Compound Interest

Time bar (total: 13.1s)

analyze152.0ms (1.2%)

Memory
27.6MiB live, 263.7MiB allocated
Algorithm
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%0.4%0%9
59.3%58.7%40.4%0.1%0%0.8%0%10
65.5%64.5%34%0.1%0%1.5%0%11
67.8%66.6%31.6%0.1%0%1.8%0%12
Compiler

Compiled 17 to 12 computations (29.4% saved)

sample3.6s (27.2%)

Memory
9.8MiB live, 3 133.8MiB allocated
Samples
1.6s4 509×1valid
802.0ms1 591×2valid
435.0ms2 017×0invalid
155.0ms2 099×0valid
45.0ms57×3valid
2.0ms22×1exit
Precisions
Click to see histograms. Total time spent on operations: 2.7s
ival-pow: 1.3s (47.2% of total)
ival-div: 582.0ms (21.7% of total)
adjust: 472.0ms (17.6% of total)
ival-mult: 131.0ms (4.9% of total)
ival-sub: 119.0ms (4.4% of total)
ival-add: 88.0ms (3.3% of total)
exact: 10.0ms (0.4% of total)
ival-true: 8.0ms (0.3% of total)
ival-assert: 4.0ms (0.1% of total)
Bogosity

preprocess201.0ms (1.5%)

Memory
35.7MiB live, 154.8MiB allocated
Algorithm
egg-herbie
Rules
1 792×lower-fma.f64
1 792×lower-fma.f32
1 490×div-sub
1 136×lower-*.f32
1 134×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02685
18281
224277
393477
4383277
5601477
01015
01615
13015
25615
310415
420315
546915
677915
7123615
8197915
9283415
10330615
11344715
12345715
13345815
14345815
15347815
16348615
17348615
0348614
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(*.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)))
Outputs
(*.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 n i) (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64)))

explain325.0ms (2.5%)

Memory
-24.8MiB live, 449.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1961(-0.007567798297376887 -3.6064038434611627e+179)0-(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
5780(3.72048285908992e-182 -1.0339629325839088e+281)0-(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
450-6(8.048206863284086e-210 -4.932291317369488e+109)(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
00-0-n
00-0-(+.f64 #s(literal 1 binary64) (/.f64 i n))
00-0-#s(literal 1 binary64)
00-0-i
00-0-(/.f64 i n)
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-#s(literal 100 binary64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))cancellation1971
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)sensitivity1110
/.f64(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))n/u390
(/.f64 i n)underflow39
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)oflow-rescue260
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)overflow30
(/.f64 i n)overflow26
(+.f64 #s(literal 1 binary64) (/.f64 i n))overflow26
Confusion
Predicted +Predicted -
+1930
-3132
Precision
0.8616071428571429
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+19300
-31131
Precision?
0.8577777777777778
Recall?
1.0
Freqs
test
numberfreq
032
1114
271
339
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
101.0ms292×1valid
67.0ms144×2valid
8.0ms70×0valid
6.0ms3valid
Compiler

Compiled 150 to 44 computations (70.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 152.0ms
ival-pow: 105.0ms (68.9% of total)
ival-div: 16.0ms (10.5% of total)
adjust: 12.0ms (7.9% of total)
ival-sub: 7.0ms (4.6% of total)
ival-mult: 6.0ms (3.9% of total)
ival-add: 5.0ms (3.3% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.2%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 17 to 10 computations (41.2% saved)

simplify162.0ms (1.2%)

Memory
0.8MiB live, 116.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
cost-diff0
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
cost-diff128
(*.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)))
cost-diff384
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Rules
1 792×lower-fma.f64
1 792×lower-fma.f32
1 136×lower-*.f32
1 134×lower-*.f64
654×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01056
01656
13056
25656
310456
420356
546956
677956
7123656
8197956
9283456
10330656
11344756
12345756
13345856
14345856
15347856
16348656
17348656
0348655
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.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)))
#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 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
#s(literal 1 binary64)
(/.f64 i n)
i
n
Outputs
(*.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 n i) (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64)))
#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 (fma.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (neg.f64 n)) i)
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
#s(literal 1 binary64)
(/.f64 i n)
i
n

localize104.0ms (0.8%)

Memory
36.4MiB live, 153.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
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)))
accuracy84.3%
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
accuracy79.3%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
accuracy29.1%
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
Samples
56.0ms146×1valid
28.0ms72×2valid
3.0ms35×0valid
3.0ms3valid
Compiler

Compiled 58 to 12 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-pow: 45.0ms (59.9% of total)
ival-sub: 9.0ms (12% of total)
adjust: 8.0ms (10.6% of total)
ival-div: 8.0ms (10.6% of total)
ival-add: 3.0ms (4% of total)
ival-mult: 3.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory
-5.6MiB live, 31.1MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))>
#<alt (*.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)))>
#<alt (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))>
#<alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)>
Outputs
#<alt n>
#<alt (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)>
#<alt (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i)>
#<alt (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)>
#<alt (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)>
#<alt (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)>
#<alt (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))>
#<alt (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i))) i))>
#<alt (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) i)) (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i))>
#<alt (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)>
#<alt (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))>
#<alt (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))>
#<alt (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))>
#<alt (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))>
#<alt (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))>
#<alt (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))>
#<alt (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))>
#<alt (* 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 i>
#<alt (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))>
#<alt (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))>
#<alt (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)>
#<alt (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)>
#<alt (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)>
#<alt (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1)>
#<alt (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)>
#<alt (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) 1)>
#<alt (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) 1)>
#<alt (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) 1)>
#<alt (* n (+ (log i) (* -1 (log n))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))>
#<alt (- (exp i) 1)>
#<alt (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)>
#<alt (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)>
#<alt (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)>
#<alt (- (exp i) 1)>
#<alt (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)>
#<alt (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)>
#<alt (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)>
#<alt 1>
#<alt (+ 1 i)>
#<alt (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))>
#<alt (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))>
#<alt (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))>
#<alt 1>
#<alt (+ 1 (* n (+ (log i) (* -1 (log n)))))>
#<alt (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))>
#<alt (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))>
#<alt (exp i)>
#<alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))>
#<alt (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))>
#<alt (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))>
#<alt (exp i)>
#<alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))>
#<alt (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))>
#<alt (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))>
Calls

24 calls:

TimeVariablePointExpression
5.0ms
i
@inf
(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
3.0ms
n
@0
(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
2.0ms
i
@-inf
(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
2.0ms
n
@inf
(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
1.0ms
i
@0
(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))

rewrite439.0ms (3.3%)

Memory
-39.4MiB live, 418.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 646×lower-fma.f64
4 646×lower-fma.f32
3 878×lower-*.f32
3 876×lower-*.f64
3 404×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01044
01644
17344
257044
3735444
0866938
Stop Event
iter limit
node limit
iter limit
Counts
4 → 498
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
Outputs
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 (neg.f64 n) i))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (*.f64 (/.f64 n i) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 1 binary64)))
(+.f64 (/.f64 (neg.f64 n) i) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i))
(+.f64 (*.f64 (/.f64 n i) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i))
(exp.f64 (*.f64 (log.f64 (/.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 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 n i)))
(-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n))))) (/.f64 i n)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n))))) (/.f64 i n)))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (/.f64 i n)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (/.f64 i n)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 i (neg.f64 n))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 n i)))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n))))) n)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n))))) n)))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (/.f64 (fma.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n)))
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n) (*.f64 i (/.f64 i (*.f64 n n)))) (/.f64 (/.f64 i n) (*.f64 i (/.f64 i (*.f64 n n)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i)))) (fma.f64 (/.f64 n i) (*.f64 (/.f64 n i) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (/.f64 (/.f64 (*.f64 n n) i) i)))) (/.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i))) (fma.f64 (/.f64 n i) (*.f64 (/.f64 n i) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (/.f64 (/.f64 (*.f64 n n) i) i)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (/.f64 (/.f64 (*.f64 n n) i) i)) (*.f64 (/.f64 n i) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (/.f64 (/.f64 (/.f64 (*.f64 n n) i) i) (*.f64 (/.f64 n i) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 (neg.f64 n) i))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (*.f64 (/.f64 n i) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 n) i) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i))
(fma.f64 n (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 (neg.f64 n) i))
(fma.f64 n (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 (/.f64 n i) #s(literal -1 binary64)))
(fma.f64 n (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 1 binary64)))
(fma.f64 n (/.f64 #s(literal -1 binary64) i) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i) (/.f64 (neg.f64 n) i))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i) (*.f64 (/.f64 n i) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 1 binary64)))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) i) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i))
(fma.f64 (neg.f64 n) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)) (/.f64 (neg.f64 n) i))
(fma.f64 (neg.f64 n) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)) (*.f64 (/.f64 n i) #s(literal -1 binary64)))
(fma.f64 (neg.f64 n) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 1 binary64) (/.f64 (neg.f64 n) i))
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 1 binary64)))
(fma.f64 (/.f64 n i) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (neg.f64 n) i))
(fma.f64 (/.f64 n i) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 n i) #s(literal -1 binary64)))
(fma.f64 (/.f64 n i) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 1 binary64)))
(fma.f64 (/.f64 n i) #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i))
(fma.f64 #s(literal -1 binary64) (/.f64 n i) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (/.f64 n i)) (/.f64 (neg.f64 n) i))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (/.f64 n i)) (*.f64 (/.f64 n i) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (/.f64 n i)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 (neg.f64 n) i) (/.f64 (neg.f64 n) i))
(fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 (neg.f64 n) i) (*.f64 (/.f64 n i) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 (neg.f64 n) i) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 1 binary64)))
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(exp.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
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(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n)))) (*.f64 n #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)) (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))))
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(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal 1/2 binary64))
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(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n))) (*.f64 n #s(literal 1/2 binary64)))
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(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
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(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/4 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/4 binary64))))

simplify398.0ms (3%)

Memory
15.4MiB live, 460.9MiB allocated
Algorithm
egg-herbie
Rules
11 188×lower-fma.f64
11 188×lower-fma.f32
6 726×lower-*.f64
6 726×lower-*.f32
3 544×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05153831
116243489
255233268
081372980
Stop Event
iter limit
node limit
Counts
96 → 94
Calls
Call 1
Inputs
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i))) i))
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) i)) (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i))
(/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))
(/ (* n (- (exp i) 1)) i)
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))
(/ (* n (- (exp i) 1)) i)
(* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))
(* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))
(* 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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(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i))
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1)
(- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) 1)
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) 1)
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) 1)
(* n (+ (log i) (* -1 (log n))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))
(- (exp i) 1)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)
(- (exp i) 1)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
1
(+ 1 i)
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))
1
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
Outputs
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n)
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 (*.f64 n i) (fma.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))) n)
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 i (fma.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (*.f64 n i) (fma.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) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) n)
(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)
(*.f64 (fma.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n) #s(literal -1 binary64)) (/.f64 n 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)
(/.f64 (*.f64 n (fma.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) (/.f64 (*.f64 n n) i) (fma.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n) #s(literal -1 binary64)))) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
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(/ (+ (* 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)
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(/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)
(*.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n) #s(literal -1 binary64)) (/.f64 n 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))
(/.f64 (*.f64 n (fma.f64 (*.f64 n n) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n)) i) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n) #s(literal -1 binary64)))) 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))
(/.f64 (fma.f64 n (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 n (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n))) (fma.f64 n n (/.f64 (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) i))) i)) i)
(* -1 (/ (+ (* -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))
(/.f64 (fma.f64 n (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n) #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 n (*.f64 n n)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n))) (/.f64 (*.f64 (*.f64 n (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n))) (+.f64 (neg.f64 (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/6 binary64)))) i))) i)) i)) i)
(/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)
(*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n 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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(* (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))))
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(* (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))))
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(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))
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(-.f64 (exp.f64 i) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/2 binary64) (*.f64 i i) (/.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (neg.f64 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 i (*.f64 i (exp.f64 i)))) (/.f64 (*.f64 (exp.f64 i) (+.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (/.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64) (fma.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))))) (neg.f64 n)))) n)) n))

eval79.0ms (0.6%)

Memory
1.1MiB live, 153.0MiB allocated
Compiler

Compiled 18 492 to 2 040 computations (89% saved)

prune98.0ms (0.7%)

Memory
20.5MiB live, 215.0MiB allocated
Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New56923592
Fresh000
Picked011
Done000
Total56924593
Accuracy
99.9%
Counts
593 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.9%
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
66.7%
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
26.7%
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
26.7%
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
55.7%
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
27.1%
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
66.6%
(*.f64 n (fma.f64 (/.f64 (*.f64 i (exp.f64 i)) n) #s(literal -50 binary64) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))))
51.3%
(*.f64 n #s(literal 100 binary64))
20.5%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)))
19.9%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
20.5%
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
52.0%
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.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))) n))
36.6%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (fma.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) (/.f64 i n)))
40.4%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
9.9%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
9.6%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
27.2%
(*.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)))
20.3%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
13.4%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
66.8%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
74.1%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
57.4%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
26.8%
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i)))
14.2%
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
Compiler

Compiled 833 to 542 computations (34.9% saved)

simplify496.0ms (3.8%)

Memory
-8.8MiB live, 623.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)
cost-diff0
(/.f64 #s(literal -1 binary64) i)
cost-diff128
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
cost-diff896
(fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i))
cost-diff0
(/.f64 i n)
cost-diff0
(expm1.f64 i)
cost-diff0
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
cost-diff384
(/.f64 (expm1.f64 i) (/.f64 i n))
cost-diff0
(*.f64 n i)
cost-diff0
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.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))) n))
cost-diff512
(fma.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)))
cost-diff832
(fma.f64 (*.f64 n i) (fma.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))) n)
cost-diff0
(*.f64 n #s(literal 100 binary64))
cost-diff0
(*.f64 n (log1p.f64 (/.f64 i n)))
cost-diff128
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
cost-diff384
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
cost-diff6272
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
Rules
18 926×lower-fma.f32
18 920×lower-fma.f64
4 614×lower-*.f32
4 598×lower-*.f64
3 112×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037262
070252
1144252
2379252
31236252
45002252
08399243
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
#s(literal 100 binary64)
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(*.f64 n (log1p.f64 (/.f64 i n)))
n
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
(*.f64 n #s(literal 100 binary64))
n
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.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))) n))
#s(literal 100 binary64)
(fma.f64 (*.f64 n i) (fma.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))) n)
(*.f64 n i)
n
i
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(+.f64 (/.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 1/3 binary64) (*.f64 n n))
#s(literal 1/3 binary64)
(*.f64 n n)
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))
#s(literal 1/6 binary64)
(/.f64 #s(literal -1/2 binary64) n)
#s(literal -1/2 binary64)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
#s(literal 100 binary64)
(/.f64 (expm1.f64 i) (/.f64 i n))
(expm1.f64 i)
i
(/.f64 i n)
n
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
#s(literal 100 binary64)
(fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i))
(/.f64 #s(literal -1 binary64) i)
#s(literal -1 binary64)
i
n
(/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
#s(literal 1 binary64)
(/.f64 i n)
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(*.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 binary64)) (/.f64 n i))
#s(literal 100 binary64)
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
(/.f64 (fma.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 n)) i)
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(*.f64 n (log1p.f64 (/.f64 i n)))
n
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
(*.f64 n #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) n)
n
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.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))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i (fma.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64))) n))
#s(literal 100 binary64)
(fma.f64 (*.f64 n i) (fma.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))) n)
(fma.f64 i (fma.f64 i (fma.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64))) n)
(*.f64 n i)
n
i
(fma.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)))
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)))
(+.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 #s(literal -1/2 binary64) n) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 n n))))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
#s(literal 1/3 binary64)
(*.f64 n n)
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))
#s(literal 1/6 binary64)
(/.f64 #s(literal -1/2 binary64) n)
#s(literal -1/2 binary64)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
#s(literal 100 binary64)
(/.f64 (expm1.f64 i) (/.f64 i n))
(*.f64 n (/.f64 (expm1.f64 i) i))
(expm1.f64 i)
i
(/.f64 i n)
n
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
(*.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 binary64)) (/.f64 n i))
#s(literal 100 binary64)
(fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i))
(/.f64 (fma.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 n)) i)
(/.f64 #s(literal -1 binary64) i)
#s(literal -1 binary64)
i
n
(/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n)
(*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+.f64 (/.f64 i n) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 i n)

localize278.0ms (2.1%)

Memory
-6.6MiB live, 367.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)
accuracy99.9%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
accuracy79.3%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
accuracy38.1%
(fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i))
accuracy100.0%
(/.f64 i n)
accuracy100.0%
(expm1.f64 i)
accuracy99.9%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
accuracy79.2%
(/.f64 (expm1.f64 i) (/.f64 i n))
accuracy99.9%
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.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))) n))
accuracy99.4%
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
accuracy93.1%
(fma.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)))
accuracy91.0%
(fma.f64 (*.f64 n i) (fma.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))) n)
accuracy100.0%
(*.f64 n #s(literal 100 binary64))
accuracy99.9%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
accuracy90.2%
(log1p.f64 (/.f64 i n))
accuracy84.3%
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
accuracy84.1%
(*.f64 n (log1p.f64 (/.f64 i n)))
Samples
175.0ms172×1valid
25.0ms20×2valid
15.0ms50×0valid
5.0ms5exit
4.0ms12×0invalid
Compiler

Compiled 293 to 42 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 185.0ms
ival-mult: 64.0ms (34.6% of total)
ival-pow: 40.0ms (21.6% of total)
ival-div: 23.0ms (12.4% of total)
adjust: 18.0ms (9.7% of total)
const: 15.0ms (8.1% of total)
ival-add: 11.0ms (6% of total)
ival-expm1: 7.0ms (3.8% of total)
ival-log1p: 5.0ms (2.7% of total)
ival-sub: 2.0ms (1.1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series47.0ms (0.4%)

Memory
-13.1MiB live, 67.5MiB allocated
Counts
20 → 432
Calls
Call 1
Inputs
#<alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))>
#<alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))>
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#<alt (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.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))) n))>
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#<alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n))>
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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))))))>
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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 i>
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#<alt (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)>
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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)))) 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 (/ (* (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))))>
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#<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)))>
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#<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>
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#<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 (* 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))>
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#<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 (* n (+ (log i) (* -1 (log n))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (/ n i))))>
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#<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>
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#<alt i>
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#<alt (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))>
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#<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)))))>
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#<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 (* 100 n)>
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#<alt (* 1/3 (/ (pow i 2) n))>
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#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (- (/ (exp i) i) (/ 1 i))) (+ (* 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 (+ (* -1 (/ (exp i) i)) (/ 1 i))))>
#<alt (* -1 (* n (+ (* 50 (/ (* i (exp i)) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))>
#<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 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))>
#<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 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))>
#<alt (/ -1 i)>
#<alt (/ -1 i)>
#<alt (/ -1 i)>
#<alt (/ -1 i)>
#<alt (/ -1 i)>
#<alt (/ -1 i)>
#<alt (/ -1 i)>
#<alt (/ -1 i)>
#<alt (/ -1 i)>
#<alt (/ -1 i)>
#<alt (/ -1 i)>
#<alt (/ -1 i)>
#<alt (/ n i)>
#<alt (/ (+ n (* i n)) i)>
#<alt (/ (+ n (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))) i)>
#<alt (/ (+ n (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i)>
#<alt (/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)>
#<alt (/ (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (/ (* (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))))))) (+ (/ (* 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))))))) (+ (/ (* 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))))))) i)>
#<alt (* -1 (/ (+ (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -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 (/ (+ (* (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 (* 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 (/ n i)>
#<alt (* n (+ (* n (+ (* -1 (/ (log n) i)) (/ (log i) i))) (/ 1 i)))>
#<alt (* n (+ (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i)))) (/ 1 i)))>
#<alt (* n (+ (* n (+ (* -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)))) (/ 1 i)))>
#<alt (/ (* n (exp i)) i)>
#<alt (* n (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) 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))))))>
#<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)))))))>
#<alt (/ (* n (exp i)) i)>
#<alt (* -1 (* n (+ (* -1 (/ (exp i) i)) (* 1/2 (/ (* i (exp i)) n)))))>
#<alt (* -1 (* n (+ (* -1 (/ (exp i) i)) (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)))))>
#<alt (* -1 (* n (+ (* -1 (/ (exp i) i)) (* -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)))))>
#<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 (/ 1/3 (pow n 2))>
#<alt (/ 1/3 (pow n 2))>
#<alt (/ 1/3 (pow n 2))>
#<alt (/ 1/3 (pow n 2))>
#<alt (/ 1/3 (pow n 2))>
#<alt (/ 1/3 (pow n 2))>
#<alt (/ 1/3 (pow n 2))>
#<alt (/ 1/3 (pow n 2))>
#<alt (/ 1/3 (pow n 2))>
#<alt (/ 1/3 (pow n 2))>
#<alt (/ 1/3 (pow n 2))>
#<alt (/ 1/3 (pow n 2))>
#<alt 1>
#<alt (+ 1 i)>
#<alt (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))>
#<alt (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))>
#<alt (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))>
#<alt 1>
#<alt (+ 1 (* n (+ (log i) (* -1 (log n)))))>
#<alt (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))>
#<alt (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))>
#<alt (exp i)>
#<alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))>
#<alt (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))>
#<alt (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))>
#<alt (exp i)>
#<alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))>
#<alt (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))>
#<alt (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))>
Calls

