Compound Interest

Time bar (total: 13.9s)

analyze306.0ms (2.2%)

Memory
2.7MiB live, 238.8MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
12.5%12.5%87.4%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
39.1%39%60.9%0.1%0%0%0%7
44.5%44.5%55.4%0.1%0%0%0%8
55.3%55%44.5%0.1%0%0.4%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)

sample4.4s (31.5%)

Memory
47.9MiB live, 4 811.8MiB allocated
Samples
2.1s4 491×1valid
1.2s1 601×2valid
255.0ms2 108×0valid
169.0ms2 006×0invalid
50.0ms56×3valid
3.0ms15×1exit
Precisions
Click to see histograms. Total time spent on operations: 3.3s
ival-pow: 2.2s (68.3% of total)
ival-div: 396.0ms (12.1% of total)
adjust: 229.0ms (7% of total)
ival-sub: 157.0ms (4.8% of total)
ival-mult: 125.0ms (3.8% of total)
ival-add: 113.0ms (3.4% of total)
exact: 10.0ms (0.3% of total)
ival-true: 8.0ms (0.2% of total)
ival-assert: 4.0ms (0.1% of total)
Bogosity

preprocess207.0ms (1.5%)

Memory
-49.2MiB live, 244.6MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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)))

explain338.0ms (2.4%)

Memory
9.6MiB live, 518.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1770-0-(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
6780(3.143160455878046e-185 835099482085.732)0-(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
370-4(-5.522841834648705e-18 -3.174212327176541e+299)(/.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))cancellation1771
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)sensitivity1200
/.f64(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))n/u330
↳(/.f64 i n)underflow33
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)oflow-rescue270
↳(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)overflow34
↳(/.f64 i n)overflow27
↳(+.f64 #s(literal 1 binary64) (/.f64 i n))overflow27
Confusion
Predicted +Predicted -
+1880
-2345
Precision
0.8909952606635071
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+18800
-23144
Precision?
0.8867924528301887
Recall?
1.0
Freqs
test
numberfreq
045
198
280
333
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
111.0ms276×1valid
68.0ms136×2valid
12.0ms100×0valid
Compiler

Compiled 150 to 44 computations (70.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 164.0ms
ival-pow: 114.0ms (69.7% of total)
ival-div: 18.0ms (11% of total)
adjust: 11.0ms (6.7% of total)
ival-sub: 8.0ms (4.9% of total)
ival-mult: 6.0ms (3.7% of total)
ival-add: 5.0ms (3.1% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶28.2%
(*.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)

simplify158.0ms (1.1%)

Memory
4.3MiB live, 164.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓cost-diff0
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
✓cost-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
1×iter limit
1×saturated
1×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

localize135.0ms (1%)

Memory
-1.5MiB live, 157.4MiB 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)))
✓accuracy87.0%
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
✓accuracy76.0%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓accuracy36.1%
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
Samples
41.0ms138×1valid
31.0ms68×2valid
9.0ms50×0valid
Compiler

Compiled 58 to 12 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-pow: 41.0ms (60% of total)
ival-div: 8.0ms (11.7% of total)
ival-add: 7.0ms (10.2% of total)
adjust: 5.0ms (7.3% of total)
ival-sub: 4.0ms (5.9% of total)
ival-mult: 3.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
-4.7MiB live, 35.3MiB 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
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
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))

rewrite319.0ms (2.3%)

Memory
25.7MiB live, 431.4MiB allocated
Algorithm
1×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
1×iter limit
1×node limit
1×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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(*.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n 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 (*.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))))

simplify423.0ms (3%)

Memory
-18.1MiB live, 616.4MiB allocated
Algorithm
1×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
1×iter limit
1×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))

eval72.0ms (0.5%)

Memory
28.6MiB live, 143.8MiB allocated
Compiler

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

prune142.0ms (1%)

Memory
-13.0MiB live, 178.1MiB allocated
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New57022592
Fresh000
Picked101
Done000
Total57122593
Accuracy
100.0%
Counts
593 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶28.2%
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n))
28.6%
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
▶73.9%
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
10.5%
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.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))
28.6%
(*.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)
28.6%
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
▶49.7%
(*.f64 n #s(literal 100 binary64))
26.2%
(*.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)))
25.7%
(*.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)))
54.4%
(*.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))
41.4%
(*.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)))
43.3%
(*.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)))
11.6%
(*.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)))
▶10.9%
(*.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)))
16.4%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
16.8%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
10.0%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
74.4%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
▶76.4%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
66.2%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
10.5%
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
Compiler

Compiled 736 to 486 computations (34% saved)

simplify243.0ms (1.7%)

Memory
3.9MiB live, 400.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 i n))
✓cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓cost-diff0
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64))
✓cost-diff384
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n))
✓cost-diff0
(expm1.f64 i)
✓cost-diff0
(*.f64 n (expm1.f64 i))
✓cost-diff0
(*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64))
✓cost-diff0
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
✓cost-diff0
(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))
✓cost-diff0
(*.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)))
✓cost-diff256
(-.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))
✓cost-diff1408
(/.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))
✓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
6 350×lower-fma.f32
6 344×lower-fma.f64
2 700×lower--.f32
2 696×lower--.f64
2 418×lower-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028203
055199
1106192
2226192
3633184
42099184
54285184
08110184
Stop Event
1×iter limit
1×node limit
1×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) (/.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)))
#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 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))
(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))
i
(fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 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)
n
#s(literal 1 binary64)
(/.f64 i n)
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64))
(*.f64 n (expm1.f64 i))
n
(expm1.f64 i)
i
#s(literal 100 binary64)
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 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
#s(literal 100 binary64)
#s(literal -100 binary64)
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 (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 n #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) n)
n
#s(literal 100 binary64)
(*.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 n (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64))))
#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 n (fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64)))
(-.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))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 i i) i)
(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))
(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))
i
(fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))
(fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(+.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)
n
#s(literal 1 binary64)
(/.f64 i n)
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i)))
(*.f64 n (expm1.f64 i))
n
(expm1.f64 i)
i
#s(literal 100 binary64)
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.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))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64))
(fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 binary64))
(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)
i
n
#s(literal 100 binary64)
#s(literal -100 binary64)

localize244.0ms (1.8%)

Memory
7.8MiB live, 278.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 i n))
✓accuracy87.3%
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n))
✓accuracy76.0%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓accuracy36.5%
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64))
✓accuracy100.0%
(expm1.f64 i)
✓accuracy100.0%
(*.f64 n (expm1.f64 i))
✓accuracy99.8%
(*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64))
✓accuracy93.1%
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
✓accuracy100.0%
(fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))
✓accuracy99.9%
(*.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)))
✓accuracy72.0%
(/.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))
✓accuracy53.8%
(-.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))
✓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)))
✓accuracy89.8%
(log1p.f64 (/.f64 i n))
✓accuracy87.4%
(*.f64 n (log1p.f64 (/.f64 i n)))
✓accuracy87.3%
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
Samples
108.0ms125×1valid
72.0ms79×2valid
9.0ms37×0valid
3.0ms13×0invalid
2.0ms1×5exit
1.0ms1×3valid
Compiler

Compiled 240 to 33 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 140.0ms
ival-pow: 45.0ms (32.1% of total)
adjust: 34.0ms (24.2% of total)
ival-mult: 21.0ms (15% of total)
ival-div: 17.0ms (12.1% of total)
ival-add: 9.0ms (6.4% of total)
ival-expm1: 5.0ms (3.6% of total)
ival-log1p: 5.0ms (3.6% of total)
ival-sub: 4.0ms (2.9% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series47.0ms (0.3%)

Memory
-25.9MiB live, 79.1MiB allocated
Counts
19 → 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))>
#<alt (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))>
#<alt (*.f64 n (log1p.f64 (/.f64 i n)))>
#<alt (*.f64 n #s(literal 100 binary64))>
#<alt (/.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))>
#<alt (-.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))>
#<alt (*.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)))>
#<alt (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))>
#<alt (/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)>
#<alt (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64))>
#<alt (*.f64 n (expm1.f64 i))>
#<alt (expm1.f64 i)>
#<alt (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n))>
#<alt (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64))>
#<alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 i n))>
#<alt (log1p.f64 (/.f64 i n))>
#<alt (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))>
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 (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))>
#<alt 1>
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#<alt (exp i)>
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#<alt (exp i)>
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#<alt 1>
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#<alt (* i (+ (/ 1 i) (/ 1 n)))>
#<alt (* i (+ (/ 1 i) (/ 1 n)))>
#<alt (/ i n)>
#<alt (/ (+ i n) n)>
#<alt (/ (+ i n) n)>
#<alt (/ (+ i n) n)>
#<alt 1>
#<alt (+ 1 (/ i n))>
#<alt (+ 1 (/ i n))>
#<alt (+ 1 (/ i n))>
#<alt 1>
#<alt (+ 1 (/ i n))>
#<alt (+ 1 (/ i n))>
#<alt (+ 1 (/ 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>
#<alt (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))>
#<alt (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))>
#<alt (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))>
#<alt (* i (- 1/2 (* 1/2 (/ 1 n))))>
#<alt (* i (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))>
#<alt (* i (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))>
#<alt (* i (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))>
#<alt (* i (- 1/2 (* 1/2 (/ 1 n))))>
#<alt (* -1 (* i (- (* -1 (- 1/2 (* 1/2 (/ 1 n)))) (/ 1 i))))>
#<alt (* -1 (* i (- (* -1 (- 1/2 (* 1/2 (/ 1 n)))) (/ 1 i))))>
#<alt (* -1 (* i (- (* -1 (- 1/2 (* 1/2 (/ 1 n)))) (/ 1 i))))>
#<alt (* -1/2 (/ i n))>
#<alt (/ (+ (* -1/2 i) (* n (+ 1 (* 1/2 i)))) n)>
#<alt (/ (+ (* -1/2 i) (* n (+ 1 (* 1/2 i)))) n)>
#<alt (/ (+ (* -1/2 i) (* n (+ 1 (* 1/2 i)))) n)>
#<alt (+ 1 (* 1/2 i))>
#<alt (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))>
#<alt (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))>
#<alt (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))>
#<alt (+ 1 (* 1/2 i))>
#<alt (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))>
#<alt (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))>
#<alt (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))>
Calls

108 calls:

TimeVariablePointExpression
5.0ms
i
@-inf
(/ (* (* n (- (exp i) 1)) 100) i)
5.0ms
i
@-inf
(log (+ 1 (/ i n)))
3.0ms
i
@inf
(/ (- (+ (* i (+ (* i (- 1/2 (/ 1/2 n))) 1)) 1) 1) (/ i n))
1.0ms
n
@0
(/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (/ i n))
1.0ms
i
@-inf
(/ (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (/ i n))

rewrite369.0ms (2.7%)

Memory
17.0MiB live, 486.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 172×lower-/.f32
5 160×lower-/.f64
4 980×lower-*.f32
4 968×lower-*.f64
2 830×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028168
055164
1240157
21897157
08598157
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 916
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))
(/.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 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 #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)))
(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))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64))
(*.f64 n (expm1.f64 i))
(expm1.f64 i)
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(log1p.f64 (/.f64 i n))
(fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))
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) (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))
(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) (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)))) #s(literal -1 binary64))
(fma.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)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.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 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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)) (+.f64 n n)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64))) #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 #s(literal 3 binary64))) #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 #s(literal -1 binary64) (neg.f64 (/.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 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.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)) (+.f64 n n)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #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 n)) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.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 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.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 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal -1 binary64))) (neg.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))))
(/.f64 (-.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 (+.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))) #s(literal 1 binary64))) (*.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 (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 (*.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) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)))) (neg.f64 (neg.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 (neg.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))))
(pow.f64 (/.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 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.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)) (+.f64 n n)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64))) #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) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))))
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(/.f64 (neg.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 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))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i)) #s(literal -1 binary64))) (neg.f64 (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))) (-.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))
(/.f64 (-.f64 (*.f64 (*.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64))) (*.f64 (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64)) (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 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)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) #s(literal 1 binary64)) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) #s(literal 1 binary64)) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 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))
(pow.f64 (/.f64 (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) #s(literal 1 binary64)) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64))))

simplify480.0ms (3.5%)

