100 binary64)) i) (-.f64 #s(literal 0 binary64) n))
(*.f64 (/.f64 (*.f64 i #s(literal 100 binary64)) #s(literal -1 binary64)) (/.f64 n i))
(*.f64 (/.f64 (*.f64 i #s(literal 100 binary64)) (-.f64 #s(literal 0 binary64) i)) n)
(*.f64 (/.f64 i (/.f64 i #s(literal -100 binary64))) n)
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(*.f64 (/.f64 (*.f64 i #s(literal 100 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 n i)))
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)))
(log1p.f64 (/.f64 i n))
(+.f64 (/.f64 (/.f64 i n) #s(literal 2 binary64)) (*.f64 i #s(literal -1/2 binary64)))
(+.f64 (*.f64 i #s(literal -1/2 binary64)) (/.f64 (/.f64 i n) #s(literal 2 binary64)))
(fma.f64 i (/.f64 #s(literal 1/2 binary64) n) (*.f64 i #s(literal -1/2 binary64)))
(fma.f64 i #s(literal -1/2 binary64) (/.f64 (/.f64 i n) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 i n) (*.f64 i #s(literal -1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) i (*.f64 i #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) i (/.f64 (/.f64 i n) #s(literal 2 binary64)))
(fma.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n) (*.f64 i #s(literal -1/2 binary64)))
(*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) i)
(exp.f64 i)
(exp.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) 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 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i)
(/.f64 (-.f64 #s(literal 0 binary64) (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 0 binary64) i)) (-.f64 #s(literal 0 binary64) i))
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(*.f64 i (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(*.f64 (*.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 1 binary64) i))

simplify401.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
5682×*-lowering-*.f32
5682×*-lowering-*.f64
5414×+-lowering-+.f64
5414×+-lowering-+.f32
1328×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09737835
133346986
081376986
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
Calls
Call 1
Inputs
(* 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)
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)
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(- (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)
(* 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))))))))
(+ (* 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))
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(* -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 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)))))
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
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(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)
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(/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)
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(* -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))
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i
(+ i (* -1/2 (/ (pow i 2) n)))
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i
(+ i (* -1/2 (/ (pow i 2) n)))
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i
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(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
(* n (+ (log i) (* -1 (log n))))
(*.f64 n (-.f64 (log.f64 i) (log.f64 n)))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))
(*.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 #s(literal 1 binary64) 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)))))))
(*.f64 n (+.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64))) (/.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))))))))
(* 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)))))))
(*.f64 n (+.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) 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))) (/.f64 (log.f64 i) i)) (/.f64 (log.f64 n) i)) (*.f64 n (+.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 4 binary64)))) (/.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 i i)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64))) i))))) (/.f64 #s(literal -1/2 binary64) (*.f64 i i))))))))
(- (exp i) 1)
(expm1.f64 i)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(+.f64 (exp.f64 i) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n))) #s(literal -1 binary64)))
(- (+ (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)
(+.f64 (exp.f64 i) (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n))) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))))) (*.f64 n n))) #s(literal -1 binary64)))
(- (+ (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)
(+.f64 (+.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 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 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 -1/6 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)))))) #s(literal -1 binary64))
(- (exp i) 1)
(expm1.f64 i)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(+.f64 (exp.f64 i) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n))) #s(literal -1 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))) 1)
(+.f64 (-.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 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))))) n)) n)) #s(literal -1 binary64))
(- (+ (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)
(+.f64 (-.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 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))))) (/.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 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64))))) n)) n)) n)) #s(literal -1 binary64))
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 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 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(*.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))))))
(* 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))))))
(*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (*.f64 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 #s(literal -1/2 binary64) n)))) (/.f64 #s(literal -1/2 binary64) n)))))
(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)
(expm1.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)) 1)
(+.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (/.f64 (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i) #s(literal -1 binary64)))
(- (+ (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)
(+.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (+.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) (*.f64 n (*.f64 n n))) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) (*.f64 i i))) #s(literal -1 binary64)))
(- (+ (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)
(+.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (+.f64 (*.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 n) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i)) #s(literal -1 binary64)))
(- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)
(expm1.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)) 1)
(+.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 n) (exp.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i) #s(literal -1 binary64)))
(- (+ (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)
(+.f64 (-.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)) #s(literal -1 binary64))
(- (+ (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)
(+.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 (/.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 (+.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) (+.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 #s(literal 0 binary64) i)) (*.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)) #s(literal -1 binary64))
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n 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 #s(literal 1 binary64) (*.f64 i i)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64))) 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 binary64) (*.f64 i i)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64))) 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 #s(literal 1 binary64) (*.f64 i i)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64))) 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 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))
(*.f64 n (+.f64 (*.f64 #s(literal -50 binary64) (*.f64 i (/.f64 (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)))))
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(+.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) #s(literal 1 binary64))
(+ 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 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) 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))))))))
(+.f64 #s(literal 1 binary64) (*.f64 n (+.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64))) (/.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 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 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 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)))) (*.f64 (exp.f64 i) (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 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 -1/6 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 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 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 #s(literal 1/2 binary64) (*.f64 i i)) (exp.f64 i)) (/.f64 (-.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))))) (/.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 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64))))) n)) n)) n))

eval342.0ms (1.6%)

Compiler

Compiled 55671 to 5416 computations (90.3% saved)

prune336.0ms (1.6%)

Pruning

53 alts after pruning (49 fresh and 4 done)

PrunedKeptTotal
New2424302454
Fresh81927
Picked235
Done011
Total2434532487
Accuracy
100.0%
Counts
2487 → 53
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.2%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (*.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (*.f64 i (/.f64 (*.f64 (/.f64 #s(literal 100 binary64) (/.f64 n i)) #s(literal 1/100 binary64)) #s(literal -100 binary64))))
▶6.2%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
20.1%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
21.9%
(/.f64 (+.f64 (*.f64 (/.f64 n i) i) (*.f64 #s(literal -1/100 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (*.f64 n #s(literal -100 binary64))))) (*.f64 #s(literal -1/100 binary64) i))
14.2%
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal -1 binary64) n) (*.f64 (/.f64 #s(literal -100 binary64) i) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))) (*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal 1 binary64) n)))
20.5%
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) i) i) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -100 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (*.f64 n #s(literal -100 binary64))))) (/.f64 (/.f64 i n) #s(literal -100 binary64)))
14.2%
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 #s(literal 1 binary64) n)) (/.f64 i n)) (*.f64 i (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (*.f64 i (/.f64 i n)))
45.3%
(/.f64 (*.f64 (/.f64 n i) (-.f64 #s(literal 0 binary64) i)) #s(literal -1/100 binary64))
10.4%
(/.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)))))) i)
53.0%
(/.f64 (*.f64 n (*.f64 i #s(literal 100 binary64))) i)
45.6%
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
10.7%
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n))) i)
73.6%
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
45.7%
(/.f64 i (/.f64 (/.f64 i n) #s(literal 100 binary64)))
29.7%
(-.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (/.f64 (exp.f64 i) (/.f64 i (*.f64 n #s(literal -100 binary64)))))
55.4%
(+.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 i (+.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (+.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 (*.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))))))))))))
63.8%
(+.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 i (+.f64 (*.f64 n #s(literal 50 binary64)) (*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64)))))))
62.5%
(+.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 50/3 binary64) i) #s(literal 50 binary64)))))
▶45.2%
(*.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) i))
44.8%
(*.f64 (/.f64 n i) (*.f64 i #s(literal 100 binary64)))
45.2%
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) i)
53.0%
(*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (*.f64 i #s(literal 100 binary64))))
16.3%
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 i (*.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
✓22.0%
(*.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)))
13.1%
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (+.f64 i #s(literal 1 binary64))))
✓31.1%
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (exp.f64 i)))
12.9%
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
10.7%
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (-.f64 #s(literal 0 binary64) n)))
37.9%
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (/.f64 (*.f64 i #s(literal 1/2 binary64)) n) #s(literal -1 binary64))))
46.7%
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (*.f64 i (+.f64 (*.f64 i (+.f64 (*.f64 i #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
45.7%
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (*.f64 i (+.f64 (*.f64 i #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
31.1%
(*.f64 (/.f64 #s(literal -100 binary64) (*.f64 (/.f64 #s(literal -100 binary64) n) (/.f64 i #s(literal -100 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 i)))
53.0%
(*.f64 (/.f64 #s(literal -100 binary64) i) (*.f64 (*.f64 n i) #s(literal -1 binary64)))
42.2%
(*.f64 (+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) (/.f64 i (/.f64 i n)))
55.8%
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 #s(literal 1 binary64) i)) (*.f64 n #s(literal -100 binary64)))
58.7%
(*.f64 (*.f64 n #s(literal -100 binary64)) (+.f64 (*.f64 i #s(literal -1/2 binary64)) #s(literal -1 binary64)))
58.7%
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))
▶2.7%
(*.f64 i #s(literal -50 binary64))
21.0%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 i n) (/.f64 #s(literal 1 binary64) i))) (*.f64 (/.f64 i n) (/.f64 #s(literal 1 binary64) n))))
22.4%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) n) i))
21.8%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i)) (/.f64 #s(literal 1 binary64) n)))
▶20.3%
(*.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 #s(literal 1 binary64) n) (/.f64 i n))))
11.0%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (*.f64 i n)) (*.f64 i i)))
10.7%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
75.4%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))))
74.7%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 (*.f64 i #s(literal 100 binary64)) (*.f64 n #s(literal 100 binary64)))))
✓75.6%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
▶75.4%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 #s(literal -100 binary64) n) (/.f64 i #s(literal -100 binary64)))))
64.3%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
46.1%
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
58.3%
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 n (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))
22.4%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) n))
✓55.9%
(*.f64 #s(literal 100 binary64) n)
Compiler

Compiled 1817 to 1174 computations (35.4% saved)

simplify158.0ms (0.8%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.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 #s(literal 1 binary64) n) (/.f64 i n))))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n))
✓cost-diff256
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n))
✓cost-diff384
(/.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 #s(literal 1 binary64) n) (/.f64 i n)))
✓cost-diff128
(*.f64 i #s(literal 1 binary64))
✓cost-diff128
(-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (*.f64 i #s(literal 1 binary64)))
✓cost-diff512
(*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64)))
✓cost-diff512
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
✓cost-diff0
(-.f64 #s(literal 0 binary64) i)
✓cost-diff0
(/.f64 i #s(literal -100 binary64))
✓cost-diff0
(/.f64 n (/.f64 i #s(literal -100 binary64)))
✓cost-diff384
(*.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) i))
✓cost-diff0
(*.f64 i #s(literal -50 binary64))
✓cost-diff0
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 #s(literal -100 binary64) n) (/.f64 i #s(literal -100 binary64))))
✓cost-diff0
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 #s(literal -100 binary64) n) (/.f64 i #s(literal -100 binary64)))))
✓cost-diff256
(*.f64 (/.f64 #s(literal -100 binary64) n) (/.f64 i #s(literal -100 binary64)))
✓cost-diff6208
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
Rules
3814×*-lowering-*.f32
3814×*-lowering-*.f64
1340×distribute-lft-neg-in
1288×/-lowering-/.f32
1288×/-lowering-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037214
1120213
2448185
32750181
45360181
08363181
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 100 (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (* (/ -100 n) (/ i -100))))
100
(/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (* (/ -100 n) (/ i -100)))
(- (exp (* n (log (+ 1 (/ i n))))) 1)
(* n (log (+ 1 (/ i n))))
n
(log (+ 1 (/ i n)))
(/ i n)
i
(* (/ -100 n) (/ i -100))
(/ -100 n)
-100
(/ i -100)
(* i -50)
i
-50
(* (/ n (/ i -100)) (- 0 i))
(/ n (/ i -100))
n
(/ i -100)
i
-100
(- 0 i)
0
(/ (- (* (* n -100) (/ (/ i n) -100)) (* i 1)) (* i (/ (/ i n) -100)))
(- (* (* n -100) (/ (/ i n) -100)) (* i 1))
(* (* n -100) (/ (/ i n) -100))
(* n -100)
n
-100
(/ (/ i n) -100)
(/ i n)
i
(* i 1)
1
(* i (/ (/ i n) -100))
(* 100 (/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ i n)) (/ 1 n)) (* (/ 1 n) (/ i n))))
100
(/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ i n)) (/ 1 n)) (* (/ 1 n) (/ i n)))
(- (* (/ (pow (+ 1 (/ i n)) n) i) (/ i n)) (/ 1 n))
(* (/ (pow (+ 1 (/ i n)) n) i) (/ i n))
(/ (pow (+ 1 (/ i n)) n) i)
(pow (+ 1 (/ i n)) n)
(+ 1 (/ i n))
1
(/ i n)
i
n
(/ 1 n)
(* (/ 1 n) (/ i n))
Outputs
(* 100 (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (* (/ -100 n) (/ i -100))))
(*.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)))
100
#s(literal 100 binary64)
(/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (* (/ -100 n) (/ i -100)))
(/.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) (/ i -100))
(/.f64 i n)
(/ -100 n)
(/.f64 #s(literal -100 binary64) n)
-100
#s(literal -100 binary64)
(/ i -100)
(/.f64 i #s(literal -100 binary64))
(* i -50)
(*.f64 i #s(literal -50 binary64))
i
-50
#s(literal -50 binary64)
(* (/ n (/ i -100)) (- 0 i))
(/.f64 n #s(literal 1/100 binary64))
(/ n (/ i -100))
(/.f64 n (/.f64 i #s(literal -100 binary64)))
n
(/ i -100)
(/.f64 i #s(literal -100 binary64))
i
-100
#s(literal -100 binary64)
(- 0 i)
(-.f64 #s(literal 0 binary64) i)
0
#s(literal 0 binary64)
(/ (- (* (* n -100) (/ (/ i n) -100)) (* i 1)) (* i (/ (/ i n) -100)))
#s(literal 0 binary64)
(- (* (* n -100) (/ (/ i n) -100)) (* i 1))
#s(literal 0 binary64)
(* (* n -100) (/ (/ i n) -100))
i
(* n -100)
(/.f64 n #s(literal -1/100 binary64))
n
-100
#s(literal -100 binary64)
(/ (/ i n) -100)
(/.f64 i (/.f64 n #s(literal -1/100 binary64)))
(/ i n)
(/.f64 i n)
i
(* i 1)
i
1
#s(literal 1 binary64)
(* i (/ (/ i n) -100))
(*.f64 i (/.f64 i (/.f64 n #s(literal -1/100 binary64))))
(* 100 (/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ i n)) (/ 1 n)) (* (/ 1 n) (/ 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)))
100
#s(literal 100 binary64)
(/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ i n)) (/ 1 n)) (* (/ 1 n) (/ 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) i) (/ i n)) (/ 1 n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))
(* (/ (pow (+ 1 (/ i n)) n) i) (/ i n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n)
(/ (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) (/ i n))
(/.f64 (/.f64 i n) n)

localize867.0ms (4.1%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy80.2%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓accuracy79.2%
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n))
✓accuracy71.7%
(/.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 #s(literal 1 binary64) n) (/.f64 i n)))
✓accuracy53.1%
(-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n))
✓accuracy99.8%
(*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64)))
✓accuracy99.7%
(/.f64 (/.f64 i n) #s(literal -100 binary64))
✓accuracy78.4%
(*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64)))
✓accuracy69.6%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
✓accuracy100.0%
(/.f64 i #s(literal -100 binary64))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) i)
✓accuracy99.7%
(/.f64 n (/.f64 i #s(literal -100 binary64)))
✓accuracy78.5%
(*.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) i))
✓accuracy100.0%
(*.f64 i #s(literal -50 binary64))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal -100 binary64) n) (/.f64 i #s(literal -100 binary64)))
✓accuracy93.9%
(log1p.f64 (/.f64 i n))
✓accuracy85.2%
(*.f64 n (log1p.f64 (/.f64 i n)))
✓accuracy85.1%
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 #s(literal -100 binary64) n) (/.f64 i #s(literal -100 binary64))))
Results
363.0ms101×3valid
309.0ms129×2valid
96.0ms17×5exit
4.0ms9×0invalid
Compiler

Compiled 289 to 37 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 580.0ms
ival-pow: 182.0ms (31.4% of total)
compiled-spec: 95.0ms (16.4% of total)
backward-pass: 70.0ms (12.1% of total)
ival-div: 70.0ms (12.1% of total)
ival-mult: 66.0ms (11.4% of total)
ival-log: 39.0ms (6.7% of total)
ival-exp: 28.0ms (4.8% of total)
ival-sub: 17.0ms (2.9% of total)
ival-add: 9.0ms (1.6% of total)
const: 3.0ms (0.5% of total)

series36.0ms (0.2%)