108 calls:

TimeVariablePointExpression
5.0ms
i
@inf
(+ (* (* n i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) n)
5.0ms
n
@0
(/ (* (pow (+ 1 (/ i n)) n) n) i)
2.0ms
n
@inf
(+ (* (* n i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) n)
1.0ms
i
@-inf
(/ (- (exp i) 1) (/ i n))
1.0ms
n
@0
(+ (* (* n i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) n)

rewrite376.0ms (2.9%)

Memory
21.8MiB live, 333.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 916×lower-/.f32
4 900×lower-/.f64
4 010×lower-*.f32
3 992×lower-*.f64
3 648×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037192
070192
1308192
22822192
08584187
Stop Event
iter limit
node limit
iter limit
Counts
20 → 822
Calls
Call 1
Inputs
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(*.f64 n (log1p.f64 (/.f64 i n)))
(*.f64 n #s(literal 100 binary64))
(fma.f64 (*.f64 n i) (fma.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))) n)
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.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))) n))
(*.f64 n i)
(/.f64 (expm1.f64 i) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
(expm1.f64 i)
(/.f64 i n)
(fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
(/.f64 #s(literal -1 binary64) i)
(/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)
(log1p.f64 (/.f64 i n))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
Outputs
(+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))
(-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))))
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(expm1.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 (/.f64 i n) #s(literal 1 binary64)))) (*.f64 n #s(literal 1/2 binary64))))
(expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(expm1.f64 (fma.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)) (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 n (/.f64 (log1p.f64 (/.f64 i n)) #s(literal 2 binary64)))) (exp.f64 (*.f64 n (/.f64 (log1p.f64 (/.f64 i n)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))) n) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) n) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) #s(literal -1 binary64))
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(-.f64 (log1p.f64 (neg.f64 (/.f64 (*.f64 i i) (*.f64 n n)))) (log1p.f64 (/.f64 (neg.f64 i) n)))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))))) (log.f64 (neg.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)))))
(-.f64 (log.f64 (-.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1 binary64))) (log.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))))))
(log1p.f64 (/.f64 i n))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 n n) #s(literal 3 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 n n)))
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(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 (*.f64 n n))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 3 binary64)) #s(literal 1 binary64))))
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(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 n n) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 n n) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1/3 binary64) n)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 n n) #s(literal 3 binary64)))))
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(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (neg.f64 (*.f64 n n)))))
(/.f64 (/.f64 #s(literal 1/3 binary64) n) n)
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) n)) (neg.f64 n))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) n))) (neg.f64 (neg.f64 n)))
(pow.f64 (*.f64 (*.f64 n n) #s(literal 3 binary64)) #s(literal -1 binary64))
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(pow.f64 (/.f64 n (/.f64 #s(literal 1/3 binary64) n)) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n n)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 n n))))
(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1 binary64) n))
(exp.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 (/.f64 i n) #s(literal 1 binary64)))) (*.f64 n #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)) (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))))
(/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n))))) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 (-.f64 (*.f64 (/.f64 i n) i) i) n))))
(/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (neg.f64 (/.f64 (*.f64 i i) (*.f64 n n))))) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 (neg.f64 i) n))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 (*.f64 n #s(literal 1/2 binary64)) #s(literal 2 binary64)))
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(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))

simplify487.0ms (3.7%)

Memory
4.7MiB live, 609.9MiB allocated
Algorithm
egg-herbie
Rules
9 534×lower-fma.f64
9 534×lower-fma.f32
7 686×lower-+.f64
7 686×lower-+.f32
5 534×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103510130
132949396
081078659
Stop Event
iter limit
node limit
Counts
432 → 424
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)
(/ (* (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))))))
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i))) i))
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) i)) (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i))
(* 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))
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1
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Outputs
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1
#s(literal 1 binary64)
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(+.f64 i #s(literal 1 binary64))
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(fma.f64 i (fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
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(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
(exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))
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(exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 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))
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(+ (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 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (neg.f64 (*.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 n n (/.f64 (fma.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)))
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1
#s(literal 1 binary64)
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(fma.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)))))))
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(exp i)
(exp.f64 i)
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(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
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(-.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) (exp.f64 i)) (/.f64 (fma.f64 (exp.f64 i) (fma.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)) (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)))) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (fma.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))))) (neg.f64 n))) (neg.f64 n))) n))

eval197.0ms (1.5%)

Memory
-7.5MiB live, 384.7MiB allocated
Compiler

Compiled 38 454 to 4 275 computations (88.9% saved)

prune215.0ms (1.6%)

Memory
-31.1MiB live, 385.6MiB allocated
Pruning

47 alts after pruning (44 fresh and 3 done)

PrunedKeptTotal
New1 379381 417
Fresh12618
Picked235
Done101
Total1 394471 441
Accuracy
100.0%
Counts
1 441 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.9%
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
19.8%
(fma.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) i))
20.3%
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
20.0%
(fma.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 #s(literal 1 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
52.0%
(fma.f64 n #s(literal 100 binary64) (*.f64 (fma.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 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 (*.f64 n i) #s(literal 100 binary64))))
59.1%
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
57.4%
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
49.4%
(/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)
37.1%
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
67.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) #s(literal 1/100 binary64)))
20.6%
(/.f64 #s(literal 0 binary64) i)
26.7%
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
26.7%
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
20.5%
(*.f64 (fma.f64 n (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 n (neg.f64 i))) #s(literal 100 binary64))
27.1%
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
6.5%
(*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))
72.0%
(*.f64 (/.f64 (expm1.f64 i) i) (/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n)))
72.2%
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))
72.2%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)
55.1%
(*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 n i))
55.1%
(*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
57.3%
(*.f64 n (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n))) #s(literal 100 binary64)))
56.1%
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
51.3%
(*.f64 n #s(literal 100 binary64))
20.5%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 n (neg.f64 i))))
13.5%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 n i)))
19.9%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 n (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i)))))
45.3%
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) (*.f64 n n)) n))
59.5%
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 n #s(literal 1/2 binary64))) n))
57.8%
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
56.1%
(*.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 n i) n))
12.9%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
14.0%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (*.f64 i i)))
49.1%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i))
44.8%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i) (/.f64 i n)))
43.2%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i #s(literal 1/2 binary64)) i) (/.f64 i n)))
27.1%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) i))
14.2%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)) i))
13.4%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
74.1%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
71.0%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 #s(literal 1 binary64) (/.f64 n i))))
74.0%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) i)))
43.0%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (exp.f64 (*.f64 (log.f64 (/.f64 n i)) #s(literal -1 binary64)))))
57.4%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
55.6%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 #s(literal 1 binary64) (/.f64 n i))))
26.8%
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i)))
55.2%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 n i) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 i)) #s(literal -1 binary64))))
Compiler

Compiled 1 466 to 970 computations (33.8% saved)

simplify334.0ms (2.5%)

Memory
22.3MiB live, 174.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
cost-diff128
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
cost-diff320
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n)))
cost-diff640
(/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i))
cost-diff0
(*.f64 n #s(literal 100 binary64))
cost-diff0
(expm1.f64 i)
cost-diff0
(/.f64 (expm1.f64 i) i)
cost-diff0
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))
cost-diff0
(fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))
cost-diff0
(*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))
cost-diff320
(fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64)))
cost-diff320
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
cost-diff0
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
cost-diff0
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
cost-diff128
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) i)))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) n) i)
cost-diff384
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) i))
cost-diff6272
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
Rules
8 090×lower-fma.f32
8 080×lower-fma.f64
3 338×lower-*.f32
3 316×lower-*.f64
2 676×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035235
071221
1145212
2327207
3868207
42394206
54514206
67340206
08371203
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) i)))
#s(literal 100 binary64)
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) i))
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(*.f64 n (log1p.f64 (/.f64 i n)))
n
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
(*.f64 (/.f64 #s(literal 1 binary64) n) i)
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
n
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
#s(literal 50 binary64)
i
#s(literal 100 binary64)
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
i
(fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64)))
(*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))
n
(fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))
#s(literal 25/6 binary64)
#s(literal 50/3 binary64)
(*.f64 n #s(literal 50 binary64))
#s(literal 50 binary64)
(*.f64 n #s(literal 100 binary64))
#s(literal 100 binary64)
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
i
(*.f64 n #s(literal 100 binary64))
n
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
#s(literal 100 binary64)
(/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i))
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n)))
(*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
n
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(/.f64 i n)
i
#s(literal 1 binary64)
(*.f64 i (neg.f64 n))
(neg.f64 n)
(*.f64 i i)
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) i)))
(*.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 binary64)) (/.f64 n i))
#s(literal 100 binary64)
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) i))
(/.f64 (fma.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 n)) i)
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))
(*.f64 n (log1p.f64 (/.f64 i n)))
n
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
(*.f64 (/.f64 #s(literal 1 binary64) n) i)
(/.f64 i n)
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
n
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
(fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64))
#s(literal 50 binary64)
i
#s(literal 100 binary64)
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
i
(fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64)))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
n
(fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
#s(literal 25/6 binary64)
#s(literal 50/3 binary64)
(*.f64 n #s(literal 50 binary64))
#s(literal 50 binary64)
(*.f64 n #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) n)
#s(literal 100 binary64)
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
i
(*.f64 n #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) n)
n
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 binary64)) (/.f64 n i))
#s(literal 100 binary64)
(/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i))
(/.f64 (fma.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 n)) i)
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n)))
(*.f64 n (fma.f64 i (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 i)))
(*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
n
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(/.f64 i n)
i
#s(literal 1 binary64)
(*.f64 i (neg.f64 n))
(*.f64 n (neg.f64 i))
(neg.f64 n)
(*.f64 i i)

localize275.0ms (2.1%)

Memory
-2.8MiB live, 196.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
accuracy79.3%
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
accuracy63.7%
(/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i))
accuracy40.7%
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n)))
accuracy100.0%
(*.f64 n #s(literal 100 binary64))
accuracy100.0%
(expm1.f64 i)
accuracy100.0%
(/.f64 (expm1.f64 i) i)
accuracy99.9%
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))
accuracy99.9%
(fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64)))
accuracy99.7%
(fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))
accuracy99.5%
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
accuracy99.5%
(*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))
accuracy100.0%
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
accuracy99.9%
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) n) i)
accuracy90.2%
(log1p.f64 (/.f64 i n))
accuracy84.7%
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) i))
accuracy84.5%
(*.f64 n (log1p.f64 (/.f64 i n)))
Samples
112.0ms164×1valid
71.0ms51×2valid
14.0ms5exit
7.0ms23×0valid
4.0ms12×0invalid
Compiler

Compiled 271 to 42 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 169.0ms
ival-pow: 46.0ms (27.3% of total)
ival-mult: 36.0ms (21.4% of total)
adjust: 28.0ms (16.6% of total)
ival-div: 21.0ms (12.5% of total)
ival-add: 12.0ms (7.1% of total)
const: 9.0ms (5.3% of total)
ival-expm1: 7.0ms (4.2% of total)
ival-log1p: 5.0ms (3% of total)
ival-neg: 3.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory
12.6MiB live, 12.6MiB allocated
Counts
21 → 444
Calls
Call 1
Inputs
#<alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))>
#<alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) i))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) n) i)>
#<alt (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) i)))>
#<alt (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))>
#<alt (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))>
#<alt (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))>
#<alt (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64)))>
#<alt (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))>
#<alt (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))>
#<alt (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))>
#<alt (/.f64 (expm1.f64 i) i)>
#<alt (expm1.f64 i)>
#<alt (*.f64 n #s(literal 100 binary64))>
#<alt (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i))>
#<alt (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n)))>
#<alt (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))>
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#<alt (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))>
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#<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)>
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#<alt (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))>
#<alt (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* 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)))>
#<alt (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* 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))))>
#<alt (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))>
#<alt (+ (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))>
#<alt (+ (* -1 (/ (+ (* -1 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)) (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))>
#<alt (+ (* -1 (/ (+ (* -1 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* 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)) (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) i))) i)) (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))>
#<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 (/ 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>
#<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

111 calls:

TimeVariablePointExpression
2.0ms
i
@-inf
(* n (+ (* 50 i) 100))
1.0ms
n
@inf
(+ (* i (+ (* i (* n (+ (* 25/6 i) 50/3))) (* n 50))) (* n 100))
1.0ms
n
@0
(+ (* i (+ (* i (* n (+ (* 25/6 i) 50/3))) (* n 50))) (* n 100))
1.0ms
n
@-inf
(+ (* i (+ (* i (* n (+ (* 25/6 i) 50/3))) (* n 50))) (* n 100))
1.0ms
n
@-inf
(/ (+ (* (* n (pow (+ (/ i n) 1) n)) i) (* i (neg n))) (* i i))

rewrite394.0ms (3%)

Memory
-6.5MiB live, 149.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 116×lower-*.f32
5 092×lower-*.f64
4 800×lower-/.f32
4 790×lower-/.f64
3 996×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035185
071179
1295176
22208176
08734173
Stop Event
iter limit
node limit
iter limit
Counts
21 → 796
Calls
Call 1
Inputs
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) i))
(*.f64 (/.f64 #s(literal 1 binary64) n) i)
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) i)))
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64)))
(*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))
(fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
(*.f64 n #s(literal 100 binary64))
(/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i))
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(*.f64 n (log1p.f64 (/.f64 i n)))
(log1p.f64 (/.f64 i n))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
Outputs
(+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))))
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(expm1.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 (/.f64 i n) #s(literal 1 binary64)))) (*.f64 n #s(literal 1/2 binary64))))
(expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(expm1.f64 (fma.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)) (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 n (/.f64 (log1p.f64 (/.f64 i n)) #s(literal 2 binary64)))) (exp.f64 (*.f64 n (/.f64 (log1p.f64 (/.f64 i n)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))) n) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64))) n) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)) n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 i n) #s(literal -1 binary64))) n) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) n) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 i n) #s(literal -1 binary64))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) #s(literal -1 binary64))
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(-.f64 (log.f64 (neg.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)))) (log.f64 (neg.f64 (+.f64 (/.f64 i n) #s(literal -1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)))))
(neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))))))
(neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 i n) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))))))
(log1p.f64 (/.f64 i n))
(exp.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 (/.f64 i n) #s(literal 1 binary64)))) (*.f64 n #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)) (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))))
(/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n))))) (pow.f64 (exp.f64 n) (log.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n))))))
(/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n))))) (pow.f64 (exp.f64 n) (log1p.f64 (*.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64))))))
(/.f64 (pow.f64 (exp.f64 n) (log.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)))) (pow.f64 (exp.f64 n) (log.f64 (+.f64 (/.f64 i n) #s(literal -1 binary64)))))
(/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (neg.f64 (/.f64 (*.f64 i i) (*.f64 n n))))) (pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i (neg.f64 n)))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 (*.f64 n #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))
(pow.f64 (exp.f64 n) (+.f64 (/.f64 (log1p.f64 (/.f64 i n)) #s(literal 2 binary64)) (/.f64 (log1p.f64 (/.f64 i n)) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 (/.f64 i n) #s(literal 1 binary64))) (*.f64 n #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (+.f64 n n)) (/.f64 (log1p.f64 (/.f64 i n)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 n (/.f64 (log1p.f64 (/.f64 i n)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (exp.f64 (*.f64 n (/.f64 (log1p.f64 (/.f64 i n)) #s(literal 2 binary64)))) (exp.f64 (*.f64 n (/.f64 (log1p.f64 (/.f64 i n)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))) n))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64))) n))
(*.f64 (pow.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)) n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 i n) #s(literal -1 binary64))) n))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) n))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 i n) #s(literal -1 binary64))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))

simplify395.0ms (3%)

Memory
14.1MiB live, 457.8MiB allocated
Algorithm
egg-herbie
Rules
11 006×lower-fma.f64
11 006×lower-fma.f32
7 102×lower-*.f64
7 102×lower-*.f32
5 096×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108410127
136049256
084288458
Stop Event
iter limit
node limit
Counts
444 → 436
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)
(/ (* (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))))))
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i))) i))
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) i)) (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i))
(/ 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))
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Outputs
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(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (/ n i))))
(fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 n (*.f64 i i)) (/.f64 #s(literal 1 binary64) i)) (-.f64 (log.f64 i) (log.f64 n)))
(+ (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)))))
(+.f64 (-.f64 (log.f64 i) (log.f64 n)) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 n (*.f64 i i)) (/.f64 #s(literal 1 binary64) i)) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 n n)) n) (*.f64 i (*.f64 i i)))))
(+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))
(-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))
(+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (/ n i)))
(+.f64 (neg.f64 (log.f64 (neg.f64 n))) (-.f64 (/.f64 n i) (log.f64 (/.f64 #s(literal -1 binary64) i))))
(+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (* -1 (/ (+ (* -1 n) (* 1/2 (/ (pow n 2) i))) i))))
(-.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 n n) i) (neg.f64 n)) i))
(+ (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))))
(-.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) (/.f64 (-.f64 (neg.f64 n) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 n (*.f64 n n)) i) (*.f64 n (*.f64 n #s(literal -1/2 binary64)))) i)) i))
(+ (log i) (* -1 (log n)))
(-.f64 (log.f64 i) (log.f64 n))
(+ (log i) (+ (* -1 (log n)) (/ n i)))
(+.f64 (log.f64 i) (-.f64 (/.f64 n i) (log.f64 n)))
(+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i)))))
(fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 n (*.f64 i i)) (/.f64 #s(literal 1 binary64) i)) (-.f64 (log.f64 i) (log.f64 n)))
(+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))
(fma.f64 n (fma.f64 n (fma.f64 #s(literal 1/3 binary64) (/.f64 n (*.f64 i (*.f64 i i))) (/.f64 #s(literal -1/2 binary64) (*.f64 i i))) (/.f64 #s(literal 1 binary64) i)) (-.f64 (log.f64 i) (log.f64 n)))
(/ i n)
(/.f64 i n)
(/ (+ i (* -1/2 (/ (pow i 2) n))) n)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n) i) n)
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)
(/.f64 (fma.f64 i (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) #s(literal 1 binary64)) (/.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 (fma.f64 i (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.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))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 i i) n) (neg.f64 i)) n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i (*.f64 i i)) n) (*.f64 (*.f64 i i) #s(literal -1/2 binary64))) (neg.f64 n)) i) (neg.f64 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 (neg.f64 i) (/.f64 (fma.f64 i (*.f64 i #s(literal -1/2 binary64)) (/.f64 (fma.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)) (neg.f64 n))) n)) (neg.f64 n))
1
#s(literal 1 binary64)
(+ 1 i)
(+.f64 i #s(literal 1 binary64))
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 i (fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
(fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))
(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))
(fma.f64 n (*.f64 n (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i)) (exp.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)))
(fma.f64 n (*.f64 n (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i)) (fma.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (fma.f64 n (*.f64 n (*.f64 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))))))
(+ (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))))
(fma.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (/.f64 (fma.f64 n (*.f64 n (*.f64 n #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.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)))) (fma.f64 n (*.f64 n (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))))
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
(exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 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))
(fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) i) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) 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 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (neg.f64 (*.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 n n (/.f64 (fma.f64 n (*.f64 n (*.f64 n #s(literal -1/2 binary64))) (*.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 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (neg.f64 (fma.f64 n (*.f64 n (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (fma.f64 (fma.f64 n (*.f64 n (*.f64 n #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (*.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64)))) i)))) i))) i))
1
#s(literal 1 binary64)
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(fma.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)))))))
(fma.f64 n (fma.f64 n (fma.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))) #s(literal 1 binary64))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
(fma.f64 n (fma.f64 n (fma.f64 n (+.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 #s(literal -1/2 binary64) (*.f64 i i))) (fma.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))) #s(literal 1 binary64))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(fma.f64 (*.f64 i i) (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (exp.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))))
(fma.f64 (exp.f64 i) (/.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)))) (*.f64 n n)) (fma.f64 (*.f64 i i) (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (exp.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)))))
(fma.f64 (exp.f64 i) (+.f64 (/.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)))) (*.f64 n n)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (fma.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (*.f64 n (*.f64 n n)))) (fma.f64 (*.f64 i i) (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (exp.f64 i)))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(fma.f64 (*.f64 i i) (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (exp.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)))
(-.f64 (exp.f64 i) (/.f64 (fma.f64 (neg.f64 (exp.f64 i)) (/.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)))) n) (*.f64 #s(literal 1/2 binary64) (*.f64 i (*.f64 i (exp.f64 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)))
(-.f64 (exp.f64 i) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i (*.f64 i (exp.f64 i)))) (/.f64 (fma.f64 (exp.f64 i) (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)))) (/.f64 (*.f64 (neg.f64 (exp.f64 i)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (fma.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))

eval154.0ms (1.2%)