Memory
7.2MiB live, 566.6MiB allocated
Algorithm
1×egg-herbie
Rules
10 864×lower-fma.f64
10 864×lower-fma.f32
6 806×lower-+.f64
6 806×lower-+.f32
6 586×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09779075
131498442
086187655
Stop Event
1×iter limit
1×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))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))
(* 100 n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))
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(- (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (exp i))) 100)
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (exp i))) 100)
1
(+ 1 i)
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))
1
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
1
(+ 1 (/ i n))
(+ 1 (/ i n))
(+ 1 (/ i n))
(/ i n)
(* i (+ (/ 1 i) (/ 1 n)))
(* i (+ (/ 1 i) (/ 1 n)))
(* i (+ (/ 1 i) (/ 1 n)))
(/ i n)
(* i (+ (/ 1 i) (/ 1 n)))
(* i (+ (/ 1 i) (/ 1 n)))
(* i (+ (/ 1 i) (/ 1 n)))
(/ i n)
(/ (+ i n) n)
(/ (+ i n) n)
(/ (+ i n) n)
1
(+ 1 (/ i n))
(+ 1 (/ i n))
(+ 1 (/ i n))
1
(+ 1 (/ i n))
(+ 1 (/ i n))
(+ 1 (/ i n))
(/ i n)
(* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))
(* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))
(* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))
(+ (log (/ 1 n)) (* -1 (log (/ 1 i))))
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (/ n i)))
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (/ n i))))
(+ (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)))))
(+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))
(+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (/ n i)))
(+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (* -1 (/ (+ (* -1 n) (* 1/2 (/ (pow n 2) i))) 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))))
(+ (log i) (* -1 (log n)))
(+ (log i) (+ (* -1 (log n)) (/ n i)))
(+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i)))))
(+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))
(/ i n)
(/ (+ i (* -1/2 (/ (pow i 2) n))) n)
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)
(/ i n)
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))
1
(+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))
(+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))
(+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))
(* i (- 1/2 (* 1/2 (/ 1 n))))
(* i (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))
(* i (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))
(* i (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))
(* i (- 1/2 (* 1/2 (/ 1 n))))
(* -1 (* i (- (* -1 (- 1/2 (* 1/2 (/ 1 n)))) (/ 1 i))))
(* -1 (* i (- (* -1 (- 1/2 (* 1/2 (/ 1 n)))) (/ 1 i))))
(* -1 (* i (- (* -1 (- 1/2 (* 1/2 (/ 1 n)))) (/ 1 i))))
(* -1/2 (/ i n))
(/ (+ (* -1/2 i) (* n (+ 1 (* 1/2 i)))) n)
(/ (+ (* -1/2 i) (* n (+ 1 (* 1/2 i)))) n)
(/ (+ (* -1/2 i) (* n (+ 1 (* 1/2 i)))) n)
(+ 1 (* 1/2 i))
(+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))
(+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))
(+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))
(+ 1 (* 1/2 i))
(+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))
(+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))
(+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))
Outputs
(* n (+ (log i) (* -1 (log n))))
(*.f64 n (-.f64 (log.f64 i) (log.f64 n)))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))
(*.f64 n (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))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))
(*.f64 n (fma.f64 n (fma.f64 n (+.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 (log.f64 i) i)) (/.f64 (log.f64 n) i)) (/.f64 #s(literal -1/2 binary64) (*.f64 i i))) (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))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))
(*.f64 n (fma.f64 n (fma.f64 n (+.f64 (-.f64 (fma.f64 n (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 4 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) (/.f64 #s(literal 1/2 binary64) (*.f64 i i)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 (log.f64 i) i))) (/.f64 (log.f64 n) i)) (/.f64 #s(literal -1/2 binary64) (*.f64 i i))) (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))))
(- (exp i) 1)
(expm1.f64 i)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (expm1.f64 i))
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)
(+.f64 (fma.f64 (exp.f64 i) (/.f64 (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 n n)) (*.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) (/.f64 (exp.f64 i) n))) (expm1.f64 i))
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)
(+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (*.f64 (exp.f64 i) (+.f64 (/.f64 (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 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)))))) (expm1.f64 i))
(- (exp i) 1)
(expm1.f64 i)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (expm1.f64 i))
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
(+.f64 (/.f64 (fma.f64 (neg.f64 (exp.f64 i)) (/.f64 (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)))) n) (*.f64 (*.f64 i (*.f64 i #s(literal 1/2 binary64))) (exp.f64 i))) (neg.f64 n)) (expm1.f64 i))
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
(+.f64 (/.f64 (-.f64 (*.f64 (*.f64 i (*.f64 i #s(literal 1/2 binary64))) (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 (neg.f64 (exp.f64 i)) (/.f64 (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)) (neg.f64 n)) (expm1.f64 i))
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(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)
(* 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))))))
(fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (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) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i)
(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)
(expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)
(fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)
(+.f64 (fma.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 n) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i)) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1)
(+.f64 (fma.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (/.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 (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 n) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i)) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)
(expm1.f64 (*.f64 n (-.f64 (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)) 1)
(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) (expm1.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))) 1)
(+.f64 (/.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) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 n (*.f64 n n)))) i)))) (neg.f64 i)) (expm1.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 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) 1)
(+.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 n n) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (-.f64 (*.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)))) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (*.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)))))) i)) i))) (neg.f64 i)) (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))))
(/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)
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(fma.f64 (exp.f64 i) (+.f64 (/.f64 (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 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)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (exp.f64 i)))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (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 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)) (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)))) n) (*.f64 (*.f64 i (*.f64 i #s(literal 1/2 binary64))) (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 (*.f64 i (*.f64 i #s(literal 1/2 binary64))) (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 (neg.f64 (exp.f64 i)) (/.f64 (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))
1
#s(literal 1 binary64)
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(/ i n)
(/.f64 i n)
(* i (+ (/ 1 i) (/ 1 n)))
(fma.f64 i (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(* i (+ (/ 1 i) (/ 1 n)))
(fma.f64 i (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(* i (+ (/ 1 i) (/ 1 n)))
(fma.f64 i (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(/ i n)
(/.f64 i n)
(* i (+ (/ 1 i) (/ 1 n)))
(fma.f64 i (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(* i (+ (/ 1 i) (/ 1 n)))
(fma.f64 i (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(* i (+ (/ 1 i) (/ 1 n)))
(fma.f64 i (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(/ i n)
(/.f64 i n)
(/ (+ i n) n)
(/.f64 (+.f64 n i) n)
(/ (+ i n) n)
(/.f64 (+.f64 n i) n)
(/ (+ i n) n)
(/.f64 (+.f64 n i) n)
1
#s(literal 1 binary64)
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
1
#s(literal 1 binary64)
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(/ i n)
(/.f64 i n)
(* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))
(*.f64 i (fma.f64 #s(literal -1/2 binary64) (/.f64 i (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)))
(* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))
(*.f64 i (fma.f64 i (fma.f64 #s(literal 1/3 binary64) (/.f64 i (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)))
(* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))
(*.f64 i (fma.f64 i (fma.f64 i (fma.f64 #s(literal -1/4 binary64) (/.f64 i (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)))
(+ (log (/ 1 n)) (* -1 (log (/ 1 i))))
(-.f64 (log.f64 i) (log.f64 n))
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (/ n i)))
(+.f64 (log.f64 i) (-.f64 (/.f64 n i) (log.f64 n)))
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (/ n i))))
(+.f64 (-.f64 (log.f64 i) (log.f64 n)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 n i)))
(+ (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 #s(literal 1/3 binary64) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 n 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 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 n n) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 n n))) i)) (neg.f64 i)) n) 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 #s(literal 1/3 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n n)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n) i)) n)
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)
(/.f64 (+.f64 i (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 n (*.f64 n n))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))) (*.f64 n n))))) n)
(/ i n)
(/.f64 i n)
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 i i) n) (neg.f64 i)) (neg.f64 n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))
(/.f64 (-.f64 (neg.f64 i) (/.f64 (fma.f64 (*.f64 i i) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))) n)) n)) (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))
(neg.f64 (/.f64 (-.f64 (neg.f64 i) (/.f64 (-.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (*.f64 i (*.f64 i i)) #s(literal -1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 i #s(literal 4 binary64)) n))) n)) n)) n))
1
#s(literal 1 binary64)
(+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))
(fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))
(+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))
(fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))
(+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))
(fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))
(* i (- 1/2 (* 1/2 (/ 1 n))))
(*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(* i (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))
(*.f64 i (+.f64 (/.f64 #s(literal 1 binary64) i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))
(* i (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))
(*.f64 i (+.f64 (/.f64 #s(literal 1 binary64) i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))
(* i (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))
(*.f64 i (+.f64 (/.f64 #s(literal 1 binary64) i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))
(* i (- 1/2 (* 1/2 (/ 1 n))))
(*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(* -1 (* i (- (* -1 (- 1/2 (* 1/2 (/ 1 n)))) (/ 1 i))))
(neg.f64 (*.f64 i (+.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 #s(literal -1 binary64) i))))
(* -1 (* i (- (* -1 (- 1/2 (* 1/2 (/ 1 n)))) (/ 1 i))))
(neg.f64 (*.f64 i (+.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 #s(literal -1 binary64) i))))
(* -1 (* i (- (* -1 (- 1/2 (* 1/2 (/ 1 n)))) (/ 1 i))))
(neg.f64 (*.f64 i (+.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 #s(literal -1 binary64) i))))
(* -1/2 (/ i n))
(/.f64 (*.f64 i #s(literal -1/2 binary64)) n)
(/ (+ (* -1/2 i) (* n (+ 1 (* 1/2 i)))) n)
(/.f64 (fma.f64 n (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 i #s(literal -1/2 binary64))) n)
(/ (+ (* -1/2 i) (* n (+ 1 (* 1/2 i)))) n)
(/.f64 (fma.f64 n (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 i #s(literal -1/2 binary64))) n)
(/ (+ (* -1/2 i) (* n (+ 1 (* 1/2 i)))) n)
(/.f64 (fma.f64 n (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 i #s(literal -1/2 binary64))) n)
(+ 1 (* 1/2 i))
(fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+ 1 (* 1/2 i))
(fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)))

eval175.0ms (1.3%)

Memory
27.9MiB live, 339.6MiB allocated
Compiler

Compiled 37 797 to 4 056 computations (89.3% saved)

prune185.0ms (1.3%)

Memory
-1.1MiB live, 421.8MiB allocated
Pruning

36 alts after pruning (33 fresh and 3 done)

PrunedKeptTotal
New1 312281 340
Fresh12517
Picked235
Done000
Total1 326361 362
Accuracy
100.0%
Counts
1 362 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.2%
(fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (*.f64 (*.f64 i i) (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))))
56.1%
(fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
57.3%
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
16.8%
(/.f64 (fma.f64 #s(literal 1 binary64) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n))
28.3%
(/.f64 (+.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -100 binary64)) (/.f64 i n))
28.6%
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
56.2%
(/.f64 (*.f64 (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) #s(literal 100 binary64)) i)
✓73.9%
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
50.7%
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
10.5%
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)
10.0%
(/.f64 (*.f64 n (*.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 100 binary64))) (/.f64 i n))
43.2%
(/.f64 (*.f64 i (fma.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 100 binary64)) #s(literal 100 binary64))) (/.f64 i n))
▶53.6%
(/.f64 (*.f64 i (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))) i)
50.8%
(/.f64 (*.f64 i (*.f64 n #s(literal 100 binary64))) i)
46.6%
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
▶55.8%
(/.f64 (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i) i)) (/.f64 #s(literal 1 binary64) n))
66.1%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 i n))
73.8%
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i)))))
▶28.6%
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
74.4%
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) #s(literal 100 binary64))
74.3%
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (expm1.f64 i)))
56.1%
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
▶79.1%
(*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))
✓49.7%
(*.f64 n #s(literal 100 binary64))
▶2.7%
(*.f64 i #s(literal -50 binary64))
26.2%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (neg.f64 (/.f64 n i))))
56.1%
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n))
44.1%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i)) #s(literal -1 binary64)) i) (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64))) (/.f64 i n)))
2.9%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) (/.f64 i n)))
7.2%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
16.4%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
10.0%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
✓76.4%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
10.5%
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
74.4%
(*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i)))
10.5%
(*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
Compiler

Compiled 950 to 632 computations (33.5% saved)

simplify328.0ms (2.4%)

Memory
-25.9MiB live, 360.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
✓cost-diff0
(+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))
✓cost-diff0
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i)
✓cost-diff128
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
✓cost-diff0
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i)
✓cost-diff320
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i) i))
✓cost-diff1024
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i) i)
✓cost-diff1088
(/.f64 (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i) i)) (/.f64 #s(literal 1 binary64) n))
✓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-diff0
(*.f64 i (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))
✓cost-diff1024
(/.f64 (*.f64 i (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))) i)
✓cost-diff0
(*.f64 i #s(literal -50 binary64))
✓cost-diff0
(expm1.f64 i)
✓cost-diff0
(/.f64 (expm1.f64 i) i)
✓cost-diff0
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
✓cost-diff0
(*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))
Rules
7 692×lower-fma.f32
7 688×lower-fma.f64
3 842×lower-*.f32
3 824×lower-*.f64
2 036×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032191
059195
1106193
2232186
3501176
41310172
53767172
65791172
08129168
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))
n
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
#s(literal 100 binary64)
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
i
(*.f64 i #s(literal -50 binary64))
i
#s(literal -50 binary64)
(/.f64 (*.f64 i (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))) i)
(*.f64 i (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))
i
(*.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)
#s(literal 100 binary64)
(/.f64 (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i) i)) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i) i))
#s(literal 100 binary64)
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i) i)
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i)
(-.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)
n
(*.f64 i i)
i
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i)
(+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(/.f64 i n)
i
n
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 n #s(literal 100 binary64))
#s(literal 100 binary64)
Outputs
(*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
n
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
#s(literal 100 binary64)
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
i
(*.f64 i #s(literal -50 binary64))
i
#s(literal -50 binary64)
(/.f64 (*.f64 i (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))) i)
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(*.f64 i (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))
(*.f64 (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 n i))
i
(*.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)
#s(literal 100 binary64)
(/.f64 (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i) i)) (/.f64 #s(literal 1 binary64) n))
(*.f64 n (fma.f64 i (+.f64 #s(literal 50 binary64) (/.f64 #s(literal -50 binary64) n)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i) i))
(fma.f64 i (+.f64 #s(literal 50 binary64) (/.f64 #s(literal -50 binary64) n)) #s(literal 100 binary64))
#s(literal 100 binary64)
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i) i)
(fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i)
(fma.f64 i (*.f64 #s(literal 1/2 binary64) (-.f64 i (/.f64 i n))) i)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(+.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)
n
(*.f64 i i)
i
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64)) (/.f64 n i))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i)
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i)
(+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))
(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)
i
n
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 n #s(literal 100 binary64))
#s(literal 100 binary64)

localize199.0ms (1.4%)

Memory
-4.5MiB live, 232.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i)
✓accuracy99.5%
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
✓accuracy76.0%
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
✓accuracy36.1%
(+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))
✓accuracy99.9%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i) i))
✓accuracy99.0%
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i)
✓accuracy89.5%
(/.f64 (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i) i)) (/.f64 #s(literal 1 binary64) n))
✓accuracy82.5%
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i) i)
✓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)))
✓accuracy99.8%
(*.f64 i (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))
✓accuracy81.8%
(/.f64 (*.f64 i (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))) i)
✓accuracy100.0%
(*.f64 i #s(literal -50 binary64))
✓accuracy100.0%
(expm1.f64 i)
✓accuracy100.0%
(/.f64 (expm1.f64 i) i)
✓accuracy99.9%
(*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))
✓accuracy99.8%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
Samples
92.0ms139×1valid
49.0ms69×2valid
11.0ms48×0valid
Compiler