Counts
23 → 504
Calls
Call 1
Inputs
#<alt (- (exp (* n (log (+ 1 (/ i n))))) 1)>
#<alt (* (/ -100 n) (/ i -100))>
#<alt (* 100 (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (* (/ -100 n) (/ i -100))))>
#<alt (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (* (/ -100 n) (/ i -100)))>
#<alt (* i -50)>
#<alt (* (/ n (/ i -100)) (- 0 i))>
#<alt (/ n (/ i -100))>
#<alt (/ i -100)>
#<alt (- 0 i)>
#<alt (/ (- (* (* n -100) (/ (/ i n) -100)) (* i 1)) (* i (/ (/ i n) -100)))>
#<alt (* (* n -100) (/ (/ i n) -100))>
#<alt (- (* (* n -100) (/ (/ i n) -100)) (* i 1))>
#<alt (* i 1)>
#<alt (/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ i n)) (/ 1 n)) (* (/ 1 n) (/ i n)))>
#<alt (* (/ (pow (+ 1 (/ i n)) n) i) (/ i n))>
#<alt (* (/ 1 n) (/ i n))>
#<alt (* 100 (/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ i n)) (/ 1 n)) (* (/ 1 n) (/ i n))))>
#<alt (* n (log (+ 1 (/ i n))))>
#<alt (log (+ 1 (/ i n)))>
#<alt (/ (/ i n) -100)>
#<alt (* i (/ (/ i n) -100))>
#<alt (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ i n)) (/ 1 n))>
#<alt (pow (+ 1 (/ i n)) n)>
Outputs
#<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 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 (/ 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 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 (* 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)>
#<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 (/ (* (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 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))>
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#<alt (* n (+ (log i) (* -1 (log n))))>
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#<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 (/ 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 (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ (pow i 2) n))>
#<alt (* -1/100 (/ (pow i 2) n))>
#<alt (* -1/100 (/ (pow i 2) n))>
#<alt (* -1/100 (/ (pow i 2) n))>
#<alt (* -1/100 (/ (pow i 2) n))>
#<alt (* -1/100 (/ (pow i 2) n))>
#<alt (* -1/100 (/ (pow i 2) n))>
#<alt (* -1/100 (/ (pow i 2) n))>
#<alt (* -1/100 (/ (pow i 2) n))>
#<alt (* -1/100 (/ (pow i 2) n))>
#<alt (* -1/100 (/ (pow i 2) n))>
#<alt (* -1/100 (/ (pow i 2) n))>
#<alt (* -1/100 (/ (pow i 2) n))>
#<alt (* -1/100 (/ (pow i 2) n))>
#<alt (* -1/100 (/ (pow i 2) n))>
#<alt (* -1/100 (/ (pow i 2) n))>
#<alt (* -1/100 (/ (pow i 2) n))>
#<alt (* -1/100 (/ (pow i 2) n))>
#<alt (* -1/100 (/ (pow i 2) n))>
#<alt (* -1/100 (/ (pow i 2) n))>
#<alt (* -1/100 (/ (pow i 2) n))>
#<alt (* -1/100 (/ (pow i 2) n))>
#<alt (* -1/100 (/ (pow i 2) n))>
#<alt (* -1/100 (/ (pow i 2) n))>
#<alt (/ i n)>
#<alt (* i (+ (* i (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))>
#<alt (* i (+ (* i (- (+ (* 1/2 (/ 1 n)) (* i (- (+ (* 1/6 (/ 1 n)) (* 1/3 (/ 1 (pow n 3)))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))>
#<alt (* i (+ (* i (- (+ (* 1/2 (/ 1 n)) (* i (- (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* i (- (+ (* 1/24 (/ 1 n)) (* 11/24 (/ 1 (pow n 3)))) (+ (* 1/4 (/ 1 (pow n 2))) (* 1/4 (/ 1 (pow n 4)))))))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))>
#<alt (- (/ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) n) (/ 1 n))>
#<alt (- (+ (/ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) n) (/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) (/ 1 n))>
#<alt (- (+ (/ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) n) (+ (/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i) (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (* (pow i 2) n)))) (/ 1 n))>
#<alt (- (+ (/ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) n) (+ (/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i) (+ (/ (* (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) n))))) (/ 1 n))>
#<alt (- (/ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) n) (/ 1 n))>
#<alt (- (+ (/ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) n) (/ (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) (/ 1 n))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* n (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 n)))) i)) (/ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) n)) (/ 1 n))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* n (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 n))) (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) n)) i))) i)) (/ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) n)) (/ 1 n))>
#<alt (+ (log i) (* -1 (log n)))>
#<alt (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))>
#<alt (+ (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 (+ (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) n)>
#<alt (/ (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1) 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)))) 1) n)>
#<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) n)>
#<alt (* -1 (/ (+ 1 (* -1 (exp i))) n))>
#<alt (* -1 (/ (+ 1 (+ (* -1 (exp i)) (* 1/2 (/ (* (pow i 2) (exp i)) n)))) n))>
#<alt (* -1 (/ (+ 1 (+ (* -1 (exp i)) (* -1 (/ (+ (* -1/2 (* (pow i 2) (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) n)))) n))>
#<alt (* -1 (/ (+ 1 (+ (* -1 (exp i)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) n)) (* -1/2 (* (pow i 2) (exp i)))) 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)))>
Calls

126 calls:

TimeVariablePointExpression
8.0ms
i
@0
(* 100 (/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ i n)) (/ 1 n)) (* (/ 1 n) (/ i n))))
1.0ms
i
@-inf
(/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ i n)) (/ 1 n)) (* (/ 1 n) (/ i n)))
1.0ms
i
@0
(/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ i n)) (/ 1 n)) (* (/ 1 n) (/ i n)))
1.0ms
i
@inf
(/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ i n)) (/ 1 n)) (* (/ 1 n) (/ i n)))
1.0ms
n
@0
(* i (/ (/ i n) -100))

rewrite253.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
3626×*-lowering-*.f32
3626×*-lowering-*.f64
3168×/-lowering-/.f32
3168×/-lowering-/.f64
990×frac-2neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037199
1195166
21404137
09608137
Stop Event
1×iter limit
1×node limit
Counts
23 → 1395
Calls
Call 1
Inputs
(- (exp (* n (log (+ 1 (/ i n))))) 1)
(* (/ -100 n) (/ i -100))
(* 100 (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (* (/ -100 n) (/ i -100))))
(/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (* (/ -100 n) (/ i -100)))
(* i -50)
(* (/ n (/ i -100)) (- 0 i))
(/ n (/ i -100))
(/ i -100)
(- 0 i)
(/ (- (* (* n -100) (/ (/ i n) -100)) (* i 1)) (* i (/ (/ i n) -100)))
(* (* n -100) (/ (/ i n) -100))
(- (* (* n -100) (/ (/ i n) -100)) (* i 1))
(* i 1)
(/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ i n)) (/ 1 n)) (* (/ 1 n) (/ i n)))
(* (/ (pow (+ 1 (/ i n)) n) i) (/ i n))
(* (/ 1 n) (/ i n))
(* 100 (/ (- (* (/ (pow (+ 1 (/ i n)) n) i) (/ i n)) (/ 1 n)) (* (/ 1 n) (/ i n))))
(* n (log (+ 1 (/ i n))))
(log (+ 1 (/ i n)))
(/ (/ i n) -100)
(* i (/ (/ i n) -100))
(- (* (/ (pow (+ 1 (/ i n)) n) i) (/ i n)) (/ 1 n))
(pow (+ 1 (/ i n)) n)
Outputs
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
(-.f64 #s(literal 0 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))
(fma.f64 i (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) i #s(literal -1 binary64))
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.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) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 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))
(exp.f64 (*.f64 (log.f64 (/.f64 n i)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 i n)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 i n)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 n #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 i n)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 n #s(literal -100 binary64)) #s(literal 100 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 i n)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -100 binary64) (/.f64 #s(literal 100 binary64) n))) (-.f64 #s(literal 0 binary64) (/.f64 i n)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 i n)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 i n)) #s(literal 1 binary64)))
(neg.f64 (/.f64 (/.f64 (/.f64 i n) n) (/.f64 #s(literal -1 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n i))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 n #s(literal -100 binary64)) #s(literal -100 binary64)) i))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) #s(literal -1/100 binary64)) i))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) #s(literal -100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (/.f64 i #s(literal 100 binary64))) #s(literal 100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 n #s(literal -100 binary64)) #s(literal 100 binary64)) (-.f64 #s(literal 0 binary64) i)))
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(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) n)) (-.f64 #s(literal 0 binary64) (*.f64 n n)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (-.f64 #s(literal 0 binary64) n)) n)) (*.f64 n n))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) n) i)) (-.f64 #s(literal 0 binary64) (*.f64 n i)))
(/.f64 (neg.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) (-.f64 #s(literal 0 binary64) n)) i)) (*.f64 n i))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #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 1 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) 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)) n) #s(literal -1 binary64)) n) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) n))
(*.f64 (-.f64 (*.f64 (*.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) n) (*.f64 n i)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 n i) n)))
(*.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (-.f64 #s(literal 0 binary64) i)) n) (*.f64 n i)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 n i)) n)))
(*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) n) (/.f64 #s(literal 1 binary64) (*.f64 n n)))
(*.f64 (+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (-.f64 #s(literal 0 binary64) n)) n) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 n n))))
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) n) i) (/.f64 #s(literal 1 binary64) (*.f64 n i)))
(*.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) (-.f64 #s(literal 0 binary64) n)) i) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 n i))))
(exp.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
(neg.f64 (-.f64 #s(literal 0 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)) (-.f64 #s(literal 0 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (-.f64 #s(literal 0 binary64) i))))
(/.f64 i (/.f64 i (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 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i)
(/.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 (-.f64 #s(literal 0 binary64) i) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
(/.f64 (-.f64 #s(literal 0 binary64) (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 0 binary64) i)) (-.f64 #s(literal 0 binary64) i))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))
(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 i (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i))
(*.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) i) i)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
(*.f64 (*.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 1 binary64) i))
(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (-.f64 #s(literal 0 binary64) i)) (/.f64 #s(literal -1 binary64) i))

simplify349.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
5960×+-lowering-+.f64
5960×+-lowering-+.f32
5652×*-lowering-*.f32
5652×*-lowering-*.f64
1150×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09089211
130228074
084458074
Stop Event
1×iter limit
1×node limit
Counts
504 → 504
Calls
Call 1
Inputs
(* 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)
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
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(* 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)
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(- (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)
(/ i n)
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(/ i n)
(/ i n)
(/ i n)
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(/ i n)
(* 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))))
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(* (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)))))))))))
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(* 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)))))
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(* 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)
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(+ (* 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))))))))))
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(/ (+ (* 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)
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(/ (* (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))))
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(/ (* n (- (exp i) 1)) i)
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))
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(/ (* 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)))))
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n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
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(/ (* 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)
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(/ (* 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))
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(* -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))
(* -1/100 (/ i n))
(* -1/100 (/ i n))
(* -1/100 (/ i n))
(* -1/100 (/ i n))
(* -1/100 (/ i n))
(* -1/100 (/ i n))
(* -1/100 (/ i n))
(* -1/100 (/ i n))
(* -1/100 (/ i n))
(* -1/100 (/ i n))
(* -1/100 (/ i n))
(* -1/100 (/ i n))
(* -1/100 (/ i n))
(* -1/100 (/ i n))
(* -1/100 (/ i n))
(* -1/100 (/ i n))
(* -1/100 (/ i n))
(* -1/100 (/ i n))
(* -1/100 (/ i n))
(* -1/100 (/ i n))
(* -1/100 (/ i n))
(* -1/100 (/ i n))
(* -1/100 (/ i n))
(* -1/100 (/ i n))
(* -1/100 (/ (pow i 2) n))
(* -1/100 (/ (pow i 2) n))
(* -1/100 (/ (pow i 2) n))
(* -1/100 (/ (pow i 2) n))
(* -1/100 (/ (pow i 2) n))
(* -1/100 (/ (pow i 2) n))
(* -1/100 (/ (pow i 2) n))
(* -1/100 (/ (pow i 2) n))
(* -1/100 (/ (pow i 2) n))
(* -1/100 (/ (pow i 2) n))
(* -1/100 (/ (pow i 2) n))
(* -1/100 (/ (pow i 2) n))
(* -1/100 (/ (pow i 2) n))
(* -1/100 (/ (pow i 2) n))
(* -1/100 (/ (pow i 2) n))
(* -1/100 (/ (pow i 2) n))
(* -1/100 (/ (pow i 2) n))
(* -1/100 (/ (pow i 2) n))
(* -1/100 (/ (pow i 2) n))
(* -1/100 (/ (pow i 2) n))
(* -1/100 (/ (pow i 2) n))
(* -1/100 (/ (pow i 2) n))
(* -1/100 (/ (pow i 2) n))
(* -1/100 (/ (pow i 2) n))
(/ i n)
(* i (+ (* i (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))
(* i (+ (* i (- (+ (* 1/2 (/ 1 n)) (* i (- (+ (* 1/6 (/ 1 n)) (* 1/3 (/ 1 (pow n 3)))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))
(* i (+ (* i (- (+ (* 1/2 (/ 1 n)) (* i (- (+ (* 1/6 (/ 1 n)) (+ (* 1/3 (/ 1 (pow n 3))) (* i (- (+ (* 1/24 (/ 1 n)) (* 11/24 (/ 1 (pow n 3)))) (+ (* 1/4 (/ 1 (pow n 2))) (* 1/4 (/ 1 (pow n 4)))))))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))
(- (/ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) n) (/ 1 n))
(- (+ (/ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) n) (/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) (/ 1 n))
(- (+ (/ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) n) (+ (/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i) (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (* (pow i 2) n)))) (/ 1 n))
(- (+ (/ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) n) (+ (/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i) (+ (/ (* (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) n))))) (/ 1 n))
(- (/ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) n) (/ 1 n))
(- (+ (/ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) n) (/ (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) (/ 1 n))
(- (+ (* -1 (/ (+ (* -1 (* n (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 n)))) i)) (/ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) n)) (/ 1 n))
(- (+ (* -1 (/ (+ (* -1 (* n (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 n))) (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) n)) i))) i)) (/ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) n)) (/ 1 n))
(+ (log i) (* -1 (log n)))
(+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))
(+ (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))))))
(+ (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) n)
(/ (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1) 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)))) 1) 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))))) 1) n)
(* -1 (/ (+ 1 (* -1 (exp i))) n))
(* -1 (/ (+ 1 (+ (* -1 (exp i)) (* 1/2 (/ (* (pow i 2) (exp i)) n)))) n))
(* -1 (/ (+ 1 (+ (* -1 (exp i)) (* -1 (/ (+ (* -1/2 (* (pow i 2) (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) n)))) n))
(* -1 (/ (+ 1 (+ (* -1 (exp i)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) n)) (* -1/2 (* (pow i 2) (exp i)))) 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)))
Outputs
(* n (+ (log i) (* -1 (log n))))
(*.f64 n (-.f64 (log.f64 i) (log.f64 n)))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))
(*.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 #s(literal 1 binary64) 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)))))))
(*.f64 n (+.f64 (log.f64 i) (-.f64 (*.f64 n (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64))) (/.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)))))) (log.f64 n))))
(* 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)))))))
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(- (exp i) 1)
(expm1.f64 i)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 i (exp.f64 i)) i) n)) (expm1.f64 i))
(- (+ (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)
(+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 i (exp.f64 i)) i) n)) (*.f64 (exp.f64 i) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n)))) (expm1.f64 i))
(- (+ (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)
(+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 i (exp.f64 i)) i) n)) (*.f64 (exp.f64 i) (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n)) (/.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 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 (*.f64 n n)))))) (expm1.f64 i))
(- (exp i) 1)
(expm1.f64 i)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 i (exp.f64 i)) i) n)) (expm1.f64 i))
(- (+ (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)
(+.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i (exp.f64 i)) i)) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))))) n)) (-.f64 #s(literal 0 binary64) n)) (expm1.f64 i))
(- (+ (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)
(+.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i (exp.f64 i)) i)) (/.f64 (-.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))))) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64))) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64))))) n)) n)) (-.f64 #s(literal 0 binary64) n)) (expm1.f64 i))
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 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 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(*.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))))))
(* 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))))))
(*.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 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 (/.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)))))) 1)
(expm1.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)) 1)
(+.f64 (/.f64 (*.f64 (*.f64 n n) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(- (+ (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)
(+.f64 (+.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) (*.f64 n (*.f64 n n))) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) (*.f64 i i))) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(- (+ (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)
(+.f64 (+.f64 (*.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 n) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i)) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)
(expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))))
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(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (exp.f64 i)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i (exp.f64 i)) i)) (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64))) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64))))) n) (*.f64 (exp.f64 i) (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))))) n)) n)) (-.f64 #s(literal 0 binary64) n))
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 (*.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)))))))
(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 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (+.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) (*.f64 n (*.f64 n n))) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) (*.f64 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))))
(+.f64 (*.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 (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 (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 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (+.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)))))) (/.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)))))
(+.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 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) 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))))))))
(+.f64 #s(literal 1 binary64) (*.f64 n (+.f64 (log.f64 i) (-.f64 (*.f64 n (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64))) (/.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)))))) (log.f64 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 (*.f64 i (exp.f64 i)) 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 (*.f64 i (exp.f64 i)) i) n)) (*.f64 (exp.f64 i) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 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 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 i (exp.f64 i)) i) n))) (*.f64 (exp.f64 i) (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)))) (*.f64 n n)) (/.f64 (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 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 (*.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 (*.f64 i (exp.f64 i)) 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 #s(literal 1/2 binary64) (*.f64 (*.f64 i (exp.f64 i)) i)) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 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 #s(literal 1/2 binary64) (*.f64 (*.f64 i (exp.f64 i)) i)) (/.f64 (-.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))))) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64))) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64))))) n)) n)) n))

eval222.0ms (1.1%)