Memory
17.0MiB live, 243.7MiB allocated
Compiler

Compiled 33 635 to 3 973 computations (88.2% saved)

prune179.0ms (1.4%)

Memory
-43.6MiB live, 324.0MiB allocated
Pruning

52 alts after pruning (48 fresh and 4 done)

PrunedKeptTotal
New1 224221 246
Fresh132639
Picked325
Done123
Total1 241521 293
Accuracy
100.0%
Counts
1 293 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.9%
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
19.8%
(fma.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) i))
20.3%
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
59.5%
(fma.f64 (*.f64 n i) (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64))))
56.1%
(fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 n #s(literal 100 binary64)))
56.1%
(fma.f64 (*.f64 i #s(literal 50 binary64)) n (*.f64 n #s(literal 100 binary64)))
20.0%
(fma.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 #s(literal 1 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
55.7%
(fma.f64 n #s(literal 100 binary64) (*.f64 i (*.f64 n #s(literal 50 binary64))))
59.1%
(fma.f64 i (fma.f64 i (fma.f64 (*.f64 n #s(literal 25/6 binary64)) i (*.f64 n #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
36.3%
(fma.f64 i (/.f64 (*.f64 (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (fma.f64 (*.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) n (*.f64 #s(literal -50 binary64) n))) (fma.f64 (*.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) n (*.f64 #s(literal -50 binary64) n))) (*.f64 n #s(literal 100 binary64)))
59.1%
(fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
37.1%
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
49.4%
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) i) #s(literal 0 binary64)) i)
58.3%
(/.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal 2500 binary64) #s(literal -10000 binary64)) n) (fma.f64 i #s(literal 50 binary64) #s(literal -100 binary64)))
38.3%
(/.f64 (*.f64 (fma.f64 i (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64))) (fma.f64 i (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n))) (fma.f64 i (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n)))
67.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) #s(literal 1/100 binary64)))
20.6%
(/.f64 #s(literal 0 binary64) i)
26.7%
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
26.7%
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
20.5%
(*.f64 (fma.f64 n (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 n (neg.f64 i))) #s(literal 100 binary64))
27.1%
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
66.8%
(*.f64 (/.f64 (*.f64 (expm1.f64 i) n) i) #s(literal 100 binary64))
59.8%
(*.f64 (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) i) (*.f64 n #s(literal 100 binary64)))
6.5%
(*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))
72.2%
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
15.8%
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 n #s(literal 25/6 binary64) (/.f64 (*.f64 n #s(literal 50/3 binary64)) i)))
59.5%
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
56.1%
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
11.3%
(*.f64 n (*.f64 i #s(literal 50 binary64)))
51.3%
(*.f64 n #s(literal 100 binary64))
38.7%
(*.f64 i (fma.f64 #s(literal 100 binary64) (/.f64 n i) (*.f64 n #s(literal 50 binary64))))
15.1%
(*.f64 i (*.f64 i (*.f64 (*.f64 n i) #s(literal 25/6 binary64))))
20.5%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 n (neg.f64 i))))
13.5%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 n i)))
19.9%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 n (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i)))))
55.5%
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n))
59.5%
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 n #s(literal 1/2 binary64))) n))
57.8%
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
15.5%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(literal 1 binary64)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
14.0%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 n (*.f64 i (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (*.f64 i i)))
49.1%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i))
44.8%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i) (/.f64 i n)))
43.2%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i #s(literal 1/2 binary64)) i) (/.f64 i n)))
27.1%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) i))
14.2%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)) i))
12.0%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (fma.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n i) #s(literal 0 binary64))) (*.f64 i i)))
13.4%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
74.1%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
71.0%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 #s(literal 1 binary64) (/.f64 n i))))
74.0%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) i)))
43.0%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (exp.f64 (*.f64 (log.f64 (/.f64 n i)) #s(literal -1 binary64)))))
26.8%
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i)))
Compiler

Compiled 1 693 to 1 069 computations (36.9% saved)

simplify265.0ms (2%)

Memory
30.0MiB live, 348.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) i)
cost-diff0
(neg.f64 i)
cost-diff0
(/.f64 n (neg.f64 i))
cost-diff1152
(fma.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) i))
cost-diff0
(*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))
cost-diff0
(fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64)))
cost-diff0
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
cost-diff320
(fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
cost-diff0
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
cost-diff0
(fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))
cost-diff0
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
cost-diff320
(fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
cost-diff0
(*.f64 i #s(literal 50 binary64))
cost-diff0
(*.f64 n (*.f64 i #s(literal 50 binary64)))
cost-diff0
(expm1.f64 i)
cost-diff0
(/.f64 (expm1.f64 i) i)
cost-diff0
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
cost-diff0
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
Rules
10 064×lower-fma.f32
10 046×lower-fma.f64
4 126×lower-*.f32
4 102×lower-*.f64
2 088×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041273
081273
1176273
2436269
31331268
43578268
54476268
65310268
76235268
87288268
08242258
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
i
#s(literal 100 binary64)
n
(*.f64 n (*.f64 i #s(literal 50 binary64)))
n
(*.f64 i #s(literal 50 binary64))
i
#s(literal 50 binary64)
(fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
i
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
n
(fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
#s(literal 25/6 binary64)
#s(literal 50/3 binary64)
#s(literal 50 binary64)
(*.f64 n #s(literal 100 binary64))
#s(literal 100 binary64)
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
(fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64)))
n
(*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))
#s(literal 100 binary64)
(fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
i
(fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 (*.f64 i i) #s(literal 100/3 binary64))
(*.f64 i i)
#s(literal 100/3 binary64)
(fma.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) i))
(/.f64 n (neg.f64 i))
n
(neg.f64 i)
i
#s(literal 100 binary64)
(/.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) i)
(*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64))
(*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(/.f64 i n)
#s(literal 1 binary64)
Outputs
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (expm1.f64 i) n) i))
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
i
#s(literal 100 binary64)
n
(*.f64 n (*.f64 i #s(literal 50 binary64)))
n
(*.f64 i #s(literal 50 binary64))
i
#s(literal 50 binary64)
(fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
i
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
n
(fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
#s(literal 25/6 binary64)
#s(literal 50/3 binary64)
#s(literal 50 binary64)
(*.f64 n #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) n)
#s(literal 100 binary64)
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
(/.f64 (fma.f64 i (*.f64 i #s(literal 100/3 binary64)) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i #s(literal -1/2 binary64) (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) n)))) n)
(fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64)))
(fma.f64 i (*.f64 i #s(literal 100/3 binary64)) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i #s(literal -1/2 binary64) (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) n))))
n
(*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i #s(literal -1/2 binary64) (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) n))
#s(literal 100 binary64)
(fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(fma.f64 i (fma.f64 i #s(literal -1/2 binary64) (fma.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) n)
(fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
i
(fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 (*.f64 i i) #s(literal 100/3 binary64))
(*.f64 i (*.f64 i #s(literal 100/3 binary64)))
(*.f64 i i)
#s(literal 100/3 binary64)
(fma.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) i))
(/.f64 (*.f64 n (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64))) i)
(/.f64 n (neg.f64 i))
n
(neg.f64 i)
i
#s(literal 100 binary64)
(/.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) i)
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64))
(*.f64 (*.f64 #s(literal 100 binary64) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
(*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(/.f64 i n)
#s(literal 1 binary64)

localize251.0ms (1.9%)

Memory
-6.1MiB live, 195.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64))
accuracy99.8%
(/.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) i)
accuracy79.3%
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
accuracy37.5%
(fma.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) i))
accuracy99.6%
(*.f64 (*.f64 i i) #s(literal 100/3 binary64))
accuracy95.5%
(fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64)))
accuracy90.8%
(fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
accuracy73.9%
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
accuracy99.9%
(fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))
accuracy99.7%
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
accuracy99.5%
(fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
accuracy97.4%
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
accuracy100.0%
(*.f64 i #s(literal 50 binary64))
accuracy99.7%
(*.f64 n (*.f64 i #s(literal 50 binary64)))
accuracy100.0%
(expm1.f64 i)
accuracy100.0%
(/.f64 (expm1.f64 i) i)
accuracy99.9%
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
accuracy99.9%
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
Samples
138.0ms176×1valid
23.0ms23×2valid
19.0ms57×0valid
Compiler

Compiled 315 to 52 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 144.0ms
ival-mult: 39.0ms (27.1% of total)
ival-pow: 36.0ms (25% of total)
ival-add: 18.0ms (12.5% of total)
const: 16.0ms (11.1% of total)
adjust: 16.0ms (11.1% of total)
ival-div: 14.0ms (9.7% of total)
ival-expm1: 3.0ms (2.1% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series35.0ms (0.3%)