Compiled 209 to 36 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 120.0ms
ival-pow: 39.0ms (32.6% of total)
ival-div: 21.0ms (17.6% of total)
ival-mult: 19.0ms (15.9% of total)
ival-expm1: 18.0ms (15.1% of total)
adjust: 13.0ms (10.9% of total)
ival-add: 8.0ms (6.7% of total)
ival-sub: 2.0ms (1.7% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory
-3.7MiB live, 33.3MiB allocated
Counts
17 → 348
Calls
Call 1
Inputs
#<alt (*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))>
#<alt (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))>
#<alt (/.f64 (expm1.f64 i) i)>
#<alt (expm1.f64 i)>
#<alt (*.f64 i #s(literal -50 binary64))>
#<alt (/.f64 (*.f64 i (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))) i)>
#<alt (*.f64 i (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))))>
#<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 (/.f64 (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i) i)) (/.f64 #s(literal 1 binary64) n))>
#<alt (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i) i)>
#<alt (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i) i))>
#<alt (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i)>
#<alt (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))>
#<alt (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i)>
#<alt (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))>
#<alt (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)>
Outputs
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 n)>
#<alt (+ (* 50 (* i n)) (* 100 n))>
#<alt (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))>
#<alt (+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt 100>
#<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)>
#<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 (+ (* 50 (* i n)) (* 100 n))>
#<alt (+ (* 50 (* i n)) (* 100 n))>
#<alt (* 50 (* i n))>
#<alt (* i (+ (* 50 n) (* 100 (/ n i))))>
#<alt (* i (+ (* 50 n) (* 100 (/ n i))))>
#<alt (* i (+ (* 50 n) (* 100 (/ n i))))>
#<alt (* 50 (* i n))>
#<alt (* -1 (* i (+ (* -100 (/ n i)) (* -50 n))))>
#<alt (* -1 (* i (+ (* -100 (/ n i)) (* -50 n))))>
#<alt (* -1 (* i (+ (* -100 (/ n i)) (* -50 n))))>
#<alt (* n (+ 100 (* 50 i)))>
#<alt (* n (+ 100 (* 50 i)))>
#<alt (* n (+ 100 (* 50 i)))>
#<alt (* n (+ 100 (* 50 i)))>
#<alt (* n (+ 100 (* 50 i)))>
#<alt (* n (+ 100 (* 50 i)))>
#<alt (* n (+ 100 (* 50 i)))>
#<alt (* n (+ 100 (* 50 i)))>
#<alt (* n (+ 100 (* 50 i)))>
#<alt (* n (+ 100 (* 50 i)))>
#<alt (* n (+ 100 (* 50 i)))>
#<alt (* n (+ 100 (* 50 i)))>
#<alt (* 100 (* i n))>
#<alt (* i (+ (* 50 (* i n)) (* 100 n)))>
#<alt (* i (+ (* 50 (* i n)) (* 100 n)))>
#<alt (* i (+ (* 50 (* i n)) (* 100 n)))>
#<alt (* 50 (* (pow i 2) n))>
#<alt (* (pow i 2) (+ (* 50 n) (* 100 (/ n i))))>
#<alt (* (pow i 2) (+ (* 50 n) (* 100 (/ n i))))>
#<alt (* (pow i 2) (+ (* 50 n) (* 100 (/ n i))))>
#<alt (* 50 (* (pow i 2) n))>
#<alt (* (pow i 2) (+ (* 50 n) (* 100 (/ n i))))>
#<alt (* (pow i 2) (+ (* 50 n) (* 100 (/ n i))))>
#<alt (* (pow i 2) (+ (* 50 n) (* 100 (/ n i))))>
#<alt (* i (* n (+ 100 (* 50 i))))>
#<alt (* i (* n (+ 100 (* 50 i))))>
#<alt (* i (* n (+ 100 (* 50 i))))>
#<alt (* i (* n (+ 100 (* 50 i))))>
#<alt (* i (* n (+ 100 (* 50 i))))>
#<alt (* i (* n (+ 100 (* 50 i))))>
#<alt (* i (* n (+ 100 (* 50 i))))>
#<alt (* i (* n (+ 100 (* 50 i))))>
#<alt (* i (* n (+ 100 (* 50 i))))>
#<alt (* i (* n (+ 100 (* 50 i))))>
#<alt (* i (* n (+ 100 (* 50 i))))>
#<alt (* i (* n (+ 100 (* 50 i))))>
#<alt (* n (+ 100 (* 50 i)))>
#<alt (* n (+ 100 (* 50 i)))>
#<alt (* n (+ 100 (* 50 i)))>
#<alt (* n (+ 100 (* 50 i)))>
#<alt (* n (+ 100 (* 50 i)))>
#<alt (* n (+ 100 (* 50 i)))>
#<alt (* n (+ 100 (* 50 i)))>
#<alt (* n (+ 100 (* 50 i)))>
#<alt (* n (+ 100 (* 50 i)))>
#<alt (* n (+ 100 (* 50 i)))>
#<alt (* n (+ 100 (* 50 i)))>
#<alt (* n (+ 100 (* 50 i)))>
#<alt (* 100 n)>
#<alt (+ (* 50 (* i n)) (* 100 n))>
#<alt (+ (* 50 (* i n)) (* 100 n))>
#<alt (+ (* 50 (* i n)) (* 100 n))>
#<alt (* 50 (* i n))>
#<alt (* i (+ (* 50 n) (* 100 (/ n i))))>
#<alt (* i (+ (* 50 n) (* 100 (/ n i))))>
#<alt (* i (+ (* 50 n) (* 100 (/ n i))))>
#<alt (* 50 (* i n))>
#<alt (* -1 (* i (+ (* -100 (/ n i)) (* -50 n))))>
#<alt (* -1 (* i (+ (* -100 (/ n i)) (* -50 n))))>
#<alt (* -1 (* i (+ (* -100 (/ n i)) (* -50 n))))>
#<alt 100>
#<alt (+ 100 (* 50 i))>
#<alt (+ 100 (* 50 i))>
#<alt (+ 100 (* 50 i))>
#<alt (* 50 i)>
#<alt (* i (+ 50 (* 100 (/ 1 i))))>
#<alt (* i (+ 50 (* 100 (/ 1 i))))>
#<alt (* i (+ 50 (* 100 (/ 1 i))))>
#<alt (* 50 i)>
#<alt (* i (+ 50 (* 100 (/ 1 i))))>
#<alt (* i (+ 50 (* 100 (/ 1 i))))>
#<alt (* i (+ 50 (* 100 (/ 1 i))))>
#<alt (* -50 i)>
#<alt (+ (* -50 i) (* 100 (* n (+ 1 (* 1/2 i)))))>
#<alt (+ (* -50 i) (* 100 (* n (+ 1 (* 1/2 i)))))>
#<alt (+ (* -50 i) (* 100 (* n (+ 1 (* 1/2 i)))))>
#<alt (* 100 (/ (* n (+ i (* 1/2 (pow i 2)))) i))>
#<alt (* n (+ (* -50 (/ i n)) (* 100 (/ (+ i (* 1/2 (pow i 2))) i))))>
#<alt (* n (+ (* -50 (/ i n)) (* 100 (/ (+ i (* 1/2 (pow i 2))) i))))>
#<alt (* n (+ (* -50 (/ i n)) (* 100 (/ (+ i (* 1/2 (pow i 2))) i))))>
#<alt (* 100 (/ (* n (+ i (* 1/2 (pow i 2)))) i))>
#<alt (* -1 (* n (+ (* -100 (/ (+ i (* 1/2 (pow i 2))) i)) (* 50 (/ i n)))))>
#<alt (* -1 (* n (+ (* -100 (/ (+ i (* 1/2 (pow i 2))) i)) (* 50 (/ i n)))))>
#<alt (* -1 (* n (+ (* -100 (/ (+ i (* 1/2 (pow i 2))) i)) (* 50 (/ i n)))))>
#<alt (* 100 n)>
#<alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
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#<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

87 calls:

TimeVariablePointExpression
2.0ms
n
@inf
(* n (* 100 (/ (- (exp i) 1) i)))
1.0ms
n
@0
(/ (* 100 (/ (+ (* (- 1/2 (/ 1/2 n)) (* i i)) i) i)) (/ 1 n))
1.0ms
i
@-inf
(/ (+ (pow (+ (/ i n) 1) n) -1) i)
1.0ms
i
@-inf
(/ (* 100 (/ (+ (* (- 1/2 (/ 1/2 n)) (* i i)) i) i)) (/ 1 n))
1.0ms
i
@inf
(* 100 (/ (- (exp i) 1) i))

rewrite377.0ms (2.7%)

Memory
6.4MiB live, 295.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 234×lower-/.f32
5 218×lower-/.f64
4 390×lower-*.f32
4 372×lower-*.f64
3 442×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032147
059147
1232145
21614145
08704145
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 598
Calls
Call 1
Inputs
(*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
(*.f64 i #s(literal -50 binary64))
(/.f64 (*.f64 i (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))) i)
(*.f64 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)))
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
(/.f64 (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i) i)) (/.f64 #s(literal 1 binary64) n))
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i) i)
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i) i))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i)
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i)
(+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (expm1.f64 i)) (*.f64 n #s(literal 100 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 i))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (expm1.f64 i)) (*.f64 (*.f64 n #s(literal 100 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 i) (*.f64 (*.f64 n #s(literal 100 binary64)) (neg.f64 (expm1.f64 i)))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) n)))
(/.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 i)) i)
(/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) #s(literal 1 binary64)) (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (neg.f64 (expm1.f64 i))) (neg.f64 i))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) n) i)
(/.f64 (neg.f64 (*.f64 n #s(literal 100 binary64))) (neg.f64 (/.f64 i (expm1.f64 i))))
(/.f64 (neg.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 i (expm1.f64 i))))
(/.f64 (neg.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 i))) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i)))) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (neg.f64 (expm1.f64 i)))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) n)) (neg.f64 i))
(*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))
(*.f64 #s(literal 100 binary64) (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i) n)
(*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 n i) (/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 i))))
(*.f64 (*.f64 n (/.f64 (expm1.f64 i) i)) #s(literal 100 binary64))
(*.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i))
(*.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i) (expm1.f64 i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 n (/.f64 #s(literal 1 binary64) (expm1.f64 i))))
(*.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (expm1.f64 i)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 (*.f64 i #s(literal 3 binary64))))) (/.f64 #s(literal 100 binary64) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 (+.f64 i i)))) (/.f64 #s(literal 100 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i (expm1.f64 (*.f64 i #s(literal 3 binary64))))) (/.f64 n (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 i (expm1.f64 (+.f64 i i)))) (/.f64 n (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(*.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 i (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 (/.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 i (expm1.f64 (+.f64 i i)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 #s(literal 100 binary64) (/.f64 i (expm1.f64 i)))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (expm1.f64 i)) #s(literal 100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 i) (*.f64 #s(literal 100 binary64) (neg.f64 (expm1.f64 i)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 i) (*.f64 (neg.f64 (expm1.f64 i)) #s(literal 100 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i))) (neg.f64 i))
(/.f64 #s(literal -100 binary64) (neg.f64 (/.f64 i (expm1.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))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (neg.f64 (expm1.f64 i)))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 i)) #s(literal 100 binary64))) (neg.f64 (neg.f64 i)))
(pow.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))) #s(literal -1 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) 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 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i))
(*.f64 #s(literal -100 binary64) (/.f64 (neg.f64 (expm1.f64 i)) i))
(*.f64 (/.f64 (neg.f64 (expm1.f64 i)) #s(literal -1 binary64)) (/.f64 #s(literal 100 binary64) i))
(+.f64 (/.f64 (exp.f64 i) i) (neg.f64 (/.f64 #s(literal 1 binary64) i)))
(exp.f64 (*.f64 (log.f64 (/.f64 i (expm1.f64 i))) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 i)) (/.f64 (expm1.f64 i) (neg.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)))) i) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))) i))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) i) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 i))) i))
(-.f64 (/.f64 (exp.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) (*.f64 i (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))))
(-.f64 (/.f64 (exp.f64 (+.f64 i i)) (*.f64 i (+.f64 #s(literal 1 binary64) (exp.f64 i)))) (/.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(-.f64 (/.f64 (*.f64 (exp.f64 i) i) (*.f64 i i)) (/.f64 (*.f64 i #s(literal 1 binary64)) (*.f64 i i)))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 i #s(literal 3 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 #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 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1 binary64) i)) (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i))))
(fma.f64 (exp.f64 i) (/.f64 #s(literal 1 binary64) i) (neg.f64 (/.f64 #s(literal 1 binary64) i)))
(neg.f64 (/.f64 (expm1.f64 i) (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) (neg.f64 (neg.f64 (/.f64 i (expm1.f64 i)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (+.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 i (+.f64 #s(literal 1 binary64) (exp.f64 i))) (expm1.f64 (+.f64 i i))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (-.f64 (*.f64 (exp.f64 i) i) (*.f64 i #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) i) (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i)) i) (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 (exp.f64 (*.f64 i #s(literal 3 binary64))) (*.f64 i (*.f64 i i))) (/.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i i))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i)) (-.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 #s(literal 1 binary64) (/.f64 i (*.f64 (expm1.f64 i) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) i))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i)) (*.f64 (expm1.f64 (+.f64 i i)) (/.f64 #s(literal 1 binary64) i))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (expm1.f64 i))))
(/.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 (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))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (neg.f64 (*.f64 i (+.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 i (+.f64 #s(literal 1 binary64) (exp.f64 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)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(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 n)) #s(literal 1/2 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 #s(literal 1 binary64) (/.f64 i n)) #s(literal -1 binary64)) (neg.f64 n))
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 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)))))

simplify510.0ms (3.7%)