Compiler

Compiled 49081 to 4966 computations (89.9% saved)

prune254.0ms (1.2%)

Pruning

80 alts after pruning (75 fresh and 5 done)

PrunedKeptTotal
New1957492006
Fresh182644
Picked415
Done044
Total1979802059
Accuracy
100.0%
Counts
2059 → 80
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.7%
(/.f64 (fma.f64 (/.f64 i n) n (-.f64 #s(literal 0 binary64) i)) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
3.9%
(/.f64 (fma.f64 (*.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))) n) #s(literal -100 binary64) (-.f64 #s(literal 0 binary64) i)) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
3.9%
(/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) (/.f64 n (/.f64 n i))) #s(literal -1/100 binary64) (-.f64 #s(literal 0 binary64) i)) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
6.2%
(/.f64 (-.f64 (/.f64 (/.f64 i n) (/.f64 #s(literal 1 binary64) n)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
10.1%
(/.f64 (-.f64 (/.f64 (*.f64 (/.f64 n #s(literal 1/100 binary64)) i) (/.f64 n #s(literal 1/100 binary64))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
6.1%
(/.f64 (-.f64 (/.f64 n (/.f64 n i)) i) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
5.8%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 n i)))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
6.4%
(/.f64 (-.f64 (*.f64 (/.f64 i n) n) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
5.6%
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))) n) #s(literal -100 binary64)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
11.6%
(/.f64 (-.f64 (*.f64 (*.f64 n (/.f64 #s(literal -100 binary64) n)) (/.f64 i #s(literal -100 binary64))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
9.9%
(/.f64 (-.f64 (*.f64 (*.f64 n i) (/.f64 #s(literal 1 binary64) n)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
5.5%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i (/.f64 n (/.f64 i #s(literal 100 binary64)))) (-.f64 #s(literal 0 binary64) i))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
5.9%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (/.f64 (/.f64 i #s(literal 1/100 binary64)) #s(literal 100 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
6.3%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (/.f64 #s(literal 100 binary64) (/.f64 #s(literal 100 binary64) i))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
5.5%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -100 binary64) i) #s(literal -100 binary64)))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
6.2%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (*.f64 i #s(literal 1 binary64))) (*.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))) i))
6.2%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (*.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 #s(literal 1 binary64) (/.f64 n #s(literal 1/100 binary64))))))
6.2%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) i) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
6.0%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i #s(literal -100 binary64)) n)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
6.0%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal -1/100 binary64) (/.f64 n i))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
5.7%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (/.f64 i #s(literal 100 binary64)) (/.f64 #s(literal -1 binary64) n))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
▶6.5%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (/.f64 #s(literal -1/100 binary64) n) i)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
6.2%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (*.f64 #s(literal -1/100 binary64) (/.f64 i (*.f64 n #s(literal -100 binary64)))) #s(literal -100 binary64))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
6.0%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (*.f64 #s(literal -1/100 binary64) (*.f64 i #s(literal -100 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 n #s(literal -100 binary64))))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
20.1%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
21.9%
(/.f64 (+.f64 (*.f64 (/.f64 n i) i) (*.f64 #s(literal -1/100 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (*.f64 n #s(literal -100 binary64))))) (*.f64 #s(literal -1/100 binary64) i))
14.2%
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal -1 binary64) n) (*.f64 (/.f64 #s(literal -100 binary64) i) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))) (*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal 1 binary64) n)))
10.4%
(/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i)
53.0%
(/.f64 (*.f64 n (*.f64 i #s(literal 100 binary64))) i)
45.6%
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
10.7%
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n))) i)
▶73.6%
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
55.9%
(/.f64 n #s(literal 1/100 binary64))
45.7%
(/.f64 i (/.f64 (/.f64 i n) #s(literal 100 binary64)))
55.7%
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
22.0%
(/.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 100 binary64)))
45.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) i)))
55.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 n #s(literal 1/100 binary64))))
55.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/100 binary64) (-.f64 #s(literal 0 binary64) n)))
63.8%
(+.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 i (+.f64 (*.f64 n #s(literal 50 binary64)) (*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64)))))))
62.5%
(+.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 50/3 binary64) i) #s(literal 50 binary64)))))
28.9%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 i (/.f64 n (/.f64 i #s(literal 100 binary64))))) (-.f64 #s(literal 0 binary64) i))
44.8%
(*.f64 (/.f64 n i) (/.f64 i #s(literal 1/100 binary64)))
55.9%
(*.f64 (/.f64 i (/.f64 i #s(literal 100 binary64))) n)
21.3%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (/.f64 n i)) (*.f64 #s(literal -100 binary64) (/.f64 n (/.f64 n i))))) (-.f64 #s(literal 0 binary64) i))
45.2%
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 i n) #s(literal 100 binary64))) (-.f64 #s(literal 0 binary64) i))
16.3%
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 i (*.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
✓22.0%
(*.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)))
13.1%
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (+.f64 i #s(literal 1 binary64))))
✓31.1%
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (exp.f64 i)))
10.7%
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (-.f64 #s(literal 0 binary64) n)))
37.9%
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (/.f64 (*.f64 i #s(literal 1/2 binary64)) n) #s(literal -1 binary64))))
46.7%
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (*.f64 i (+.f64 (*.f64 i (+.f64 (*.f64 i #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
45.7%
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (*.f64 i (+.f64 (*.f64 i #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
42.2%
(*.f64 (+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) (/.f64 i (/.f64 i n)))
29.1%
(*.f64 (*.f64 (/.f64 i (/.f64 i (/.f64 n i))) #s(literal -100 binary64)) (-.f64 #s(literal 0 binary64) i))
55.8%
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 #s(literal 1 binary64) i)) (*.f64 n #s(literal -100 binary64)))
58.7%
(*.f64 (*.f64 n #s(literal -100 binary64)) (+.f64 (*.f64 i #s(literal -1/2 binary64)) #s(literal -1 binary64)))
19.1%
(*.f64 (neg.f64 (*.f64 (/.f64 (/.f64 i n) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 i (/.f64 i (*.f64 n #s(literal -100 binary64))))))) (-.f64 #s(literal 0 binary64) i))
58.7%
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))
✓2.7%
(*.f64 i #s(literal -50 binary64))
▶35.9%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n))))
11.6%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n n) (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n))))
22.4%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) n) i))
21.2%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i #s(literal -100 binary64))) (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) n) (/.f64 n #s(literal -100 binary64)))) (/.f64 i n)))
21.1%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal -100 binary64) n)) (/.f64 #s(literal -100 binary64) n)) (*.f64 (/.f64 i #s(literal -100 binary64)) (/.f64 #s(literal -100 binary64) i))) (/.f64 i n)))
6.6%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n))))
11.0%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (*.f64 i n)) (*.f64 i i)))
10.7%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
75.4%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 (/.f64 (/.f64 i #s(literal 1/100 binary64)) n) #s(literal 100 binary64))))
✓75.6%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
▶75.4%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 #s(literal -100 binary64) n) (*.f64 i #s(literal -1/100 binary64)))))
64.3%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
46.1%
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
22.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) n) (/.f64 i n)))))
58.3%
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n)))
40.9%
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 (*.f64 i (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))
22.4%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) n))
✓55.9%
(*.f64 #s(literal 100 binary64) n)
▶13.3%
#s(literal 0 binary64)
Compiler

Compiled 2850 to 1820 computations (36.1% saved)

simplify190.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(expm1.f64 i)
✓cost-diff0
(*.f64 n (expm1.f64 i))
✓cost-diff0
(*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i)))
✓cost-diff0
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
✓cost-diff128
(*.f64 i #s(literal 1 binary64))
✓cost-diff128
(-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (/.f64 #s(literal -1/100 binary64) n) i)) (*.f64 i #s(literal 1 binary64)))
✓cost-diff512
(*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (/.f64 #s(literal -1/100 binary64) n) i))
✓cost-diff512
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (/.f64 #s(literal -1/100 binary64) n) i)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
✓cost-diff0
(/.f64 i n)
✓cost-diff0
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n))))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n))
✓cost-diff512
(/.f64 (/.f64 i n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n)))
✓cost-diff0
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 #s(literal -100 binary64) n) (*.f64 i #s(literal -1/100 binary64))))
✓cost-diff0
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 #s(literal -100 binary64) n) (*.f64 i #s(literal -1/100 binary64)))))
✓cost-diff256
(*.f64 (/.f64 #s(literal -100 binary64) n) (*.f64 i #s(literal -1/100 binary64)))
✓cost-diff6208
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
Rules
2678×fma-lowering-fma.f32
2678×fma-lowering-fma.f64
2622×*-lowering-*.f32
2622×*-lowering-*.f64
1812×fnmadd-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036153
1112143
2464134
32548133
45447133
08598133
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 100 (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (* (/ -100 n) (* i -1/100))))
100
(/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (* (/ -100 n) (* i -1/100)))
(- (exp (* n (log (+ 1 (/ i n))))) 1)
(* n (log (+ 1 (/ i n))))
n
(log (+ 1 (/ i n)))
(/ i n)
i
(* (/ -100 n) (* i -1/100))
(/ -100 n)
-100
(* i -1/100)
-1/100
0
(* 100 (/ (/ i n) (* (/ 1 n) (/ i n))))
100
(/ (/ i n) (* (/ 1 n) (/ i n)))
(/ i n)
i
n
(* (/ 1 n) (/ i n))
(/ 1 n)
1
(/ (- (* (* n -100) (* (/ -1/100 n) i)) (* i 1)) (* i (/ (/ i n) -100)))
(- (* (* n -100) (* (/ -1/100 n) i)) (* i 1))
(* (* n -100) (* (/ -1/100 n) i))
(* n -100)
n
-100
(* (/ -1/100 n) i)
(/ -1/100 n)
-1/100
i
(* i 1)
1
(* i (/ (/ i n) -100))
(/ (/ i n) -100)
(/ i n)
(/ (* 100 (* n (- (exp i) 1))) i)
(* 100 (* n (- (exp i) 1)))
100
(* n (- (exp i) 1))
n
(- (exp i) 1)
i
Outputs
(* 100 (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (* (/ -100 n) (* i -1/100))))
(/.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) (* (/ -100 n) (* i -1/100)))
(/.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) (* i -1/100))
(/.f64 i n)
(/ -100 n)
(/.f64 #s(literal -100 binary64) n)
-100
#s(literal -100 binary64)
(* i -1/100)
(/.f64 i #s(literal -100 binary64))
-1/100
#s(literal -1/100 binary64)
0
#s(literal 0 binary64)
(* 100 (/ (/ i n) (* (/ 1 n) (/ i n))))
(/.f64 n #s(literal 1/100 binary64))
100
#s(literal 100 binary64)
(/ (/ i n) (* (/ 1 n) (/ i n)))
n
(/ i n)
(/.f64 i n)
i
n
(* (/ 1 n) (/ i n))
(/.f64 (/.f64 i n) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
1
#s(literal 1 binary64)
(/ (- (* (* n -100) (* (/ -1/100 n) i)) (* i 1)) (* i (/ (/ i n) -100)))
#s(literal 0 binary64)
(- (* (* n -100) (* (/ -1/100 n) i)) (* i 1))
#s(literal 0 binary64)
(* (* n -100) (* (/ -1/100 n) i))
i
(* n -100)
(/.f64 n #s(literal -1/100 binary64))
n
-100
#s(literal -100 binary64)
(* (/ -1/100 n) i)
(/.f64 i (/.f64 n #s(literal -1/100 binary64)))
(/ -1/100 n)
(/.f64 #s(literal -1/100 binary64) n)
-1/100
#s(literal -1/100 binary64)
i
(* i 1)
i
1
#s(literal 1 binary64)
(* i (/ (/ i n) -100))
(/.f64 (*.f64 i (/.f64 i n)) #s(literal -100 binary64))
(/ (/ i n) -100)
(/.f64 i (/.f64 n #s(literal -1/100 binary64)))
(/ i n)
(/.f64 i n)
(/ (* 100 (* n (- (exp i) 1))) i)
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (* n (- (exp i) 1)))
(*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i)))
100
#s(literal 100 binary64)
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
n
(- (exp i) 1)
(expm1.f64 i)
i

localize1.2s (5.8%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(expm1.f64 i)
✓accuracy100.0%
(*.f64 n (expm1.f64 i))
✓accuracy99.9%
(*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i)))
✓accuracy91.3%
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
✓accuracy99.8%
(*.f64 (/.f64 #s(literal -1/100 binary64) n) i)
✓accuracy99.8%
(/.f64 (/.f64 i n) #s(literal -100 binary64))
✓accuracy98.5%
(*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (/.f64 #s(literal -1/100 binary64) n) i))
✓accuracy92.3%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (/.f64 #s(literal -1/100 binary64) n) i)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy100.0%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n))))
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n))
✓accuracy86.8%
(/.f64 (/.f64 i n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n)))
✓accuracy99.8%
(*.f64 (/.f64 #s(literal -100 binary64) n) (*.f64 i #s(literal -1/100 binary64)))
✓accuracy99.7%
(*.f64 n (log1p.f64 (/.f64 i n)))
✓accuracy99.7%
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 #s(literal -100 binary64) n) (*.f64 i #s(literal -1/100 binary64))))
✓accuracy99.2%
(log1p.f64 (/.f64 i n))
Results
696.0ms112×5exit
332.0ms106×2valid
58.0ms29×3valid
4.0ms9×0invalid
Compiler

Compiled 215 to 34 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 373.0ms
ival-mult: 77.0ms (20.6% of total)
compiled-spec: 66.0ms (17.7% of total)
backward-pass: 65.0ms (17.4% of total)
ival-div: 64.0ms (17.2% of total)
...c/correct-round.rkt:119:19: 39.0ms (10.5% of total)
ival-exp: 24.0ms (6.4% of total)
ival-log: 18.0ms (4.8% of total)
ival-sub: 13.0ms (3.5% of total)
const: 3.0ms (0.8% of total)
ival-add: 3.0ms (0.8% of total)

series14.0ms (0.1%)

Counts
21 → 468
Calls
Call 1
Inputs
#<alt (- (exp (* n (log (+ 1 (/ i n))))) 1)>
#<alt (* (/ -100 n) (* i -1/100))>
#<alt (* 100 (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (* (/ -100 n) (* i -1/100))))>
#<alt (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (* (/ -100 n) (* i -1/100)))>
#<alt (/ (/ i n) (* (/ 1 n) (/ i n)))>
#<alt (* (/ 1 n) (/ i n))>
#<alt (* 100 (/ (/ i n) (* (/ 1 n) (/ i n))))>
#<alt (/ i n)>
#<alt (/ (- (* (* n -100) (* (/ -1/100 n) i)) (* i 1)) (* i (/ (/ i n) -100)))>
#<alt (* (* n -100) (* (/ -1/100 n) i))>
#<alt (- (* (* n -100) (* (/ -1/100 n) i)) (* i 1))>
#<alt (* i 1)>
#<alt (/ (* 100 (* n (- (exp i) 1))) i)>
#<alt (* 100 (* n (- (exp i) 1)))>
#<alt (* n (- (exp i) 1))>
#<alt (- (exp i) 1)>
#<alt (log (+ 1 (/ i n)))>
#<alt (* n (log (+ 1 (/ i n))))>
#<alt (/ 1 n)>
#<alt (/ (/ i n) -100)>
#<alt (* (/ -1/100 n) i)>
Outputs
#<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 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)>
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#<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 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
#<alt (* -1/100 (/ i n))>
Calls