Memory
-14.1MiB live, 21.0MiB allocated
Counts
21 → 408
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)>
#<alt (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))>
#<alt (/.f64 (expm1.f64 i) i)>
#<alt (expm1.f64 i)>
#<alt (*.f64 n (*.f64 i #s(literal 50 binary64)))>
#<alt (*.f64 i #s(literal 50 binary64))>
#<alt (fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))>
#<alt (*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))>
#<alt (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))>
#<alt (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))>
#<alt (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))>
#<alt (/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)>
#<alt (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64)))>
#<alt (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))>
#<alt (fma.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) i))>
#<alt (/.f64 n (neg.f64 i))>
#<alt (neg.f64 i)>
#<alt (/.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) i)>
#<alt (*.f64 (*.f64 i i) #s(literal 100/3 binary64))>
#<alt (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)>
#<alt (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64))>
Outputs
#<alt (* 100 n)>
#<alt (+ (* 50 (* i n)) (* 100 n))>
#<alt (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))>
#<alt (+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt 100>
#<alt (+ 100 (* 50 i))>
#<alt (+ 100 (* i (+ 50 (* 50/3 i))))>
#<alt (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt 1>
#<alt (+ 1 (* 1/2 i))>
#<alt (+ 1 (* i (+ 1/2 (* 1/6 i))))>
#<alt (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))>
#<alt (/ (- (exp i) 1) i)>
#<alt (/ (- (exp i) 1) i)>
#<alt (/ (- (exp i) 1) i)>
#<alt (/ (- (exp i) 1) i)>
#<alt (/ (- (exp i) 1) i)>
#<alt (/ (- (exp i) 1) i)>
#<alt (/ (- (exp i) 1) i)>
#<alt (/ (- (exp i) 1) i)>
#<alt i>
#<alt (* i (+ 1 (* 1/2 i)))>
#<alt (* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))>
#<alt (* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (* 50 (* i n))>
#<alt (* 50 (* i n))>
#<alt (* 50 (* i n))>
#<alt (* 50 (* i n))>
#<alt (* 50 (* i n))>
#<alt (* 50 (* i n))>
#<alt (* 50 (* i n))>
#<alt (* 50 (* i n))>
#<alt (* 50 (* i n))>
#<alt (* 50 (* i n))>
#<alt (* 50 (* i n))>
#<alt (* 50 (* i n))>
#<alt (* 50 (* i n))>
#<alt (* 50 (* i n))>
#<alt (* 50 (* i n))>
#<alt (* 50 (* i n))>
#<alt (* 50 (* i n))>
#<alt (* 50 (* i n))>
#<alt (* 50 (* i n))>
#<alt (* 50 (* i n))>
#<alt (* 50 (* i n))>
#<alt (* 50 (* i n))>
#<alt (* 50 (* i n))>
#<alt (* 50 (* i n))>
#<alt (* 50 i)>
#<alt (* 50 i)>
#<alt (* 50 i)>
#<alt (* 50 i)>
#<alt (* 50 i)>
#<alt (* 50 i)>
#<alt (* 50 i)>
#<alt (* 50 i)>
#<alt (* 50 i)>
#<alt (* 50 i)>
#<alt (* 50 i)>
#<alt (* 50 i)>
#<alt (* 100 n)>
#<alt (+ (* 50 (* i n)) (* 100 n))>
#<alt (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))>
#<alt (+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))>
#<alt (* 25/6 (* (pow i 3) n))>
#<alt (* (pow i 3) (+ (* 25/6 n) (* 50/3 (/ n i))))>
#<alt (* (pow i 3) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (* 50 (/ n (pow i 2))))))>
#<alt (* (pow i 3) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (+ (* 50 (/ n (pow i 2))) (* 100 (/ n (pow i 3)))))))>
#<alt (* 25/6 (* (pow i 3) n))>
#<alt (* -1 (* (pow i 3) (+ (* -50/3 (/ n i)) (* -25/6 n))))>
#<alt (* -1 (* (pow i 3) (+ (* -25/6 n) (* -1 (/ (+ (* 50/3 n) (* 50 (/ n i))) i)))))>
#<alt (* -1 (* (pow i 3) (+ (* -25/6 n) (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ n i)) (* -50 n)) i)) (* 50/3 n)) i)))))>
#<alt (* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))>
#<alt (* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))>
#<alt (* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))>
#<alt (* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))>
#<alt (* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))>
#<alt (* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))>
#<alt (* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))>
#<alt (* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))>
#<alt (* -1 (* n (- (* -1 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))) 100)))>
#<alt (* -1 (* n (- (* -1 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))) 100)))>
#<alt (* -1 (* n (- (* -1 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))) 100)))>
#<alt (* -1 (* n (- (* -1 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))) 100)))>
#<alt (* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))>
#<alt (* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))>
#<alt (* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))>
#<alt (* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))>
#<alt (* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))>
#<alt (* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))>
#<alt (* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))>
#<alt (* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))>
#<alt (* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))>
#<alt (* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))>
#<alt (* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))>
#<alt (* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))>
#<alt (* 50 n)>
#<alt (+ (* 50/3 (* i n)) (* 50 n))>
#<alt (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))>
#<alt (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))>
#<alt (* 25/6 (* (pow i 2) n))>
#<alt (* (pow i 2) (+ (* 25/6 n) (* 50/3 (/ n i))))>
#<alt (* (pow i 2) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (* 50 (/ n (pow i 2))))))>
#<alt (* (pow i 2) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (* 50 (/ n (pow i 2))))))>
#<alt (* 25/6 (* (pow i 2) n))>
#<alt (* (pow i 2) (+ (* 25/6 n) (* 50/3 (/ n i))))>
#<alt (* (pow i 2) (+ (* -1 (/ (+ (* -50 (/ n i)) (* -50/3 n)) i)) (* 25/6 n)))>
#<alt (* (pow i 2) (+ (* -1 (/ (+ (* -50 (/ n i)) (* -50/3 n)) i)) (* 25/6 n)))>
#<alt 50>
#<alt (+ 50 (* 50/3 i))>
#<alt (+ 50 (* i (+ 50/3 (* 25/6 i))))>
#<alt (+ 50 (* i (+ 50/3 (* 25/6 i))))>
#<alt (* 25/6 (pow i 2))>
#<alt (* (pow i 2) (+ 25/6 (* 50/3 (/ 1 i))))>
#<alt (* (pow i 2) (+ 25/6 (+ (* 50/3 (/ 1 i)) (/ 50 (pow i 2)))))>
#<alt (* (pow i 2) (+ 25/6 (+ (* 50/3 (/ 1 i)) (/ 50 (pow i 2)))))>
#<alt (* 25/6 (pow i 2))>
#<alt (* (pow i 2) (+ 25/6 (* 50/3 (/ 1 i))))>
#<alt (* (pow i 2) (+ 25/6 (+ (* 50/3 (/ 1 i)) (/ 50 (pow i 2)))))>
#<alt (* (pow i 2) (+ 25/6 (+ (* 50/3 (/ 1 i)) (/ 50 (pow i 2)))))>
#<alt 50/3>
#<alt (+ 50/3 (* 25/6 i))>
#<alt (+ 50/3 (* 25/6 i))>
#<alt (+ 50/3 (* 25/6 i))>
#<alt (* 25/6 i)>
#<alt (* i (+ 25/6 (* 50/3 (/ 1 i))))>
#<alt (* i (+ 25/6 (* 50/3 (/ 1 i))))>
#<alt (* i (+ 25/6 (* 50/3 (/ 1 i))))>
#<alt (* 25/6 i)>
#<alt (* i (+ 25/6 (* 50/3 (/ 1 i))))>
#<alt (* i (+ 25/6 (* 50/3 (/ 1 i))))>
#<alt (* i (+ 25/6 (* 50/3 (/ 1 i))))>
#<alt (* i (- (* -1/2 i) 1/2))>
#<alt (+ (* i (- (* -1/2 i) 1/2)) (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))>
#<alt (+ (* i (- (* -1/2 i) 1/2)) (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))>
#<alt (+ (* i (- (* -1/2 i) 1/2)) (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))>
#<alt (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))>
#<alt (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))>
#<alt (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))>
#<alt (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))>
#<alt (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))>
#<alt (* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)))))>
#<alt (* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)))))>
#<alt (* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)))))>
#<alt n>
#<alt (+ n (* i (- (* 1/2 n) 1/2)))>
#<alt (+ n (* i (- (+ (* 1/2 n) (* i (- (* 1/6 n) 1/2))) 1/2)))>
#<alt (+ n (* i (- (+ (* 1/2 n) (* i (- (* 1/6 n) 1/2))) 1/2)))>
#<alt (* (pow i 2) (- (* 1/6 n) 1/2))>
#<alt (* (pow i 2) (- (+ (* 1/6 n) (* 1/2 (/ n i))) (+ 1/2 (* 1/2 (/ 1 i)))))>
#<alt (* (pow i 2) (- (+ (* 1/6 n) (+ (* 1/2 (/ n i)) (/ n (pow i 2)))) (+ 1/2 (* 1/2 (/ 1 i)))))>
#<alt (* (pow i 2) (- (+ (* 1/6 n) (+ (* 1/2 (/ n i)) (/ n (pow i 2)))) (+ 1/2 (* 1/2 (/ 1 i)))))>
#<alt (* (pow i 2) (- (* 1/6 n) 1/2))>
#<alt (* (pow i 2) (- (+ (* -1 (/ (+ 1/2 (* -1/2 n)) i)) (* 1/6 n)) 1/2))>
#<alt (* (pow i 2) (- (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ n i)) (* -1/2 n))) i)) (* 1/6 n)) 1/2))>
#<alt (* (pow i 2) (- (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ n i)) (* -1/2 n))) i)) (* 1/6 n)) 1/2))>
#<alt (* 100/3 (/ (pow i 2) n))>
#<alt (/ (+ (* 100/3 (pow i 2)) (* 100 (* i (* n (- (* -1/2 i) 1/2))))) n)>
#<alt (/ (+ (* 100/3 (pow i 2)) (* n (+ (* 100 (* i (- (* -1/2 i) 1/2))) (* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))))) n)>
#<alt (/ (+ (* 100/3 (pow i 2)) (* n (+ (* 100 (* i (- (* -1/2 i) 1/2))) (* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))))) n)>
#<alt (* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))>
#<alt (* n (+ (* 100 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* 100 (/ (* i (- (* -1/2 i) 1/2)) n))))>
#<alt (* n (+ (* 100/3 (/ (pow i 2) (pow n 2))) (+ (* 100 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* 100 (/ (* i (- (* -1/2 i) 1/2)) n)))))>
#<alt (* n (+ (* 100/3 (/ (pow i 2) (pow n 2))) (+ (* 100 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* 100 (/ (* i (- (* -1/2 i) 1/2)) n)))))>
#<alt (* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))>
#<alt (* -1 (* n (+ (* -100 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -100 (/ (* i (- (* -1/2 i) 1/2)) n)))))>
#<alt (* -1 (* n (+ (* -100 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (+ (* 100/3 (/ (pow i 2) n)) (* 100 (* i (- (* -1/2 i) 1/2)))) n)))))>
#<alt (* -1 (* n (+ (* -100 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (+ (* 100/3 (/ (pow i 2) n)) (* 100 (* i (- (* -1/2 i) 1/2)))) n)))))>
#<alt (* 100 n)>
#<alt (+ (* 100 n) (* 100 (* i (- (* 1/2 n) 1/2))))>
#<alt (+ (* 100 n) (* i (+ (* 100 (- (* 1/2 n) 1/2)) (* i (+ (* 100 (- (* 1/6 n) 1/2)) (* 100/3 (/ 1 n)))))))>
#<alt (+ (* 100 n) (* i (+ (* 100 (- (* 1/2 n) 1/2)) (* i (+ (* 100 (- (* 1/6 n) 1/2)) (* 100/3 (/ 1 n)))))))>
#<alt (/ (* (pow i 2) (+ 100/3 (* 100 (* n (- (* 1/6 n) 1/2))))) n)>
#<alt (* (pow i 2) (+ (* 100 (- (* 1/6 n) 1/2)) (+ (* 100 (/ (- (* 1/2 n) 1/2) i)) (* 100/3 (/ 1 n)))))>
#<alt (* (pow i 2) (+ (* 100 (- (* 1/6 n) 1/2)) (+ (* 100 (/ n (pow i 2))) (+ (* 100 (/ (- (* 1/2 n) 1/2) i)) (* 100/3 (/ 1 n))))))>
#<alt (* (pow i 2) (+ (* 100 (- (* 1/6 n) 1/2)) (+ (* 100 (/ n (pow i 2))) (+ (* 100 (/ (- (* 1/2 n) 1/2) i)) (* 100/3 (/ 1 n))))))>
#<alt (/ (* (pow i 2) (+ 100/3 (* 100 (* n (- (* 1/6 n) 1/2))))) n)>
#<alt (* (pow i 2) (+ (* -100 (/ (+ 1/2 (* -1/2 n)) i)) (+ (* 100 (- (* 1/6 n) 1/2)) (* 100/3 (/ 1 n)))))>
#<alt (* (pow i 2) (+ (* -1 (/ (+ (* -100 (/ n i)) (* 100 (+ 1/2 (* -1/2 n)))) i)) (+ (* 100 (- (* 1/6 n) 1/2)) (* 100/3 (/ 1 n)))))>
#<alt (* (pow i 2) (+ (* -1 (/ (+ (* -100 (/ n i)) (* 100 (+ 1/2 (* -1/2 n)))) i)) (+ (* 100 (- (* 1/6 n) 1/2)) (* 100/3 (/ 1 n)))))>
#<alt (* 100/3 (pow i 2))>
#<alt (+ (* 100/3 (pow i 2)) (* 100 (* i (* n (- (* -1/2 i) 1/2)))))>
#<alt (+ (* 100/3 (pow i 2)) (* n (+ (* 100 (* i (- (* -1/2 i) 1/2))) (* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))))>
#<alt (+ (* 100/3 (pow i 2)) (* n (+ (* 100 (* i (- (* -1/2 i) 1/2))) (* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))))>
#<alt (* 100 (* (pow n 2) (+ 1 (* i (+ 1/2 (* 1/6 i))))))>
#<alt (* (pow n 2) (+ (* 100 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* 100 (/ (* i (- (* -1/2 i) 1/2)) n))))>
#<alt (* (pow n 2) (+ (* 100/3 (/ (pow i 2) (pow n 2))) (+ (* 100 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* 100 (/ (* i (- (* -1/2 i) 1/2)) n)))))>
#<alt (* (pow n 2) (+ (* 100/3 (/ (pow i 2) (pow n 2))) (+ (* 100 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* 100 (/ (* i (- (* -1/2 i) 1/2)) n)))))>
#<alt (* 100 (* (pow n 2) (+ 1 (* i (+ 1/2 (* 1/6 i))))))>
#<alt (* (pow n 2) (+ (* 100 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* 100 (/ (* i (- (* -1/2 i) 1/2)) n))))>
#<alt (* (pow n 2) (+ (* -1 (/ (+ (* -100 (* i (- (* -1/2 i) 1/2))) (* -100/3 (/ (pow i 2) n))) n)) (* 100 (+ 1 (* i (+ 1/2 (* 1/6 i)))))))>
#<alt (* (pow n 2) (+ (* -1 (/ (+ (* -100 (* i (- (* -1/2 i) 1/2))) (* -100/3 (/ (pow i 2) n))) n)) (* 100 (+ 1 (* i (+ 1/2 (* 1/6 i)))))))>
#<alt (* 100 (pow n 2))>
#<alt (+ (* 100 (* i (* n (- (* 1/2 n) 1/2)))) (* 100 (pow n 2)))>
#<alt (+ (* 100 (pow n 2)) (* i (+ (* 100 (* n (- (* 1/2 n) 1/2))) (* i (+ 100/3 (* 100 (* n (- (* 1/6 n) 1/2))))))))>
#<alt (+ (* 100 (pow n 2)) (* i (+ (* 100 (* n (- (* 1/2 n) 1/2))) (* i (+ 100/3 (* 100 (* n (- (* 1/6 n) 1/2))))))))>
#<alt (* (pow i 2) (+ 100/3 (* 100 (* n (- (* 1/6 n) 1/2)))))>
#<alt (* (pow i 2) (+ 100/3 (+ (* 100 (* n (- (* 1/6 n) 1/2))) (* 100 (/ (* n (- (* 1/2 n) 1/2)) i)))))>
#<alt (* (pow i 2) (+ 100/3 (+ (* 100 (* n (- (* 1/6 n) 1/2))) (+ (* 100 (/ (* n (- (* 1/2 n) 1/2)) i)) (* 100 (/ (pow n 2) (pow i 2)))))))>
#<alt (* (pow i 2) (+ 100/3 (+ (* 100 (* n (- (* 1/6 n) 1/2))) (+ (* 100 (/ (* n (- (* 1/2 n) 1/2)) i)) (* 100 (/ (pow n 2) (pow i 2)))))))>
#<alt (* (pow i 2) (+ 100/3 (* 100 (* n (- (* 1/6 n) 1/2)))))>
#<alt (* (pow i 2) (+ 100/3 (+ (* -100 (/ (* n (+ 1/2 (* -1/2 n))) i)) (* 100 (* n (- (* 1/6 n) 1/2))))))>
#<alt (* (pow i 2) (+ 100/3 (+ (* -1 (/ (+ (* -100 (/ (pow n 2) i)) (* 100 (* n (+ 1/2 (* -1/2 n))))) i)) (* 100 (* n (- (* 1/6 n) 1/2))))))>
#<alt (* (pow i 2) (+ 100/3 (+ (* -1 (/ (+ (* -100 (/ (pow n 2) i)) (* 100 (* n (+ 1/2 (* -1/2 n))))) i)) (* 100 (* n (- (* 1/6 n) 1/2))))))>
#<alt (* 100 (* i (- (* -1/2 i) 1/2)))>
#<alt (+ (* 100 (* i (- (* -1/2 i) 1/2))) (* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))>
#<alt (+ (* 100 (* i (- (* -1/2 i) 1/2))) (* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))>
#<alt (+ (* 100 (* i (- (* -1/2 i) 1/2))) (* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))>
#<alt (* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))>
#<alt (* n (+ (* 100 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* 100 (/ (* i (- (* -1/2 i) 1/2)) n))))>
#<alt (* n (+ (* 100 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* 100 (/ (* i (- (* -1/2 i) 1/2)) n))))>
#<alt (* n (+ (* 100 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* 100 (/ (* i (- (* -1/2 i) 1/2)) n))))>
#<alt (* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))>
#<alt (* -1 (* n (+ (* -100 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -100 (/ (* i (- (* -1/2 i) 1/2)) n)))))>
#<alt (* -1 (* n (+ (* -100 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -100 (/ (* i (- (* -1/2 i) 1/2)) n)))))>
#<alt (* -1 (* n (+ (* -100 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -100 (/ (* i (- (* -1/2 i) 1/2)) n)))))>
#<alt (* 100 n)>
#<alt (+ (* 100 n) (* 100 (* i (- (* 1/2 n) 1/2))))>
#<alt (+ (* 100 n) (* i (+ (* 100 (* i (- (* 1/6 n) 1/2))) (* 100 (- (* 1/2 n) 1/2)))))>
#<alt (+ (* 100 n) (* i (+ (* 100 (* i (- (* 1/6 n) 1/2))) (* 100 (- (* 1/2 n) 1/2)))))>
#<alt (* 100 (* (pow i 2) (- (* 1/6 n) 1/2)))>
#<alt (* (pow i 2) (+ (* 100 (- (* 1/6 n) 1/2)) (* 100 (/ (- (* 1/2 n) 1/2) i))))>
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#<alt (* 100 (* (pow i 2) (- (* 1/6 n) 1/2)))>
#<alt (* (pow i 2) (+ (* -100 (/ (+ 1/2 (* -1/2 n)) i)) (* 100 (- (* 1/6 n) 1/2))))>
#<alt (* (pow i 2) (+ (* -1 (/ (+ (* -100 (/ n i)) (* 100 (+ 1/2 (* -1/2 n)))) i)) (* 100 (- (* 1/6 n) 1/2))))>
#<alt (* (pow i 2) (+ (* -1 (/ (+ (* -100 (/ n i)) (* 100 (+ 1/2 (* -1/2 n)))) i)) (* 100 (- (* 1/6 n) 1/2))))>
#<alt (* 100 (* (pow n 2) (+ (* -1 (/ (log n) i)) (/ (log i) i))))>
#<alt (* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i)))))>
#<alt (* (pow n 2) (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) 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 (+ (* -1 (/ (log n) i)) (/ (log i) 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 (* n (- (* 100 (/ (exp i) i)) (* 100 (/ 1 i))))>
#<alt (* n (- (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (exp i) i))) (* 100 (/ 1 i))))>
#<alt (* n (- (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (* 100 (/ 1 i))))>
#<alt (* n (- (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (+ (* 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 (/ 1 i))))>
#<alt (* -1 (* n (+ (* -100 (/ (exp i) i)) (* 100 (/ 1 i)))))>
#<alt (* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* 50 (/ (* i (exp i)) n)) (* 100 (/ 1 i))))))>
#<alt (* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (/ 1 i))))))>
#<alt (* -1 (* n (+ (* -100 (/ (exp i) 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 (/ 1 i))))))>
#<alt (/ (+ (* -100 n) (* 100 n)) i)>
#<alt (/ (+ (* -100 n) (+ (* 100 n) (* 100 (* i n)))) i)>
#<alt (/ (+ (* -100 n) (+ (* 100 n) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i)>
#<alt (/ (+ (* -100 n) (+ (* 100 n) (* i (+ (* 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))))))))))) i)>
#<alt (/ (+ (* -100 n) (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) i)>
#<alt (/ (+ (* -100 n) (+ (* 100 (* n (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) (+ (* 100 (* n (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) (+ (* 100 (* n (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 (* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 n)) i))>
#<alt (* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (+ (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) (* 100 n))) 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)))))))) (* 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))) i))>
#<alt (* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (+ (* -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))) i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* 100 (/ n i))>
#<alt (* n (+ (* 100 (* n (+ (* -1 (/ (log n) i)) (/ (log i) i)))) (* 100 (/ 1 i))))>
#<alt (* n (+ (* n (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))))) (* 100 (/ 1 i))))>
#<alt (* n (+ (* n (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) 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)))))))) (* 100 (/ 1 i))))>
#<alt (* 100 (/ (* n (exp i)) i))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (exp i) i))))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (+ (* 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 (exp i)) i))>
#<alt (* -1 (* n (+ (* -100 (/ (exp i) i)) (* 50 (/ (* i (exp i)) n)))))>
#<alt (* -1 (* n (+ (* -100 (/ (exp i) 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) 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 i))>
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#<alt (/ (+ (* 100 n) (* i (+ (* 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)))))))))) i)>
#<alt (* 100 (/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))>
#<alt (/ (+ (* 100 (* n (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 (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 (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 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))>
#<alt (* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -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 (/ (+ (* 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 (/ (+ (* -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 (* 100/3 (pow i 2))>
#<alt (* 100/3 (pow i 2))>
#<alt (* 100/3 (pow i 2))>
#<alt (* 100/3 (pow i 2))>
#<alt (* 100/3 (pow i 2))>
#<alt (* 100/3 (pow i 2))>
#<alt (* 100/3 (pow i 2))>
#<alt (* 100/3 (pow i 2))>
#<alt (* 100/3 (pow i 2))>
#<alt (* 100/3 (pow i 2))>
#<alt (* 100/3 (pow i 2))>
#<alt (* 100/3 (pow i 2))>
#<alt 1>
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#<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)))))))>
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#<alt (exp i)>
#<alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))>
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#<alt (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))>
#<alt (exp i)>
#<alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))>
#<alt (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))>
#<alt (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))>
#<alt (* 100 n)>
#<alt (* n (+ 100 (* 100 (* n (+ (log i) (* -1 (log n)))))))>
#<alt (* n (+ 100 (* n (+ (* 100 (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))) (* 100 (+ (log i) (* -1 (log n))))))))>
#<alt (* n (+ 100 (* n (+ (* 100 (+ (log i) (* -1 (log n)))) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2)))))) (* 100 (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))))>
#<alt (* 100 (* n (exp i)))>
#<alt (* n (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (exp i))))>
#<alt (* n (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (exp i)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))>
#<alt (* n (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (exp i)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))>
#<alt (* 100 (* n (exp i)))>
#<alt (* -1 (* n (+ (* -100 (exp i)) (* 50 (/ (* (pow i 2) (exp i)) n)))))>
#<alt (* -1 (* n (+ (* -100 (exp i)) (* -1 (/ (+ (* -50 (* (pow i 2) (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n))) n)))))>
#<alt (* -1 (* n (+ (* -100 (exp i)) (* -1 (/ (+ (* -50 (* (pow i 2) (exp i))) (* -1 (/ (+ (* -100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n))) n))) n)))))>
#<alt (* 100 n)>
#<alt (+ (* 100 n) (* 100 (* i n)))>
#<alt (+ (* 100 n) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))>
#<alt (+ (* 100 n) (* i (+ (* 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 (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))>
#<alt (+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))>
#<alt (+ (* 100 (* n (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))))>
#<alt (+ (* 100 (* n (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)))))>
#<alt (* 100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))>
#<alt (+ (* 100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* (pow n 3) (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)))))))) (* -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 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))))>
#<alt (+ (* -1 (/ (+ (* -100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -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)) (* 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 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))))>
Calls

102 calls:

TimeVariablePointExpression
8.0ms
n
@inf
(pow (+ (/ i n) 1) n)
1.0ms
n
@-inf
(/ (+ (* n (* 100 (+ (* n (+ (* i (+ (* i 1/6) 1/2)) 1)) (* i (+ (* i -1/2) -1/2))))) (* (* i i) 100/3)) n)
1.0ms
n
@0
(+ (* n (+ (* i (+ (* i 1/6) 1/2)) 1)) (* i (+ (* i -1/2) -1/2)))
1.0ms
i
@inf
(/ (+ (* n (* 100 (+ (* n (+ (* i (+ (* i 1/6) 1/2)) 1)) (* i (+ (* i -1/2) -1/2))))) (* (* i i) 100/3)) n)
1.0ms
i
@-inf
(* (* n (pow (+ (/ i n) 1) n)) 100)

rewrite320.0ms (2.4%)