Memory
28.0MiB live, 416.3MiB allocated
Algorithm
1×egg-herbie
Rules
9 264×lower-fma.f64
9 264×lower-fma.f32
6 182×lower-*.f64
6 182×lower-*.f32
3 964×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06146108
119485708
263015445
082264890
Stop Event
1×iter limit
1×node limit
Counts
348 → 345
Calls
Call 1
Inputs
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 n)
(+ (* 50 (* i n)) (* 100 n))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
100
(+ 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)
(* -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))
(+ (* 50 (* i n)) (* 100 n))
(+ (* 50 (* i n)) (* 100 n))
(* 50 (* i n))
(* i (+ (* 50 n) (* 100 (/ n i))))
(* i (+ (* 50 n) (* 100 (/ n i))))
(* i (+ (* 50 n) (* 100 (/ n i))))
(* 50 (* i n))
(* -1 (* i (+ (* -100 (/ n i)) (* -50 n))))
(* -1 (* i (+ (* -100 (/ n i)) (* -50 n))))
(* -1 (* i (+ (* -100 (/ n i)) (* -50 n))))
(* n (+ 100 (* 50 i)))
(* n (+ 100 (* 50 i)))
(* n (+ 100 (* 50 i)))
(* n (+ 100 (* 50 i)))
(* n (+ 100 (* 50 i)))
(* n (+ 100 (* 50 i)))
(* n (+ 100 (* 50 i)))
(* n (+ 100 (* 50 i)))
(* n (+ 100 (* 50 i)))
(* n (+ 100 (* 50 i)))
(* n (+ 100 (* 50 i)))
(* n (+ 100 (* 50 i)))
(* 100 (* i n))
(* i (+ (* 50 (* i n)) (* 100 n)))
(* i (+ (* 50 (* i n)) (* 100 n)))
(* i (+ (* 50 (* i n)) (* 100 n)))
(* 50 (* (pow i 2) n))
(* (pow i 2) (+ (* 50 n) (* 100 (/ n i))))
(* (pow i 2) (+ (* 50 n) (* 100 (/ n i))))
(* (pow i 2) (+ (* 50 n) (* 100 (/ n i))))
(* 50 (* (pow i 2) n))
(* (pow i 2) (+ (* 50 n) (* 100 (/ n i))))
(* (pow i 2) (+ (* 50 n) (* 100 (/ n i))))
(* (pow i 2) (+ (* 50 n) (* 100 (/ n i))))
(* i (* n (+ 100 (* 50 i))))
(* i (* n (+ 100 (* 50 i))))
(* i (* n (+ 100 (* 50 i))))
(* i (* n (+ 100 (* 50 i))))
(* i (* n (+ 100 (* 50 i))))
(* i (* n (+ 100 (* 50 i))))
(* i (* n (+ 100 (* 50 i))))
(* i (* n (+ 100 (* 50 i))))
(* i (* n (+ 100 (* 50 i))))
(* i (* n (+ 100 (* 50 i))))
(* i (* n (+ 100 (* 50 i))))
(* i (* n (+ 100 (* 50 i))))
(* n (+ 100 (* 50 i)))
(* n (+ 100 (* 50 i)))
(* n (+ 100 (* 50 i)))
(* n (+ 100 (* 50 i)))
(* n (+ 100 (* 50 i)))
(* n (+ 100 (* 50 i)))
(* n (+ 100 (* 50 i)))
(* n (+ 100 (* 50 i)))
(* n (+ 100 (* 50 i)))
(* n (+ 100 (* 50 i)))
(* n (+ 100 (* 50 i)))
(* n (+ 100 (* 50 i)))
(* 100 n)
(+ (* 50 (* i n)) (* 100 n))
(+ (* 50 (* i n)) (* 100 n))
(+ (* 50 (* i n)) (* 100 n))
(* 50 (* i n))
(* i (+ (* 50 n) (* 100 (/ n i))))
(* i (+ (* 50 n) (* 100 (/ n i))))
(* i (+ (* 50 n) (* 100 (/ n i))))
(* 50 (* i n))
(* -1 (* i (+ (* -100 (/ n i)) (* -50 n))))
(* -1 (* i (+ (* -100 (/ n i)) (* -50 n))))
(* -1 (* i (+ (* -100 (/ n i)) (* -50 n))))
100
(+ 100 (* 50 i))
(+ 100 (* 50 i))
(+ 100 (* 50 i))
(* 50 i)
(* i (+ 50 (* 100 (/ 1 i))))
(* i (+ 50 (* 100 (/ 1 i))))
(* i (+ 50 (* 100 (/ 1 i))))
(* 50 i)
(* i (+ 50 (* 100 (/ 1 i))))
(* i (+ 50 (* 100 (/ 1 i))))
(* i (+ 50 (* 100 (/ 1 i))))
(* -50 i)
(+ (* -50 i) (* 100 (* n (+ 1 (* 1/2 i)))))
(+ (* -50 i) (* 100 (* n (+ 1 (* 1/2 i)))))
(+ (* -50 i) (* 100 (* n (+ 1 (* 1/2 i)))))
(* 100 (/ (* n (+ i (* 1/2 (pow i 2)))) i))
(* n (+ (* -50 (/ i n)) (* 100 (/ (+ i (* 1/2 (pow i 2))) i))))
(* n (+ (* -50 (/ i n)) (* 100 (/ (+ i (* 1/2 (pow i 2))) i))))
(* n (+ (* -50 (/ i n)) (* 100 (/ (+ i (* 1/2 (pow i 2))) i))))
(* 100 (/ (* n (+ i (* 1/2 (pow i 2)))) i))
(* -1 (* n (+ (* -100 (/ (+ i (* 1/2 (pow i 2))) i)) (* 50 (/ i n)))))
(* -1 (* n (+ (* -100 (/ (+ i (* 1/2 (pow i 2))) i)) (* 50 (/ i n)))))
(* -1 (* n (+ (* -100 (/ (+ i (* 1/2 (pow i 2))) i)) (* 50 (/ i n)))))
(* 100 n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i))))
(* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i))))
(* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i))))
(* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(* -1 (* i (+ (* -100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -100 (/ n i)))))
(* -1 (* i (+ (* -100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -100 (/ n i)))))
(* -1 (* i (+ (* -100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -100 (/ n i)))))
(* -1/2 (/ i n))
(/ (+ (* -1/2 i) (* n (+ 1 (* 1/2 i)))) n)
(/ (+ (* -1/2 i) (* n (+ 1 (* 1/2 i)))) n)
(/ (+ (* -1/2 i) (* n (+ 1 (* 1/2 i)))) n)
(/ (+ i (* 1/2 (pow i 2))) i)
(+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))
(+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))
(+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))
(/ (+ i (* 1/2 (pow i 2))) i)
(+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))
(+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))
(+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))
1
(+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))
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(+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))
(* i (- 1/2 (* 1/2 (/ 1 n))))
(* i (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))
(* i (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))
(* i (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))
(* i (- 1/2 (* 1/2 (/ 1 n))))
(* -1 (* i (- (* -1 (- 1/2 (* 1/2 (/ 1 n)))) (/ 1 i))))
(* -1 (* i (- (* -1 (- 1/2 (* 1/2 (/ 1 n)))) (/ 1 i))))
(* -1 (* i (- (* -1 (- 1/2 (* 1/2 (/ 1 n)))) (/ 1 i))))
(* -50 (/ i n))
(/ (+ (* -50 i) (* 100 (* n (+ 1 (* 1/2 i))))) n)
(/ (+ (* -50 i) (* 100 (* n (+ 1 (* 1/2 i))))) n)
(/ (+ (* -50 i) (* 100 (* n (+ 1 (* 1/2 i))))) n)
(* 100 (/ (+ i (* 1/2 (pow i 2))) i))
(+ (* -50 (/ i n)) (* 100 (/ (+ i (* 1/2 (pow i 2))) i)))
(+ (* -50 (/ i n)) (* 100 (/ (+ i (* 1/2 (pow i 2))) i)))
(+ (* -50 (/ i n)) (* 100 (/ (+ i (* 1/2 (pow i 2))) i)))
(* 100 (/ (+ i (* 1/2 (pow i 2))) i))
(+ (* -50 (/ i n)) (* 100 (/ (+ i (* 1/2 (pow i 2))) i)))
(+ (* -50 (/ i n)) (* 100 (/ (+ i (* 1/2 (pow i 2))) i)))
(+ (* -50 (/ i n)) (* 100 (/ (+ i (* 1/2 (pow i 2))) i)))
100
(+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))
(* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* 100 (/ 1 i))))
(* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* 100 (/ 1 i))))
(* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* 100 (/ 1 i))))
(* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))
(* -1 (* i (- (* -100 (- 1/2 (* 1/2 (/ 1 n)))) (* 100 (/ 1 i)))))
(* -1 (* i (- (* -100 (- 1/2 (* 1/2 (/ 1 n)))) (* 100 (/ 1 i)))))
(* -1 (* i (- (* -100 (- 1/2 (* 1/2 (/ 1 n)))) (* 100 (/ 1 i)))))
(* -1/2 (/ (pow i 2) n))
(/ (+ (* -1/2 (pow i 2)) (* n (+ i (* 1/2 (pow i 2))))) n)
(/ (+ (* -1/2 (pow i 2)) (* n (+ i (* 1/2 (pow i 2))))) n)
(/ (+ (* -1/2 (pow i 2)) (* n (+ i (* 1/2 (pow i 2))))) n)
(+ i (* 1/2 (pow i 2)))
(+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/2 (pow i 2))))
(+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/2 (pow i 2))))
(+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/2 (pow i 2))))
(+ i (* 1/2 (pow i 2)))
(+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/2 (pow i 2))))
(+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/2 (pow i 2))))
(+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/2 (pow i 2))))
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(* (pow i 2) (- 1/2 (* 1/2 (/ 1 n))))
(* (pow i 2) (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))
(* (pow i 2) (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))
(* (pow i 2) (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))
(* (pow i 2) (- 1/2 (* 1/2 (/ 1 n))))
(* (pow i 2) (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))
(* (pow i 2) (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))
(* (pow i 2) (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))
(* 100 n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))
(* -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))))
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(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))
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(* -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)))))
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1
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(* -1 (/ (+ (* -1 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (* -1 (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
(* -1 (/ (+ (* -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))))))) (/ (* (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 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (/ (* (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 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i))
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i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
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(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)
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(- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)
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(* n (+ (log i) (* -1 (log n))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))
(* 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)
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(- (+ (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)
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(- (+ (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)))
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1
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
Outputs
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(* 100 (/ (* n (- (exp i) 1)) i))
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(* 100 (/ (* n (- (exp i) 1)) i))
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(* 100 (/ (* n (- (exp i) 1)) i))
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(* 100 (/ (* n (- (exp i) 1)) i))
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(* 100 (/ (* n (- (exp i) 1)) i))
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(* 100 (/ (* n (- (exp i) 1)) i))
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(* 100 n)
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(fma.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
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(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))
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(* 100 (/ (- (exp i) 1) i))
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1
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(* n (+ (log i) (* -1 (log n))))
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1
#s(literal 1 binary64)
(+ 1 i)
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(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
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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)
(+ (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))
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(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
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(+ (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 (exp.f64 i) (*.f64 #s(literal 1/2 binary64) (*.f64 i 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 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64)))) (neg.f64 n)))) n)) n))

eval179.0ms (1.3%)

Memory
-14.2MiB live, 156.1MiB allocated
Compiler

Compiled 20 722 to 2 734 computations (86.8% saved)

prune147.0ms (1.1%)

Memory
-6.4MiB live, 272.8MiB allocated
Pruning

41 alts after pruning (35 fresh and 6 done)

PrunedKeptTotal
New92617943
Fresh101828
Picked235
Done033
Total93841979
Accuracy
100.0%
Counts
979 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.1%
(fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
▶59.3%
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
57.3%
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
2.7%
(/.f64 (/.f64 (*.f64 i #s(literal -50 binary64)) n) (/.f64 #s(literal 1 binary64) n))
28.3%
(/.f64 (+.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -100 binary64)) (/.f64 i n))
28.6%
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
56.2%
(/.f64 (*.f64 (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) #s(literal 100 binary64)) i)
✓73.9%
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
50.7%
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
10.5%
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)
10.0%
(/.f64 (*.f64 n (*.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 100 binary64))) (/.f64 i n))
50.8%
(/.f64 (*.f64 i (*.f64 n #s(literal 100 binary64))) i)
46.6%
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
26.7%
(/.f64 (*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (*.f64 i i) (*.f64 (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 i (*.f64 i i))))) (-.f64 i (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 i i)))) i)) (/.f64 #s(literal 1 binary64) n))
66.1%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 i n))
49.5%
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
53.2%
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 n (*.f64 (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) i))))
56.0%
(*.f64 (fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64)) (*.f64 n #s(literal 100 binary64)))
✓28.6%
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
17.0%
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
10.0%
(*.f64 (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) i) (*.f64 n #s(literal 100 binary64)))
▶74.4%
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) #s(literal 100 binary64))
42.4%
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) i)) #s(literal 1 binary64)) (/.f64 n i))
▶74.3%
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (expm1.f64 i)))
59.2%
(*.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)))
57.3%
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
56.1%
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
▶57.3%
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
56.1%
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))))
24.0%
(*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (exp.f64 i) i) (*.f64 i #s(literal 1 binary64))) (*.f64 i i))))
✓79.1%
(*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))
✓49.7%
(*.f64 n #s(literal 100 binary64))
▶10.4%
(*.f64 i (*.f64 n #s(literal 50 binary64)))
✓2.7%
(*.f64 i #s(literal -50 binary64))
26.2%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (neg.f64 (/.f64 n i))))
56.1%
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n))
44.1%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i)) #s(literal -1 binary64)) i) (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64))) (/.f64 i n)))
2.9%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) (/.f64 i n)))
7.2%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
16.4%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
✓76.4%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
Compiler

Compiled 1 080 to 717 computations (33.6% saved)

simplify242.0ms (1.7%)

Memory
-4.1MiB live, 281.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(expm1.f64 i)
✓cost-diff0
(*.f64 n (expm1.f64 i))
✓cost-diff0
(/.f64 #s(literal 100 binary64) i)
✓cost-diff0
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (expm1.f64 i)))
✓cost-diff0
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
✓cost-diff0
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
✓cost-diff320
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64)))
✓cost-diff320
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
✓cost-diff0
(fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓cost-diff0
(fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓cost-diff320
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 n #s(literal 50 binary64))
✓cost-diff0
(*.f64 i (*.f64 n #s(literal 50 binary64)))
✓cost-diff0
(expm1.f64 i)
✓cost-diff0
(*.f64 n (expm1.f64 i))
✓cost-diff0
(/.f64 (*.f64 n (expm1.f64 i)) i)
✓cost-diff0
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) #s(literal 100 binary64))
Rules
7 926×lower-fma.f32
7 916×lower-fma.f64
3 602×lower-*.f32
3 584×lower-*.f64
1 254×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026140
049140
1109140
2266138
3654138
41434137
52275137
62751137
73146137
83713137
94188137
104897137
116750137
08284130
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) #s(literal 100 binary64))
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 n (expm1.f64 i))
n
(expm1.f64 i)
i
#s(literal 100 binary64)
(*.f64 i (*.f64 n #s(literal 50 binary64)))
i
(*.f64 n #s(literal 50 binary64))
n
#s(literal 50 binary64)
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
n
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(literal 100 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)
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
i
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64)))
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
n
(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 #s(literal 100 binary64) n)
#s(literal 100 binary64)
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (expm1.f64 i)))
(/.f64 #s(literal 100 binary64) i)
#s(literal 100 binary64)
i
(*.f64 n (expm1.f64 i))
n
(expm1.f64 i)
Outputs
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) #s(literal 100 binary64))
(*.f64 n (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i))
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 n (expm1.f64 i))
n
(expm1.f64 i)
i
#s(literal 100 binary64)
(*.f64 i (*.f64 n #s(literal 50 binary64)))
i
(*.f64 n #s(literal 50 binary64))
n
#s(literal 50 binary64)
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
n
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64))
#s(literal 100 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)
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) 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)))
i
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #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 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
n
(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 #s(literal 100 binary64) n)
(*.f64 n #s(literal 100 binary64))
#s(literal 100 binary64)
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (expm1.f64 i)))
(*.f64 n (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i))
(/.f64 #s(literal 100 binary64) i)
#s(literal 100 binary64)
i
(*.f64 n (expm1.f64 i))
n
(expm1.f64 i)

localize174.0ms (1.3%)

Memory
-18.4MiB live, 140.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 100 binary64) i)
✓accuracy100.0%
(expm1.f64 i)
✓accuracy100.0%
(*.f64 n (expm1.f64 i))
✓accuracy93.3%
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (expm1.f64 i)))
✓accuracy99.9%
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64)))
✓accuracy99.7%
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
✓accuracy99.5%
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
✓accuracy99.4%
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
✓accuracy99.9%
(fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓accuracy99.9%
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓accuracy99.8%
(fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓accuracy95.3%
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓accuracy100.0%
(*.f64 n #s(literal 50 binary64))
✓accuracy99.7%
(*.f64 i (*.f64 n #s(literal 50 binary64)))
✓accuracy100.0%
(expm1.f64 i)
✓accuracy100.0%
(*.f64 n (expm1.f64 i))
✓accuracy99.9%
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) #s(literal 100 binary64))
✓accuracy93.6%
(/.f64 (*.f64 n (expm1.f64 i)) i)
Samples
86.0ms247×0valid
2.0ms6×1valid
2.0ms3×2valid
Compiler