117 calls:

TimeVariablePointExpression
1.0ms
i
@-inf
(/ (* 100 (* n (- (exp i) 1))) i)
1.0ms
i
@inf
(/ (* 100 (* n (- (exp i) 1))) i)
1.0ms
n
@0
(/ (* 100 (* n (- (exp i) 1))) i)
0.0ms
n
@inf
(* 100 (* n (- (exp i) 1)))
0.0ms
n
@inf
(/ (* 100 (* n (- (exp i) 1))) i)

rewrite284.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
3324×*-lowering-*.f32
3324×*-lowering-*.f64
3014×/-lowering-/.f32
3014×/-lowering-/.f64
1122×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035166
1174131
2118097
3739297
0832997
Stop Event
1×iter limit
1×node limit
Counts
21 → 1189
Calls
Call 1
Inputs
(- (exp (* n (log (+ 1 (/ i n))))) 1)
(* (/ -100 n) (* i -1/100))
(* 100 (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (* (/ -100 n) (* i -1/100))))
(/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (* (/ -100 n) (* i -1/100)))
(/ (/ i n) (* (/ 1 n) (/ i n)))
(* (/ 1 n) (/ i n))
(* 100 (/ (/ i n) (* (/ 1 n) (/ i n))))
(/ i n)
(/ (- (* (* n -100) (* (/ -1/100 n) i)) (* i 1)) (* i (/ (/ i n) -100)))
(* (* n -100) (* (/ -1/100 n) i))
(- (* (* n -100) (* (/ -1/100 n) i)) (* i 1))
(* i 1)
(/ (* 100 (* n (- (exp i) 1))) i)
(* 100 (* n (- (exp i) 1)))
(* n (- (exp i) 1))
(- (exp i) 1)
(log (+ 1 (/ i n)))
(* n (log (+ 1 (/ i n))))
(/ 1 n)
(/ (/ i n) -100)
(* (/ -1/100 n) i)
Outputs
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
(+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (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)) n) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (-.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)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.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) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 n i)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 i n)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) n)) (-.f64 #s(literal 0 binary64) (/.f64 i n)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 i n)))
(neg.f64 (*.f64 (*.f64 i #s(literal -100 binary64)) (/.f64 #s(literal 1/100 binary64) n)))
(/.f64 n (/.f64 n (/.f64 i n)))
(/.f64 #s(literal 1 binary64) (/.f64 n i))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n n) (*.f64 n i)))
(/.f64 i n)
(/.f64 (/.f64 i n) #s(literal 1 binary64))
(/.f64 #s(literal -100 binary64) (/.f64 n (/.f64 i #s(literal -100 binary64))))
(/.f64 (/.f64 i #s(literal -100 binary64)) (/.f64 n #s(literal -100 binary64)))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))
(/.f64 (/.f64 i (*.f64 n n)) (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n i)))
(/.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 #s(literal 0 binary64) n))
(/.f64 (-.f64 #s(literal 0 binary64) i) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) n)))
(/.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 n (-.f64 #s(literal 0 binary64) (/.f64 i n))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 i n)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 i n)) (*.f64 n (/.f64 #s(literal -1 binary64) n)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 i (*.f64 n n))) (/.f64 #s(literal -1 binary64) n))
(/.f64 (/.f64 #s(literal -100 binary64) (/.f64 n i)) #s(literal -100 binary64))
(/.f64 (/.f64 i (/.f64 n #s(literal 100 binary64))) #s(literal 100 binary64))
(/.f64 (/.f64 i #s(literal 100 binary64)) (/.f64 n #s(literal 100 binary64)))
(/.f64 (*.f64 i #s(literal -100 binary64)) (/.f64 n #s(literal -1/100 binary64)))
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 n #s(literal 1/100 binary64)))
(/.f64 (*.f64 n i) (*.f64 n n))
(/.f64 (neg.f64 (*.f64 n i)) (-.f64 #s(literal 0 binary64) (*.f64 n n)))
(/.f64 (*.f64 #s(literal -100 binary64) (-.f64 #s(literal 0 binary64) i)) (/.f64 n #s(literal 1/100 binary64)))
(/.f64 (*.f64 n (-.f64 #s(literal 0 binary64) i)) (-.f64 #s(literal 0 binary64) (*.f64 n n)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) n) (-.f64 #s(literal 0 binary64) (*.f64 n n)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 n i)) n)
(/.f64 (*.f64 #s(literal -1/100 binary64) (*.f64 i #s(literal 100 binary64))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (*.f64 (*.f64 i #s(literal -100 binary64)) #s(literal -1 binary64)) (/.f64 n #s(literal 1/100 binary64)))
(pow.f64 (/.f64 i n) #s(literal 1 binary64))
(pow.f64 (/.f64 n i) #s(literal -1 binary64))
(*.f64 n (/.f64 i (*.f64 n n)))
(*.f64 #s(literal 1 binary64) (/.f64 i n))
(*.f64 i (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 i n) #s(literal 1 binary64))
(*.f64 #s(literal -100 binary64) (/.f64 (/.f64 i n) #s(literal -100 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) n) (/.f64 i #s(literal -100 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) n) (neg.f64 (/.f64 i #s(literal 100 binary64))))
(*.f64 #s(literal -1/100 binary64) (/.f64 #s(literal -100 binary64) (/.f64 n i)))
(*.f64 (/.f64 i #s(literal -100 binary64)) (/.f64 #s(literal -100 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) i)
(*.f64 (/.f64 i (*.f64 n n)) n)
(*.f64 (/.f64 #s(literal -1/100 binary64) n) (*.f64 i #s(literal -100 binary64)))
(*.f64 (/.f64 (/.f64 i n) #s(literal -100 binary64)) #s(literal -100 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 i n)))
(*.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 #s(literal -1 binary64) n))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 i (*.f64 n n))) (-.f64 #s(literal 0 binary64) n))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 n i)) #s(literal -1/100 binary64))
(*.f64 (/.f64 i (/.f64 n #s(literal 100 binary64))) #s(literal 1/100 binary64))
(*.f64 (/.f64 #s(literal 100 binary64) n) (/.f64 i #s(literal 100 binary64)))
(*.f64 (/.f64 i #s(literal 100 binary64)) (/.f64 #s(literal 100 binary64) n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 #s(literal 0 binary64) i))
(*.f64 (*.f64 i #s(literal -100 binary64)) (/.f64 #s(literal -1/100 binary64) n))
(*.f64 (*.f64 n i) (/.f64 #s(literal 1 binary64) (*.f64 n n)))
(*.f64 (neg.f64 (/.f64 i #s(literal 100 binary64))) (/.f64 #s(literal -100 binary64) n))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 i #s(literal -100 binary64))) (/.f64 #s(literal -1/100 binary64) n))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 n #s(literal -1/100 binary64))) (/.f64 (/.f64 i n) #s(literal -100 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/100 binary64) n)) (/.f64 i (/.f64 #s(literal -1/100 binary64) n)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (/.f64 n #s(literal -1/100 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i (/.f64 #s(literal -1/100 binary64) n))) (/.f64 #s(literal -1/100 binary64) n))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i #s(literal -100 binary64))) #s(literal -1/100 binary64))
(+.f64 (*.f64 #s(literal 100 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i n))) (/.f64 n (/.f64 i #s(literal -100 binary64))))
(+.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 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 i n))))
(neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1/100 binary64)) #s(literal -100 binary64)) (/.f64 i n)))
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal -100 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64))) (/.f64 i #s(literal -100 binary64))) (/.f64 #s(literal 100 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (+.f64 #s(literal -100 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 i n) (+.f64 #s(literal -100 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64)))) #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 100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -100 binary64) n) (/.f64 (+.f64 #s(literal -100 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64))) (/.f64 i #s(literal -100 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/100 binary64) (/.f64 (+.f64 #s(literal -100 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64))) (/.f64 #s(literal -100 binary64) (/.f64 n i)))))
(/.f64 #s(literal -100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) 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) (neg.f64 (/.f64 (/.f64 i n) (+.f64 #s(literal -100 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64))))))
(/.f64 (+.f64 #s(literal -100 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64))) (/.f64 i n))
(/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1/100 binary64)) #s(literal -100 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 i n)))
(/.f64 (/.f64 #s(literal -100 binary64) (/.f64 i #s(literal 100 binary64))) (/.f64 (/.f64 #s(literal -100 binary64) n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal -100 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64))) (/.f64 #s(literal -100 binary64) n)) (/.f64 i #s(literal -100 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal -100 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64))) (/.f64 i #s(literal -100 binary64))) (/.f64 #s(literal -100 binary64) n))
(/.f64 (/.f64 (+.f64 #s(literal -100 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64))) (/.f64 #s(literal -100 binary64) (/.f64 n i))) #s(literal -1/100 binary64))
(/.f64 (/.f64 #s(literal -100 binary64) (/.f64 (/.f64 i n) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal -100 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64))) i) (/.f64 #s(literal 1 binary64) n))
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(*.f64 (/.f64 i #s(literal 100 binary64)) (/.f64 #s(literal -1 binary64) n))
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(*.f64 #s(literal 1/10000 binary64) (/.f64 #s(literal -100 binary64) (/.f64 n i)))
(*.f64 (*.f64 #s(literal -1/100 binary64) (/.f64 (/.f64 i n) #s(literal -100 binary64))) #s(literal -100 binary64))
(*.f64 (*.f64 (/.f64 #s(literal -1/100 binary64) n) (/.f64 i #s(literal -100 binary64))) #s(literal -100 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 n (/.f64 i #s(literal -100 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 i n) #s(literal 100 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 n #s(literal 1/100 binary64))) (/.f64 (/.f64 i n) #s(literal 100 binary64)))
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(neg.f64 (*.f64 (/.f64 #s(literal 1/100 binary64) n) i))
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(/.f64 (/.f64 i #s(literal -100 binary64)) n)
(/.f64 (/.f64 i #s(literal -100 binary64)) (*.f64 #s(literal -100 binary64) (/.f64 n #s(literal -100 binary64))))
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(*.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 #s(literal 1/100 binary64) n))
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(*.f64 (*.f64 #s(literal -1/100 binary64) (/.f64 i #s(literal -100 binary64))) (/.f64 #s(literal -100 binary64) n))
(*.f64 #s(literal 1/10000 binary64) (/.f64 #s(literal -100 binary64) (/.f64 n i)))
(*.f64 (*.f64 #s(literal -1/100 binary64) (/.f64 (/.f64 i n) #s(literal -100 binary64))) #s(literal -100 binary64))
(*.f64 (*.f64 (/.f64 #s(literal -1/100 binary64) n) (/.f64 i #s(literal -100 binary64))) #s(literal -100 binary64))

simplify346.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
5728×*-lowering-*.f32
5728×*-lowering-*.f64
4712×+-lowering-+.f64
4712×+-lowering-+.f32
1920×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07344944
124904414
084354414
Stop Event
1×iter limit
1×node limit
Counts
468 → 468
Calls
Call 1
Inputs
(* 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)
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)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(/ i n)
(* 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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Outputs
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(+ (log i) (* -1 (log n)))
(-.f64 (log.f64 i) (log.f64 n))
(+ (log i) (+ (* -1 (log n)) (/ n i)))
(+.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 n i))
(+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i)))))
(+.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n (+.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (*.f64 #s(literal -1/2 binary64) n) (*.f64 i i)))))
(+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))
(+.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n (+.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 i i)) (/.f64 n i)) (/.f64 #s(literal -1/2 binary64) (*.f64 i i)))))))
(/ i n)
(/.f64 i n)
(/ (+ i (* -1/2 (/ (pow i 2) n))) n)
(/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) i) n))) n)
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)
(/.f64 (+.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) i) n))) (/.f64 (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) (*.f64 n n))) 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)
(/.f64 (+.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) i) n))) (+.f64 (/.f64 (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n))))) n)
(/ i n)
(/.f64 i n)
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))
(/.f64 (-.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/2 binary64))) n) i) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 i (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i (*.f64 i i)) 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))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 i (/.f64 (-.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) (/.f64 (+.f64 (*.f64 i (*.f64 (*.f64 i i) #s(literal -1/3 binary64))) (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)) n)) n)) n))) n)
(* n (+ (log i) (* -1 (log n))))
(*.f64 n (-.f64 (log.f64 i) (log.f64 n)))
(* n (+ (log i) (+ (* -1 (log n)) (/ n i))))
(*.f64 n (+.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 n i)))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i))))))
(*.f64 n (+.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n (+.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (*.f64 #s(literal -1/2 binary64) n) (*.f64 i i))))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))
(*.f64 n (+.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n (+.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 i i)) (/.f64 n i)) (/.f64 #s(literal -1/2 binary64) (*.f64 i i))))))))
i
(+ i (* -1/2 (/ (pow i 2) n)))
(*.f64 i (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) i) n)))
(+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))
(+.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) i) n))) (/.f64 (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) (*.f64 n n)))
(+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2))))))
(+.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) i) n))) (+.f64 (/.f64 (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n)))))
i
(+ i (* -1/2 (/ (pow i 2) n)))
(*.f64 i (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) i) n)))
(+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))
(-.f64 i (/.f64 (+.f64 (/.f64 (*.f64 i (*.f64 (*.f64 i i) #s(literal -1/3 binary64))) n) (*.f64 i (*.f64 i #s(literal 1/2 binary64)))) n))
(+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))
(-.f64 i (/.f64 (-.f64 (*.f64 i (*.f64 i #s(literal 1/2 binary64))) (/.f64 (+.f64 (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64)) n)) n)) n))
i
(* i (+ 1 (* -1/2 (/ i n))))
(*.f64 i (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) i) n)))
(* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))
(*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 (*.f64 i (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)))))
(* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))
(*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 (*.f64 #s(literal -1/4 binary64) i) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))
(* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))
(*.f64 n (-.f64 (log.f64 i) (log.f64 n)))
(+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))
(+.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 (*.f64 n n) i))
(+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i)))
(+.f64 (/.f64 (*.f64 n n) i) (+.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 (*.f64 n (*.f64 #s(literal -1/2 binary64) (*.f64 n n))) (*.f64 i 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))))
(+.f64 (+.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 (*.f64 n n) i)) (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64))) (*.f64 i (*.f64 i i))) (/.f64 (*.f64 n (*.f64 #s(literal -1/2 binary64) (*.f64 n n))) (*.f64 i i))))
(* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))
(*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i))))
(+ (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))) (/ (pow n 2) i))
(+.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))) (/.f64 (*.f64 n n) i))
(+ (* -1 (/ (+ (* -1 (pow n 2)) (* 1/2 (/ (pow n 3) i))) i)) (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
(-.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n n)) n) i) (*.f64 n n)) 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))))))
(-.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 #s(literal 0 binary64) n)) (/.f64 (+.f64 (*.f64 n (*.f64 #s(literal -1/2 binary64) (*.f64 n n))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 n #s(literal 4 binary64)) i))) i)) i))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)
(* -1/100 (/ i n))
(/.f64 (*.f64 #s(literal -1/100 binary64) i) n)

eval259.0ms (1.2%)

Compiler

Compiled 35046 to 4746 computations (86.5% saved)

prune308.0ms (1.5%)

Pruning

104 alts after pruning (97 fresh and 7 done)