Memory
11.8MiB live, 292.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 814×lower-*.f32
5 790×lower-*.f64
4 304×lower-fma.f32
4 286×lower-fma.f64
4 008×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041205
081205
1346205
22759205
09185204
Stop Event
iter limit
node limit
iter limit
Counts
21 → 604
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
(*.f64 n (*.f64 i #s(literal 50 binary64)))
(*.f64 i #s(literal 50 binary64))
(fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
(fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
(fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) i))
(/.f64 n (neg.f64 i))
(neg.f64 i)
(/.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) i)
(*.f64 (*.f64 i i) #s(literal 100/3 binary64))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64))
Outputs
(/.f64 (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64))) i)
(/.f64 (*.f64 (expm1.f64 i) (*.f64 #s(literal 100 binary64) n)) i)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) n)) (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 i)) (*.f64 #s(literal 100 binary64) n)) (neg.f64 i))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i)
(*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 #s(literal 100 binary64) n)))
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) #s(literal 100 binary64))
(*.f64 (*.f64 n (/.f64 (expm1.f64 i) i)) #s(literal 100 binary64))
(/.f64 #s(literal 100 binary64) (/.f64 i (expm1.f64 i)))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))))
(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)
(/.f64 (neg.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64))) (neg.f64 i))
(/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 (expm1.f64 i))) (neg.f64 i))
(/.f64 (*.f64 (neg.f64 (expm1.f64 i)) #s(literal 100 binary64)) (neg.f64 i))
(pow.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))) #s(literal -1 binary64))
(*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)))
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
(*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) i))
(+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal -1 binary64) i))
(exp.f64 (*.f64 (log.f64 (/.f64 i (expm1.f64 i))) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i))
(fma.f64 (exp.f64 i) (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal -1 binary64) i))
(neg.f64 (/.f64 (expm1.f64 i) (neg.f64 i)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 i)) i))
(/.f64 (expm1.f64 i) i)
(/.f64 #s(literal 1 binary64) (/.f64 i (expm1.f64 i)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (expm1.f64 i)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (expm1.f64 i)) (neg.f64 i))
(/.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (*.f64 i (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (expm1.f64 i))))
(/.f64 (expm1.f64 (+.f64 i i)) (*.f64 i (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (-.f64 (*.f64 (exp.f64 i) i) (*.f64 i #s(literal 1 binary64))) (*.f64 i i))
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) i))
(/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i)) i))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 i))) i)
(/.f64 (-.f64 (/.f64 (exp.f64 (*.f64 i #s(literal 3 binary64))) (*.f64 i (*.f64 i i))) (/.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i i)))) (+.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1 binary64) i) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1 binary64) i))) (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i)))
(/.f64 (*.f64 (expm1.f64 i) #s(literal 1 binary64)) i)
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) i)) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (*.f64 (expm1.f64 (+.f64 i i)) (/.f64 #s(literal 1 binary64) i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))
(/.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) i)
(/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 i) (*.f64 (/.f64 i (exp.f64 i)) #s(literal 1 binary64))) (*.f64 (/.f64 i (exp.f64 i)) (neg.f64 i)))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 i) #s(literal 1 binary64)) (*.f64 (/.f64 i (exp.f64 i)) #s(literal 1 binary64))) (*.f64 (/.f64 i (exp.f64 i)) (/.f64 (neg.f64 i) #s(literal 1 binary64))))
(/.f64 (+.f64 i (*.f64 (/.f64 i (exp.f64 i)) #s(literal -1 binary64))) (*.f64 (/.f64 i (exp.f64 i)) i))
(/.f64 (fma.f64 (exp.f64 i) (neg.f64 i) (*.f64 i #s(literal 1 binary64))) (*.f64 i (neg.f64 i)))
(/.f64 (fma.f64 (exp.f64 i) (/.f64 (neg.f64 i) #s(literal 1 binary64)) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 (neg.f64 i) #s(literal 1 binary64))))
(/.f64 (fma.f64 (exp.f64 i) i (neg.f64 i)) (*.f64 i i))
(/.f64 (fma.f64 (neg.f64 (exp.f64 i)) (neg.f64 i) (*.f64 (neg.f64 i) #s(literal 1 binary64))) (*.f64 i i))
(/.f64 (fma.f64 (neg.f64 (exp.f64 i)) (/.f64 (neg.f64 i) #s(literal 1 binary64)) (*.f64 (neg.f64 i) #s(literal 1 binary64))) (*.f64 (neg.f64 i) (/.f64 (neg.f64 i) #s(literal 1 binary64))))
(/.f64 (fma.f64 (neg.f64 (exp.f64 i)) i (*.f64 (neg.f64 i) #s(literal -1 binary64))) (*.f64 (neg.f64 i) i))
(/.f64 (-.f64 i (*.f64 (/.f64 i (exp.f64 i)) #s(literal 1 binary64))) (*.f64 (/.f64 i (exp.f64 i)) i))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 i #s(literal 1 binary64))) (*.f64 (/.f64 i (exp.f64 i)) #s(literal 1 binary64))) (*.f64 (/.f64 i (exp.f64 i)) (/.f64 i #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 i)) (*.f64 (/.f64 i (exp.f64 i)) #s(literal -1 binary64))) (*.f64 (/.f64 i (exp.f64 i)) (neg.f64 i)))
(/.f64 (-.f64 (*.f64 (exp.f64 i) (/.f64 i #s(literal 1 binary64))) (*.f64 i #s(literal 1 binary64))) (*.f64 i (/.f64 i #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (exp.f64 i) (neg.f64 i)) (neg.f64 i)) (*.f64 i (neg.f64 i)))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 i)) i) (*.f64 (neg.f64 i) #s(literal 1 binary64))) (*.f64 (neg.f64 i) i))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 i)) (/.f64 i #s(literal 1 binary64))) (*.f64 (neg.f64 i) #s(literal 1 binary64))) (*.f64 (neg.f64 i) (/.f64 i #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 i)) (neg.f64 i)) (*.f64 (neg.f64 i) #s(literal -1 binary64))) (*.f64 i i))
(pow.f64 (/.f64 i (expm1.f64 i)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 i (expm1.f64 i)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (expm1.f64 i) (/.f64 #s(literal 1 binary64) i))
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 i) i))
(*.f64 (neg.f64 (expm1.f64 i)) (/.f64 #s(literal -1 binary64) i))
(*.f64 (/.f64 #s(literal 1 binary64) i) (expm1.f64 i))
(*.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 i)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 i (expm1.f64 (*.f64 i #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(*.f64 (pow.f64 (/.f64 i (expm1.f64 (+.f64 i i))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(+.f64 (exp.f64 i) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 i))
(-.f64 (exp.f64 i) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (*.f64 i #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(-.f64 (/.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(expm1.f64 i)
(fma.f64 #s(literal 1 binary64) (exp.f64 i) #s(literal -1 binary64))
(fma.f64 (exp.f64 i) #s(literal 1 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) (expm1.f64 (*.f64 i #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i)) (expm1.f64 (+.f64 i i))))
(/.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 i i)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 i) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))
(/.f64 (expm1.f64 (+.f64 i i)) (-.f64 (exp.f64 i) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 i i))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 i #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))) (*.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) (+.f64 #s(literal 1 binary64) (exp.f64 i))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) (expm1.f64 (*.f64 i #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i)) (expm1.f64 (+.f64 i i))) #s(literal -1 binary64))
(*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(*.f64 (expm1.f64 (+.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(*.f64 i (*.f64 n #s(literal 50 binary64)))
(*.f64 n (*.f64 i #s(literal 50 binary64)))
(*.f64 #s(literal 50 binary64) (*.f64 i n))
(*.f64 (*.f64 i #s(literal 50 binary64)) n)
(*.f64 (*.f64 n #s(literal 50 binary64)) i)
(*.f64 (*.f64 i n) #s(literal 50 binary64))
(*.f64 i #s(literal 50 binary64))
(*.f64 #s(literal 50 binary64) i)
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))))
(+.f64 (*.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))) (*.f64 #s(literal 100 binary64) n))
(-.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))) (*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))))) (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal -100 binary64) n))) (/.f64 (*.f64 #s(literal 10000 binary64) (*.f64 n n)) (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal -100 binary64) n))))
(fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))))
(fma.f64 n #s(literal 100 binary64) (*.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))))
(fma.f64 n (*.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) i) (*.f64 #s(literal 100 binary64) n))
(fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal 100 binary64) n))
(fma.f64 (*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))) i (*.f64 #s(literal 100 binary64) n))
(fma.f64 (*.f64 i n) (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 #s(literal 100 binary64) n))
(fma.f64 (*.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))) n (*.f64 #s(literal 100 binary64) n))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 (*.f64 #s(literal 100 binary64) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 1 binary64)) i)
(/.f64 (neg.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal -100 binary64))) i)
(/.f64 (/.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal -100 binary64)) #s(literal -1 binary64)) i)
(pow.f64 (/.f64 i (*.f64 (*.f64 #s(literal 100 binary64) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 i (*.f64 (*.f64 #s(literal 100 binary64) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 1 binary64) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i))
(*.f64 n (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 100 binary64) i)))
(*.f64 n (*.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 1 binary64) i)))
(*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 n (/.f64 #s(literal 100 binary64) i))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 n (/.f64 #s(literal 100 binary64) i)))
(*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i))
(*.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 1 binary64) i))
(*.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal -100 binary64)) (/.f64 #s(literal -1 binary64) i))
(*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 #s(literal 100 binary64) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 100 binary64) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
(*.f64 i (*.f64 i #s(literal 100/3 binary64)))
(*.f64 (*.f64 i i) #s(literal 100/3 binary64))
(*.f64 #s(literal 100/3 binary64) (*.f64 i i))
(*.f64 (*.f64 i #s(literal 100/3 binary64)) i)
(exp.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n)))) (*.f64 n #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)) (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 (*.f64 n #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n))) (*.f64 n #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 1 binary64)) n)
(pow.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n))) n) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))) n))
(*.f64 (pow.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)) n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 i n) #s(literal -1 binary64))) n))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 i n) #s(literal -1 binary64))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
(*.f64 n (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
(*.f64 (*.f64 #s(literal 100 binary64) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 #s(literal 100 binary64) n))
(*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 100 binary64))
(*.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) n)

simplify353.0ms (2.7%)

Memory
-12.6MiB live, 191.1MiB allocated
Algorithm
egg-herbie
Rules
12 396×lower-fma.f64
12 396×lower-fma.f32
7 788×lower-*.f64
7 788×lower-*.f32
5 424×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08077474
126497015
084736325
Stop Event
iter limit
node limit
Counts
408 → 406
Calls
Call 1
Inputs
(* 100 n)
(+ (* 50 (* i n)) (* 100 n))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
100
(+ 100 (* 50 i))
(+ 100 (* i (+ 50 (* 50/3 i))))
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))
(* 100 (/ (- (exp i) 1) i))
(* 100 (/ (- (exp i) 1) i))
(* 100 (/ (- (exp i) 1) i))
(* 100 (/ (- (exp i) 1) i))
(* 100 (/ (- (exp i) 1) i))
(* 100 (/ (- (exp i) 1) i))
(* 100 (/ (- (exp i) 1) i))
(* 100 (/ (- (exp i) 1) i))
1
(+ 1 (* 1/2 i))
(+ 1 (* i (+ 1/2 (* 1/6 i))))
(+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
i
(* i (+ 1 (* 1/2 i)))
(* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(* 50 (* i n))
(* 50 (* i n))
(* 50 (* i n))
(* 50 (* i n))
(* 50 (* i n))
(* 50 (* i n))
(* 50 (* i n))
(* 50 (* i n))
(* 50 (* i n))
(* 50 (* i n))
(* 50 (* i n))
(* 50 (* i n))
(* 50 (* i n))
(* 50 (* i n))
(* 50 (* i n))
(* 50 (* i n))
(* 50 (* i n))
(* 50 (* i n))
(* 50 (* i n))
(* 50 (* i n))
(* 50 (* i n))
(* 50 (* i n))
(* 50 (* i n))
(* 50 (* i n))
(* 50 i)
(* 50 i)
(* 50 i)
(* 50 i)
(* 50 i)
(* 50 i)
(* 50 i)
(* 50 i)
(* 50 i)
(* 50 i)
(* 50 i)
(* 50 i)
(* 100 n)
(+ (* 50 (* i n)) (* 100 n))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
(* 25/6 (* (pow i 3) n))
(* (pow i 3) (+ (* 25/6 n) (* 50/3 (/ n i))))
(* (pow i 3) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (* 50 (/ n (pow i 2))))))
(* (pow i 3) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (+ (* 50 (/ n (pow i 2))) (* 100 (/ n (pow i 3)))))))
(* 25/6 (* (pow i 3) n))
(* -1 (* (pow i 3) (+ (* -50/3 (/ n i)) (* -25/6 n))))
(* -1 (* (pow i 3) (+ (* -25/6 n) (* -1 (/ (+ (* 50/3 n) (* 50 (/ n i))) i)))))
(* -1 (* (pow i 3) (+ (* -25/6 n) (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ n i)) (* -50 n)) i)) (* 50/3 n)) i)))))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(* -1 (* n (- (* -1 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))) 100)))
(* -1 (* n (- (* -1 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))) 100)))
(* -1 (* n (- (* -1 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))) 100)))
(* -1 (* n (- (* -1 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))) 100)))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(* 50 n)
(+ (* 50/3 (* i n)) (* 50 n))
(+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))
(+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))
(* 25/6 (* (pow i 2) n))
(* (pow i 2) (+ (* 25/6 n) (* 50/3 (/ n i))))
(* (pow i 2) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (* 50 (/ n (pow i 2))))))
(* (pow i 2) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (* 50 (/ n (pow i 2))))))
(* 25/6 (* (pow i 2) n))
(* (pow i 2) (+ (* 25/6 n) (* 50/3 (/ n i))))
(* (pow i 2) (+ (* -1 (/ (+ (* -50 (/ n i)) (* -50/3 n)) i)) (* 25/6 n)))
(* (pow i 2) (+ (* -1 (/ (+ (* -50 (/ n i)) (* -50/3 n)) i)) (* 25/6 n)))
50
(+ 50 (* 50/3 i))
(+ 50 (* i (+ 50/3 (* 25/6 i))))
(+ 50 (* i (+ 50/3 (* 25/6 i))))
(* 25/6 (pow i 2))
(* (pow i 2) (+ 25/6 (* 50/3 (/ 1 i))))
(* (pow i 2) (+ 25/6 (+ (* 50/3 (/ 1 i)) (/ 50 (pow i 2)))))
(* (pow i 2) (+ 25/6 (+ (* 50/3 (/ 1 i)) (/ 50 (pow i 2)))))
(* 25/6 (pow i 2))
(* (pow i 2) (+ 25/6 (* 50/3 (/ 1 i))))
(* (pow i 2) (+ 25/6 (+ (* 50/3 (/ 1 i)) (/ 50 (pow i 2)))))
(* (pow i 2) (+ 25/6 (+ (* 50/3 (/ 1 i)) (/ 50 (pow i 2)))))
50/3
(+ 50/3 (* 25/6 i))
(+ 50/3 (* 25/6 i))
(+ 50/3 (* 25/6 i))
(* 25/6 i)
(* i (+ 25/6 (* 50/3 (/ 1 i))))
(* i (+ 25/6 (* 50/3 (/ 1 i))))
(* i (+ 25/6 (* 50/3 (/ 1 i))))
(* 25/6 i)
(* i (+ 25/6 (* 50/3 (/ 1 i))))
(* i (+ 25/6 (* 50/3 (/ 1 i))))
(* i (+ 25/6 (* 50/3 (/ 1 i))))
(* i (- (* -1/2 i) 1/2))
(+ (* i (- (* -1/2 i) 1/2)) (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))
(+ (* i (- (* -1/2 i) 1/2)) (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))
(+ (* i (- (* -1/2 i) 1/2)) (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))
(* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))
(* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))
(* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))
(* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))
(* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))
(* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)))))
(* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)))))
(* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)))))
n
(+ n (* i (- (* 1/2 n) 1/2)))
(+ n (* i (- (+ (* 1/2 n) (* i (- (* 1/6 n) 1/2))) 1/2)))
(+ n (* i (- (+ (* 1/2 n) (* i (- (* 1/6 n) 1/2))) 1/2)))
(* (pow i 2) (- (* 1/6 n) 1/2))
(* (pow i 2) (- (+ (* 1/6 n) (* 1/2 (/ n i))) (+ 1/2 (* 1/2 (/ 1 i)))))
(* (pow i 2) (- (+ (* 1/6 n) (+ (* 1/2 (/ n i)) (/ n (pow i 2)))) (+ 1/2 (* 1/2 (/ 1 i)))))
(* (pow i 2) (- (+ (* 1/6 n) (+ (* 1/2 (/ n i)) (/ n (pow i 2)))) (+ 1/2 (* 1/2 (/ 1 i)))))
(* (pow i 2) (- (* 1/6 n) 1/2))
(* (pow i 2) (- (+ (* -1 (/ (+ 1/2 (* -1/2 n)) i)) (* 1/6 n)) 1/2))
(* (pow i 2) (- (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ n i)) (* -1/2 n))) i)) (* 1/6 n)) 1/2))
(* (pow i 2) (- (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ n i)) (* -1/2 n))) i)) (* 1/6 n)) 1/2))
(* 100/3 (/ (pow i 2) n))
(/ (+ (* 100/3 (pow i 2)) (* 100 (* i (* n (- (* -1/2 i) 1/2))))) n)
(/ (+ (* 100/3 (pow i 2)) (* n (+ (* 100 (* i (- (* -1/2 i) 1/2))) (* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))))) n)
(/ (+ (* 100/3 (pow i 2)) (* n (+ (* 100 (* i (- (* -1/2 i) 1/2))) (* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))))) n)
(* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))
(* n (+ (* 100 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* 100 (/ (* i (- (* -1/2 i) 1/2)) n))))
(* n (+ (* 100/3 (/ (pow i 2) (pow n 2))) (+ (* 100 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* 100 (/ (* i (- (* -1/2 i) 1/2)) n)))))
(* n (+ (* 100/3 (/ (pow i 2) (pow n 2))) (+ (* 100 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* 100 (/ (* i (- (* -1/2 i) 1/2)) n)))))
(* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))
(* -1 (* n (+ (* -100 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -100 (/ (* i (- (* -1/2 i) 1/2)) n)))))
(* -1 (* n (+ (* -100 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (+ (* 100/3 (/ (pow i 2) n)) (* 100 (* i (- (* -1/2 i) 1/2)))) n)))))
(* -1 (* n (+ (* -100 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (+ (* 100/3 (/ (pow i 2) n)) (* 100 (* i (- (* -1/2 i) 1/2)))) n)))))
(* 100 n)
(+ (* 100 n) (* 100 (* i (- (* 1/2 n) 1/2))))
(+ (* 100 n) (* i (+ (* 100 (- (* 1/2 n) 1/2)) (* i (+ (* 100 (- (* 1/6 n) 1/2)) (* 100/3 (/ 1 n)))))))
(+ (* 100 n) (* i (+ (* 100 (- (* 1/2 n) 1/2)) (* i (+ (* 100 (- (* 1/6 n) 1/2)) (* 100/3 (/ 1 n)))))))
(/ (* (pow i 2) (+ 100/3 (* 100 (* n (- (* 1/6 n) 1/2))))) n)
(* (pow i 2) (+ (* 100 (- (* 1/6 n) 1/2)) (+ (* 100 (/ (- (* 1/2 n) 1/2) i)) (* 100/3 (/ 1 n)))))
(* (pow i 2) (+ (* 100 (- (* 1/6 n) 1/2)) (+ (* 100 (/ n (pow i 2))) (+ (* 100 (/ (- (* 1/2 n) 1/2) i)) (* 100/3 (/ 1 n))))))
(* (pow i 2) (+ (* 100 (- (* 1/6 n) 1/2)) (+ (* 100 (/ n (pow i 2))) (+ (* 100 (/ (- (* 1/2 n) 1/2) i)) (* 100/3 (/ 1 n))))))
(/ (* (pow i 2) (+ 100/3 (* 100 (* n (- (* 1/6 n) 1/2))))) n)
(* (pow i 2) (+ (* -100 (/ (+ 1/2 (* -1/2 n)) i)) (+ (* 100 (- (* 1/6 n) 1/2)) (* 100/3 (/ 1 n)))))
(* (pow i 2) (+ (* -1 (/ (+ (* -100 (/ n i)) (* 100 (+ 1/2 (* -1/2 n)))) i)) (+ (* 100 (- (* 1/6 n) 1/2)) (* 100/3 (/ 1 n)))))
(* (pow i 2) (+ (* -1 (/ (+ (* -100 (/ n i)) (* 100 (+ 1/2 (* -1/2 n)))) i)) (+ (* 100 (- (* 1/6 n) 1/2)) (* 100/3 (/ 1 n)))))
(* 100/3 (pow i 2))
(+ (* 100/3 (pow i 2)) (* 100 (* i (* n (- (* -1/2 i) 1/2)))))
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(* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))
(+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))
(+ (* 100 (* n (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))))
(+ (* 100 (* n (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)))))
(* 100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))
(+ (* 100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)))
(+ (* -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 (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)))))))) (* -1 (/ (+ (* -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)) (* 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 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))))
Outputs
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(+ (* 50 (* i n)) (* 100 n))
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
100
#s(literal 100 binary64)
(+ 100 (* 50 i))
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
(+ 100 (* i (+ 50 (* 50/3 i))))
(fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64))
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))
(fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))
(* 100 (/ (- (exp i) 1) i))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
(* 100 (/ (- (exp i) 1) i))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
(* 100 (/ (- (exp i) 1) i))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
(* 100 (/ (- (exp i) 1) i))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
(* 100 (/ (- (exp i) 1) i))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
(* 100 (/ (- (exp i) 1) i))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
(* 100 (/ (- (exp i) 1) i))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
(* 100 (/ (- (exp i) 1) i))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 i))
(fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* i (+ 1/2 (* 1/6 i))))
(fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))
(fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ (- (exp i) 1) i)
(/.f64 (expm1.f64 i) i)
(/ (- (exp i) 1) i)
(/.f64 (expm1.f64 i) i)
(/ (- (exp i) 1) i)
(/.f64 (expm1.f64 i) i)
(/ (- (exp i) 1) i)
(/.f64 (expm1.f64 i) i)
(/ (- (exp i) 1) i)
(/.f64 (expm1.f64 i) i)
(/ (- (exp i) 1) i)
(/.f64 (expm1.f64 i) i)
(/ (- (exp i) 1) i)
(/.f64 (expm1.f64 i) i)
(/ (- (exp i) 1) i)
(/.f64 (expm1.f64 i) i)
i
(* i (+ 1 (* 1/2 i)))
(fma.f64 i (*.f64 i #s(literal 1/2 binary64)) i)
(* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))
(fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i)
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
(fma.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 i i) i)
(- (exp i) 1)
(expm1.f64 i)
(- (exp i) 1)
(expm1.f64 i)
(- (exp i) 1)
(expm1.f64 i)
(- (exp i) 1)
(expm1.f64 i)
(- (exp i) 1)
(expm1.f64 i)
(- (exp i) 1)
(expm1.f64 i)
(- (exp i) 1)
(expm1.f64 i)
(- (exp i) 1)
(expm1.f64 i)
(* 50 (* i n))
(*.f64 #s(literal 50 binary64) (*.f64 n i))
(* 50 (* i n))
(*.f64 #s(literal 50 binary64) (*.f64 n i))
(* 50 (* i n))
(*.f64 #s(literal 50 binary64) (*.f64 n i))
(* 50 (* i n))
(*.f64 #s(literal 50 binary64) (*.f64 n i))
(* 50 (* i n))
(*.f64 #s(literal 50 binary64) (*.f64 n i))
(* 50 (* i n))
(*.f64 #s(literal 50 binary64) (*.f64 n i))
(* 50 (* i n))
(*.f64 #s(literal 50 binary64) (*.f64 n i))
(* 50 (* i n))
(*.f64 #s(literal 50 binary64) (*.f64 n i))
(* 50 (* i n))
(*.f64 #s(literal 50 binary64) (*.f64 n i))
(* 50 (* i n))
(*.f64 #s(literal 50 binary64) (*.f64 n i))
(* 50 (* i n))
(*.f64 #s(literal 50 binary64) (*.f64 n i))
(* 50 (* i n))
(*.f64 #s(literal 50 binary64) (*.f64 n i))
(* 50 (* i n))
(*.f64 #s(literal 50 binary64) (*.f64 n i))
(* 50 (* i n))
(*.f64 #s(literal 50 binary64) (*.f64 n i))
(* 50 (* i n))
(*.f64 #s(literal 50 binary64) (*.f64 n i))
(* 50 (* i n))
(*.f64 #s(literal 50 binary64) (*.f64 n i))
(* 50 (* i n))
(*.f64 #s(literal 50 binary64) (*.f64 n i))
(* 50 (* i n))
(*.f64 #s(literal 50 binary64) (*.f64 n i))
(* 50 (* i n))
(*.f64 #s(literal 50 binary64) (*.f64 n i))
(* 50 (* i n))
(*.f64 #s(literal 50 binary64) (*.f64 n i))
(* 50 (* i n))
(*.f64 #s(literal 50 binary64) (*.f64 n i))
(* 50 (* i n))
(*.f64 #s(literal 50 binary64) (*.f64 n i))
(* 50 (* i n))
(*.f64 #s(literal 50 binary64) (*.f64 n i))
(* 50 (* i n))
(*.f64 #s(literal 50 binary64) (*.f64 n i))
(* 50 i)
(*.f64 #s(literal 50 binary64) i)
(* 50 i)
(*.f64 #s(literal 50 binary64) i)
(* 50 i)
(*.f64 #s(literal 50 binary64) i)
(* 50 i)
(*.f64 #s(literal 50 binary64) i)
(* 50 i)
(*.f64 #s(literal 50 binary64) i)
(* 50 i)
(*.f64 #s(literal 50 binary64) i)
(* 50 i)
(*.f64 #s(literal 50 binary64) i)
(* 50 i)
(*.f64 #s(literal 50 binary64) i)
(* 50 i)
(*.f64 #s(literal 50 binary64) i)
(* 50 i)
(*.f64 #s(literal 50 binary64) i)
(* 50 i)
(*.f64 #s(literal 50 binary64) i)
(* 50 i)
(*.f64 #s(literal 50 binary64) i)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(+ (* 50 (* i n)) (* 100 n))
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* 25/6 (* (pow i 3) n))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(* (pow i 3) (+ (* 25/6 n) (* 50/3 (/ n i))))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 n #s(literal 25/6 binary64) (*.f64 #s(literal 50/3 binary64) (/.f64 n i))))
(* (pow i 3) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (* 50 (/ n (pow i 2))))))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 #s(literal 50 binary64) (/.f64 n (*.f64 i i)) (fma.f64 n #s(literal 25/6 binary64) (*.f64 #s(literal 50/3 binary64) (/.f64 n i)))))
(* (pow i 3) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (+ (* 50 (/ n (pow i 2))) (* 100 (/ n (pow i 3)))))))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 n #s(literal 25/6 binary64) (fma.f64 #s(literal 100 binary64) (/.f64 n (*.f64 i (*.f64 i i))) (fma.f64 #s(literal 50 binary64) (/.f64 n (*.f64 i i)) (*.f64 #s(literal 50/3 binary64) (/.f64 n i))))))
(* 25/6 (* (pow i 3) n))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(* -1 (* (pow i 3) (+ (* -50/3 (/ n i)) (* -25/6 n))))
(*.f64 (fma.f64 n #s(literal -25/6 binary64) (/.f64 (*.f64 n #s(literal -50/3 binary64)) i)) (neg.f64 (*.f64 i (*.f64 i i))))
(* -1 (* (pow i 3) (+ (* -25/6 n) (* -1 (/ (+ (* 50/3 n) (* 50 (/ n i))) i)))))
(*.f64 (-.f64 (*.f64 n #s(literal -25/6 binary64)) (/.f64 (fma.f64 #s(literal 50 binary64) (/.f64 n i) (*.f64 n #s(literal 50/3 binary64))) i)) (neg.f64 (*.f64 i (*.f64 i i))))
(* -1 (* (pow i 3) (+ (* -25/6 n) (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ n i)) (* -50 n)) i)) (* 50/3 n)) i)))))
(*.f64 (-.f64 (*.f64 n #s(literal -25/6 binary64)) (/.f64 (-.f64 (*.f64 n #s(literal 50/3 binary64)) (/.f64 (fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 n #s(literal -50 binary64))) i)) i)) (neg.f64 (*.f64 i (*.f64 i i))))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* -1 (* n (- (* -1 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))) 100)))
(neg.f64 (*.f64 n (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (neg.f64 i) #s(literal -100 binary64))))
(* -1 (* n (- (* -1 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))) 100)))
(neg.f64 (*.f64 n (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (neg.f64 i) #s(literal -100 binary64))))
(* -1 (* n (- (* -1 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))) 100)))
(neg.f64 (*.f64 n (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (neg.f64 i) #s(literal -100 binary64))))
(* -1 (* n (- (* -1 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))) 100)))
(neg.f64 (*.f64 n (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (neg.f64 i) #s(literal -100 binary64))))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(* 50 n)
(*.f64 n #s(literal 50 binary64))
(+ (* 50/3 (* i n)) (* 50 n))
(*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)))
(+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(* 25/6 (* (pow i 2) n))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i i)))
(* (pow i 2) (+ (* 25/6 n) (* 50/3 (/ n i))))
(*.f64 (fma.f64 n #s(literal 25/6 binary64) (*.f64 #s(literal 50/3 binary64) (/.f64 n i))) (*.f64 i i))
(* (pow i 2) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (* 50 (/ n (pow i 2))))))
(*.f64 (*.f64 i i) (fma.f64 #s(literal 50 binary64) (/.f64 n (*.f64 i i)) (fma.f64 n #s(literal 25/6 binary64) (*.f64 #s(literal 50/3 binary64) (/.f64 n i)))))
(* (pow i 2) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (* 50 (/ n (pow i 2))))))
(*.f64 (*.f64 i i) (fma.f64 #s(literal 50 binary64) (/.f64 n (*.f64 i i)) (fma.f64 n #s(literal 25/6 binary64) (*.f64 #s(literal 50/3 binary64) (/.f64 n i)))))
(* 25/6 (* (pow i 2) n))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i i)))
(* (pow i 2) (+ (* 25/6 n) (* 50/3 (/ n i))))
(*.f64 (fma.f64 n #s(literal 25/6 binary64) (*.f64 #s(literal 50/3 binary64) (/.f64 n i))) (*.f64 i i))
(* (pow i 2) (+ (* -1 (/ (+ (* -50 (/ n i)) (* -50/3 n)) i)) (* 25/6 n)))
(*.f64 (*.f64 i i) (-.f64 (*.f64 n #s(literal 25/6 binary64)) (/.f64 (fma.f64 n #s(literal -50/3 binary64) (/.f64 (*.f64 n #s(literal -50 binary64)) i)) i)))
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(*.f64 n (fma.f64 #s(literal 100 binary64) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (*.f64 n n)) (exp.f64 i)) (*.f64 (*.f64 i i) (*.f64 (/.f64 (exp.f64 i) n) #s(literal -50 binary64)))))
(* n (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (exp i)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
(*.f64 n (fma.f64 #s(literal 100 binary64) (fma.f64 (exp.f64 i) (+.f64 (/.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (*.f64 n n)) (/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64) (fma.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.f64 i)) (*.f64 (*.f64 i i) (*.f64 (/.f64 (exp.f64 i) n) #s(literal -50 binary64)))))
(* 100 (* n (exp i)))
(*.f64 #s(literal 100 binary64) (*.f64 n (exp.f64 i)))
(* -1 (* n (+ (* -100 (exp i)) (* 50 (/ (* (pow i 2) (exp i)) n)))))
(*.f64 (fma.f64 #s(literal 50 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (*.f64 (exp.f64 i) #s(literal -100 binary64))) (neg.f64 n))
(* -1 (* n (+ (* -100 (exp i)) (* -1 (/ (+ (* -50 (* (pow i 2) (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n))) n)))))
(neg.f64 (*.f64 n (-.f64 (*.f64 (exp.f64 i) #s(literal -100 binary64)) (/.f64 (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)))) n) (*.f64 (exp.f64 i) (*.f64 (*.f64 i i) #s(literal -50 binary64)))) n))))
(* -1 (* n (+ (* -100 (exp i)) (* -1 (/ (+ (* -50 (* (pow i 2) (exp i))) (* -1 (/ (+ (* -100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n))) n))) n)))))
(neg.f64 (*.f64 n (-.f64 (*.f64 (exp.f64 i) #s(literal -100 binary64)) (/.f64 (-.f64 (*.f64 (exp.f64 i) (*.f64 (*.f64 i i) #s(literal -50 binary64))) (/.f64 (fma.f64 #s(literal -100 binary64) (*.f64 (exp.f64 i) (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (fma.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))))
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(+ (* 100 n) (* 100 (* i n)))
(*.f64 n (fma.f64 #s(literal 100 binary64) i #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
(fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)) (*.f64 #s(literal 100 binary64) n))
(+ (* 100 n) (* i (+ (* 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))))))))))
(fma.f64 #s(literal 100 binary64) (fma.f64 n i n) (*.f64 (*.f64 i i) (*.f64 #s(literal 100 binary64) (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 n i) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))))))))
(* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))
(*.f64 #s(literal 100 binary64) (*.f64 n (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))))
(+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 n (exp.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)))
(+ (* 100 (* n (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))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (fma.f64 n (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 n (*.f64 n n)))) (*.f64 i i))) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i))))
(+ (* 100 (* n (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)))))
(fma.f64 #s(literal 100 binary64) (*.f64 n (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 n (*.f64 n n)))) (*.f64 i i))) (fma.f64 n (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.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)))))
(* 100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))
(*.f64 (*.f64 #s(literal 100 binary64) n) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))))
(+ (* 100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n (*.f64 n n)) (/.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) i) (*.f64 n (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))))))
(+ (* -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 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))))
(fma.f64 #s(literal 100 binary64) (*.f64 n (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 n (*.f64 n n)))) i)) (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 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)))))))) (* -1 (/ (+ (* -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)) (* 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 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))))
(-.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (*.f64 (*.f64 n (*.f64 n n)) #s(literal -100 binary64))) (/.f64 (fma.f64 (*.f64 n #s(literal -100 binary64)) (*.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64)))) i)) (*.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 n (*.f64 n n))))) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))))) i)) i))