Compiled 170 to 33 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-div: 34.0ms (47.9% of total)
ival-mult: 19.0ms (26.8% of total)
const: 9.0ms (12.7% of total)
ival-add: 5.0ms (7% of total)
ival-expm1: 2.0ms (2.8% of total)
adjust: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory
29.5MiB live, 29.5MiB allocated
Counts
16 → 300
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) #s(literal 100 binary64))>
#<alt (/.f64 (*.f64 n (expm1.f64 i)) i)>
#<alt (*.f64 n (expm1.f64 i))>
#<alt (expm1.f64 i)>
#<alt (*.f64 i (*.f64 n #s(literal 50 binary64)))>
#<alt (*.f64 n #s(literal 50 binary64))>
#<alt (*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))>
#<alt (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))>
#<alt (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))>
#<alt (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))>
#<alt (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64)))>
#<alt (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))>
#<alt (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))>
#<alt (*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (expm1.f64 i)))>
#<alt (/.f64 #s(literal 100 binary64) i)>
Outputs
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 n)>
#<alt (+ (* 50 (* i n)) (* 100 n))>
#<alt (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))>
#<alt (+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt n>
#<alt (+ n (* 1/2 (* i n)))>
#<alt (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))>
#<alt (+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n))))))>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* i n)>
#<alt (* i (+ n (* 1/2 (* i n))))>
#<alt (* i (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n)))))>
#<alt (* i (+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n)))))))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<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 n)>
#<alt (* 50 n)>
#<alt (* 50 n)>
#<alt (* 50 n)>
#<alt (* 50 n)>
#<alt (* 50 n)>
#<alt (* 50 n)>
#<alt (* 50 n)>
#<alt (* 50 n)>
#<alt (* 50 n)>
#<alt (* 50 n)>
#<alt (* 50 n)>
#<alt 100>
#<alt (+ 100 (* 50 i))>
#<alt (+ 100 (* i (+ 50 (* 50/3 i))))>
#<alt (+ 100 (* i (+ 50 (* 50/3 i))))>
#<alt (* 50/3 (pow i 2))>
#<alt (* (pow i 2) (+ 50/3 (* 50 (/ 1 i))))>
#<alt (* (pow i 2) (+ 50/3 (+ (* 50 (/ 1 i)) (/ 100 (pow i 2)))))>
#<alt (* (pow i 2) (+ 50/3 (+ (* 50 (/ 1 i)) (/ 100 (pow i 2)))))>
#<alt (* 50/3 (pow i 2))>
#<alt (* (pow i 2) (+ 50/3 (* 50 (/ 1 i))))>
#<alt (* (pow i 2) (+ 50/3 (+ (* 50 (/ 1 i)) (/ 100 (pow i 2)))))>
#<alt (* (pow i 2) (+ 50/3 (+ (* 50 (/ 1 i)) (/ 100 (pow i 2)))))>
#<alt (* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))>
#<alt (* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))>
#<alt (* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))>
#<alt (* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))>
#<alt (* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))>
#<alt (* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))>
#<alt (* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))>
#<alt (* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))>
#<alt (* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))>
#<alt (* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))>
#<alt (* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))>
#<alt (* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))>
#<alt (* 100 n)>
#<alt (+ (* 50 (* i n)) (* 100 n))>
#<alt (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))>
#<alt (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))>
#<alt (* 50/3 (* (pow i 2) n))>
#<alt (* (pow i 2) (+ (* 50/3 n) (* 50 (/ n i))))>
#<alt (* (pow i 2) (+ (* 50/3 n) (+ (* 50 (/ n i)) (* 100 (/ n (pow i 2))))))>
#<alt (* (pow i 2) (+ (* 50/3 n) (+ (* 50 (/ n i)) (* 100 (/ n (pow i 2))))))>
#<alt (* 50/3 (* (pow i 2) n))>
#<alt (* (pow i 2) (+ (* 50/3 n) (* 50 (/ n i))))>
#<alt (* (pow i 2) (+ (* -1 (/ (+ (* -100 (/ n i)) (* -50 n)) i)) (* 50/3 n)))>
#<alt (* (pow i 2) (+ (* -1 (/ (+ (* -100 (/ n i)) (* -50 n)) i)) (* 50/3 n)))>
#<alt 1>
#<alt (+ 1 (* 1/2 i))>
#<alt (+ 1 (* i (+ 1/2 (* 1/6 i))))>
#<alt (+ 1 (* i (+ 1/2 (* 1/6 i))))>
#<alt (* 1/6 (pow i 2))>
#<alt (* (pow i 2) (+ 1/6 (* 1/2 (/ 1 i))))>
#<alt (* (pow i 2) (+ 1/6 (+ (* 1/2 (/ 1 i)) (/ 1 (pow i 2)))))>
#<alt (* (pow i 2) (+ 1/6 (+ (* 1/2 (/ 1 i)) (/ 1 (pow i 2)))))>
#<alt (* 1/6 (pow i 2))>
#<alt (* (pow i 2) (+ 1/6 (* 1/2 (/ 1 i))))>
#<alt (* (pow i 2) (+ 1/6 (+ (* 1/2 (/ 1 i)) (/ 1 (pow i 2)))))>
#<alt (* (pow i 2) (+ 1/6 (+ (* 1/2 (/ 1 i)) (/ 1 (pow i 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 i))>
#<alt (+ 1/2 (* 1/6 i))>
#<alt (+ 1/2 (* 1/6 i))>
#<alt (* 1/6 i)>
#<alt (* i (+ 1/6 (* 1/2 (/ 1 i))))>
#<alt (* i (+ 1/6 (* 1/2 (/ 1 i))))>
#<alt (* i (+ 1/6 (* 1/2 (/ 1 i))))>
#<alt (* 1/6 i)>
#<alt (* i (+ 1/6 (* 1/2 (/ 1 i))))>
#<alt (* i (+ 1/6 (* 1/2 (/ 1 i))))>
#<alt (* i (+ 1/6 (* 1/2 (/ 1 i))))>
#<alt (* 100 n)>
#<alt (+ (* 50 (* i n)) (* 100 n))>
#<alt (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))>
#<alt (+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))>
#<alt (* 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 (- (* i (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)) 100)))>
#<alt (* -1 (* n (- (* i (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)) 100)))>
#<alt (* -1 (* n (- (* i (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)) 100)))>
#<alt (* -1 (* n (- (* i (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)) 100)))>
#<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 (* 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 (* -1 (* n (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)))>
#<alt (* -1 (* n (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)))>
#<alt (* -1 (* n (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)))>
#<alt (* -1 (* n (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)))>
#<alt (* n (+ 50/3 (* 25/6 i)))>
#<alt (* n (+ 50/3 (* 25/6 i)))>
#<alt (* n (+ 50/3 (* 25/6 i)))>
#<alt (* n (+ 50/3 (* 25/6 i)))>
#<alt (* n (+ 50/3 (* 25/6 i)))>
#<alt (* n (+ 50/3 (* 25/6 i)))>
#<alt (* n (+ 50/3 (* 25/6 i)))>
#<alt (* n (+ 50/3 (* 25/6 i)))>
#<alt (* n (+ 50/3 (* 25/6 i)))>
#<alt (* n (+ 50/3 (* 25/6 i)))>
#<alt (* n (+ 50/3 (* 25/6 i)))>
#<alt (* n (+ 50/3 (* 25/6 i)))>
#<alt (* 50/3 n)>
#<alt (+ (* 25/6 (* i n)) (* 50/3 n))>
#<alt (+ (* 25/6 (* i n)) (* 50/3 n))>
#<alt (+ (* 25/6 (* i n)) (* 50/3 n))>
#<alt (* 25/6 (* i n))>
#<alt (* i (+ (* 25/6 n) (* 50/3 (/ n i))))>
#<alt (* i (+ (* 25/6 n) (* 50/3 (/ n i))))>
#<alt (* i (+ (* 25/6 n) (* 50/3 (/ n i))))>
#<alt (* 25/6 (* i n))>
#<alt (* -1 (* i (+ (* -50/3 (/ n i)) (* -25/6 n))))>
#<alt (* -1 (* i (+ (* -50/3 (/ n i)) (* -25/6 n))))>
#<alt (* -1 (* i (+ (* -50/3 (/ n i)) (* -25/6 n))))>
#<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 (* 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 i)>
#<alt (/ 100 i)>
#<alt (/ 100 i)>
#<alt (/ 100 i)>
#<alt (/ 100 i)>
#<alt (/ 100 i)>
#<alt (/ 100 i)>
#<alt (/ 100 i)>
#<alt (/ 100 i)>
#<alt (/ 100 i)>
#<alt (/ 100 i)>
#<alt (/ 100 i)>
Calls

75 calls:

TimeVariablePointExpression
1.0ms
n
@inf
(+ (* i (+ (* i (* n (+ (* i 25/6) 50/3))) (* n 50))) (* 100 n))
1.0ms
n
@0
(+ (* i (+ (* i (* n (+ (* i 25/6) 50/3))) (* n 50))) (* 100 n))
1.0ms
n
@0
(* n (* 100 (+ (* i (+ (* i 1/6) 1/2)) 1)))
1.0ms
n
@-inf
(+ (* i (+ (* i (* n (+ (* i 25/6) 50/3))) (* n 50))) (* 100 n))
0.0ms
n
@inf
(* n (* 100 (+ (* i (+ (* i 1/6) 1/2)) 1)))

rewrite466.0ms (3.4%)

Memory
-33.9MiB live, 407.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 990×lower-*.f32
4 972×lower-*.f64
4 550×lower-/.f32
4 546×lower-/.f64
3 796×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026107
049107
1197107
21405107
08397107
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 774
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) #s(literal 100 binary64))
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 n (expm1.f64 i))
(expm1.f64 i)
(*.f64 i (*.f64 n #s(literal 50 binary64)))
(*.f64 n #s(literal 50 binary64))
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64)))
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (expm1.f64 i)))
(/.f64 #s(literal 100 binary64) i)
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i) (exp.f64 i)) (*.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i) #s(literal -1 binary64)))
(+.f64 (*.f64 (exp.f64 i) (/.f64 (*.f64 n #s(literal 100 binary64)) i)) (neg.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i)))
(fma.f64 (exp.f64 i) (/.f64 (*.f64 n #s(literal 100 binary64)) i) (neg.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i)))
(fma.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i) (exp.f64 i) (*.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i) #s(literal -1 binary64)))
(/.f64 n (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 i)) (*.f64 i #s(literal 1/100 binary64))))
(/.f64 (*.f64 n (expm1.f64 i)) (*.f64 i #s(literal 1/100 binary64)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 n (expm1.f64 i))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 i #s(literal 1/100 binary64)) (*.f64 n (expm1.f64 i))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 n (expm1.f64 i))) #s(literal 100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 i) (*.f64 (*.f64 n (expm1.f64 i)) #s(literal -100 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) (*.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i) (expm1.f64 (*.f64 i #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i)) (*.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i) (expm1.f64 (+.f64 i i)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 i) (*.f64 #s(literal 100 binary64) (neg.f64 (*.f64 n (expm1.f64 i))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 i) (*.f64 #s(literal -100 binary64) (*.f64 n (expm1.f64 i)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 i) (*.f64 (neg.f64 (*.f64 n (expm1.f64 i))) #s(literal 100 binary64))))
(/.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 n #s(literal 100 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 i)) i))
(/.f64 (neg.f64 (*.f64 n (expm1.f64 i))) (neg.f64 (*.f64 i #s(literal 1/100 binary64))))
(/.f64 #s(literal -100 binary64) (neg.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64))))))
(/.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i) (/.f64 #s(literal 1 binary64) (expm1.f64 i)))
(/.f64 (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64))) i)
(/.f64 (neg.f64 (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64)))) (neg.f64 i))
(/.f64 (*.f64 n (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (*.f64 (*.f64 i #s(literal 1/100 binary64)) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(/.f64 (*.f64 n (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (*.f64 (*.f64 i #s(literal 1/100 binary64)) (+.f64 (exp.f64 (+.f64 i i)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 i) #s(literal -1 binary64))))))
(/.f64 (*.f64 n (expm1.f64 (+.f64 i i))) (*.f64 (*.f64 i #s(literal 1/100 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal -100 binary64)) (neg.f64 i))
(/.f64 (*.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i) (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (*.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i) (expm1.f64 (+.f64 i i))) (+.f64 #s(literal 1 binary64) (exp.f64 i)))
(/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 (*.f64 n (expm1.f64 i)))) (neg.f64 i))
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) n) (*.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) (*.f64 i #s(literal 1/100 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) n) (*.f64 (+.f64 (exp.f64 (+.f64 i i)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 i) #s(literal -1 binary64)))) (*.f64 i #s(literal 1/100 binary64))))
(/.f64 (*.f64 (expm1.f64 (+.f64 i i)) n) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i)) (*.f64 i #s(literal 1/100 binary64))))
(/.f64 (*.f64 #s(literal -100 binary64) (*.f64 n (expm1.f64 i))) (neg.f64 i))
(/.f64 (*.f64 (neg.f64 (*.f64 n (expm1.f64 i))) #s(literal 100 binary64)) (neg.f64 i))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64)))) n) (*.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))) (*.f64 i #s(literal 1/100 binary64))))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 i i))) n) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i))) (*.f64 i #s(literal 1/100 binary64))))
(/.f64 (*.f64 (*.f64 n (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))) (*.f64 i #s(literal 1/100 binary64))))
(/.f64 (*.f64 (*.f64 n (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))) (neg.f64 (*.f64 i #s(literal 1/100 binary64)))))
(/.f64 (*.f64 (*.f64 n (expm1.f64 (+.f64 i i))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i)) (*.f64 i #s(literal 1/100 binary64))))
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(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) #s(literal -1 binary64)) (/.f64 #s(literal -100 binary64) i))
(*.f64 (/.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i) (+.f64 #s(literal 1 binary64) (exp.f64 i))) (/.f64 (expm1.f64 (+.f64 i i)) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 (*.f64 n (expm1.f64 i))) #s(literal -1 binary64)) (/.f64 #s(literal 100 binary64) i))
(exp.f64 (*.f64 (log.f64 (*.f64 i #s(literal 1/100 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -100 binary64) i))
(neg.f64 (/.f64 #s(literal -100 binary64) i))
(/.f64 #s(literal 100 binary64) i)
(/.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/100 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 i #s(literal 1/100 binary64)))))
(/.f64 #s(literal -100 binary64) (neg.f64 i))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 i #s(literal 1/100 binary64))))
(pow.f64 (*.f64 i #s(literal 1/100 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) i))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 100 binary64) i))
(*.f64 #s(literal -100 binary64) (/.f64 #s(literal -1 binary64) i))
(*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -100 binary64) i))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 i #s(literal 1/100 binary64)))))

simplify402.0ms (2.9%)