PrunedKeptTotal
New1880501930
Fresh234770
Picked235
Done145
Total19061042010
Accuracy
100.0%
Counts
2010 → 104
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.8%
(fma.f64 (/.f64 n i) (/.f64 i (/.f64 i #s(literal -100 binary64))) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
10.3%
(fma.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 n #s(literal -1/100 binary64)) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
9.4%
(fma.f64 i (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
10.2%
(/.f64 (fma.f64 (/.f64 i (/.f64 #s(literal -1/100 binary64) n)) (/.f64 #s(literal -1/100 binary64) n) (-.f64 #s(literal 0 binary64) i)) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
3.7%
(/.f64 (fma.f64 (/.f64 i n) n (-.f64 #s(literal 0 binary64) i)) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
10.5%
(/.f64 (fma.f64 (/.f64 i #s(literal -100 binary64)) #s(literal -100 binary64) (-.f64 #s(literal 0 binary64) i)) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
10.2%
(/.f64 (-.f64 (/.f64 (/.f64 i (/.f64 #s(literal -1/100 binary64) n)) (/.f64 n #s(literal -1/100 binary64))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
6.2%
(/.f64 (-.f64 (/.f64 (/.f64 i n) (/.f64 #s(literal 1 binary64) n)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
11.9%
(/.f64 (-.f64 (/.f64 (/.f64 i #s(literal -100 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 n #s(literal -100 binary64)))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
5.9%
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/100 binary64) (/.f64 #s(literal -1/100 binary64) n)) (/.f64 n i)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
6.1%
(/.f64 (-.f64 (/.f64 n (/.f64 n i)) i) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
9.7%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (*.f64 n i))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
11.7%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) i)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
5.6%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 n i))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
6.4%
(/.f64 (-.f64 (*.f64 (/.f64 i n) n) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
11.8%
(/.f64 (-.f64 (*.f64 (/.f64 i #s(literal -100 binary64)) #s(literal -100 binary64)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
5.6%
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))) n) #s(literal -100 binary64)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
11.6%
(/.f64 (-.f64 (*.f64 (*.f64 n (/.f64 #s(literal -100 binary64) n)) (/.f64 i #s(literal -100 binary64))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
4.8%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i (/.f64 n i)) (*.f64 i #s(literal -100 binary64)))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
5.9%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (/.f64 (/.f64 i #s(literal 1/100 binary64)) #s(literal 100 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
6.3%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (/.f64 #s(literal 100 binary64) (/.f64 #s(literal 100 binary64) i))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
5.5%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -100 binary64) i) #s(literal -100 binary64)))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
6.2%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (*.f64 i #s(literal 1 binary64))) (*.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))) i))
6.2%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (*.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 #s(literal 1 binary64) (/.f64 n #s(literal 1/100 binary64))))))
5.9%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))) i)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
6.1%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (*.f64 #s(literal -1/100 binary64) i) n)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
6.0%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (/.f64 #s(literal -1/100 binary64) n) i)) (/.f64 (/.f64 (/.f64 i n) #s(literal -100 binary64)) (/.f64 #s(literal -1/100 binary64) n))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
5.7%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (/.f64 #s(literal -1/100 binary64) n) i)) (/.f64 (/.f64 i n) (/.f64 #s(literal 1 binary64) n))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
6.9%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (/.f64 #s(literal -1/100 binary64) n) i)) (/.f64 (*.f64 n i) n)) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
6.1%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (/.f64 #s(literal -1/100 binary64) n) i)) (*.f64 (/.f64 i n) n)) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
6.1%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (/.f64 #s(literal -1/100 binary64) n) i)) (*.f64 (/.f64 #s(literal -1/100 binary64) (/.f64 #s(literal -1/100 binary64) n)) (/.f64 i n))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
6.3%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (/.f64 #s(literal -1/100 binary64) n) i)) (*.f64 (*.f64 (/.f64 n #s(literal -1/100 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 i #s(literal -100 binary64)))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
7.1%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (/.f64 #s(literal -1/100 binary64) n) i)) (*.f64 (*.f64 (/.f64 i (/.f64 #s(literal -1/100 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal -1/100 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
6.5%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (/.f64 #s(literal -1/100 binary64) n) i)) i) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
5.4%
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 #s(literal 1/10000 binary64) (/.f64 #s(literal -100 binary64) (/.f64 n i)))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
11.5%
(/.f64 (-.f64 (*.f64 (*.f64 i #s(literal -100 binary64)) #s(literal -1/100 binary64)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
3.8%
(/.f64 (-.f64 (*.f64 i i) (*.f64 (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))) (/.f64 n #s(literal -1/100 binary64)))) (/.f64 i (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i)))))
3.1%
(/.f64 (+.f64 (/.f64 i (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i)))) (*.f64 (/.f64 i (/.f64 #s(literal 100 binary64) (/.f64 i n))) i)) (/.f64 (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))) (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i)))))
14.2%
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal -1 binary64) n) (*.f64 (/.f64 #s(literal -100 binary64) i) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))) (*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal 1 binary64) n)))
48.5%
(/.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) n)
10.4%
(/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i)
53.0%
(/.f64 (*.f64 n (*.f64 i #s(literal 100 binary64))) i)
56.0%
(/.f64 (*.f64 i (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))) i)
53.2%
(/.f64 (*.f64 i (*.f64 n #s(literal 100 binary64))) i)
45.6%
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
10.7%
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n))) i)
58.0%
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 i (+.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)))))))))) i)
58.1%
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/6 binary64)))))))) i)
✓73.6%
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
55.9%
(/.f64 n #s(literal 1/100 binary64))
45.7%
(/.f64 i (/.f64 (/.f64 i n) #s(literal 100 binary64)))
74.4%
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 n (expm1.f64 i))))
55.7%
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
22.0%
(/.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 100 binary64)))
45.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) i)))
55.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 n #s(literal 1/100 binary64))))
55.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/100 binary64) n))
15.6%
(-.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (/.f64 (+.f64 i (*.f64 i #s(literal 0 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64)))))
12.3%
(-.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (/.f64 (+.f64 i (*.f64 i #s(literal 0 binary64))) (/.f64 i (/.f64 #s(literal 100 binary64) (/.f64 i n)))))
11.3%
(+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
14.8%
(+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 #s(literal 0 binary64) i)))
12.9%
(+.f64 (/.f64 #s(literal 0 binary64) (/.f64 i n)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (/.f64 #s(literal 100 binary64) (/.f64 i n)))) i (/.f64 n (/.f64 i #s(literal -100 binary64)))))
63.8%
(+.f64 (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))) (*.f64 (*.f64 i i) (*.f64 n (+.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64)))))
63.8%
(+.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 i (+.f64 (*.f64 n #s(literal 50 binary64)) (*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64)))))))
62.5%
(+.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 50/3 binary64) i) #s(literal 50 binary64)))))
28.9%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 i (/.f64 n (/.f64 i #s(literal 100 binary64))))) (-.f64 #s(literal 0 binary64) i))
74.5%
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) #s(literal 100 binary64))
44.8%
(*.f64 (/.f64 n i) (/.f64 i #s(literal 1/100 binary64)))
55.9%
(*.f64 (/.f64 i (/.f64 i #s(literal 100 binary64))) n)
21.3%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (/.f64 n i)) (*.f64 #s(literal -100 binary64) (/.f64 n (/.f64 n i))))) (-.f64 #s(literal 0 binary64) i))
45.2%
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 i n) #s(literal 100 binary64))) (-.f64 #s(literal 0 binary64) i))
16.3%
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 i (*.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
✓22.0%
(*.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)))
13.1%
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (+.f64 i #s(literal 1 binary64))))
10.7%
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (-.f64 #s(literal 0 binary64) n)))
37.9%
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (/.f64 (*.f64 i #s(literal 1/2 binary64)) n) #s(literal -1 binary64))))
42.2%
(*.f64 (+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) (/.f64 i (/.f64 i n)))
29.1%
(*.f64 (*.f64 (/.f64 i (/.f64 i (/.f64 n i))) #s(literal -100 binary64)) (-.f64 #s(literal 0 binary64) i))
55.8%
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 #s(literal 1 binary64) i)) (*.f64 n #s(literal -100 binary64)))
58.7%
(*.f64 (*.f64 n #s(literal -100 binary64)) (+.f64 (*.f64 i #s(literal -1/2 binary64)) #s(literal -1 binary64)))
19.1%
(*.f64 (neg.f64 (*.f64 (/.f64 (/.f64 i n) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 i (/.f64 i (*.f64 n #s(literal -100 binary64))))))) (-.f64 #s(literal 0 binary64) i))
58.7%
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))
✓2.7%
(*.f64 i #s(literal -50 binary64))
35.9%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (/.f64 #s(literal -1 binary64) (*.f64 n (-.f64 #s(literal 0 binary64) (/.f64 n i))))))
23.1%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 (*.f64 n i) (*.f64 i (*.f64 n n))) (/.f64 i n))))
35.8%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (/.f64 n i)))))
35.8%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 #s(literal -1/100 binary64) n) (/.f64 #s(literal -100 binary64) (/.f64 n i)))))
29.7%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 n i)) (/.f64 i #s(literal -100 binary64))) #s(literal -100 binary64)) (/.f64 i n))))
11.6%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n n) (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n))))
22.4%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) n) i))
6.6%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n))))
11.0%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (*.f64 i n)) (*.f64 i i)))
10.7%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
44.4%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 (*.f64 n i) (*.f64 n n))))
✓75.6%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
✓75.4%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 #s(literal -100 binary64) n) (*.f64 i #s(literal -1/100 binary64)))))
46.0%
(*.f64 #s(literal 100 binary64) (/.f64 i (*.f64 (/.f64 #s(literal -100 binary64) n) (*.f64 i #s(literal -1/100 binary64)))))
22.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) n) (/.f64 i n)))))
29.7%
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n i) (-.f64 #s(literal 0 binary64) (/.f64 i (*.f64 n n))))))
58.3%
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n)))
22.4%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) n))
25.5%
(*.f64 #s(literal 100 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 n)))))
✓55.9%
(*.f64 #s(literal 100 binary64) n)
✓13.3%
#s(literal 0 binary64)
Compiler

Compiled 4842 to 1855 computations (61.7% saved)

regimes180.0ms (0.9%)

Counts
163 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 n #s(literal 1/100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/100 binary64) n))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) i)
(*.f64 (/.f64 i (/.f64 i #s(literal 100 binary64))) n)
(*.f64 (/.f64 n i) (*.f64 i #s(literal 100 binary64)))
(*.f64 (/.f64 n i) (/.f64 i #s(literal 1/100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/100 binary64) (-.f64 #s(literal 0 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 n #s(literal 1/100 binary64))))
(/.f64 i (/.f64 (/.f64 i n) #s(literal 100 binary64)))
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 i (*.f64 n #s(literal 100 binary64))) i)
(/.f64 (*.f64 n (*.f64 i #s(literal 100 binary64))) i)
(/.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) n)
(*.f64 (*.f64 n #s(literal -100 binary64)) (+.f64 (*.f64 i #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) i) (*.f64 (*.f64 n i) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 0 binary64) i))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (*.f64 i #s(literal 100 binary64))))
(*.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) i))
(/.f64 (*.f64 (/.f64 n i) (-.f64 #s(literal 0 binary64) i)) #s(literal -1/100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 i (*.f64 (/.f64 #s(literal -100 binary64) n) (*.f64 i #s(literal -1/100 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 #s(literal 1 binary64) i)) (*.f64 n #s(literal -100 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (+.f64 i #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 i n) #s(literal 100 binary64))) (-.f64 #s(literal 0 binary64) i))
(+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) i)))
(/.f64 (*.f64 i (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))) i)
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 n (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n))))
(*.f64 (*.f64 (/.f64 i (/.f64 i (/.f64 n i))) #s(literal -100 binary64)) (-.f64 #s(literal 0 binary64) i))
(+.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 50/3 binary64) i) #s(literal 50 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n i) (-.f64 #s(literal 0 binary64) (/.f64 i (*.f64 n n))))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 #s(literal -1/100 binary64) n) (/.f64 #s(literal -100 binary64) (/.f64 n i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (/.f64 n i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (/.f64 #s(literal -1 binary64) (*.f64 n (-.f64 #s(literal 0 binary64) (/.f64 n i))))))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (/.f64 (*.f64 i #s(literal 1/2 binary64)) n) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 i (/.f64 n (/.f64 i #s(literal 100 binary64))))) (-.f64 #s(literal 0 binary64) i))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 (*.f64 #s(literal -100 binary64) (*.f64 n i)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (/.f64 n (/.f64 n i)) i) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 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 (+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) (/.f64 i (/.f64 i n)))
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(/.f64 (+.f64 (*.f64 (/.f64 n i) i) (*.f64 #s(literal -1/100 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (*.f64 n #s(literal -100 binary64))))) (*.f64 #s(literal -1/100 binary64) i))
(*.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 #s(literal 1 binary64) n) (/.f64 i n))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n n) (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n))))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 #s(literal 1 binary64) n)) (/.f64 i n)) (*.f64 i (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (*.f64 i (/.f64 i n)))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (*.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal -100 binary64) n)) (/.f64 #s(literal -100 binary64) n)) (*.f64 (/.f64 i #s(literal -100 binary64)) (/.f64 #s(literal -100 binary64) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i #s(literal -100 binary64))) (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) n) (/.f64 n #s(literal -100 binary64)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 i n) (/.f64 #s(literal 1 binary64) i))) (*.f64 (/.f64 i n) (/.f64 #s(literal 1 binary64) n))))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) i) i) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -100 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (*.f64 n #s(literal -100 binary64))))) (/.f64 (/.f64 i n) #s(literal -100 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (*.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (*.f64 i (/.f64 (*.f64 (/.f64 #s(literal 100 binary64) (/.f64 n i)) #s(literal 1/100 binary64)) #s(literal -100 binary64))))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal -1 binary64) n) (*.f64 (/.f64 #s(literal -100 binary64) i) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))) (*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 100 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 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 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n))) i)
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (-.f64 #s(literal 0 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 #s(literal -100 binary64) n) (*.f64 i #s(literal -1/100 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 #s(literal -100 binary64) n) (/.f64 i #s(literal -100 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 (*.f64 i #s(literal 100 binary64)) (*.f64 n #s(literal 100 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 (*.f64 n i) (*.f64 n n))))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 (/.f64 (/.f64 i #s(literal 1/100 binary64)) n) #s(literal 100 binary64))))
(/.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)))))) i)
(/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i)
Outputs
(*.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 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) n)
Calls

4 calls:

41.0ms
n
40.0ms
i
38.0ms
(*.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)))
35.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
91.2%4i
91.6%3n
95.3%3(*.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)))
95.3%3(/.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)

regimes161.0ms (0.8%)