eval126.0ms (1%)

Memory
26.9MiB live, 99.4MiB allocated
Compiler

Compiled 33 312 to 3 147 computations (90.6% saved)

prune142.0ms (1.1%)

Memory
-19.7MiB live, 141.9MiB allocated
Pruning

61 alts after pruning (54 fresh and 7 done)

PrunedKeptTotal
New987231 010
Fresh123143
Picked235
Done044
Total1 001611 062
Accuracy
100.0%
Counts
1 062 → 61
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.5%
(fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal 100 binary64) n))
19.8%
(fma.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) i))
13.2%
(fma.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
20.5%
(fma.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
20.1%
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 #s(literal 100 binary64) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
56.1%
(fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 n #s(literal 100 binary64)))
56.1%
(fma.f64 (*.f64 i #s(literal 50 binary64)) n (*.f64 n #s(literal 100 binary64)))
19.9%
(fma.f64 n (/.f64 #s(literal 100 binary64) (neg.f64 i)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 n (/.f64 #s(literal 100 binary64) i))))
55.7%
(fma.f64 n #s(literal 100 binary64) (*.f64 i (*.f64 n #s(literal 50 binary64))))
36.3%
(fma.f64 i (/.f64 (*.f64 (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (fma.f64 (*.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) n (*.f64 #s(literal -50 binary64) n))) (fma.f64 (*.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) n (*.f64 #s(literal -50 binary64) n))) (*.f64 n #s(literal 100 binary64)))
58.8%
(fma.f64 i (*.f64 n (fma.f64 i (*.f64 i #s(literal 25/6 binary64)) #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
19.9%
(fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
19.7%
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 n (/.f64 #s(literal 100 binary64) i))))
14.3%
(/.f64 (fma.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i (*.f64 i (*.f64 (*.f64 #s(literal 100 binary64) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (*.f64 i i))
49.4%
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) i) #s(literal 0 binary64)) i)
10.9%
(/.f64 (fma.f64 #s(literal 100 binary64) i (*.f64 (/.f64 i (neg.f64 n)) (*.f64 (*.f64 #s(literal 100 binary64) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (*.f64 (/.f64 i (neg.f64 n)) i))
38.3%
(/.f64 (*.f64 (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal 100 binary64) n)) (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal -100 binary64) n))) (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal -100 binary64) n)))
58.3%
(/.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal 2500 binary64) #s(literal -10000 binary64)) n) (fma.f64 i #s(literal 50 binary64) #s(literal -100 binary64)))
13.4%
(/.f64 (*.f64 (*.f64 i i) (fma.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 n #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 100/3 binary64))) n)
6.9%
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
47.7%
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) n)) n)
67.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) #s(literal 1/100 binary64)))
20.6%
(/.f64 #s(literal 0 binary64) i)
24.1%
(+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 n (/.f64 #s(literal 100 binary64) i))) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
26.7%
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
20.5%
(*.f64 (fma.f64 n (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 n (neg.f64 i))) #s(literal 100 binary64))
59.5%
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
57.8%
(*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
27.1%
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
66.8%
(*.f64 (/.f64 (*.f64 (expm1.f64 i) n) i) #s(literal 100 binary64))
59.8%
(*.f64 (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) i) (*.f64 n #s(literal 100 binary64)))
6.5%
(*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))
72.2%
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
11.3%
(*.f64 (*.f64 n #s(literal 50 binary64)) i)
15.8%
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 n #s(literal 25/6 binary64) (*.f64 #s(literal 50/3 binary64) (/.f64 n i))))
11.3%
(*.f64 (*.f64 i n) #s(literal 50 binary64))
56.1%
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
11.3%
(*.f64 n (*.f64 i #s(literal 50 binary64)))
15.1%
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
51.3%
(*.f64 n #s(literal 100 binary64))
38.7%
(*.f64 i (fma.f64 #s(literal 100 binary64) (/.f64 n i) (*.f64 n #s(literal 50 binary64))))
15.1%
(*.f64 i (*.f64 i (*.f64 (*.f64 n i) #s(literal 25/6 binary64))))
13.5%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 n i)))
19.9%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 n (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i)))))
57.8%
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
55.5%
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64)) n))
59.5%
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 n #s(literal 1/2 binary64))) n))
15.5%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(literal 1 binary64)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
14.0%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 n (*.f64 i (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (*.f64 i i)))
49.1%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i))
44.8%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i) (/.f64 i n)))
43.2%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i #s(literal 1/2 binary64)) i) (/.f64 i n)))
27.1%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) i))
14.2%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)) i))
12.0%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (fma.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n i) #s(literal 0 binary64))) (*.f64 i i)))
13.4%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
74.1%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
71.0%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 #s(literal 1 binary64) (/.f64 n i))))
74.0%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) i)))
43.0%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (exp.f64 (*.f64 (log.f64 (/.f64 n i)) #s(literal -1 binary64)))))
26.8%
(*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i)))
Compiler

Compiled 2 551 to 992 computations (61.1% saved)

regimes99.0ms (0.8%)

Memory
5.1MiB live, 47.2MiB allocated
Counts
107 → 4
Calls
Call 1
Inputs
(*.f64 n #s(literal 100 binary64))
(*.f64 n (*.f64 i #s(literal 50 binary64)))
(*.f64 (*.f64 i n) #s(literal 50 binary64))
(*.f64 (*.f64 n #s(literal 50 binary64)) i)
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 n i) n))
(fma.f64 n #s(literal 100 binary64) (*.f64 i (*.f64 n #s(literal 50 binary64))))
(fma.f64 (*.f64 i #s(literal 50 binary64)) n (*.f64 n #s(literal 100 binary64)))
(fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64)) n))
(*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 i (*.f64 i (*.f64 (*.f64 n i) #s(literal 25/6 binary64))))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) n)) n)
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) i) #s(literal 0 binary64)) i)
(/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 i (fma.f64 #s(literal 100 binary64) (/.f64 n i) (*.f64 n #s(literal 50 binary64))))
(fma.f64 i (*.f64 n (fma.f64 i (*.f64 i #s(literal 25/6 binary64)) #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 n #s(literal 1/2 binary64))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 n i)))
(/.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal 2500 binary64) #s(literal -10000 binary64)) n) (fma.f64 i #s(literal 50 binary64) #s(literal -100 binary64)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 (*.f64 n i) (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64))))
(fma.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 n #s(literal 25/6 binary64) (*.f64 #s(literal 50/3 binary64) (/.f64 n i))))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 n #s(literal 25/6 binary64) (/.f64 (*.f64 n #s(literal 50/3 binary64)) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i #s(literal 1/2 binary64)) i) (/.f64 i n)))
(/.f64 (*.f64 (*.f64 i i) (fma.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 n #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 100/3 binary64))) n)
(fma.f64 i (fma.f64 i (fma.f64 (*.f64 n #s(literal 25/6 binary64)) i (*.f64 n #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(literal 1 binary64)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 n (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n))) #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) (*.f64 n n)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.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))) n))
(fma.f64 n #s(literal 100 binary64) (*.f64 (fma.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 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 (*.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (fma.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) (/.f64 i n)))
(fma.f64 i (/.f64 (*.f64 (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (fma.f64 (*.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) n (*.f64 #s(literal -50 binary64) n))) (fma.f64 (*.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) n (*.f64 #s(literal -50 binary64) n))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal 100 binary64) n)) (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal -100 binary64) n))) (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal -100 binary64) n)))
(/.f64 (*.f64 (fma.f64 i (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64))) (fma.f64 i (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n))) (fma.f64 i (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 n i))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) n) i) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) #s(literal 1/100 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 #s(literal 1 binary64) (/.f64 n i))))
(*.f64 (/.f64 (expm1.f64 i) i) (/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) 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 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)))
(*.f64 (fma.f64 n (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 n (neg.f64 i))) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 n (/.f64 #s(literal 100 binary64) i))))
(fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 n (*.f64 i (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 n (neg.f64 i))))
(+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 n (/.f64 #s(literal 100 binary64) i))) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(fma.f64 n (/.f64 #s(literal 100 binary64) (neg.f64 i)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 n (/.f64 #s(literal 100 binary64) i))))
(fma.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) i))
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 n (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i)))))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 #s(literal 100 binary64) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(/.f64 (fma.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i (*.f64 i (*.f64 (*.f64 #s(literal 100 binary64) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (*.f64 i i))
(fma.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 #s(literal 1 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(/.f64 (fma.f64 #s(literal 100 binary64) i (*.f64 (/.f64 i (neg.f64 n)) (*.f64 (*.f64 #s(literal 100 binary64) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (*.f64 (/.f64 i (neg.f64 n)) i))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)) i))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 n i) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 i)) #s(literal -1 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (fma.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n i) #s(literal 0 binary64))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(*.f64 n (fma.f64 (/.f64 (*.f64 i (exp.f64 i)) n) #s(literal -50 binary64) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 #s(literal 1 binary64) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 #s(literal 1 binary64) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (exp.f64 (*.f64 (log.f64 (/.f64 n i)) #s(literal -1 binary64)))))
Outputs
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(*.f64 n #s(literal 100 binary64))
Calls