Memory
39.3MiB live, 426.5MiB allocated
Algorithm
1×egg-herbie
Rules
16 376×lower-fma.f64
16 376×lower-fma.f32
3 646×lower-*.f64
3 646×lower-*.f32
2 938×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01812536
16132396
218472350
342542330
084501923
Stop Event
1×iter limit
1×node limit
Counts
300 → 298
Calls
Call 1
Inputs
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 n)
(+ (* 50 (* i n)) (* 100 n))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
n
(+ n (* 1/2 (* i n)))
(+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))
(+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n))))))
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* i n)
(* i (+ n (* 1/2 (* i n))))
(* i (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n)))))
(* i (+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n)))))))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
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 n)
(* 50 n)
(* 50 n)
(* 50 n)
(* 50 n)
(* 50 n)
(* 50 n)
(* 50 n)
(* 50 n)
(* 50 n)
(* 50 n)
(* 50 n)
100
(+ 100 (* 50 i))
(+ 100 (* i (+ 50 (* 50/3 i))))
(+ 100 (* i (+ 50 (* 50/3 i))))
(* 50/3 (pow i 2))
(* (pow i 2) (+ 50/3 (* 50 (/ 1 i))))
(* (pow i 2) (+ 50/3 (+ (* 50 (/ 1 i)) (/ 100 (pow i 2)))))
(* (pow i 2) (+ 50/3 (+ (* 50 (/ 1 i)) (/ 100 (pow i 2)))))
(* 50/3 (pow i 2))
(* (pow i 2) (+ 50/3 (* 50 (/ 1 i))))
(* (pow i 2) (+ 50/3 (+ (* 50 (/ 1 i)) (/ 100 (pow i 2)))))
(* (pow i 2) (+ 50/3 (+ (* 50 (/ 1 i)) (/ 100 (pow i 2)))))
(* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))
(* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))
(* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))
(* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))
(* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))
(* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))
(* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))
(* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))
(* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))
(* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))
(* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))
(* 100 (* n (+ 1 (* i (+ 1/2 (* 1/6 i))))))
(* 100 n)
(+ (* 50 (* i n)) (* 100 n))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(* 50/3 (* (pow i 2) n))
(* (pow i 2) (+ (* 50/3 n) (* 50 (/ n i))))
(* (pow i 2) (+ (* 50/3 n) (+ (* 50 (/ n i)) (* 100 (/ n (pow i 2))))))
(* (pow i 2) (+ (* 50/3 n) (+ (* 50 (/ n i)) (* 100 (/ n (pow i 2))))))
(* 50/3 (* (pow i 2) n))
(* (pow i 2) (+ (* 50/3 n) (* 50 (/ n i))))
(* (pow i 2) (+ (* -1 (/ (+ (* -100 (/ n i)) (* -50 n)) i)) (* 50/3 n)))
(* (pow i 2) (+ (* -1 (/ (+ (* -100 (/ n i)) (* -50 n)) i)) (* 50/3 n)))
1
(+ 1 (* 1/2 i))
(+ 1 (* i (+ 1/2 (* 1/6 i))))
(+ 1 (* i (+ 1/2 (* 1/6 i))))
(* 1/6 (pow i 2))
(* (pow i 2) (+ 1/6 (* 1/2 (/ 1 i))))
(* (pow i 2) (+ 1/6 (+ (* 1/2 (/ 1 i)) (/ 1 (pow i 2)))))
(* (pow i 2) (+ 1/6 (+ (* 1/2 (/ 1 i)) (/ 1 (pow i 2)))))
(* 1/6 (pow i 2))
(* (pow i 2) (+ 1/6 (* 1/2 (/ 1 i))))
(* (pow i 2) (+ 1/6 (+ (* 1/2 (/ 1 i)) (/ 1 (pow i 2)))))
(* (pow i 2) (+ 1/6 (+ (* 1/2 (/ 1 i)) (/ 1 (pow i 2)))))
1/2
(+ 1/2 (* 1/6 i))
(+ 1/2 (* 1/6 i))
(+ 1/2 (* 1/6 i))
(* 1/6 i)
(* i (+ 1/6 (* 1/2 (/ 1 i))))
(* i (+ 1/6 (* 1/2 (/ 1 i))))
(* i (+ 1/6 (* 1/2 (/ 1 i))))
(* 1/6 i)
(* i (+ 1/6 (* 1/2 (/ 1 i))))
(* i (+ 1/6 (* 1/2 (/ 1 i))))
(* i (+ 1/6 (* 1/2 (/ 1 i))))
(* 100 n)
(+ (* 50 (* i n)) (* 100 n))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
(* 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 (- (* i (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)) 100)))
(* -1 (* n (- (* i (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)) 100)))
(* -1 (* n (- (* i (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)) 100)))
(* -1 (* n (- (* i (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)) 100)))
(* 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)))
(* 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)))))
(* -1 (* n (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)))
(* -1 (* n (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)))
(* -1 (* n (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)))
(* -1 (* n (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)))
(* n (+ 50/3 (* 25/6 i)))
(* n (+ 50/3 (* 25/6 i)))
(* n (+ 50/3 (* 25/6 i)))
(* n (+ 50/3 (* 25/6 i)))
(* n (+ 50/3 (* 25/6 i)))
(* n (+ 50/3 (* 25/6 i)))
(* n (+ 50/3 (* 25/6 i)))
(* n (+ 50/3 (* 25/6 i)))
(* n (+ 50/3 (* 25/6 i)))
(* n (+ 50/3 (* 25/6 i)))
(* n (+ 50/3 (* 25/6 i)))
(* n (+ 50/3 (* 25/6 i)))
(* 50/3 n)
(+ (* 25/6 (* i n)) (* 50/3 n))
(+ (* 25/6 (* i n)) (* 50/3 n))
(+ (* 25/6 (* i n)) (* 50/3 n))
(* 25/6 (* i n))
(* i (+ (* 25/6 n) (* 50/3 (/ n i))))
(* i (+ (* 25/6 n) (* 50/3 (/ n i))))
(* i (+ (* 25/6 n) (* 50/3 (/ n i))))
(* 25/6 (* i n))
(* -1 (* i (+ (* -50/3 (/ n i)) (* -25/6 n))))
(* -1 (* i (+ (* -50/3 (/ n i)) (* -25/6 n))))
(* -1 (* i (+ (* -50/3 (/ n i)) (* -25/6 n))))
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))))
(* 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 i)
(/ 100 i)
(/ 100 i)
(/ 100 i)
(/ 100 i)
(/ 100 i)
(/ 100 i)
(/ 100 i)
(/ 100 i)
(/ 100 i)
(/ 100 i)
(/ 100 i)
Outputs
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(+ (* 50 (* i n)) (* 100 n))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(+ (* 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 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
n
(+ n (* 1/2 (* i n)))
(fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n)
(+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))
(fma.f64 (*.f64 n i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) n)
(+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n))))))
(fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) n)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* i n)
(*.f64 n i)
(* i (+ n (* 1/2 (* i n))))
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(*.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)))
(* -1 (* n (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(* -1 (* n (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(* -1 (* n (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(* -1 (* n (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(* n (+ 50/3 (* 25/6 i)))
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
(* n (+ 50/3 (* 25/6 i)))
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
(* n (+ 50/3 (* 25/6 i)))
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
(* n (+ 50/3 (* 25/6 i)))
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
(* n (+ 50/3 (* 25/6 i)))
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
(* n (+ 50/3 (* 25/6 i)))
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
(* n (+ 50/3 (* 25/6 i)))
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
(* n (+ 50/3 (* 25/6 i)))
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
(* n (+ 50/3 (* 25/6 i)))
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
(* n (+ 50/3 (* 25/6 i)))
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
(* n (+ 50/3 (* 25/6 i)))
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
(* n (+ 50/3 (* 25/6 i)))
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
(* 50/3 n)
(*.f64 n #s(literal 50/3 binary64))
(+ (* 25/6 (* i n)) (* 50/3 n))
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
(+ (* 25/6 (* i n)) (* 50/3 n))
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
(+ (* 25/6 (* i n)) (* 50/3 n))
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
(* 25/6 (* i n))
(*.f64 (*.f64 n i) #s(literal 25/6 binary64))
(* i (+ (* 25/6 n) (* 50/3 (/ n i))))
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
(* i (+ (* 25/6 n) (* 50/3 (/ n i))))
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
(* i (+ (* 25/6 n) (* 50/3 (/ n i))))
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
(* 25/6 (* i n))
(*.f64 (*.f64 n i) #s(literal 25/6 binary64))
(* -1 (* i (+ (* -50/3 (/ n i)) (* -25/6 n))))
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
(* -1 (* i (+ (* -50/3 (/ n i)) (* -25/6 n))))
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
(* -1 (* i (+ (* -50/3 (/ n i)) (* -25/6 n))))
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
50/3
#s(literal 50/3 binary64)
(+ 50/3 (* 25/6 i))
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
(+ 50/3 (* 25/6 i))
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
(+ 50/3 (* 25/6 i))
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
(* 25/6 i)
(*.f64 i #s(literal 25/6 binary64))
(* i (+ 25/6 (* 50/3 (/ 1 i))))
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
(* i (+ 25/6 (* 50/3 (/ 1 i))))
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
(* i (+ 25/6 (* 50/3 (/ 1 i))))
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
(* 25/6 i)
(*.f64 i #s(literal 25/6 binary64))
(* i (+ 25/6 (* 50/3 (/ 1 i))))
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
(* i (+ 25/6 (* 50/3 (/ 1 i))))
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
(* i (+ 25/6 (* 50/3 (/ 1 i))))
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(+ (* 50 (* i n)) (* 100 n))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(+ (* 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 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(/ 100 i)
(/.f64 #s(literal 100 binary64) i)
(/ 100 i)
(/.f64 #s(literal 100 binary64) i)
(/ 100 i)
(/.f64 #s(literal 100 binary64) i)
(/ 100 i)
(/.f64 #s(literal 100 binary64) i)
(/ 100 i)
(/.f64 #s(literal 100 binary64) i)
(/ 100 i)
(/.f64 #s(literal 100 binary64) i)
(/ 100 i)
(/.f64 #s(literal 100 binary64) i)
(/ 100 i)
(/.f64 #s(literal 100 binary64) i)
(/ 100 i)
(/.f64 #s(literal 100 binary64) i)
(/ 100 i)
(/.f64 #s(literal 100 binary64) i)
(/ 100 i)
(/.f64 #s(literal 100 binary64) i)
(/ 100 i)
(/.f64 #s(literal 100 binary64) i)

eval154.0ms (1.1%)

Memory
10.3MiB live, 282.3MiB allocated
Compiler

Compiled 25 909 to 2 493 computations (90.4% saved)

prune140.0ms (1%)

Memory
-0.9MiB live, 321.7MiB allocated
Pruning

53 alts after pruning (44 fresh and 9 done)

PrunedKeptTotal
New1 182171 199
Fresh32730
Picked145
Done156
Total1 187531 240
Accuracy
100.0%
Counts
1 240 → 53
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.1%
(fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
✓59.3%
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
36.0%
(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 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 #s(literal -50 binary64) n))) (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 #s(literal -50 binary64) n))) (*.f64 #s(literal 100 binary64) n))
35.5%
(fma.f64 i (*.f64 (-.f64 (*.f64 #s(literal 2500 binary64) (*.f64 n n)) (*.f64 (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 i i)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n #s(literal 50 binary64)) (*.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i))))) (*.f64 #s(literal 100 binary64) n))
59.2%
(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))
56.1%
(fma.f64 i (*.f64 n #s(literal 50 binary64)) (*.f64 #s(literal 100 binary64) n))
21.6%
(/.f64 (fma.f64 (*.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 i (*.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))) (*.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 (*.f64 n (*.f64 n n)) #s(literal 1000000 binary64))) (fma.f64 #s(literal 10000 binary64) (*.f64 n n) (fma.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))) (*.f64 i (*.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))))) (neg.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))) (*.f64 i (*.f64 n #s(literal 100 binary64))))))))
2.7%
(/.f64 (/.f64 (*.f64 i #s(literal -50 binary64)) n) (/.f64 #s(literal 1 binary64) n))
28.3%
(/.f64 (+.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -100 binary64)) (/.f64 i n))
28.6%
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
56.2%
(/.f64 (*.f64 (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) #s(literal 100 binary64)) i)
✓73.9%
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
50.7%
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
10.5%
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)
10.0%
(/.f64 (*.f64 n (*.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 100 binary64))) (/.f64 i n))
74.3%
(/.f64 (*.f64 n (expm1.f64 i)) (*.f64 i #s(literal 1/100 binary64)))
50.8%
(/.f64 (*.f64 i (*.f64 n #s(literal 100 binary64))) i)
46.6%
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
26.7%
(/.f64 (*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (*.f64 i i) (*.f64 (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 i (*.f64 i i))))) (-.f64 i (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 i i)))) i)) (/.f64 #s(literal 1 binary64) n))
66.1%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 i n))
49.5%
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
53.2%
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 n (*.f64 (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) i))))
56.1%
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
56.0%
(*.f64 (fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64)) (*.f64 n #s(literal 100 binary64)))
✓28.6%
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
17.0%
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
10.0%
(*.f64 (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) i) (*.f64 n #s(literal 100 binary64)))
✓74.4%
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) #s(literal 100 binary64))
50.8%
(*.f64 (/.f64 (*.f64 n i) i) #s(literal 100 binary64))
42.4%
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) i)) #s(literal 1 binary64)) (/.f64 n i))
✓74.3%
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (expm1.f64 i)))
50.6%
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n i))
10.4%
(*.f64 (*.f64 n i) #s(literal 50 binary64))
14.2%
(*.f64 (*.f64 i i) (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))))
10.4%
(*.f64 (*.f64 i #s(literal 50 binary64)) n)
59.2%
(*.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)))
57.3%
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
56.1%
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
11.4%
(*.f64 n (*.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))))
12.4%
(*.f64 n (*.f64 i (*.f64 i #s(literal 50/3 binary64))))
14.1%
(*.f64 n (*.f64 i (*.f64 #s(literal 25/6 binary64) (*.f64 i i))))
✓57.3%
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
24.0%
(*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (exp.f64 i) i) (*.f64 i #s(literal 1 binary64))) (*.f64 i i))))
✓49.7%
(*.f64 n #s(literal 100 binary64))
13.2%
(*.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))))
✓2.7%
(*.f64 i #s(literal -50 binary64))
26.2%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (neg.f64 (/.f64 n i))))
44.1%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i)) #s(literal -1 binary64)) i) (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64))) (/.f64 i n)))
2.9%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) (/.f64 i n)))
7.2%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
16.4%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
✓76.4%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
12.4%
(*.f64 #s(literal 50/3 binary64) (*.f64 n (*.f64 i i)))
Compiler

Compiled 2 033 to 816 computations (59.9% saved)

regimes93.0ms (0.7%)

Memory
-25.9MiB live, 132.8MiB allocated
Counts
85 → 4
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 i (*.f64 n #s(literal 50 binary64)))
(*.f64 (*.f64 i #s(literal 50 binary64)) n)
(*.f64 (*.f64 n i) #s(literal 50 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)))
(*.f64 #s(literal 50/3 binary64) (*.f64 n (*.f64 i i)))
(*.f64 n (*.f64 i (*.f64 i #s(literal 50/3 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 n (*.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))))
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
(fma.f64 i (*.f64 n #s(literal 50 binary64)) (*.f64 #s(literal 100 binary64) n))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
(*.f64 n (*.f64 i (*.f64 #s(literal 25/6 binary64) (*.f64 i i))))
(*.f64 (*.f64 i i) (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n i))
(*.f64 (/.f64 (*.f64 n i) i) #s(literal 100 binary64))
(/.f64 (*.f64 i (*.f64 n #s(literal 100 binary64))) i)
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(*.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 (*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) 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)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 i (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))) i)
(/.f64 (fma.f64 #s(literal 1 binary64) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i 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))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64)) (*.f64 n #s(literal 100 binary64)))
(*.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) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (*.f64 (*.f64 i i) (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 n (*.f64 (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) i))))
(/.f64 (/.f64 (*.f64 i #s(literal -50 binary64)) n) (/.f64 #s(literal 1 binary64) n))
(/.f64 (*.f64 (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #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 (*.f64 i (fma.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 100 binary64)) #s(literal 100 binary64))) (/.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 (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) i)) #s(literal 1 binary64)) (/.f64 n i))
(/.f64 (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i) i)) (/.f64 #s(literal 1 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 #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 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 #s(literal -50 binary64) n))) (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 #s(literal -50 binary64) n))) (*.f64 #s(literal 100 binary64) n))
(*.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)))
(fma.f64 i (*.f64 (-.f64 (*.f64 #s(literal 2500 binary64) (*.f64 n n)) (*.f64 (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 i i)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n #s(literal 50 binary64)) (*.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i))))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i)) #s(literal -1 binary64)) i) (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (expm1.f64 i)))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) #s(literal 100 binary64))
(/.f64 (*.f64 n (expm1.f64 i)) (*.f64 i #s(literal 1/100 binary64)))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 i n))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i)))))
(*.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 (*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (*.f64 i i) (*.f64 (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 i (*.f64 i i))))) (-.f64 i (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 i i)))) i)) (/.f64 #s(literal 1 binary64) n))
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
(*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (exp.f64 i) i) (*.f64 i #s(literal 1 binary64))) (*.f64 i i))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 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 (+.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -100 binary64)) (/.f64 i n))
(*.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 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (neg.f64 (/.f64 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 (fma.f64 (*.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 i (*.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))) (*.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 (*.f64 n (*.f64 n n)) #s(literal 1000000 binary64))) (fma.f64 #s(literal 10000 binary64) (*.f64 n n) (fma.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))) (*.f64 i (*.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))))) (neg.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))) (*.f64 i (*.f64 n #s(literal 100 binary64))))))))
(*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
(*.f64 (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
(/.f64 (*.f64 n (*.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 100 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
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 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
(*.f64 n #s(literal 100 binary64))
Calls