Counts
151 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 n #s(literal 1/100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/100 binary64) n))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) i)
(*.f64 (/.f64 i (/.f64 i #s(literal 100 binary64))) n)
(*.f64 (/.f64 n i) (*.f64 i #s(literal 100 binary64)))
(*.f64 (/.f64 n i) (/.f64 i #s(literal 1/100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/100 binary64) (-.f64 #s(literal 0 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 n #s(literal 1/100 binary64))))
(/.f64 i (/.f64 (/.f64 i n) #s(literal 100 binary64)))
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 i (*.f64 n #s(literal 100 binary64))) i)
(/.f64 (*.f64 n (*.f64 i #s(literal 100 binary64))) i)
(/.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) n)
(*.f64 (*.f64 n #s(literal -100 binary64)) (+.f64 (*.f64 i #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) i) (*.f64 (*.f64 n i) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 0 binary64) i))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (*.f64 i #s(literal 100 binary64))))
(*.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) i))
(/.f64 (*.f64 (/.f64 n i) (-.f64 #s(literal 0 binary64) i)) #s(literal -1/100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 i (*.f64 (/.f64 #s(literal -100 binary64) n) (*.f64 i #s(literal -1/100 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 #s(literal 1 binary64) i)) (*.f64 n #s(literal -100 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (+.f64 i #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 i n) #s(literal 100 binary64))) (-.f64 #s(literal 0 binary64) i))
(+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) i)))
(/.f64 (*.f64 i (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))) i)
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 n (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n))))
(*.f64 (*.f64 (/.f64 i (/.f64 i (/.f64 n i))) #s(literal -100 binary64)) (-.f64 #s(literal 0 binary64) i))
(+.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 50/3 binary64) i) #s(literal 50 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n i) (-.f64 #s(literal 0 binary64) (/.f64 i (*.f64 n n))))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 #s(literal -1/100 binary64) n) (/.f64 #s(literal -100 binary64) (/.f64 n i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (/.f64 n i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (/.f64 #s(literal -1 binary64) (*.f64 n (-.f64 #s(literal 0 binary64) (/.f64 n i))))))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (/.f64 (*.f64 i #s(literal 1/2 binary64)) n) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 i (/.f64 n (/.f64 i #s(literal 100 binary64))))) (-.f64 #s(literal 0 binary64) i))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 (*.f64 #s(literal -100 binary64) (*.f64 n i)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (/.f64 n (/.f64 n i)) i) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 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 (+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) (/.f64 i (/.f64 i n)))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (*.f64 i (+.f64 (*.f64 i #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 #s(literal 0 binary64) i)))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/6 binary64)))))))) i)
(/.f64 (-.f64 (*.f64 (*.f64 i #s(literal -100 binary64)) #s(literal -1/100 binary64)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 i #s(literal -100 binary64)) #s(literal -100 binary64)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 i n) n) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) i)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 (*.f64 i (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 (*.f64 n i) (*.f64 i (*.f64 n n))) (/.f64 i n))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (/.f64 n i)) (*.f64 #s(literal -100 binary64) (/.f64 n (/.f64 n i))))) (-.f64 #s(literal 0 binary64) i))
(+.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 i (+.f64 (*.f64 n #s(literal 50 binary64)) (*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64)))))))
(+.f64 (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))) (*.f64 (*.f64 i i) (*.f64 n (+.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64)))))
(-.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (/.f64 (+.f64 i (*.f64 i #s(literal 0 binary64))) (/.f64 i (/.f64 #s(literal 100 binary64) (/.f64 i n)))))
(-.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (/.f64 (+.f64 i (*.f64 i #s(literal 0 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (/.f64 #s(literal -1/100 binary64) n) i)) i) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) i) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 n i) (/.f64 #s(literal 1 binary64) n)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (*.f64 n i))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (/.f64 (/.f64 i n) (/.f64 #s(literal 1 binary64) n)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 n i)) (/.f64 i #s(literal -100 binary64))) #s(literal -100 binary64)) (/.f64 i n))))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (*.f64 i (+.f64 (*.f64 i (+.f64 (*.f64 i #s(literal -1/24 binary64)) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 i (+.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)))))))))) i)
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (/.f64 #s(literal -1/100 binary64) n) i)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 #s(literal -1/100 binary64) (/.f64 n i))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (*.f64 #s(literal -1/100 binary64) i) n)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i #s(literal -100 binary64)) n)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (*.f64 i #s(literal 1 binary64))) (*.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))) i))
(/.f64 (-.f64 (*.f64 (*.f64 n (/.f64 #s(literal -100 binary64) n)) (/.f64 i #s(literal -100 binary64))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))) n) #s(literal -100 binary64)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 n i))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 n i)))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (/.f64 (*.f64 (/.f64 n #s(literal 1/100 binary64)) i) (/.f64 n #s(literal 1/100 binary64))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/100 binary64) (/.f64 #s(literal -1/100 binary64) n)) (/.f64 n i)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (/.f64 (/.f64 i (/.f64 #s(literal -1/100 binary64) n)) (/.f64 n #s(literal -1/100 binary64))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(*.f64 (neg.f64 (*.f64 (/.f64 (/.f64 i n) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 i (/.f64 i (*.f64 n #s(literal -100 binary64))))))) (-.f64 #s(literal 0 binary64) i))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 #s(literal 1/10000 binary64) (/.f64 #s(literal -100 binary64) (/.f64 n i)))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (/.f64 #s(literal -1/100 binary64) n) i)) (*.f64 (/.f64 i n) n)) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (/.f64 #s(literal -1/100 binary64) n) i)) (/.f64 (*.f64 n i) n)) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (/.f64 i #s(literal 100 binary64)) (/.f64 #s(literal -1 binary64) n))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (/.f64 #s(literal 100 binary64) (/.f64 #s(literal 100 binary64) i))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (/.f64 (/.f64 i #s(literal 1/100 binary64)) #s(literal 100 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (/.f64 (/.f64 i #s(literal -100 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 n #s(literal -100 binary64)))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 i i) (*.f64 (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))) (/.f64 n #s(literal -1/100 binary64)))) (/.f64 i (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i)))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (*.f64 #s(literal -1/100 binary64) (/.f64 i (*.f64 n #s(literal -100 binary64)))) #s(literal -100 binary64))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (/.f64 #s(literal -1/100 binary64) n) i)) (/.f64 (/.f64 i n) (/.f64 #s(literal 1 binary64) n))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))) i)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (*.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 #s(literal 1 binary64) (/.f64 n #s(literal 1/100 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -100 binary64) i) #s(literal -100 binary64)))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i (/.f64 n i)) (*.f64 i #s(literal -100 binary64)))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (*.f64 #s(literal -1/100 binary64) (*.f64 i #s(literal -100 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 n #s(literal -100 binary64))))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (/.f64 #s(literal -1/100 binary64) n) i)) (*.f64 (/.f64 #s(literal -1/100 binary64) (/.f64 #s(literal -1/100 binary64) n)) (/.f64 i n))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (/.f64 #s(literal -1/100 binary64) n) i)) (/.f64 (/.f64 (/.f64 i n) #s(literal -100 binary64)) (/.f64 #s(literal -1/100 binary64) n))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i (/.f64 n (/.f64 i #s(literal 100 binary64)))) (-.f64 #s(literal 0 binary64) i))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(*.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 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (/.f64 #s(literal -1/100 binary64) n) i)) (*.f64 (*.f64 (/.f64 i (/.f64 #s(literal -1/100 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal -1/100 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (/.f64 #s(literal -1/100 binary64) n) i)) (*.f64 (*.f64 (/.f64 n #s(literal -1/100 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 i #s(literal -100 binary64)))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (*.f64 i (+.f64 (*.f64 i (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))) #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 (*.f64 i #s(literal 100 binary64)) (+.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 (/.f64 i (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i)))) (*.f64 (/.f64 i (/.f64 #s(literal 100 binary64) (/.f64 i n))) i)) (/.f64 (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))) (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i)))))
(*.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 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (+.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 n #s(literal 100 binary64)) (*.f64 i (+.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (+.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 (*.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 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) #s(literal 100 binary64))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 n (expm1.f64 i))))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (exp.f64 i)))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 n #s(literal -1/100 binary64)) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(*.f64 (/.f64 #s(literal -100 binary64) (*.f64 (/.f64 #s(literal -100 binary64) n) (/.f64 i #s(literal -100 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 i)))
(-.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (/.f64 (exp.f64 i) (/.f64 i (*.f64 n #s(literal -100 binary64)))))
(fma.f64 i (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(fma.f64 (/.f64 n i) (/.f64 i (/.f64 i #s(literal -100 binary64))) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) n) 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 (/.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 (fma.f64 (/.f64 i #s(literal -100 binary64)) #s(literal -100 binary64) (-.f64 #s(literal 0 binary64) i)) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (fma.f64 (/.f64 i n) n (-.f64 #s(literal 0 binary64) i)) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 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 100 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 i (*.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) (/.f64 n (/.f64 n i))) #s(literal -1/100 binary64) (-.f64 #s(literal 0 binary64) i)) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (fma.f64 (*.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))) n) #s(literal -100 binary64) (-.f64 #s(literal 0 binary64) i)) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (fma.f64 (/.f64 i (/.f64 #s(literal -1/100 binary64) n)) (/.f64 #s(literal -1/100 binary64) n) (-.f64 #s(literal 0 binary64) i)) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (*.f64 i n)) (*.f64 i i)))
(+.f64 (/.f64 #s(literal 0 binary64) (/.f64 i n)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 i (/.f64 #s(literal 100 binary64) (/.f64 i n)))) i (/.f64 n (/.f64 i #s(literal -100 binary64)))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) n) (/.f64 i n)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i)) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (+.f64 (*.f64 (/.f64 n i) i) (*.f64 #s(literal -1/100 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (*.f64 n #s(literal -100 binary64))))) (*.f64 #s(literal -1/100 binary64) i))
(*.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 #s(literal 1 binary64) n) (/.f64 i n))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n n) (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n))))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 #s(literal 1 binary64) n)) (/.f64 i n)) (*.f64 i (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (*.f64 i (/.f64 i n)))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (*.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal -100 binary64) n)) (/.f64 #s(literal -100 binary64) n)) (*.f64 (/.f64 i #s(literal -100 binary64)) (/.f64 #s(literal -100 binary64) i))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i #s(literal -100 binary64))) (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) n) (/.f64 n #s(literal -100 binary64)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 i n) (/.f64 #s(literal 1 binary64) i))) (*.f64 (/.f64 i n) (/.f64 #s(literal 1 binary64) n))))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) i) i) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -100 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (*.f64 n #s(literal -100 binary64))))) (/.f64 (/.f64 i n) #s(literal -100 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -100 binary64)) (/.f64 (/.f64 i n) #s(literal -100 binary64))) (*.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (*.f64 i (/.f64 (*.f64 (/.f64 #s(literal 100 binary64) (/.f64 n i)) #s(literal 1/100 binary64)) #s(literal -100 binary64))))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal -1 binary64) n) (*.f64 (/.f64 #s(literal -100 binary64) i) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))) (*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 100 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 n)))))
Outputs
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) #s(literal 100 binary64))
(/.f64 (*.f64 (/.f64 n i) (-.f64 #s(literal 0 binary64) i)) #s(literal -1/100 binary64))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) #s(literal 100 binary64))
Calls

4 calls:

40.0ms
n
38.0ms
i
34.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
34.0ms
(*.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
85.8%4i
85.1%3n
83.8%3(*.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%3(/.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)

regimes73.0ms (0.3%)

Counts
115 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 n #s(literal 1/100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/100 binary64) n))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) i)
(*.f64 (/.f64 i (/.f64 i #s(literal 100 binary64))) n)
(*.f64 (/.f64 n i) (*.f64 i #s(literal 100 binary64)))
(*.f64 (/.f64 n i) (/.f64 i #s(literal 1/100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/100 binary64) (-.f64 #s(literal 0 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 n #s(literal 1/100 binary64))))
(/.f64 i (/.f64 (/.f64 i n) #s(literal 100 binary64)))
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 i (*.f64 n #s(literal 100 binary64))) i)
(/.f64 (*.f64 n (*.f64 i #s(literal 100 binary64))) i)
(/.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) n)
(*.f64 (*.f64 n #s(literal -100 binary64)) (+.f64 (*.f64 i #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) i) (*.f64 (*.f64 n i) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 0 binary64) i))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (*.f64 i #s(literal 100 binary64))))
(*.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) i))
(/.f64 (*.f64 (/.f64 n i) (-.f64 #s(literal 0 binary64) i)) #s(literal -1/100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 i (*.f64 (/.f64 #s(literal -100 binary64) n) (*.f64 i #s(literal -1/100 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 #s(literal 1 binary64) i)) (*.f64 n #s(literal -100 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (+.f64 i #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 i n) #s(literal 100 binary64))) (-.f64 #s(literal 0 binary64) i))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) i)))
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(+.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 i (+.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (+.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 (*.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 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
(+.f64 (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))) (*.f64 (*.f64 i i) (*.f64 n (+.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64)))))
(-.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (/.f64 (+.f64 i (*.f64 i #s(literal 0 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64)))))
Calls

2 calls:

30.0ms
n
29.0ms
i
Results
AccuracySegmentsBranch
82.9%3i
76.4%5n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes66.0ms (0.3%)

Counts
114 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 n #s(literal 1/100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/100 binary64) n))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
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(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (+.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (+.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 n #s(literal 100 binary64)) (*.f64 i (+.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (+.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 (*.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))))))))))))
Outputs
(+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 #s(literal 0 binary64) i)))
(+.f64 (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))) (*.f64 (*.f64 i i) (*.f64 n (+.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64)))))
(-.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (/.f64 (+.f64 i (*.f64 i #s(literal 0 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64)))))
Calls

2 calls:

29.0ms
n
29.0ms
i
Results
AccuracySegmentsBranch
70.9%3n
72.4%3i
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes22.0ms (0.1%)

Counts
63 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 n #s(literal 1/100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/100 binary64) n))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) i)
(*.f64 (/.f64 i (/.f64 i #s(literal 100 binary64))) n)
(*.f64 (/.f64 n i) (*.f64 i #s(literal 100 binary64)))
(*.f64 (/.f64 n i) (/.f64 i #s(literal 1/100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/100 binary64) (-.f64 #s(literal 0 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 n #s(literal 1/100 binary64))))
(/.f64 i (/.f64 (/.f64 i n) #s(literal 100 binary64)))
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 i (*.f64 n #s(literal 100 binary64))) i)
(/.f64 (*.f64 n (*.f64 i #s(literal 100 binary64))) i)
(/.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) n)
(*.f64 (*.f64 n #s(literal -100 binary64)) (+.f64 (*.f64 i #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) i) (*.f64 (*.f64 n i) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 0 binary64) i))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (*.f64 i #s(literal 100 binary64))))
(*.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) i))
(/.f64 (*.f64 (/.f64 n i) (-.f64 #s(literal 0 binary64) i)) #s(literal -1/100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 i (*.f64 (/.f64 #s(literal -100 binary64) n) (*.f64 i #s(literal -1/100 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 #s(literal 1 binary64) i)) (*.f64 n #s(literal -100 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (+.f64 i #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 i n) #s(literal 100 binary64))) (-.f64 #s(literal 0 binary64) i))
(+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) i)))
(/.f64 (*.f64 i (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))) i)
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 n (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n))))
(*.f64 (*.f64 (/.f64 i (/.f64 i (/.f64 n i))) #s(literal -100 binary64)) (-.f64 #s(literal 0 binary64) i))
(+.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 50/3 binary64) i) #s(literal 50 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n i) (-.f64 #s(literal 0 binary64) (/.f64 i (*.f64 n n))))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 #s(literal -1/100 binary64) n) (/.f64 #s(literal -100 binary64) (/.f64 n i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (/.f64 n i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (/.f64 #s(literal -1 binary64) (*.f64 n (-.f64 #s(literal 0 binary64) (/.f64 n i))))))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (/.f64 (*.f64 i #s(literal 1/2 binary64)) n) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 i (/.f64 n (/.f64 i #s(literal 100 binary64))))) (-.f64 #s(literal 0 binary64) i))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 (*.f64 #s(literal -100 binary64) (*.f64 n i)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (/.f64 n (/.f64 n i)) i) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 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 (+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) (/.f64 i (/.f64 i n)))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (*.f64 i (+.f64 (*.f64 i #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 #s(literal 0 binary64) i)))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/6 binary64)))))))) i)
(/.f64 (-.f64 (*.f64 (*.f64 i #s(literal -100 binary64)) #s(literal -1/100 binary64)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 i #s(literal -100 binary64)) #s(literal -100 binary64)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 i n) n) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) i)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 (*.f64 i (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 (*.f64 n i) (*.f64 i (*.f64 n n))) (/.f64 i n))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (/.f64 n i)) (*.f64 #s(literal -100 binary64) (/.f64 n (/.f64 n i))))) (-.f64 #s(literal 0 binary64) i))
(+.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 i (+.f64 (*.f64 n #s(literal 50 binary64)) (*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64)))))))
(+.f64 (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))) (*.f64 (*.f64 i i) (*.f64 n (+.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64)))))
(-.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) (/.f64 (+.f64 i (*.f64 i #s(literal 0 binary64))) (/.f64 i (/.f64 #s(literal 100 binary64) (/.f64 i n)))))
Outputs
(+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 #s(literal 0 binary64) i)))
(+.f64 (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))) (*.f64 (*.f64 i i) (*.f64 n (+.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64)))))
(+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 #s(literal 0 binary64) i)))
Calls

1 calls:

17.0ms
i
Results
AccuracySegmentsBranch
72.4%3i
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes20.0ms (0.1%)

Counts
61 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 n #s(literal 1/100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/100 binary64) n))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) i)
(*.f64 (/.f64 i (/.f64 i #s(literal 100 binary64))) n)
(*.f64 (/.f64 n i) (*.f64 i #s(literal 100 binary64)))
(*.f64 (/.f64 n i) (/.f64 i #s(literal 1/100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/100 binary64) (-.f64 #s(literal 0 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 n #s(literal 1/100 binary64))))
(/.f64 i (/.f64 (/.f64 i n) #s(literal 100 binary64)))
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 i (*.f64 n #s(literal 100 binary64))) i)
(/.f64 (*.f64 n (*.f64 i #s(literal 100 binary64))) i)
(/.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) n)
(*.f64 (*.f64 n #s(literal -100 binary64)) (+.f64 (*.f64 i #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) i) (*.f64 (*.f64 n i) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 0 binary64) i))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (*.f64 i #s(literal 100 binary64))))
(*.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) i))
(/.f64 (*.f64 (/.f64 n i) (-.f64 #s(literal 0 binary64) i)) #s(literal -1/100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 i (*.f64 (/.f64 #s(literal -100 binary64) n) (*.f64 i #s(literal -1/100 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 #s(literal 1 binary64) i)) (*.f64 n #s(literal -100 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (+.f64 i #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 i n) #s(literal 100 binary64))) (-.f64 #s(literal 0 binary64) i))
(+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) i)))
(/.f64 (*.f64 i (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))) i)
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 n (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n))))
(*.f64 (*.f64 (/.f64 i (/.f64 i (/.f64 n i))) #s(literal -100 binary64)) (-.f64 #s(literal 0 binary64) i))
(+.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 50/3 binary64) i) #s(literal 50 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n i) (-.f64 #s(literal 0 binary64) (/.f64 i (*.f64 n n))))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 #s(literal -1/100 binary64) n) (/.f64 #s(literal -100 binary64) (/.f64 n i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (/.f64 n i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (/.f64 #s(literal -1 binary64) (*.f64 n (-.f64 #s(literal 0 binary64) (/.f64 n i))))))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (/.f64 (*.f64 i #s(literal 1/2 binary64)) n) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 i (/.f64 n (/.f64 i #s(literal 100 binary64))))) (-.f64 #s(literal 0 binary64) i))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 (*.f64 #s(literal -100 binary64) (*.f64 n i)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (/.f64 n (/.f64 n i)) i) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 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 (+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) (/.f64 i (/.f64 i n)))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (*.f64 i (+.f64 (*.f64 i #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 #s(literal 0 binary64) i)))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/6 binary64)))))))) i)
(/.f64 (-.f64 (*.f64 (*.f64 i #s(literal -100 binary64)) #s(literal -1/100 binary64)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 i #s(literal -100 binary64)) #s(literal -100 binary64)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 i n) n) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) i)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 (*.f64 i (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 (*.f64 n i) (*.f64 i (*.f64 n n))) (/.f64 i n))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (/.f64 n i)) (*.f64 #s(literal -100 binary64) (/.f64 n (/.f64 n i))))) (-.f64 #s(literal 0 binary64) i))
(+.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 i (+.f64 (*.f64 n #s(literal 50 binary64)) (*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64)))))))
Outputs
(+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 #s(literal 0 binary64) i)))
(+.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 i (+.f64 (*.f64 n #s(literal 50 binary64)) (*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64)))))))
(+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 #s(literal 0 binary64) i)))
Calls