4 calls:

28.0ms
n
25.0ms
i
21.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
20.0ms
(*.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
88.9%4i
89.4%3n
94.2%4(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
94.2%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes93.0ms (0.7%)

Memory
6.8MiB live, 45.8MiB allocated
Counts
102 → 3
Calls
Call 1
Inputs
(*.f64 n #s(literal 100 binary64))
(*.f64 n (*.f64 i #s(literal 50 binary64)))
(*.f64 (*.f64 i n) #s(literal 50 binary64))
(*.f64 (*.f64 n #s(literal 50 binary64)) i)
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 n i) n))
(fma.f64 n #s(literal 100 binary64) (*.f64 i (*.f64 n #s(literal 50 binary64))))
(fma.f64 (*.f64 i #s(literal 50 binary64)) n (*.f64 n #s(literal 100 binary64)))
(fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64)) n))
(*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 i (*.f64 i (*.f64 (*.f64 n i) #s(literal 25/6 binary64))))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) n)) n)
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) i) #s(literal 0 binary64)) i)
(/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 i (fma.f64 #s(literal 100 binary64) (/.f64 n i) (*.f64 n #s(literal 50 binary64))))
(fma.f64 i (*.f64 n (fma.f64 i (*.f64 i #s(literal 25/6 binary64)) #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 n #s(literal 1/2 binary64))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 n i)))
(/.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal 2500 binary64) #s(literal -10000 binary64)) n) (fma.f64 i #s(literal 50 binary64) #s(literal -100 binary64)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 (*.f64 n i) (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64))))
(fma.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 n #s(literal 25/6 binary64) (*.f64 #s(literal 50/3 binary64) (/.f64 n i))))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 n #s(literal 25/6 binary64) (/.f64 (*.f64 n #s(literal 50/3 binary64)) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i #s(literal 1/2 binary64)) i) (/.f64 i n)))
(/.f64 (*.f64 (*.f64 i i) (fma.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 n #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 100/3 binary64))) n)
(fma.f64 i (fma.f64 i (fma.f64 (*.f64 n #s(literal 25/6 binary64)) i (*.f64 n #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(literal 1 binary64)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 n (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n))) #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) (*.f64 n n)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.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))) n))
(fma.f64 n #s(literal 100 binary64) (*.f64 (fma.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 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 (*.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (fma.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) (/.f64 i n)))
(fma.f64 i (/.f64 (*.f64 (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (fma.f64 (*.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) n (*.f64 #s(literal -50 binary64) n))) (fma.f64 (*.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) n (*.f64 #s(literal -50 binary64) n))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal 100 binary64) n)) (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal -100 binary64) n))) (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal -100 binary64) n)))
(/.f64 (*.f64 (fma.f64 i (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64))) (fma.f64 i (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n))) (fma.f64 i (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 n i))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) n) i) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) #s(literal 1/100 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 #s(literal 1 binary64) (/.f64 n i))))
(*.f64 (/.f64 (expm1.f64 i) i) (/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) 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 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)))
(*.f64 (fma.f64 n (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 n (neg.f64 i))) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 n (/.f64 #s(literal 100 binary64) i))))
(fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 n (*.f64 i (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 n (neg.f64 i))))
(+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 n (/.f64 #s(literal 100 binary64) i))) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(fma.f64 n (/.f64 #s(literal 100 binary64) (neg.f64 i)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 n (/.f64 #s(literal 100 binary64) i))))
(fma.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) i))
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 n (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i)))))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 #s(literal 100 binary64) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(/.f64 (fma.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i (*.f64 i (*.f64 (*.f64 #s(literal 100 binary64) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (*.f64 i i))
(fma.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 #s(literal 1 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(/.f64 (fma.f64 #s(literal 100 binary64) i (*.f64 (/.f64 i (neg.f64 n)) (*.f64 (*.f64 #s(literal 100 binary64) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (*.f64 (/.f64 i (neg.f64 n)) i))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)) i))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 n i) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 i)) #s(literal -1 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (fma.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n i) #s(literal 0 binary64))) (*.f64 i i)))
Outputs
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))
Calls

4 calls:

24.0ms
n
24.0ms
i
20.0ms
(*.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)))
20.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
78.8%3i
79.9%3n
78.2%4(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
78.2%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes28.0ms (0.2%)

Memory
-24.1MiB live, 15.7MiB allocated
Counts
100 → 4
Calls
Call 1
Inputs
(*.f64 n #s(literal 100 binary64))
(*.f64 n (*.f64 i #s(literal 50 binary64)))
(*.f64 (*.f64 i n) #s(literal 50 binary64))
(*.f64 (*.f64 n #s(literal 50 binary64)) i)
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 n i) n))
(fma.f64 n #s(literal 100 binary64) (*.f64 i (*.f64 n #s(literal 50 binary64))))
(fma.f64 (*.f64 i #s(literal 50 binary64)) n (*.f64 n #s(literal 100 binary64)))
(fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64)) n))
(*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 i (*.f64 i (*.f64 (*.f64 n i) #s(literal 25/6 binary64))))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) n)) n)
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) i) #s(literal 0 binary64)) i)
(/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 i (fma.f64 #s(literal 100 binary64) (/.f64 n i) (*.f64 n #s(literal 50 binary64))))
(fma.f64 i (*.f64 n (fma.f64 i (*.f64 i #s(literal 25/6 binary64)) #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 n #s(literal 1/2 binary64))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 n i)))
(/.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal 2500 binary64) #s(literal -10000 binary64)) n) (fma.f64 i #s(literal 50 binary64) #s(literal -100 binary64)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 (*.f64 n i) (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64))))
(fma.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 n #s(literal 25/6 binary64) (*.f64 #s(literal 50/3 binary64) (/.f64 n i))))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 n #s(literal 25/6 binary64) (/.f64 (*.f64 n #s(literal 50/3 binary64)) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i #s(literal 1/2 binary64)) i) (/.f64 i n)))
(/.f64 (*.f64 (*.f64 i i) (fma.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 n #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 100/3 binary64))) n)
(fma.f64 i (fma.f64 i (fma.f64 (*.f64 n #s(literal 25/6 binary64)) i (*.f64 n #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(literal 1 binary64)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 n (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n))) #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) (*.f64 n n)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.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))) n))
(fma.f64 n #s(literal 100 binary64) (*.f64 (fma.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 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 (*.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (fma.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) (/.f64 i n)))
(fma.f64 i (/.f64 (*.f64 (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (fma.f64 (*.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) n (*.f64 #s(literal -50 binary64) n))) (fma.f64 (*.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) n (*.f64 #s(literal -50 binary64) n))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal 100 binary64) n)) (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal -100 binary64) n))) (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal -100 binary64) n)))
(/.f64 (*.f64 (fma.f64 i (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64))) (fma.f64 i (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n))) (fma.f64 i (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 n i))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) n) i) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) #s(literal 1/100 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 #s(literal 1 binary64) (/.f64 n i))))
(*.f64 (/.f64 (expm1.f64 i) i) (/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) 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 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)))
(*.f64 (fma.f64 n (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 n (neg.f64 i))) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 n (/.f64 #s(literal 100 binary64) i))))
(fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 n (*.f64 i (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 n (neg.f64 i))))
(+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 n (/.f64 #s(literal 100 binary64) i))) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(fma.f64 n (/.f64 #s(literal 100 binary64) (neg.f64 i)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 n (/.f64 #s(literal 100 binary64) i))))
(fma.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) i))
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 n (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i)))))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 #s(literal 100 binary64) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(/.f64 (fma.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i (*.f64 i (*.f64 (*.f64 #s(literal 100 binary64) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (*.f64 i i))
(fma.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 #s(literal 1 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(/.f64 (fma.f64 #s(literal 100 binary64) i (*.f64 (/.f64 i (neg.f64 n)) (*.f64 (*.f64 #s(literal 100 binary64) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (*.f64 (/.f64 i (neg.f64 n)) i))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)) i))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 n i) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 i)) #s(literal -1 binary64))))
Outputs
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) n)) n)
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))
Calls

1 calls:

24.0ms
n
Results
AccuracySegmentsBranch
81.2%4n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes27.0ms (0.2%)

Memory
15.2MiB live, 15.2MiB allocated
Counts
97 → 3
Calls
Call 1
Inputs
(*.f64 n #s(literal 100 binary64))
(*.f64 n (*.f64 i #s(literal 50 binary64)))
(*.f64 (*.f64 i n) #s(literal 50 binary64))
(*.f64 (*.f64 n #s(literal 50 binary64)) i)
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 n i) n))
(fma.f64 n #s(literal 100 binary64) (*.f64 i (*.f64 n #s(literal 50 binary64))))
(fma.f64 (*.f64 i #s(literal 50 binary64)) n (*.f64 n #s(literal 100 binary64)))
(fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64)) n))
(*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 i (*.f64 i (*.f64 (*.f64 n i) #s(literal 25/6 binary64))))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) n)) n)
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) i) #s(literal 0 binary64)) i)
(/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 i (fma.f64 #s(literal 100 binary64) (/.f64 n i) (*.f64 n #s(literal 50 binary64))))
(fma.f64 i (*.f64 n (fma.f64 i (*.f64 i #s(literal 25/6 binary64)) #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 n #s(literal 1/2 binary64))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 n i)))
(/.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal 2500 binary64) #s(literal -10000 binary64)) n) (fma.f64 i #s(literal 50 binary64) #s(literal -100 binary64)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 (*.f64 n i) (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64))))
(fma.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 n #s(literal 25/6 binary64) (*.f64 #s(literal 50/3 binary64) (/.f64 n i))))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 n #s(literal 25/6 binary64) (/.f64 (*.f64 n #s(literal 50/3 binary64)) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i #s(literal 1/2 binary64)) i) (/.f64 i n)))
(/.f64 (*.f64 (*.f64 i i) (fma.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 n #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 100/3 binary64))) n)
(fma.f64 i (fma.f64 i (fma.f64 (*.f64 n #s(literal 25/6 binary64)) i (*.f64 n #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(literal 1 binary64)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 n (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n))) #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) (*.f64 n n)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.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))) n))
(fma.f64 n #s(literal 100 binary64) (*.f64 (fma.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 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 (*.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (fma.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) (/.f64 i n)))
(fma.f64 i (/.f64 (*.f64 (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (fma.f64 (*.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) n (*.f64 #s(literal -50 binary64) n))) (fma.f64 (*.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) n (*.f64 #s(literal -50 binary64) n))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal 100 binary64) n)) (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal -100 binary64) n))) (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal -100 binary64) n)))
(/.f64 (*.f64 (fma.f64 i (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64))) (fma.f64 i (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n))) (fma.f64 i (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 n i))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) n) i) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) #s(literal 1/100 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 #s(literal 1 binary64) (/.f64 n i))))
(*.f64 (/.f64 (expm1.f64 i) i) (/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) 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 #s(literal 100 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)))
(*.f64 (fma.f64 n (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) (/.f64 n (neg.f64 i))) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
(fma.f64 #s(literal -100 binary64) (/.f64 n i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 n (/.f64 #s(literal 100 binary64) i))))
(fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 n (*.f64 i (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 n (neg.f64 i))))
(+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 n (/.f64 #s(literal 100 binary64) i))) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(fma.f64 n (/.f64 #s(literal 100 binary64) (neg.f64 i)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 n (/.f64 #s(literal 100 binary64) i))))
(fma.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) i))
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 n (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 #s(literal 1 binary64) i)))))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 #s(literal 100 binary64) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (*.f64 #s(literal -100 binary64) (/.f64 n i)))
(/.f64 (fma.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i (*.f64 i (*.f64 (*.f64 #s(literal 100 binary64) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (*.f64 i i))
(fma.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 #s(literal 1 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(/.f64 (fma.f64 #s(literal 100 binary64) i (*.f64 (/.f64 i (neg.f64 n)) (*.f64 (*.f64 #s(literal 100 binary64) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (*.f64 (/.f64 i (neg.f64 n)) i))
Outputs
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))
Calls

1 calls:

23.0ms
n
Results
AccuracySegmentsBranch
79.1%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Counts
63 → 3
Calls
Call 1
Inputs
(*.f64 n #s(literal 100 binary64))
(*.f64 n (*.f64 i #s(literal 50 binary64)))
(*.f64 (*.f64 i n) #s(literal 50 binary64))
(*.f64 (*.f64 n #s(literal 50 binary64)) i)
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 n i) n))
(fma.f64 n #s(literal 100 binary64) (*.f64 i (*.f64 n #s(literal 50 binary64))))
(fma.f64 (*.f64 i #s(literal 50 binary64)) n (*.f64 n #s(literal 100 binary64)))
(fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64)) n))
(*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 i (*.f64 i (*.f64 (*.f64 n i) #s(literal 25/6 binary64))))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) n)) n)
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) i) #s(literal 0 binary64)) i)
(/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 i (fma.f64 #s(literal 100 binary64) (/.f64 n i) (*.f64 n #s(literal 50 binary64))))
(fma.f64 i (*.f64 n (fma.f64 i (*.f64 i #s(literal 25/6 binary64)) #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 n #s(literal 1/2 binary64))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 n i)))
(/.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal 2500 binary64) #s(literal -10000 binary64)) n) (fma.f64 i #s(literal 50 binary64) #s(literal -100 binary64)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 (*.f64 n i) (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64))))
(fma.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 n #s(literal 25/6 binary64) (*.f64 #s(literal 50/3 binary64) (/.f64 n i))))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 n #s(literal 25/6 binary64) (/.f64 (*.f64 n #s(literal 50/3 binary64)) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i #s(literal 1/2 binary64)) i) (/.f64 i n)))
(/.f64 (*.f64 (*.f64 i i) (fma.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 n #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 100/3 binary64))) n)
(fma.f64 i (fma.f64 i (fma.f64 (*.f64 n #s(literal 25/6 binary64)) i (*.f64 n #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(literal 1 binary64)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 n (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n))) #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) (*.f64 n n)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.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))) n))
(fma.f64 n #s(literal 100 binary64) (*.f64 (fma.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 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 (*.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (fma.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) (/.f64 i n)))
(fma.f64 i (/.f64 (*.f64 (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (fma.f64 (*.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) n (*.f64 #s(literal -50 binary64) n))) (fma.f64 (*.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) n (*.f64 #s(literal -50 binary64) n))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal 100 binary64) n)) (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal -100 binary64) n))) (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal -100 binary64) n)))
(/.f64 (*.f64 (fma.f64 i (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64))) (fma.f64 i (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n))) (fma.f64 i (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 n i))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) n)
Outputs
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)
Calls

1 calls:

15.0ms
n
Results
AccuracySegmentsBranch
79.1%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes33.0ms (0.2%)

Memory
-23.0MiB live, 16.6MiB allocated
Counts
61 → 4
Calls
Call 1
Inputs
(*.f64 n #s(literal 100 binary64))
(*.f64 n (*.f64 i #s(literal 50 binary64)))
(*.f64 (*.f64 i n) #s(literal 50 binary64))
(*.f64 (*.f64 n #s(literal 50 binary64)) i)
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 n i) n))
(fma.f64 n #s(literal 100 binary64) (*.f64 i (*.f64 n #s(literal 50 binary64))))
(fma.f64 (*.f64 i #s(literal 50 binary64)) n (*.f64 n #s(literal 100 binary64)))
(fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64)) n))
(*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 i (*.f64 i (*.f64 (*.f64 n i) #s(literal 25/6 binary64))))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) n)) n)
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) i) #s(literal 0 binary64)) i)
(/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 i (fma.f64 #s(literal 100 binary64) (/.f64 n i) (*.f64 n #s(literal 50 binary64))))
(fma.f64 i (*.f64 n (fma.f64 i (*.f64 i #s(literal 25/6 binary64)) #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 n #s(literal 1/2 binary64))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 n i)))
(/.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal 2500 binary64) #s(literal -10000 binary64)) n) (fma.f64 i #s(literal 50 binary64) #s(literal -100 binary64)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 (*.f64 n i) (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64))))
(fma.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 n #s(literal 25/6 binary64) (*.f64 #s(literal 50/3 binary64) (/.f64 n i))))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 n #s(literal 25/6 binary64) (/.f64 (*.f64 n #s(literal 50/3 binary64)) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i #s(literal 1/2 binary64)) i) (/.f64 i n)))
(/.f64 (*.f64 (*.f64 i i) (fma.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 n #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 100/3 binary64))) n)
(fma.f64 i (fma.f64 i (fma.f64 (*.f64 n #s(literal 25/6 binary64)) i (*.f64 n #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(literal 1 binary64)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 n (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n))) #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) (*.f64 n n)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.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))) n))
(fma.f64 n #s(literal 100 binary64) (*.f64 (fma.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 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 (*.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (fma.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) (/.f64 i n)))
(fma.f64 i (/.f64 (*.f64 (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (fma.f64 (*.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) n (*.f64 #s(literal -50 binary64) n))) (fma.f64 (*.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) n (*.f64 #s(literal -50 binary64) n))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal 100 binary64) n)) (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal -100 binary64) n))) (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal -100 binary64) n)))
(/.f64 (*.f64 (fma.f64 i (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64))) (fma.f64 i (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n))) (fma.f64 i (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 n i))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
Calls

2 calls:

15.0ms
n
15.0ms
i
Results
AccuracySegmentsBranch
76.4%4i
79.0%4n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes17.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
59 → 3
Calls
Call 1
Inputs
(*.f64 n #s(literal 100 binary64))
(*.f64 n (*.f64 i #s(literal 50 binary64)))
(*.f64 (*.f64 i n) #s(literal 50 binary64))
(*.f64 (*.f64 n #s(literal 50 binary64)) i)
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 n i) n))
(fma.f64 n #s(literal 100 binary64) (*.f64 i (*.f64 n #s(literal 50 binary64))))
(fma.f64 (*.f64 i #s(literal 50 binary64)) n (*.f64 n #s(literal 100 binary64)))
(fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64)) n))
(*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 i (*.f64 i (*.f64 (*.f64 n i) #s(literal 25/6 binary64))))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) n)) n)
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) i) #s(literal 0 binary64)) i)
(/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 i (fma.f64 #s(literal 100 binary64) (/.f64 n i) (*.f64 n #s(literal 50 binary64))))
(fma.f64 i (*.f64 n (fma.f64 i (*.f64 i #s(literal 25/6 binary64)) #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 n #s(literal 1/2 binary64))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 n i)))
(/.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal 2500 binary64) #s(literal -10000 binary64)) n) (fma.f64 i #s(literal 50 binary64) #s(literal -100 binary64)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 (*.f64 n i) (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64))))
(fma.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 n #s(literal 25/6 binary64) (*.f64 #s(literal 50/3 binary64) (/.f64 n i))))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 n #s(literal 25/6 binary64) (/.f64 (*.f64 n #s(literal 50/3 binary64)) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i #s(literal 1/2 binary64)) i) (/.f64 i n)))
(/.f64 (*.f64 (*.f64 i i) (fma.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 n #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 100/3 binary64))) n)
(fma.f64 i (fma.f64 i (fma.f64 (*.f64 n #s(literal 25/6 binary64)) i (*.f64 n #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(literal 1 binary64)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 n (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n))) #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) (*.f64 n n)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.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))) n))
(fma.f64 n #s(literal 100 binary64) (*.f64 (fma.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 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 (*.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (fma.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) (/.f64 i n)))
(fma.f64 i (/.f64 (*.f64 (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (fma.f64 (*.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) n (*.f64 #s(literal -50 binary64) n))) (fma.f64 (*.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) n (*.f64 #s(literal -50 binary64) n))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal 100 binary64) n)) (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal -100 binary64) n))) (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal -100 binary64) n)))
(/.f64 (*.f64 (fma.f64 i (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64))) (fma.f64 i (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n))) (fma.f64 i (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
Calls