4 calls:

24.0ms
n
23.0ms
i
22.0ms
(/.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
92.7%5i
92.6%5n
94.7%4(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
94.7%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes95.0ms (0.7%)

Memory
-6.6MiB live, 130.4MiB allocated
Counts
84 → 4
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 i (*.f64 n #s(literal 50 binary64)))
(*.f64 (*.f64 i #s(literal 50 binary64)) n)
(*.f64 (*.f64 n i) #s(literal 50 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)))
(*.f64 #s(literal 50/3 binary64) (*.f64 n (*.f64 i i)))
(*.f64 n (*.f64 i (*.f64 i #s(literal 50/3 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 n (*.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))))
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
(fma.f64 i (*.f64 n #s(literal 50 binary64)) (*.f64 #s(literal 100 binary64) n))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
(*.f64 n (*.f64 i (*.f64 #s(literal 25/6 binary64) (*.f64 i i))))
(*.f64 (*.f64 i i) (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n i))
(*.f64 (/.f64 (*.f64 n i) i) #s(literal 100 binary64))
(/.f64 (*.f64 i (*.f64 n #s(literal 100 binary64))) i)
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(*.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 (*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) 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)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 i (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))) i)
(/.f64 (fma.f64 #s(literal 1 binary64) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i 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))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64)) (*.f64 n #s(literal 100 binary64)))
(*.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) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (*.f64 (*.f64 i i) (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 n (*.f64 (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) i))))
(/.f64 (/.f64 (*.f64 i #s(literal -50 binary64)) n) (/.f64 #s(literal 1 binary64) n))
(/.f64 (*.f64 (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #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 (*.f64 i (fma.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 100 binary64)) #s(literal 100 binary64))) (/.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 (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) i)) #s(literal 1 binary64)) (/.f64 n i))
(/.f64 (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i) i)) (/.f64 #s(literal 1 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 #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 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 #s(literal -50 binary64) n))) (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 #s(literal -50 binary64) n))) (*.f64 #s(literal 100 binary64) n))
(*.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)))
(fma.f64 i (*.f64 (-.f64 (*.f64 #s(literal 2500 binary64) (*.f64 n n)) (*.f64 (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 i i)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n #s(literal 50 binary64)) (*.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i))))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i)) #s(literal -1 binary64)) i) (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (expm1.f64 i)))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) #s(literal 100 binary64))
(/.f64 (*.f64 n (expm1.f64 i)) (*.f64 i #s(literal 1/100 binary64)))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 i n))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i)))))
(*.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 (*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (*.f64 i i) (*.f64 (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 i (*.f64 i i))))) (-.f64 i (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 i i)))) i)) (/.f64 #s(literal 1 binary64) n))
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
(*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (exp.f64 i) i) (*.f64 i #s(literal 1 binary64))) (*.f64 i i))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 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 (+.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal -100 binary64)) (/.f64 i n))
(*.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 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (neg.f64 (/.f64 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 (fma.f64 (*.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 i (*.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))) (*.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 (*.f64 n (*.f64 n n)) #s(literal 1000000 binary64))) (fma.f64 #s(literal 10000 binary64) (*.f64 n n) (fma.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))) (*.f64 i (*.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))))) (neg.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))) (*.f64 i (*.f64 n #s(literal 100 binary64))))))))
(*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
(*.f64 (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
(/.f64 (*.f64 n (*.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 100 binary64))) (/.f64 i n))
Outputs
(*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
(*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))
Calls

4 calls:

30.0ms
n
23.0ms
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)))
18.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
86.7%4n
84.4%3i
84.7%4(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
84.7%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes34.0ms (0.2%)

Memory
9.8MiB live, 49.2MiB allocated
Counts
56 → 3
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 i (*.f64 n #s(literal 50 binary64)))
(*.f64 (*.f64 i #s(literal 50 binary64)) n)
(*.f64 (*.f64 n i) #s(literal 50 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)))
(*.f64 #s(literal 50/3 binary64) (*.f64 n (*.f64 i i)))
(*.f64 n (*.f64 i (*.f64 i #s(literal 50/3 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 n (*.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))))
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
(fma.f64 i (*.f64 n #s(literal 50 binary64)) (*.f64 #s(literal 100 binary64) n))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
(*.f64 n (*.f64 i (*.f64 #s(literal 25/6 binary64) (*.f64 i i))))
(*.f64 (*.f64 i i) (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n i))
(*.f64 (/.f64 (*.f64 n i) i) #s(literal 100 binary64))
(/.f64 (*.f64 i (*.f64 n #s(literal 100 binary64))) i)
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(*.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 (*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) 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)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 i (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))) i)
(/.f64 (fma.f64 #s(literal 1 binary64) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i 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))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64)) (*.f64 n #s(literal 100 binary64)))
(*.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) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (*.f64 (*.f64 i i) (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 n (*.f64 (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) i))))
(/.f64 (/.f64 (*.f64 i #s(literal -50 binary64)) n) (/.f64 #s(literal 1 binary64) n))
(/.f64 (*.f64 (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #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 (*.f64 i (fma.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 100 binary64)) #s(literal 100 binary64))) (/.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 (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) i)) #s(literal 1 binary64)) (/.f64 n i))
(/.f64 (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i) i)) (/.f64 #s(literal 1 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 #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 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 #s(literal -50 binary64) n))) (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 #s(literal -50 binary64) n))) (*.f64 #s(literal 100 binary64) n))
(*.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)))
(fma.f64 i (*.f64 (-.f64 (*.f64 #s(literal 2500 binary64) (*.f64 n n)) (*.f64 (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 i i)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n #s(literal 50 binary64)) (*.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i))))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i)) #s(literal -1 binary64)) i) (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
Calls

2 calls:

16.0ms
i
15.0ms
n
Results
AccuracySegmentsBranch
82.9%4i
84.4%3n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes59.0ms (0.4%)

Memory
16.1MiB live, 94.7MiB allocated
Counts
55 → 3
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 i (*.f64 n #s(literal 50 binary64)))
(*.f64 (*.f64 i #s(literal 50 binary64)) n)
(*.f64 (*.f64 n i) #s(literal 50 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)))
(*.f64 #s(literal 50/3 binary64) (*.f64 n (*.f64 i i)))
(*.f64 n (*.f64 i (*.f64 i #s(literal 50/3 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 n (*.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))))
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
(fma.f64 i (*.f64 n #s(literal 50 binary64)) (*.f64 #s(literal 100 binary64) n))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
(*.f64 n (*.f64 i (*.f64 #s(literal 25/6 binary64) (*.f64 i i))))
(*.f64 (*.f64 i i) (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n i))
(*.f64 (/.f64 (*.f64 n i) i) #s(literal 100 binary64))
(/.f64 (*.f64 i (*.f64 n #s(literal 100 binary64))) i)
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(*.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 (*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) 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)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 i (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))) i)
(/.f64 (fma.f64 #s(literal 1 binary64) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i 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))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64)) (*.f64 n #s(literal 100 binary64)))
(*.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) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (*.f64 (*.f64 i i) (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 n (*.f64 (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) i))))
(/.f64 (/.f64 (*.f64 i #s(literal -50 binary64)) n) (/.f64 #s(literal 1 binary64) n))
(/.f64 (*.f64 (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #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 (*.f64 i (fma.f64 i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 100 binary64)) #s(literal 100 binary64))) (/.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 (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) i)) #s(literal 1 binary64)) (/.f64 n i))
(/.f64 (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i) i) i)) (/.f64 #s(literal 1 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 #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 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 #s(literal -50 binary64) n))) (fma.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i) (*.f64 #s(literal -50 binary64) n))) (*.f64 #s(literal 100 binary64) n))
(*.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)))
(fma.f64 i (*.f64 (-.f64 (*.f64 #s(literal 2500 binary64) (*.f64 n n)) (*.f64 (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 i i)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n #s(literal 50 binary64)) (*.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) i))))) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i i)) #s(literal -1 binary64)) i) (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64))) (/.f64 i n)))
Outputs
(/.f64 (*.f64 (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) #s(literal 100 binary64)) i)
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) #s(literal 100 binary64)) i)
Calls

4 calls:

16.0ms
n
15.0ms
i
13.0ms
(*.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)))
12.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
71.7%5i
59.3%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)))
59.3%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
71.3%3n
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes14.0ms (0.1%)

Memory
-18.4MiB live, 24.4MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 i (*.f64 n #s(literal 50 binary64)))
(*.f64 (*.f64 i #s(literal 50 binary64)) n)
(*.f64 (*.f64 n i) #s(literal 50 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)))
(*.f64 #s(literal 50/3 binary64) (*.f64 n (*.f64 i i)))
(*.f64 n (*.f64 i (*.f64 i #s(literal 50/3 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 n (*.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))))
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
(fma.f64 i (*.f64 n #s(literal 50 binary64)) (*.f64 #s(literal 100 binary64) n))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
(*.f64 n (*.f64 i (*.f64 #s(literal 25/6 binary64) (*.f64 i i))))
(*.f64 (*.f64 i i) (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n i))
(*.f64 (/.f64 (*.f64 n i) i) #s(literal 100 binary64))
(/.f64 (*.f64 i (*.f64 n #s(literal 100 binary64))) i)
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(*.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 (*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) 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)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 i (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))) i)
(/.f64 (fma.f64 #s(literal 1 binary64) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i 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))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64)) (*.f64 n #s(literal 100 binary64)))
(*.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) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (*.f64 (*.f64 i i) (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 n (*.f64 (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) i))))
(/.f64 (/.f64 (*.f64 i #s(literal -50 binary64)) n) (/.f64 #s(literal 1 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 (*.f64 i #s(literal 100 binary64)) (/.f64 i 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))
Calls

1 calls:

11.0ms
n
Results
AccuracySegmentsBranch
69.7%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
-22.5MiB live, 17.3MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 i (*.f64 n #s(literal 50 binary64)))
(*.f64 (*.f64 i #s(literal 50 binary64)) n)
(*.f64 (*.f64 n i) #s(literal 50 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)))
(*.f64 #s(literal 50/3 binary64) (*.f64 n (*.f64 i i)))
(*.f64 n (*.f64 i (*.f64 i #s(literal 50/3 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 n (*.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))))
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
(fma.f64 i (*.f64 n #s(literal 50 binary64)) (*.f64 #s(literal 100 binary64) n))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
(*.f64 n (*.f64 i (*.f64 #s(literal 25/6 binary64) (*.f64 i i))))
(*.f64 (*.f64 i i) (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n i))
(*.f64 (/.f64 (*.f64 n i) i) #s(literal 100 binary64))
(/.f64 (*.f64 i (*.f64 n #s(literal 100 binary64))) i)
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(*.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 (*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) 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)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64)))
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
(/.f64 (*.f64 i (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))) i)
(/.f64 (fma.f64 #s(literal 1 binary64) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i 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 (*.f64 i #s(literal 100 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:

9.0ms
n
Results
AccuracySegmentsBranch
69.7%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.1%)

Memory
24.7MiB live, 24.7MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 i (*.f64 n #s(literal 50 binary64)))
(*.f64 (*.f64 i #s(literal 50 binary64)) n)
(*.f64 (*.f64 n i) #s(literal 50 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)))
(*.f64 #s(literal 50/3 binary64) (*.f64 n (*.f64 i i)))
(*.f64 n (*.f64 i (*.f64 i #s(literal 50/3 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 n (*.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))))
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
(fma.f64 i (*.f64 n #s(literal 50 binary64)) (*.f64 #s(literal 100 binary64) n))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
(*.f64 n (*.f64 i (*.f64 #s(literal 25/6 binary64) (*.f64 i i))))
(*.f64 (*.f64 i i) (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n i))
(*.f64 (/.f64 (*.f64 n i) i) #s(literal 100 binary64))
(/.f64 (*.f64 i (*.f64 n #s(literal 100 binary64))) i)
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(*.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 (*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) 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)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) i) (*.f64 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 (/.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) i) (*.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)))
Calls

2 calls:

8.0ms
n
8.0ms
i
Results
AccuracySegmentsBranch
68.0%3i
68.4%3n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes33.0ms (0.2%)

Memory
-5.6MiB live, 32.5MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 i (*.f64 n #s(literal 50 binary64)))
(*.f64 (*.f64 i #s(literal 50 binary64)) n)
(*.f64 (*.f64 n i) #s(literal 50 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)))
(*.f64 #s(literal 50/3 binary64) (*.f64 n (*.f64 i i)))
(*.f64 n (*.f64 i (*.f64 i #s(literal 50/3 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 n (*.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))))
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
(fma.f64 i (*.f64 n #s(literal 50 binary64)) (*.f64 #s(literal 100 binary64) n))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
(*.f64 n (*.f64 i (*.f64 #s(literal 25/6 binary64) (*.f64 i i))))
(*.f64 (*.f64 i i) (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n i))
(*.f64 (/.f64 (*.f64 n i) i) #s(literal 100 binary64))
(/.f64 (*.f64 i (*.f64 n #s(literal 100 binary64))) i)
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(*.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 (*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) 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)))
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)))
Calls

4 calls:

10.0ms
i
8.0ms
n
7.0ms
(*.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)))
7.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
59.2%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)))
59.2%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
59.2%1i
59.2%1n
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes31.0ms (0.2%)

Memory
-8.0MiB live, 31.8MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 i (*.f64 n #s(literal 50 binary64)))
(*.f64 (*.f64 i #s(literal 50 binary64)) n)
(*.f64 (*.f64 n i) #s(literal 50 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)))
(*.f64 #s(literal 50/3 binary64) (*.f64 n (*.f64 i i)))
(*.f64 n (*.f64 i (*.f64 i #s(literal 50/3 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 n (*.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))))
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
(fma.f64 i (*.f64 n #s(literal 50 binary64)) (*.f64 #s(literal 100 binary64) n))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
(*.f64 n (*.f64 i (*.f64 #s(literal 25/6 binary64) (*.f64 i i))))
(*.f64 (*.f64 i i) (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n i))
(*.f64 (/.f64 (*.f64 n i) i) #s(literal 100 binary64))
(/.f64 (*.f64 i (*.f64 n #s(literal 100 binary64))) i)
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(*.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 (*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
Outputs
(*.f64 n (*.f64 i (*.f64 #s(literal 25/6 binary64) (*.f64 i i))))
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
Calls

4 calls:

8.0ms
i
8.0ms
n
7.0ms
(*.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)))
6.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
57.3%1i
59.2%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)))
59.2%2(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
57.3%1n
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes13.0ms (0.1%)