1 calls:

15.0ms
i
Results
AccuracySegmentsBranch
72.4%3i
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.1%)

Counts
60 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 n #s(literal 1/100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/100 binary64) n))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) i)
(*.f64 (/.f64 i (/.f64 i #s(literal 100 binary64))) n)
(*.f64 (/.f64 n i) (*.f64 i #s(literal 100 binary64)))
(*.f64 (/.f64 n i) (/.f64 i #s(literal 1/100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/100 binary64) (-.f64 #s(literal 0 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 n #s(literal 1/100 binary64))))
(/.f64 i (/.f64 (/.f64 i n) #s(literal 100 binary64)))
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 i (*.f64 n #s(literal 100 binary64))) i)
(/.f64 (*.f64 n (*.f64 i #s(literal 100 binary64))) i)
(/.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) n)
(*.f64 (*.f64 n #s(literal -100 binary64)) (+.f64 (*.f64 i #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) i) (*.f64 (*.f64 n i) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 0 binary64) i))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (*.f64 i #s(literal 100 binary64))))
(*.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) i))
(/.f64 (*.f64 (/.f64 n i) (-.f64 #s(literal 0 binary64) i)) #s(literal -1/100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 i (*.f64 (/.f64 #s(literal -100 binary64) n) (*.f64 i #s(literal -1/100 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 #s(literal 1 binary64) i)) (*.f64 n #s(literal -100 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (+.f64 i #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 i n) #s(literal 100 binary64))) (-.f64 #s(literal 0 binary64) i))
(+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) i)))
(/.f64 (*.f64 i (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))) i)
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 n (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n))))
(*.f64 (*.f64 (/.f64 i (/.f64 i (/.f64 n i))) #s(literal -100 binary64)) (-.f64 #s(literal 0 binary64) i))
(+.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 50/3 binary64) i) #s(literal 50 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n i) (-.f64 #s(literal 0 binary64) (/.f64 i (*.f64 n n))))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 #s(literal -1/100 binary64) n) (/.f64 #s(literal -100 binary64) (/.f64 n i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (/.f64 n i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (/.f64 #s(literal -1 binary64) (*.f64 n (-.f64 #s(literal 0 binary64) (/.f64 n i))))))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (/.f64 (*.f64 i #s(literal 1/2 binary64)) n) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 i (/.f64 n (/.f64 i #s(literal 100 binary64))))) (-.f64 #s(literal 0 binary64) i))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 (*.f64 #s(literal -100 binary64) (*.f64 n i)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (/.f64 n (/.f64 n i)) i) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 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 (+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) (/.f64 i (/.f64 i n)))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (*.f64 i (+.f64 (*.f64 i #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 #s(literal 0 binary64) i)))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/6 binary64)))))))) i)
(/.f64 (-.f64 (*.f64 (*.f64 i #s(literal -100 binary64)) #s(literal -1/100 binary64)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 i #s(literal -100 binary64)) #s(literal -100 binary64)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 i n) n) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) i)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 (*.f64 i (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 (*.f64 n i) (*.f64 i (*.f64 n n))) (/.f64 i n))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (/.f64 n i)) (*.f64 #s(literal -100 binary64) (/.f64 n (/.f64 n i))))) (-.f64 #s(literal 0 binary64) i))
Outputs
(+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 #s(literal 0 binary64) i)))
(+.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 50/3 binary64) i) #s(literal 50 binary64)))))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/6 binary64)))))))) i)
(+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 #s(literal 0 binary64) i)))
Calls

1 calls:

15.0ms
i
Results
AccuracySegmentsBranch
73.1%4i
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes32.0ms (0.2%)

Counts
52 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 n #s(literal 1/100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/100 binary64) n))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) i)
(*.f64 (/.f64 i (/.f64 i #s(literal 100 binary64))) n)
(*.f64 (/.f64 n i) (*.f64 i #s(literal 100 binary64)))
(*.f64 (/.f64 n i) (/.f64 i #s(literal 1/100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/100 binary64) (-.f64 #s(literal 0 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 n #s(literal 1/100 binary64))))
(/.f64 i (/.f64 (/.f64 i n) #s(literal 100 binary64)))
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 i (*.f64 n #s(literal 100 binary64))) i)
(/.f64 (*.f64 n (*.f64 i #s(literal 100 binary64))) i)
(/.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) n)
(*.f64 (*.f64 n #s(literal -100 binary64)) (+.f64 (*.f64 i #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) i) (*.f64 (*.f64 n i) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 0 binary64) i))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (*.f64 i #s(literal 100 binary64))))
(*.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) i))
(/.f64 (*.f64 (/.f64 n i) (-.f64 #s(literal 0 binary64) i)) #s(literal -1/100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 i (*.f64 (/.f64 #s(literal -100 binary64) n) (*.f64 i #s(literal -1/100 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 #s(literal 1 binary64) i)) (*.f64 n #s(literal -100 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (+.f64 i #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 i n) #s(literal 100 binary64))) (-.f64 #s(literal 0 binary64) i))
(+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) i)))
(/.f64 (*.f64 i (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))) i)
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 n (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n))))
(*.f64 (*.f64 (/.f64 i (/.f64 i (/.f64 n i))) #s(literal -100 binary64)) (-.f64 #s(literal 0 binary64) i))
(+.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 50/3 binary64) i) #s(literal 50 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n i) (-.f64 #s(literal 0 binary64) (/.f64 i (*.f64 n n))))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 #s(literal -1/100 binary64) n) (/.f64 #s(literal -100 binary64) (/.f64 n i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (/.f64 n i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (/.f64 #s(literal -1 binary64) (*.f64 n (-.f64 #s(literal 0 binary64) (/.f64 n i))))))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (/.f64 (*.f64 i #s(literal 1/2 binary64)) n) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 i (/.f64 n (/.f64 i #s(literal 100 binary64))))) (-.f64 #s(literal 0 binary64) i))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 (*.f64 #s(literal -100 binary64) (*.f64 n i)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (/.f64 n (/.f64 n i)) i) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 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 (+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) (/.f64 i (/.f64 i n)))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (*.f64 i (+.f64 (*.f64 i #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 #s(literal 0 binary64) i)))
Outputs
(+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 #s(literal 0 binary64) i)))
(+.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 50/3 binary64) i) #s(literal 50 binary64)))))
(+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 #s(literal 0 binary64) i)))
Calls

2 calls:

14.0ms
i
13.0ms
n
Results
AccuracySegmentsBranch
69.0%3n
70.6%3i
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes30.0ms (0.1%)

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

2 calls:

14.0ms
n
13.0ms
i
Results
AccuracySegmentsBranch
69.0%3n
67.6%3i
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts
37 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 n #s(literal 1/100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/100 binary64) n))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) i)
(*.f64 (/.f64 i (/.f64 i #s(literal 100 binary64))) n)
(*.f64 (/.f64 n i) (*.f64 i #s(literal 100 binary64)))
(*.f64 (/.f64 n i) (/.f64 i #s(literal 1/100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/100 binary64) (-.f64 #s(literal 0 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 n #s(literal 1/100 binary64))))
(/.f64 i (/.f64 (/.f64 i n) #s(literal 100 binary64)))
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 i (*.f64 n #s(literal 100 binary64))) i)
(/.f64 (*.f64 n (*.f64 i #s(literal 100 binary64))) i)
(/.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) n)
(*.f64 (*.f64 n #s(literal -100 binary64)) (+.f64 (*.f64 i #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) i) (*.f64 (*.f64 n i) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 0 binary64) i))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (*.f64 i #s(literal 100 binary64))))
(*.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) i))
(/.f64 (*.f64 (/.f64 n i) (-.f64 #s(literal 0 binary64) i)) #s(literal -1/100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 i (*.f64 (/.f64 #s(literal -100 binary64) n) (*.f64 i #s(literal -1/100 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 #s(literal 1 binary64) i)) (*.f64 n #s(literal -100 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (+.f64 i #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 i n) #s(literal 100 binary64))) (-.f64 #s(literal 0 binary64) i))
(+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) i)))
(/.f64 (*.f64 i (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))) i)
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 n (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 i n) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 i n))))
(*.f64 (*.f64 (/.f64 i (/.f64 i (/.f64 n i))) #s(literal -100 binary64)) (-.f64 #s(literal 0 binary64) i))
Outputs
(/.f64 (*.f64 i (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))) i)
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(/.f64 (*.f64 i (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))) i)
Calls

1 calls:

10.0ms
n
Results
AccuracySegmentsBranch
68.4%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes20.0ms (0.1%)

Counts
32 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 n #s(literal 1/100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/100 binary64) n))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) i)
(*.f64 (/.f64 i (/.f64 i #s(literal 100 binary64))) n)
(*.f64 (/.f64 n i) (*.f64 i #s(literal 100 binary64)))
(*.f64 (/.f64 n i) (/.f64 i #s(literal 1/100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/100 binary64) (-.f64 #s(literal 0 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 n #s(literal 1/100 binary64))))
(/.f64 i (/.f64 (/.f64 i n) #s(literal 100 binary64)))
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 i (*.f64 n #s(literal 100 binary64))) i)
(/.f64 (*.f64 n (*.f64 i #s(literal 100 binary64))) i)
(/.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) n)
(*.f64 (*.f64 n #s(literal -100 binary64)) (+.f64 (*.f64 i #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) i) (*.f64 (*.f64 n i) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 0 binary64) i))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (*.f64 i #s(literal 100 binary64))))
(*.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) i))
(/.f64 (*.f64 (/.f64 n i) (-.f64 #s(literal 0 binary64) i)) #s(literal -1/100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 i (*.f64 (/.f64 #s(literal -100 binary64) n) (*.f64 i #s(literal -1/100 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 #s(literal 1 binary64) i)) (*.f64 n #s(literal -100 binary64)))
(*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (+.f64 i #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 i n) #s(literal 100 binary64))) (-.f64 #s(literal 0 binary64) i))
(+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 n #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) i)))
Outputs
#s(literal 0 binary64)
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))
(/.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) n)
Calls

2 calls:

10.0ms
i
8.0ms
n
Results
AccuracySegmentsBranch
65.9%3i
65.5%3n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
18 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 n #s(literal 1/100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/100 binary64) n))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) i)
(*.f64 (/.f64 i (/.f64 i #s(literal 100 binary64))) n)
(*.f64 (/.f64 n i) (*.f64 i #s(literal 100 binary64)))
(*.f64 (/.f64 n i) (/.f64 i #s(literal 1/100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/100 binary64) (-.f64 #s(literal 0 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 n #s(literal 1/100 binary64))))
(/.f64 i (/.f64 (/.f64 i n) #s(literal 100 binary64)))
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 i (*.f64 n #s(literal 100 binary64))) i)
(/.f64 (*.f64 n (*.f64 i #s(literal 100 binary64))) i)
Outputs
(/.f64 (*.f64 i (*.f64 n #s(literal 100 binary64))) i)
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))
Calls

2 calls:

5.0ms
n
5.0ms
i
Results
AccuracySegmentsBranch
65.5%3n
64.6%3i
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Counts
16 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 n #s(literal 1/100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/100 binary64) n))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i n)) i)
(*.f64 (/.f64 i (/.f64 i #s(literal 100 binary64))) n)
(*.f64 (/.f64 n i) (*.f64 i #s(literal 100 binary64)))
(*.f64 (/.f64 n i) (/.f64 i #s(literal 1/100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/100 binary64) (-.f64 #s(literal 0 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 n #s(literal 1/100 binary64))))
(/.f64 i (/.f64 (/.f64 i n) #s(literal 100 binary64)))
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
Outputs
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))
Calls

1 calls:

5.0ms
n
Results
AccuracySegmentsBranch
65.2%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Counts
7 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 100 binary64) n)
(*.f64 i #s(literal -50 binary64))
(/.f64 n #s(literal 1/100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/100 binary64) n))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
Outputs
#s(literal 0 binary64)
(*.f64 #s(literal 100 binary64) n)
#s(literal 0 binary64)
Calls

2 calls:

3.0ms
n
3.0ms
i
Results
AccuracySegmentsBranch
62.8%3i
62.2%3n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

2 calls:

1.0ms
n
1.0ms
i
Results
AccuracySegmentsBranch
13.3%1n
13.3%1i
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
6.07980289839484e-297
1.7023545446765637e-137
Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch90.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
36.0ms
0.43143827941922297
3687.377405202844
48.0ms
-2.186367205911604e-48
-1.6459233784631484e-50
Results
66.0ms196×1valid
4.0ms62×0invalid
4.0ms44×0valid
Compiler

Compiled 367 to 269 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-pow: 35.0ms (62.9% of total)
ival-div: 8.0ms (14.4% of total)
backward-pass: 4.0ms (7.2% of total)
ival-add: 3.0ms (5.4% of total)
ival-mult: 3.0ms (5.4% of total)
ival-sub: 3.0ms (5.4% of total)
const: 1.0ms (1.8% of total)

bsearch63.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
27.0ms
8.384302678276811e+195
2.797446590630132e+196
32.0ms
-0.0023392258764442465
-0.00021093084627706239
Results
42.0ms112×1valid
7.0ms64×0valid
3.0ms46×0invalid
Compiler

Compiled 440 to 308 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-pow: 17.0ms (41.8% of total)
ival-div: 15.0ms (36.9% of total)
ival-add: 2.0ms (4.9% of total)
ival-sub: 2.0ms (4.9% of total)
backward-pass: 2.0ms (4.9% of total)
ival-mult: 2.0ms (4.9% of total)
const: 1.0ms (2.5% of total)

bsearch85.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
8.384302678276811e+195
2.797446590630132e+196
62.0ms
-442442028520.8707
-0.0023392258764442465
Results
60.0ms181×1valid
6.0ms59×0valid
4.0ms56×0invalid
Compiler

Compiled 662 to 454 computations (31.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-pow: 27.0ms (49.8% of total)
ival-div: 15.0ms (27.6% of total)
ival-add: 3.0ms (5.5% of total)
ival-sub: 3.0ms (5.5% of total)
backward-pass: 3.0ms (5.5% of total)
ival-mult: 3.0ms (5.5% of total)
const: 1.0ms (1.8% of total)

bsearch85.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
8.384302678276811e+195
2.797446590630132e+196
63.0ms
-442442028520.8707
-0.0023392258764442465
Results
60.0ms179×1valid
6.0ms61×0valid
4.0ms64×0invalid
Compiler

Compiled 652 to 449 computations (31.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-pow: 35.0ms (64.3% of total)
ival-div: 8.0ms (14.7% of total)
ival-add: 3.0ms (5.5% of total)
ival-sub: 3.0ms (5.5% of total)
backward-pass: 3.0ms (5.5% of total)
ival-mult: 3.0ms (5.5% of total)
const: 1.0ms (1.8% of total)

bsearch84.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
8.384302678276811e+195
2.797446590630132e+196
61.0ms
-442442028520.8707
-0.0023392258764442465
Results
59.0ms177×1valid
6.0ms63×0valid
3.0ms48×0invalid
Compiler