1 calls:

14.0ms
n
Results
AccuracySegmentsBranch
77.3%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes54.0ms (0.4%)

Memory
28.0MiB live, 28.0MiB allocated
Counts
58 → 3
Calls
Call 1
Inputs
(*.f64 n #s(literal 100 binary64))
(*.f64 n (*.f64 i #s(literal 50 binary64)))
(*.f64 (*.f64 i n) #s(literal 50 binary64))
(*.f64 (*.f64 n #s(literal 50 binary64)) i)
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 n i) n))
(fma.f64 n #s(literal 100 binary64) (*.f64 i (*.f64 n #s(literal 50 binary64))))
(fma.f64 (*.f64 i #s(literal 50 binary64)) n (*.f64 n #s(literal 100 binary64)))
(fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64)) n))
(*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 i (*.f64 i (*.f64 (*.f64 n i) #s(literal 25/6 binary64))))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) n)) n)
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) i) #s(literal 0 binary64)) i)
(/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 i (fma.f64 #s(literal 100 binary64) (/.f64 n i) (*.f64 n #s(literal 50 binary64))))
(fma.f64 i (*.f64 n (fma.f64 i (*.f64 i #s(literal 25/6 binary64)) #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 n #s(literal 1/2 binary64))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 n i)))
(/.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal 2500 binary64) #s(literal -10000 binary64)) n) (fma.f64 i #s(literal 50 binary64) #s(literal -100 binary64)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 (*.f64 n i) (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64))))
(fma.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 n #s(literal 25/6 binary64) (*.f64 #s(literal 50/3 binary64) (/.f64 n i))))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 n #s(literal 25/6 binary64) (/.f64 (*.f64 n #s(literal 50/3 binary64)) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i #s(literal 1/2 binary64)) i) (/.f64 i n)))
(/.f64 (*.f64 (*.f64 i i) (fma.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 n #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 100/3 binary64))) n)
(fma.f64 i (fma.f64 i (fma.f64 (*.f64 n #s(literal 25/6 binary64)) i (*.f64 n #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(literal 1 binary64)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 n (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n))) #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) (*.f64 n n)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.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))) n))
(fma.f64 n #s(literal 100 binary64) (*.f64 (fma.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 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 (*.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (fma.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) (/.f64 i n)))
(fma.f64 i (/.f64 (*.f64 (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (fma.f64 (*.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) n (*.f64 #s(literal -50 binary64) n))) (fma.f64 (*.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) n (*.f64 #s(literal -50 binary64) n))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal 100 binary64) n)) (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal -100 binary64) n))) (fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal -100 binary64) n)))
(/.f64 (*.f64 (fma.f64 i (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64))) (fma.f64 i (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n))) (fma.f64 i (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n)))
Outputs
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) i) (*.f64 n #s(literal 100 binary64)))
Calls

4 calls:

14.0ms
n
14.0ms
i
11.0ms
(*.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)))
11.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
66.0%3i
59.8%1(*.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)))
59.8%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
68.6%3n
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes14.0ms (0.1%)

Memory
-35.4MiB live, 7.8MiB allocated
Counts
45 → 3
Calls
Call 1
Inputs
(*.f64 n #s(literal 100 binary64))
(*.f64 n (*.f64 i #s(literal 50 binary64)))
(*.f64 (*.f64 i n) #s(literal 50 binary64))
(*.f64 (*.f64 n #s(literal 50 binary64)) i)
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 n i) n))
(fma.f64 n #s(literal 100 binary64) (*.f64 i (*.f64 n #s(literal 50 binary64))))
(fma.f64 (*.f64 i #s(literal 50 binary64)) n (*.f64 n #s(literal 100 binary64)))
(fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64)) n))
(*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 i (*.f64 i (*.f64 (*.f64 n i) #s(literal 25/6 binary64))))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) n)) n)
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) i) #s(literal 0 binary64)) i)
(/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 i (fma.f64 #s(literal 100 binary64) (/.f64 n i) (*.f64 n #s(literal 50 binary64))))
(fma.f64 i (*.f64 n (fma.f64 i (*.f64 i #s(literal 25/6 binary64)) #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 n #s(literal 1/2 binary64))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 n i)))
(/.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal 2500 binary64) #s(literal -10000 binary64)) n) (fma.f64 i #s(literal 50 binary64) #s(literal -100 binary64)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 (*.f64 n i) (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64))))
(fma.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 n #s(literal 25/6 binary64) (*.f64 #s(literal 50/3 binary64) (/.f64 n i))))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 n #s(literal 25/6 binary64) (/.f64 (*.f64 n #s(literal 50/3 binary64)) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i #s(literal 1/2 binary64)) i) (/.f64 i n)))
(/.f64 (*.f64 (*.f64 i i) (fma.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 n #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 100/3 binary64))) n)
(fma.f64 i (fma.f64 i (fma.f64 (*.f64 n #s(literal 25/6 binary64)) i (*.f64 n #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n #s(literal 1 binary64)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 n (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n))) #s(literal 100 binary64)))
Outputs
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
Calls

1 calls:

11.0ms
n
Results
AccuracySegmentsBranch
68.3%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
(*.f64 n #s(literal 100 binary64))
(*.f64 n (*.f64 i #s(literal 50 binary64)))
(*.f64 (*.f64 i n) #s(literal 50 binary64))
(*.f64 (*.f64 n #s(literal 50 binary64)) i)
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 n i) n))
(fma.f64 n #s(literal 100 binary64) (*.f64 i (*.f64 n #s(literal 50 binary64))))
(fma.f64 (*.f64 i #s(literal 50 binary64)) n (*.f64 n #s(literal 100 binary64)))
(fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64)) n))
(*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 i (*.f64 i (*.f64 (*.f64 n i) #s(literal 25/6 binary64))))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) n)) n)
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) i) #s(literal 0 binary64)) i)
(/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 i (fma.f64 #s(literal 100 binary64) (/.f64 n i) (*.f64 n #s(literal 50 binary64))))
(fma.f64 i (*.f64 n (fma.f64 i (*.f64 i #s(literal 25/6 binary64)) #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i n) (*.f64 #s(literal 100 binary64) n))
Outputs
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
Calls

1 calls:

8.0ms
n
Results
AccuracySegmentsBranch
68.3%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
4.6MiB live, 4.6MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
(*.f64 n #s(literal 100 binary64))
(*.f64 n (*.f64 i #s(literal 50 binary64)))
(*.f64 (*.f64 i n) #s(literal 50 binary64))
(*.f64 (*.f64 n #s(literal 50 binary64)) i)
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 n i) n))
(fma.f64 n #s(literal 100 binary64) (*.f64 i (*.f64 n #s(literal 50 binary64))))
(fma.f64 (*.f64 i #s(literal 50 binary64)) n (*.f64 n #s(literal 100 binary64)))
(fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64)) n))
(*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 i (*.f64 i (*.f64 (*.f64 n i) #s(literal 25/6 binary64))))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) n)) n)
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n i #s(literal 0 binary64)) i))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) i) #s(literal 0 binary64)) i)
(/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
Outputs
(*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(/.f64 #s(literal 0 binary64) i)
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
Calls

1 calls:

6.0ms
n
Results
AccuracySegmentsBranch
66.8%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
(*.f64 n #s(literal 100 binary64))
(*.f64 n (*.f64 i #s(literal 50 binary64)))
(*.f64 (*.f64 i n) #s(literal 50 binary64))
(*.f64 (*.f64 n #s(literal 50 binary64)) i)
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 n i) n))
(fma.f64 n #s(literal 100 binary64) (*.f64 i (*.f64 n #s(literal 50 binary64))))
(fma.f64 (*.f64 i #s(literal 50 binary64)) n (*.f64 n #s(literal 100 binary64)))
(fma.f64 (*.f64 n i) #s(literal 50 binary64) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64)) n))
Outputs
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
Calls

2 calls:

3.0ms
n
3.0ms
i
Results
AccuracySegmentsBranch
63.5%3i
64.7%3n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 n #s(literal 100 binary64))
(*.f64 n (*.f64 i #s(literal 50 binary64)))
(*.f64 (*.f64 i n) #s(literal 50 binary64))
(*.f64 (*.f64 n #s(literal 50 binary64)) i)
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
Outputs
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
Calls

4 calls:

2.0ms
n
2.0ms
i
2.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
2.0ms
(*.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
56.1%1(*.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)))
56.1%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
56.1%1i
56.1%1n
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes7.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 n #s(literal 100 binary64))
(*.f64 n (*.f64 i #s(literal 50 binary64)))
(*.f64 (*.f64 i n) #s(literal 50 binary64))
(*.f64 (*.f64 n #s(literal 50 binary64)) i)
Outputs
(*.f64 n #s(literal 100 binary64))
(*.f64 n (*.f64 i #s(literal 50 binary64)))
Calls

4 calls:

2.0ms
i
2.0ms
n
2.0ms
(*.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)))
2.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
52.9%2(*.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)))
52.9%2(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
51.3%1n
54.8%2i
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes5.0ms (0%)

Memory
-34.6MiB live, 5.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 n #s(literal 100 binary64))
Outputs
(*.f64 n #s(literal 100 binary64))
Calls

4 calls:

1.0ms
(*.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)))
1.0ms
i
1.0ms
n
1.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
51.3%1n
51.3%1(*.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)))
51.3%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
51.3%1i
Compiler

Compiled 38 to 22 computations (42.1% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
0.0
1.4222323165916162e-250
0.0ms
-1.9239072341625886e-13
-3.729650802335462e-64
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch94.0ms (0.7%)

Memory
26.3MiB live, 26.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
43.0ms
1.0431498303030737e-33
1.480351392370458e-26
42.0ms
-6.5032821652079924e-285
1.7474867333845752e-306
Samples
31.0ms96×2valid
22.0ms149×1valid
12.0ms225×0invalid
4.0ms75×0valid
Compiler

Compiled 560 to 395 computations (29.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-pow: 24.0ms (44.7% of total)
ival-div: 11.0ms (20.5% of total)
adjust: 6.0ms (11.2% of total)
ival-sub: 4.0ms (7.4% of total)
ival-add: 4.0ms (7.4% of total)
ival-mult: 4.0ms (7.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch63.0ms (0.5%)

Memory
-22.0MiB live, 16.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.0431498303030737e-33
1.480351392370458e-26
39.0ms
1.0447014668033725e-147
5.131386696984887e-145
18.0ms
-3.212057840332185e-219
-1.8562357041581922e-219
Samples
19.0ms61×2valid
12.0ms87×1valid
8.0ms10×3valid
7.0ms124×0invalid
2.0ms34×0valid
Compiler

Compiled 555 to 390 computations (29.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-pow: 17.0ms (46.7% of total)
ival-div: 7.0ms (19.2% of total)
adjust: 4.0ms (11% of total)
ival-mult: 3.0ms (8.2% of total)
ival-add: 2.0ms (5.5% of total)
ival-sub: 2.0ms (5.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.0431498303030737e-33
1.480351392370458e-26
0.0ms
-3.212057840332185e-219
-1.8562357041581922e-219
Compiler

Compiled 319 to 236 computations (26% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.0431498303030737e-33
1.480351392370458e-26
0.0ms
-3.212057840332185e-219
-1.8562357041581922e-219
Compiler

Compiled 319 to 236 computations (26% saved)

bsearch43.0ms (0.3%)

Memory
10.3MiB live, 10.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.0431498303030737e-33
1.480351392370458e-26
0.0ms
-3.212057840332185e-219
-1.8562357041581922e-219
39.0ms
-4.298148920500913e-35
-6.220029422660052e-38
Samples
18.0ms45×2valid
13.0ms76×1valid
2.0ms38×0invalid
0.0ms0valid
Compiler

Compiled 495 to 364 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-pow: 16.0ms (56.3% of total)
ival-div: 4.0ms (14.1% of total)
adjust: 3.0ms (10.5% of total)
ival-mult: 2.0ms (7% of total)
ival-sub: 1.0ms (3.5% of total)
ival-add: 1.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch51.0ms (0.4%)

Memory
13.5MiB live, 13.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.0431498303030737e-33
1.480351392370458e-26
47.0ms
-3.735637770630302e-123
-4.834090768852307e-133
Samples
16.0ms48×2valid
14.0ms88×1valid
5.0ms88×0invalid
3.0ms3valid
1.0ms19×0valid
Compiler

Compiled 457 to 338 computations (26% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-pow: 16.0ms (50.6% of total)
ival-div: 6.0ms (19% of total)
adjust: 4.0ms (12.7% of total)
ival-add: 2.0ms (6.3% of total)
ival-sub: 2.0ms (6.3% of total)
ival-mult: 2.0ms (6.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch48.0ms (0.4%)

Memory
-26.5MiB live, 12.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.0431498303030737e-33
1.480351392370458e-26
44.0ms
-1.8199868539388589e-149
-5.652077852822417e-157
Samples
20.0ms54×2valid
11.0ms69×1valid
4.0ms83×0invalid
1.0ms21×0valid
Compiler

Compiled 560 to 411 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-pow: 13.0ms (43.4% of total)
ival-div: 7.0ms (23.3% of total)
adjust: 3.0ms (10% of total)
ival-add: 2.0ms (6.7% of total)
ival-mult: 2.0ms (6.7% of total)
ival-sub: 2.0ms (6.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.0431498303030737e-33
1.480351392370458e-26
1.0ms
-1.8199868539388589e-149
-5.652077852822417e-157
Compiler

Compiled 506 to 375 computations (25.9% saved)

bsearch2.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.0431498303030737e-33
1.480351392370458e-26
1.0ms
-1.8199868539388589e-149
-5.652077852822417e-157
Compiler

Compiled 398 to 303 computations (23.9% saved)

bsearch2.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.0431498303030737e-33
1.480351392370458e-26
1.0ms
-1.8199868539388589e-149
-5.652077852822417e-157
Compiler

Compiled 317 to 249 computations (21.5% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.0431498303030737e-33
1.480351392370458e-26
1.0ms
-1.8199868539388589e-149
-5.652077852822417e-157
Compiler

Compiled 290 to 231 computations (20.3% saved)

bsearch37.0ms (0.3%)

Memory
9.3MiB live, 9.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
34.0ms
5.645993441508085e+24
3.1675992987758613e+32
Samples
24.0ms116×1valid
2.0ms46×0invalid
2.0ms28×0valid
Compiler

Compiled 146 to 114 computations (21.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-pow: 12.0ms (53.3% of total)
ival-div: 4.0ms (17.8% of total)
adjust: 2.0ms (8.9% of total)
ival-add: 1.0ms (4.4% of total)
ival-sub: 1.0ms (4.4% of total)
ival-mult: 1.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify14.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated
Algorithm
egg-herbie
Rules
54×*-commutative_binary64
14×unsub-neg_binary64
12×+-commutative_binary64
10×sub-neg_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119514
1152514
2160514
3166514
4174514
5186514
Stop Event
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 -3961408125713217/39614081257132168796771975168 binary64)) (*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) 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 0 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) (*.f64 n #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -536550252699125/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n) (if (<=.f64 n #s(literal 1304685000417527/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) (/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) n)) n) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64))))))
(if (<=.f64 n #s(literal -536550252699125/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -536550252699125/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)))
(if (<=.f64 n #s(literal -496910556692507/11692013098647223345629478661730264157247460343808 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (if (<=.f64 n #s(literal -536550252699125/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568 binary64)) (*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)))))
(if (<=.f64 n #s(literal -2896982654693241/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))))
(if (<=.f64 n #s(literal -599003316067675/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n))) (*.f64 (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) i) (*.f64 n #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -599003316067675/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n))) (*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -599003316067675/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (/.f64 #s(literal 0 binary64) i) (*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -599003316067675/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (/.f64 #s(literal 0 binary64) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -599003316067675/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (/.f64 #s(literal 0 binary64) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(if (<=.f64 i #s(literal 95000000000000005385486336 binary64)) (*.f64 n #s(literal 100 binary64)) (*.f64 n (*.f64 i #s(literal 50 binary64))))
(*.f64 n #s(literal 100 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 -3961408125713217/39614081257132168796771975168 binary64)) (*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) 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 0 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) (*.f64 n #s(literal 100 binary64)))))
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 i n)) #s(literal -3961408125713217/39614081257132168796771975168 binary64)) (*.f64 n (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i)) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 i n)) #s(literal 0 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) (*.f64 n #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))))
(if (<=.f64 n #s(literal -536550252699125/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n) (if (<=.f64 n #s(literal 1304685000417527/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) (/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) n)) n) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64))))))
(if (<=.f64 n #s(literal -536550252699125/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568 binary64)) (*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))) (if (<=.f64 n #s(literal 1304685000417527/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) (/.f64 (*.f64 n (*.f64 n #s(literal 100 binary64))) n) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i)))))
(if (<=.f64 n #s(literal -536550252699125/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n))) (*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -536550252699125/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568 binary64)) (*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))))
(if (<=.f64 n #s(literal -536550252699125/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n)))
(if (<=.f64 n #s(literal -536550252699125/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568 binary64)) (*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 i n))) (*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))
(if (<=.f64 n #s(literal -496910556692507/11692013098647223345629478661730264157247460343808 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (if (<=.f64 n #s(literal -536550252699125/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568 binary64)) (*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)))))
(if (<=.f64 n #s(literal -496910556692507/11692013098647223345629478661730264157247460343808 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (if (<=.f64 n #s(literal -536550252699125/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568 binary64)) (*.f64 (expm1.f64 i) (*.f64 #s(literal 100 binary64) (/.f64 n i))) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 i n))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)))))
(if (<=.f64 n #s(literal -2896982654693241/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))))
(if (<=.f64 n #s(literal -2896982654693241/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 i n))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))))
(if (<=.f64 n #s(literal -599003316067675/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n))) (*.f64 (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) i) (*.f64 n #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -599003316067675/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) i))))
(if (<=.f64 n #s(literal -599003316067675/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n))) (*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -599003316067675/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 i n))) (*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -599003316067675/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (/.f64 #s(literal 0 binary64) i) (*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -599003316067675/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (/.f64 #s(literal 0 binary64) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -599003316067675/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (/.f64 #s(literal 0 binary64) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -599003316067675/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) (if (<=.f64 n #s(literal 191822089899681/182687704666362864775460604089535377456991567872 binary64)) (/.f64 #s(literal 0 binary64) i) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(if (<=.f64 i #s(literal 95000000000000005385486336 binary64)) (*.f64 n #s(literal 100 binary64)) (*.f64 n (*.f64 i #s(literal 50 binary64))))
(*.f64 n #s(literal 100 binary64))

soundness1.3s (10.2%)

Memory
-28.5MiB live, 59.0MiB allocated
Rules
12 396×lower-fma.f64
12 396×lower-fma.f32
11 188×lower-fma.f64
11 188×lower-fma.f32
11 006×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08077474
126497015
084736325
037192
070192
1308192
22822192
08584187
035185
071179
1295176
22208176
08734173
05153831
116243489
255233268
081372980
01044
01644
17344
257044
3735444
0866938
0108410127
136049256
084288458
0103510130
132949396
081078659
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 110 to 543 computations (51.1% saved)

preprocess85.0ms (0.7%)

Memory
33.7MiB live, 72.3MiB allocated
Compiler

Compiled 1 150 to 294 computations (74.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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