Memory
14.8MiB live, 14.8MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 i (*.f64 n #s(literal 50 binary64)))
(*.f64 (*.f64 i #s(literal 50 binary64)) n)
(*.f64 (*.f64 n i) #s(literal 50 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)))
(*.f64 #s(literal 50/3 binary64) (*.f64 n (*.f64 i i)))
(*.f64 n (*.f64 i (*.f64 i #s(literal 50/3 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 n (*.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))))
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
(fma.f64 i (*.f64 n #s(literal 50 binary64)) (*.f64 #s(literal 100 binary64) n))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
(*.f64 n (*.f64 i (*.f64 #s(literal 25/6 binary64) (*.f64 i i))))
(*.f64 (*.f64 i i) (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n i))
(*.f64 (/.f64 (*.f64 n i) i) #s(literal 100 binary64))
(/.f64 (*.f64 i (*.f64 n #s(literal 100 binary64))) i)
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(*.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 (*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) n))
Outputs
(*.f64 n (*.f64 i (*.f64 #s(literal 25/6 binary64) (*.f64 i i))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
Calls

2 calls:

6.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
6.0ms
(*.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
59.2%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)))
59.2%2(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Compiler

Compiled 32 to 18 computations (43.8% saved)

regimes22.0ms (0.2%)

Memory
-23.7MiB live, 17.1MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 i (*.f64 n #s(literal 50 binary64)))
(*.f64 (*.f64 i #s(literal 50 binary64)) n)
(*.f64 (*.f64 n i) #s(literal 50 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)))
(*.f64 #s(literal 50/3 binary64) (*.f64 n (*.f64 i i)))
(*.f64 n (*.f64 i (*.f64 i #s(literal 50/3 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 n (*.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))))
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
(fma.f64 i (*.f64 n #s(literal 50 binary64)) (*.f64 #s(literal 100 binary64) n))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
Outputs
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
Calls

4 calls:

8.0ms
i
5.0ms
n
4.0ms
(*.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)))
4.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
57.3%1i
57.3%1n
57.3%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)))
57.3%1(/.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)

regimes18.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 i (*.f64 n #s(literal 50 binary64)))
(*.f64 (*.f64 i #s(literal 50 binary64)) n)
(*.f64 (*.f64 n i) #s(literal 50 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)))
(*.f64 #s(literal 50/3 binary64) (*.f64 n (*.f64 i i)))
(*.f64 n (*.f64 i (*.f64 i #s(literal 50/3 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 n (*.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))))
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
(fma.f64 i (*.f64 n #s(literal 50 binary64)) (*.f64 #s(literal 100 binary64) n))
Outputs
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))))
Calls

4 calls:

5.0ms
n
4.0ms
i
4.0ms
(*.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)))
4.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
56.1%1i
56.1%1n
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))
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes14.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 i (*.f64 n #s(literal 50 binary64)))
(*.f64 (*.f64 i #s(literal 50 binary64)) n)
(*.f64 (*.f64 n i) #s(literal 50 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)))
(*.f64 #s(literal 50/3 binary64) (*.f64 n (*.f64 i i)))
(*.f64 n (*.f64 i (*.f64 i #s(literal 50/3 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n))
Outputs
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n))
Calls

4 calls:

4.0ms
i
4.0ms
n
3.0ms
(*.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)))
3.0ms
(/.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)

regimes4.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 i (*.f64 n #s(literal 50 binary64)))
(*.f64 (*.f64 i #s(literal 50 binary64)) n)
(*.f64 (*.f64 n i) #s(literal 50 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)))
(*.f64 #s(literal 50/3 binary64) (*.f64 n (*.f64 i i)))
(*.f64 n (*.f64 i (*.f64 i #s(literal 50/3 binary64))))
Outputs
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
Calls

1 calls:

3.0ms
n
Results
AccuracySegmentsBranch
56.1%1n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory
-26.9MiB live, 10.0MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 i (*.f64 n #s(literal 50 binary64)))
(*.f64 (*.f64 i #s(literal 50 binary64)) n)
(*.f64 (*.f64 n i) #s(literal 50 binary64))
Outputs
(*.f64 n #s(literal 100 binary64))
(*.f64 i (*.f64 n #s(literal 50 binary64)))
Calls

4 calls:

7.0ms
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
49.7%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)))
49.7%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
55.4%2i
49.7%1n
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes3.0ms (0%)

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

2 calls:

2.0ms
i
2.0ms
n
Results
AccuracySegmentsBranch
49.7%1n
49.7%1i
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Memory
6.9MiB live, 6.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
n
1.0ms
i
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
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
2.7%1i
2.7%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)))
2.7%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
2.7%1n
Compiler

Compiled 38 to 22 computations (42.1% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
0.0
8.39436452355062e-173
0.0ms
-1.198112299019367e-75
-1.419484041003617e-107
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch123.0ms (0.9%)

Memory
26.2MiB live, 62.0MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
45.0ms
5.634741781886012e-53
8.955923003109672e-47
29.0ms
4.191099605080243e-197
8.514873400791936e-197
40.0ms
-1.859869741727625e-205
-1.7680068898692765e-209
Samples
48.0ms132×2valid
31.0ms143×1valid
11.0ms203×0invalid
4.0ms75×0valid
2.0ms2×3valid
Compiler

Compiled 503 to 379 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-pow: 44.0ms (56.1% of total)
ival-div: 12.0ms (15.3% of total)
adjust: 8.0ms (10.2% of total)
ival-sub: 5.0ms (6.4% of total)
ival-mult: 5.0ms (6.4% of total)
ival-add: 4.0ms (5.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch115.0ms (0.8%)

Memory
-28.5MiB live, 51.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
51.0ms
1.830150015069652e-43
1.6519240359623673e-37
48.0ms
-1.40844627790305e-105
-1.0921536169241471e-125
Samples
34.0ms200×1valid
32.0ms84×2valid
16.0ms123×0invalid
2.0ms36×0valid
Compiler

Compiled 440 to 315 computations (28.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-pow: 31.0ms (50.4% of total)
ival-div: 10.0ms (16.3% of total)
adjust: 7.0ms (11.4% of total)
ival-add: 4.0ms (6.5% of total)
ival-sub: 4.0ms (6.5% of total)
ival-mult: 4.0ms (6.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch45.0ms (0.3%)

Memory
-6.9MiB live, 30.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.830150015069652e-43
1.6519240359623673e-37
36.0ms
-2.9782799366006202e+88
-2.3454679752749768e+85
Samples
15.0ms56×1valid
12.0ms24×2valid
4.0ms47×0valid
1.0ms1×3valid
Compiler

Compiled 547 to 372 computations (32% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-pow: 17.0ms (63.9% of total)
ival-div: 3.0ms (11.3% of total)
adjust: 2.0ms (7.5% of total)
ival-add: 1.0ms (3.8% of total)
ival-sub: 1.0ms (3.8% of total)
ival-mult: 1.0ms (3.8% 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
3.0MiB live, 3.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.634741781886012e-53
8.955923003109672e-47
1.0ms
-2.9782799366006202e+88
-2.3454679752749768e+85
Compiler

Compiled 463 to 330 computations (28.7% saved)

bsearch2.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.634741781886012e-53
8.955923003109672e-47
1.0ms
-2.9782799366006202e+88
-2.3454679752749768e+85
Compiler

Compiled 445 to 321 computations (27.9% saved)

bsearch50.0ms (0.4%)

Memory
30.0MiB live, 69.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
4.191099605080243e-197
8.514873400791936e-197
31.0ms
-9.939601533701963e-169
-3.455253147244962e-170
Samples
16.0ms46×2valid
11.0ms72×1valid
7.0ms110×0invalid
2.0ms42×0valid
Compiler

Compiled 344 to 267 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-pow: 13.0ms (46.2% of total)
ival-div: 5.0ms (17.8% of total)
adjust: 3.0ms (10.7% of total)
ival-add: 2.0ms (7.1% of total)
ival-mult: 2.0ms (7.1% of total)
ival-sub: 2.0ms (7.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-inf
-2667.081042943176
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-inf
-2667.081042943176
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch45.0ms (0.3%)

Memory
-13.9MiB live, 25.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
42.0ms
1.5070128845648445e+20
1.2268429733216033e+37
Samples
29.0ms137×1valid
4.0ms45×0invalid
2.0ms23×0valid
Compiler

Compiled 160 to 125 computations (21.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-pow: 15.0ms (53.1% of total)
ival-div: 5.0ms (17.7% of total)
ival-add: 3.0ms (10.6% of total)
adjust: 3.0ms (10.6% of total)
ival-sub: 2.0ms (7.1% of total)
ival-mult: 2.0ms (7.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB allocated
Algorithm
1×egg-herbie
Rules
58×*-commutative_binary64
8×+-commutative_binary64
4×sub-neg_binary64
2×mul-1-neg_binary64
2×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120470
1154470
2157470
3162470
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -1018517988167243/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 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 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i) (*.f64 n #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -1064178828087935/23134322349737717735007099635340311456574291245888123082206428617627187858318938111228919160792924135185595314161942499967986047925275778642956722900885062503881081581426410459731001937860227299113020288850612472756100399104 binary64)) (*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))) (if (<=.f64 n #s(literal 5049730465486439/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64))) (if (<=.f64 n #s(literal 4422293497800741/51422017416287688817342786954917203280710495801049370729644032 binary64)) (/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n)) (*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))))))
(if (<=.f64 n #s(literal -451893728665209/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (if (<=.f64 n #s(literal 7901930132589739/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))))
(if (<=.f64 n #s(literal -23999999999999999660962050857140573999805445481049176177575761675036457225775134801920 binary64)) (/.f64 (*.f64 (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) #s(literal 100 binary64)) i) (if (<=.f64 n #s(literal 7901930132589739/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n)) (/.f64 (*.f64 (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) #s(literal 100 binary64)) i)))
(if (<=.f64 n #s(literal -23999999999999999660962050857140573999805445481049176177575761675036457225775134801920 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 4422293497800741/51422017416287688817342786954917203280710495801049370729644032 binary64)) (/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i 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))))
(if (<=.f64 n #s(literal -23999999999999999660962050857140573999805445481049176177575761675036457225775134801920 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 4422293497800741/51422017416287688817342786954917203280710495801049370729644032 binary64)) (/.f64 (*.f64 i #s(literal 100 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 -6798566308054619/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048 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 1788446206526447/21040543606193494028963959531520514662201359211292695437993123612274928617188323288454666145110353804907931875424712870852077729000735215452511259082607523399820894684513778392766655031537290869085173006943125504 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) i) (*.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 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 (/.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 n (*.f64 i (*.f64 #s(literal 25/6 binary64) (*.f64 i i)))) (fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.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 -inf.0 binary64)) (*.f64 n (*.f64 i (*.f64 #s(literal 25/6 binary64) (*.f64 i i)))) (*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n))
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(if (<=.f64 i #s(literal 155000000000000000000 binary64)) (*.f64 n #s(literal 100 binary64)) (*.f64 i (*.f64 n #s(literal 50 binary64))))
(*.f64 n #s(literal 100 binary64))
(*.f64 i #s(literal -50 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 -1018517988167243/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 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 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) 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 -1018517988167243/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 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 (*.f64 n (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64))) i) (*.f64 n #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -1064178828087935/23134322349737717735007099635340311456574291245888123082206428617627187858318938111228919160792924135185595314161942499967986047925275778642956722900885062503881081581426410459731001937860227299113020288850612472756100399104 binary64)) (*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))) (if (<=.f64 n #s(literal 5049730465486439/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) i) (*.f64 n #s(literal 100 binary64))) (if (<=.f64 n #s(literal 4422293497800741/51422017416287688817342786954917203280710495801049370729644032 binary64)) (/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n)) (*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))))))
(if (<=.f64 n #s(literal -1064178828087935/23134322349737717735007099635340311456574291245888123082206428617627187858318938111228919160792924135185595314161942499967986047925275778642956722900885062503881081581426410459731001937860227299113020288850612472756100399104 binary64)) (*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))) (if (<=.f64 n #s(literal 5049730465486439/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016 binary64)) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) i)) (if (<=.f64 n #s(literal 4422293497800741/51422017416287688817342786954917203280710495801049370729644032 binary64)) (/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n)) (*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))))))
(if (<=.f64 n #s(literal -451893728665209/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (if (<=.f64 n #s(literal 7901930132589739/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))))
(if (<=.f64 n #s(literal -23999999999999999660962050857140573999805445481049176177575761675036457225775134801920 binary64)) (/.f64 (*.f64 (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) #s(literal 100 binary64)) i) (if (<=.f64 n #s(literal 7901930132589739/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n)) (/.f64 (*.f64 (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) #s(literal 100 binary64)) i)))
(if (<=.f64 n #s(literal -23999999999999999660962050857140573999805445481049176177575761675036457225775134801920 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i))) i) (if (<=.f64 n #s(literal 7901930132589739/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n)) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i))) i)))
(if (<=.f64 n #s(literal -23999999999999999660962050857140573999805445481049176177575761675036457225775134801920 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 4422293497800741/51422017416287688817342786954917203280710495801049370729644032 binary64)) (/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i 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))))
(if (<=.f64 n #s(literal -23999999999999999660962050857140573999805445481049176177575761675036457225775134801920 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 4422293497800741/51422017416287688817342786954917203280710495801049370729644032 binary64)) (/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i 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 n #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -23999999999999999660962050857140573999805445481049176177575761675036457225775134801920 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 4422293497800741/51422017416287688817342786954917203280710495801049370729644032 binary64)) (/.f64 (*.f64 i #s(literal 100 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 -6798566308054619/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048 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 1788446206526447/21040543606193494028963959531520514662201359211292695437993123612274928617188323288454666145110353804907931875424712870852077729000735215452511259082607523399820894684513778392766655031537290869085173006943125504 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 binary64)) i) (*.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)))))
(if (<=.f64 n #s(literal -6798566308054619/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048 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 1788446206526447/21040543606193494028963959531520514662201359211292695437993123612274928617188323288454666145110353804907931875424712870852077729000735215452511259082607523399820894684513778392766655031537290869085173006943125504 binary64)) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) #s(literal -1 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)))))
(*.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 (/.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 n (*.f64 i (*.f64 #s(literal 25/6 binary64) (*.f64 i i)))) (fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.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 -inf.0 binary64)) (*.f64 n (*.f64 i (*.f64 (*.f64 i i) #s(literal 25/6 binary64)))) (fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.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 -inf.0 binary64)) (*.f64 n (*.f64 i (*.f64 #s(literal 25/6 binary64) (*.f64 i i)))) (*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #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 -inf.0 binary64)) (*.f64 n (*.f64 i (*.f64 (*.f64 i i) #s(literal 25/6 binary64)))) (*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n))
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(if (<=.f64 i #s(literal 155000000000000000000 binary64)) (*.f64 n #s(literal 100 binary64)) (*.f64 i (*.f64 n #s(literal 50 binary64))))
(*.f64 n #s(literal 100 binary64))
(*.f64 i #s(literal -50 binary64))

soundness1.3s (9.4%)

Memory
-38.0MiB live, 53.7MiB allocated
Rules
16 376×lower-fma.f64
16 376×lower-fma.f32
11 188×lower-fma.f64
11 188×lower-fma.f32
10 864×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01812536
16132396
218472350
342542330
084501923
05153831
116243489
255233268
081372980
06146108
119485708
263015445
082264890
028168
055164
1240157
21897157
08598157
01044
01644
17344
257044
3735444
0866938
09779075
131498442
086187655
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1 195 to 622 computations (47.9% saved)

preprocess95.0ms (0.7%)

Memory
7.0MiB live, 82.5MiB allocated
Compiler

Compiled 1 062 to 294 computations (72.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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