Compiled 652 to 449 computations (31.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-pow: 26.0ms (48.7% of total)
ival-mult: 10.0ms (18.7% of total)
ival-div: 7.0ms (13.1% of total)
ival-sub: 3.0ms (5.6% of total)
backward-pass: 3.0ms (5.6% of total)
ival-add: 2.0ms (3.7% of total)
const: 1.0ms (1.9% of total)

bsearch137.0ms (0.7%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
8.384302678276811e+195
2.797446590630132e+196
47.0ms
2.131065855576879e-162
2.061777934863108e-160
64.0ms
-6.522218223316962e+35
-4.2982508207787675e+24
Results
94.0ms276×1valid
12.0ms70×0valid
5.0ms68×0invalid
5.0ms6×2valid
Compiler

Compiled 834 to 593 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-pow: 56.0ms (64.6% of total)
ival-div: 12.0ms (13.8% of total)
backward-pass: 5.0ms (5.8% of total)
ival-sub: 5.0ms (5.8% of total)
ival-add: 4.0ms (4.6% of total)
ival-mult: 4.0ms (4.6% of total)
const: 1.0ms (1.2% of total)

bsearch81.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
8.384302678276811e+195
2.797446590630132e+196
58.0ms
-6.522218223316962e+35
-4.2982508207787675e+24
Results
56.0ms169×1valid
7.0ms71×0valid
3.0ms43×0invalid
Compiler

Compiled 562 to 389 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-pow: 33.0ms (63.8% of total)
ival-div: 7.0ms (13.5% of total)
ival-sub: 3.0ms (5.8% of total)
backward-pass: 3.0ms (5.8% of total)
ival-mult: 3.0ms (5.8% of total)
ival-add: 2.0ms (3.9% of total)
const: 1.0ms (1.9% of total)

bsearch95.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
36.0ms
0.43143827941922297
3687.377405202844
54.0ms
-3.877714485745862e-7
-1.3749953014908995e-16
Results
68.0ms210×1valid
6.0ms62×0valid
5.0ms75×0invalid
Compiler

Compiled 464 to 337 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-pow: 36.0ms (59.6% of total)
ival-div: 9.0ms (14.9% of total)
ival-mult: 5.0ms (8.3% of total)
backward-pass: 4.0ms (6.6% of total)
ival-add: 3.0ms (5% of total)
ival-sub: 3.0ms (5% of total)
const: 1.0ms (1.7% of total)

bsearch90.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
33.0ms
3687.377405202844
432994.6014560193
51.0ms
-3.877714485745862e-7
-1.3749953014908995e-16
Results
59.0ms188×1valid
6.0ms59×0valid
5.0ms9×2valid
4.0ms58×0invalid
Compiler

Compiled 406 to 286 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-pow: 36.0ms (62.7% of total)
ival-div: 8.0ms (13.9% of total)
backward-pass: 4.0ms (7% of total)
ival-add: 3.0ms (5.2% of total)
ival-sub: 3.0ms (5.2% of total)
ival-mult: 3.0ms (5.2% of total)
const: 1.0ms (1.7% of total)

bsearch130.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
81.0ms
101289500.0570601
5.547127255196008e+33
43.0ms
-0.00021093084627706239
-3.018789145780084e-8
Results
105.0ms282×1valid
5.0ms68×0invalid
2.0ms22×0valid
Compiler

Compiled 354 to 275 computations (22.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-pow: 62.0ms (69.7% of total)
ival-div: 10.0ms (11.2% of total)
backward-pass: 5.0ms (5.6% of total)
ival-sub: 4.0ms (4.5% of total)
ival-mult: 4.0ms (4.5% of total)
ival-add: 3.0ms (3.4% of total)
const: 1.0ms (1.1% of total)

bsearch75.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
37.0ms
0.43143827941922297
3687.377405202844
34.0ms
-3.877714485745862e-7
-1.3749953014908995e-16
Results
47.0ms168×1valid
6.0ms47×0valid
5.0ms9×2valid
4.0ms58×0invalid
Compiler

Compiled 302 to 218 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-pow: 26.0ms (57.6% of total)
ival-div: 7.0ms (15.5% of total)
ival-sub: 3.0ms (6.7% of total)
backward-pass: 3.0ms (6.7% of total)
ival-mult: 3.0ms (6.7% of total)
ival-add: 2.0ms (4.4% of total)
const: 1.0ms (2.2% of total)

bsearch88.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
34.0ms
0.43143827941922297
3687.377405202844
49.0ms
-3.877714485745862e-7
-1.3749953014908995e-16
Results
62.0ms198×1valid
6.0ms74×0valid
4.0ms67×0invalid
Compiler

Compiled 362 to 269 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-pow: 34.0ms (61.4% of total)
ival-div: 8.0ms (14.4% of total)
backward-pass: 4.0ms (7.2% of total)
ival-add: 3.0ms (5.4% of total)
ival-mult: 3.0ms (5.4% of total)
ival-sub: 3.0ms (5.4% of total)
const: 1.0ms (1.8% of total)

bsearch75.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
30.0ms
7.050027722342956e+125
1.5024828027838328e+127
41.0ms
-0.00021093084627706239
-3.018789145780084e-8
Results
53.0ms182×1valid
6.0ms58×0valid
3.0ms54×0invalid
Compiler

Compiled 172 to 149 computations (13.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-pow: 26.0ms (55.6% of total)
ival-div: 9.0ms (19.2% of total)
ival-sub: 3.0ms (6.4% of total)
backward-pass: 3.0ms (6.4% of total)
ival-mult: 3.0ms (6.4% of total)
ival-add: 2.0ms (4.3% of total)
const: 1.0ms (2.1% of total)

simplify93.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
832×distribute-lft-neg-in_binary64
418×neg-mul-1_binary64
390×neg-sub0_binary64
294×cancel-sign-sub_binary64
286×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0159549
1237549
2257543
3296543
4334543
5364543
6387543
7403543
8418543
9517543
10794543
111201543
121637543
131971543
142180543
152262543
162299543
172311543
182311543
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 3681675540198023/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368 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 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) n)) (*.f64 #s(literal 100 binary64) n)))
(if (<=.f64 n #s(literal -3044183431044231/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) #s(literal 100 binary64)) (if (<=.f64 n #s(literal 2476979795053773/1125899906842624 binary64)) (/.f64 (*.f64 (/.f64 n i) (-.f64 #s(literal 0 binary64) i)) #s(literal -1/100 binary64)) (*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) #s(literal 100 binary64))))
(if (<=.f64 i #s(literal -4796153459164483/18446744073709551616 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n))) (if (<=.f64 i #s(literal 19999999999999999022865849278470264106778320922372433398933167781147023447499918366556775778344680456191750897534276513413896506501104986185271471852552907987540733076746850001554473076458172448768 binary64)) (+.f64 (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))) (*.f64 (*.f64 i i) (*.f64 n (+.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64))))) (-.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (/.f64 (+.f64 i (*.f64 i #s(literal 0 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64)))))))
(if (<=.f64 i #s(literal -3039929748475085/1125899906842624 binary64)) (+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 #s(literal 0 binary64) i))) (if (<=.f64 i #s(literal 26999999999999999510772010302133448246632305983435015291049022953035861653256355732982209583346947895800273501092032150748337606036649567829146702083301487360554956476400984914334899333520437542912 binary64)) (+.f64 (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))) (*.f64 (*.f64 i i) (*.f64 n (+.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64))))) (-.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (/.f64 (+.f64 i (*.f64 i #s(literal 0 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64)))))))
(if (<=.f64 i #s(literal -5291729562160333/2251799813685248 binary64)) (+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 #s(literal 0 binary64) i))) (if (<=.f64 i #s(literal 26999999999999999510772010302133448246632305983435015291049022953035861653256355732982209583346947895800273501092032150748337606036649567829146702083301487360554956476400984914334899333520437542912 binary64)) (+.f64 (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))) (*.f64 (*.f64 i i) (*.f64 n (+.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64))))) (+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 #s(literal 0 binary64) i)))))
(if (<=.f64 i #s(literal -3152519739159347/1125899906842624 binary64)) (+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 #s(literal 0 binary64) i))) (if (<=.f64 i #s(literal 26999999999999999510772010302133448246632305983435015291049022953035861653256355732982209583346947895800273501092032150748337606036649567829146702083301487360554956476400984914334899333520437542912 binary64)) (+.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 i (+.f64 (*.f64 n #s(literal 50 binary64)) (*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64))))))) (+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 #s(literal 0 binary64) i)))))
(if (<=.f64 i #s(literal -33000000000000001056964608 binary64)) (+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 #s(literal 0 binary64) i))) (if (<=.f64 i #s(literal 2406030145530361/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264 binary64)) (+.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 50/3 binary64) i) #s(literal 50 binary64))))) (if (<=.f64 i #s(literal 26999999999999999510772010302133448246632305983435015291049022953035861653256355732982209583346947895800273501092032150748337606036649567829146702083301487360554956476400984914334899333520437542912 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/6 binary64)))))))) i) (+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 #s(literal 0 binary64) i))))))
(if (<=.f64 i #s(literal -9500000000000000109051904 binary64)) (+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 #s(literal 0 binary64) i))) (if (<=.f64 i #s(literal 26999999999999999510772010302133448246632305983435015291049022953035861653256355732982209583346947895800273501092032150748337606036649567829146702083301487360554956476400984914334899333520437542912 binary64)) (+.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 50/3 binary64) i) #s(literal 50 binary64))))) (+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 #s(literal 0 binary64) i)))))
(if (<=.f64 n #s(literal -7177997053961861/37778931862957161709568 binary64)) (+.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 50/3 binary64) i) #s(literal 50 binary64))))) (if (<=.f64 n #s(literal 8106479329266893/4503599627370496 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n))) (+.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 i (*.f64 n (+.f64 (*.f64 #s(literal 50/3 binary64) i) #s(literal 50 binary64)))))))
(if (<=.f64 n #s(literal -7177997053961861/18889465931478580854784 binary64)) (/.f64 (*.f64 i (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))) i) (if (<=.f64 n #s(literal 3700 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n))) (/.f64 (*.f64 i (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))) i)))
(if (<=.f64 i #s(literal -1936908127739503/9223372036854775808 binary64)) #s(literal 0 binary64) (if (<=.f64 i #s(literal 102000000 binary64)) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))) (/.f64 (*.f64 (*.f64 n n) #s(literal 100 binary64)) n)))
(if (<=.f64 n #s(literal -4951760157141521/2475880078570760549798248448 binary64)) (/.f64 (*.f64 i (*.f64 n #s(literal 100 binary64))) i) (if (<=.f64 n #s(literal 6530219459687219/4503599627370496 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))))
(if (<=.f64 n #s(literal -7177997053961861/18889465931478580854784 binary64)) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))) (if (<=.f64 n #s(literal 6530219459687219/4503599627370496 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n))) (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))))
(if (<=.f64 i #s(literal -1936908127739503/9223372036854775808 binary64)) #s(literal 0 binary64) (if (<=.f64 i #s(literal 1549999999999999996275074482582962104639308494132176929263562604548559803912445824780936620833572649572423513010063820571279360 binary64)) (*.f64 #s(literal 100 binary64) n) #s(literal 0 binary64)))
#s(literal 0 binary64)
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 3681675540198023/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368 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 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) n)) (*.f64 #s(literal 100 binary64) 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 3681675540198023/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368 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 n (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i))) (*.f64 n #s(literal 100 binary64))))
(if (<=.f64 n #s(literal -3044183431044231/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) #s(literal 100 binary64)) (if (<=.f64 n #s(literal 2476979795053773/1125899906842624 binary64)) (/.f64 (*.f64 (/.f64 n i) (-.f64 #s(literal 0 binary64) i)) #s(literal -1/100 binary64)) (*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) #s(literal 100 binary64))))
(if (<=.f64 n #s(literal -3044183431044231/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (if (<=.f64 n #s(literal 2476979795053773/1125899906842624 binary64)) (/.f64 (*.f64 i (-.f64 #s(literal 0 binary64) (/.f64 n i))) #s(literal -1/100 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))))
(if (<=.f64 i #s(literal -4796153459164483/18446744073709551616 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n))) (if (<=.f64 i #s(literal 19999999999999999022865849278470264106778320922372433398933167781147023447499918366556775778344680456191750897534276513413896506501104986185271471852552907987540733076746850001554473076458172448768 binary64)) (+.f64 (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))) (*.f64 (*.f64 i i) (*.f64 n (+.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64))))) (-.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (/.f64 (+.f64 i (*.f64 i #s(literal 0 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64)))))))
(if (<=.f64 i #s(literal -4796153459164483/18446744073709551616 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n))) (if (<=.f64 i #s(literal 19999999999999999022865849278470264106778320922372433398933167781147023447499918366556775778344680456191750897534276513413896506501104986185271471852552907987540733076746850001554473076458172448768 binary64)) (+.f64 (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64)))) (*.f64 (*.f64 i i) (*.f64 n (+.f64 (*.f64 i #s(literal 25/6 binary64)) #s(literal 50/3 binary64))))) (+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (/.f64 (-.f64 (*.f64 i #s(literal 0 binary64)) i) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64)))))))
(if (<=.f64 i #s(literal -3039929748475085/1125899906842624 binary64)) (+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 #s(literal 0 binary64) i))) (if (<=.f64 i #s(literal 26999999999999999510772010302133448246632305983435015291049022953035861653256355732982209583346947895800273501092032150748337606036649567829146702083301487360554956476400984914334899333520437542912 binary64)) (+.f64 (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))) (*.f64 (*.f64 i i) (*.f64 n (+.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64))))) (-.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (/.f64 (+.f64 i (*.f64 i #s(literal 0 binary64))) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64)))))))
(if (<=.f64 i #s(literal -3039929748475085/1125899906842624 binary64)) (-.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 i (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))))) (if (<=.f64 i #s(literal 26999999999999999510772010302133448246632305983435015291049022953035861653256355732982209583346947895800273501092032150748337606036649567829146702083301487360554956476400984914334899333520437542912 binary64)) (+.f64 (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64)))) (*.f64 (*.f64 i i) (*.f64 n (+.f64 (*.f64 i #s(literal 25/6 binary64)) #s(literal 50/3 binary64))))) (+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (/.f64 (-.f64 (*.f64 i #s(literal 0 binary64)) i) (*.f64 i (/.f64 (/.f64 i n) #s(literal -100 binary64)))))))
(if (<=.f64 i #s(literal -5291729562160333/2251799813685248 binary64)) (+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 #s(literal 0 binary64) i))) (if (<=.f64 i #s(literal 26999999999999999510772010302133448246632305983435015291049022953035861653256355732982209583346947895800273501092032150748337606036649567829146702083301487360554956476400984914334899333520437542912 binary64)) (+.f64 (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i))) (*.f64 (*.f64 i i) (*.f64 n (+.f64 (*.f64 #s(literal 25/6 binary64) i) #s(literal 50/3 binary64))))) (+.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))) (-.f64 #s(literal 0 binary64) i)))))
(if (<=.f64 i #s(literal -5291729562160333/2251799813685248 binary64)) (-.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 i (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i))))) (if (<=.f64 i #s(literal 26999999999999999510772010302133448246632305983435015291049022953035861653256355732982209583346947895800273501092032150748337606036649567829146702083301487360554956476400984914334899333520437542912 binary64)) (+.f64 (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 i #s(literal 50 binary64)))) (*.f64 (*.f64 i i) (*.f64 n (+.f64 (*.f64 i #s(literal 25/6 binary64)) #s(literal 50/3 binary64))))) (-.f64 (/.f64 n (/.f64 i #s(literal -100 binary64))) (*.f64 i (/.f64 #s(literal -100 binary64) (/.f64 i (/.f64 n i)))))))
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#s(literal 0 binary64)

soundness3.8s (18.1%)

Rules
5962×*-lowering-*.f32
5962×*-lowering-*.f64
5960×+-lowering-+.f64
5960×+-lowering-+.f32
5728×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
09089211
130228074
084458074
07344944
124904414
084354414
035166
1174131
2118097
3739297
0832997
09737835
133346986
081376986
06975757
124245004
084745004
01015
12415
25114
310414
421414
552914
6108214
7198714
8430714
9727814
0804514
035151
1151151
2824131
08555131
01476
15667
230467
3199467
0831467
037199
1195166
21404137
09608137
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
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1542 to 773 computations (49.9% saved)

preprocess89.0ms (0.4%)

Compiler

Compiled 1364 to 370 computations (72.9% saved)

end0.0ms (0%)

Profiling

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