Compound Interest

Time bar (total: 18.0s)

analyze289.0ms (1.6%)

Memory
10.2MiB live, 129.4MiB 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)

sample3.7s (20.8%)

Memory
50.3MiB live, 4 469.6MiB allocated
Samples
1.9s4 409×1valid
922.0ms1 638×2valid
178.0ms2 147×0valid
144.0ms1 986×0invalid
53.0ms62×3valid
2.0ms19×1exit
Precisions
Click to see histograms. Total time spent on operations: 2.8s
ival-pow: 1.6s (59.3% of total)
ival-div: 558.0ms (20.1% of total)
adjust: 185.0ms (6.7% of total)
ival-mult: 123.0ms (4.4% of total)
ival-sub: 121.0ms (4.4% of total)
ival-add: 118.0ms (4.2% of total)
exact: 15.0ms (0.5% of total)
ival-true: 8.0ms (0.3% of total)
ival-assert: 4.0ms (0.1% of total)
Bogosity

preprocess290.0ms (1.6%)

Memory
-25.9MiB live, 245.7MiB 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)))

explain356.0ms (2%)

Memory
40.8MiB live, 632.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1880-0-(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
5978(-5.136253043402786e-120 -7.317390340874059e+117)0-(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
370-2(-1.0844023477354484e-256 3.0622928559261564e+59)(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
11(1.566891492490917e-90 2.0661691704428115e-209)1(1.9126752871127536e-188 2.0859562032415074e-254)(*.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-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-#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))cancellation1880
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)sensitivity1130
/.f64(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))n/u350
↳(/.f64 i n)underflow35
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)oflow-rescue240
↳(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)overflow29
↳(/.f64 i n)overflow24
↳(+.f64 #s(literal 1 binary64) (/.f64 i n))overflow24
*.f64(*.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)))n*u10
Confusion
Predicted +Predicted -
+1870
-3237
Precision
0.8538812785388128
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+18700
-32037
Precision?
0.8538812785388128
Recall?
1.0
Freqs
test
numberfreq
037
1112
272
335
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
90.0ms256×1valid
83.0ms166×2valid
10.0ms86×0valid
4.0ms4×3valid
Compiler

Compiled 150 to 44 computations (70.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 149.0ms
ival-pow: 82.0ms (54.9% of total)
ival-div: 36.0ms (24.1% of total)
adjust: 11.0ms (7.4% of total)
ival-sub: 7.0ms (4.7% of total)
ival-add: 7.0ms (4.7% of total)
ival-mult: 6.0ms (4% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶29.3%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 17 to 10 computations (41.2% saved)

simplify167.0ms (0.9%)

Memory
-3.3MiB live, 152.4MiB 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

localize111.0ms (0.6%)

Memory
-50.2MiB live, 224.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
✓accuracy86.8%
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
✓accuracy78.6%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓accuracy32.2%
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
Samples
51.0ms128×1valid
34.0ms83×2valid
4.0ms43×0valid
2.0ms2×3valid
Compiler

Compiled 58 to 12 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-pow: 42.0ms (55.4% of total)
ival-mult: 15.0ms (19.8% of total)
ival-div: 8.0ms (10.5% of total)
adjust: 5.0ms (6.6% of total)
ival-sub: 3.0ms (4% of total)
ival-add: 3.0ms (4% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory
-6.1MiB live, 32.2MiB 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))

rewrite293.0ms (1.6%)

Memory
4.0MiB live, 478.0MiB 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)))
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(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 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))))

simplify420.0ms (2.3%)

Memory
53.7MiB live, 557.4MiB 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))
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(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i))
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(* 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))

eval207.0ms (1.2%)

Memory
-4.6MiB live, 114.0MiB allocated
Compiler

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

prune241.0ms (1.3%)

Memory
1.2MiB live, 199.1MiB allocated
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New57121592
Fresh000
Picked101
Done000
Total57221593
Accuracy
99.9%
Counts
593 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶20.8%
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
29.4%
(/.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)
▶68.4%
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
53.8%
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
28.9%
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 n i)))
13.1%
(*.f64 (*.f64 n n) (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 n (+.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) i) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i))) (/.f64 #s(literal -1/2 binary64) (*.f64 i (*.f64 i i)))) (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) i) (/.f64 #s(literal 1 binary64) (*.f64 i i)))) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
▶49.8%
(*.f64 n #s(literal 100 binary64))
21.4%
(*.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)))
21.5%
(*.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)))
51.6%
(*.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))
38.8%
(*.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)))
41.2%
(*.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)))
11.3%
(*.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)))
▶10.8%
(*.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)))
17.6%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
21.2%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
13.9%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
68.9%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
▶76.3%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
24.1%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) i) (/.f64 (*.f64 n n) i)))
13.6%
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
Compiler

Compiled 840 to 526 computations (37.4% saved)

simplify1.0s (5.7%)

Memory
-3.3MiB live, 349.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n)
✓cost-diff0
(/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)
✓cost-diff128
(*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))
✓cost-diff1024
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
✓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
6 988×lower-fma.f32
6 982×lower-fma.f64
2 720×lower-*.f32
2 704×lower-*.f64
2 606×lower--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031229
062220
1124214
2275213
3766205
42316205
54630205
08128205
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)
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
#s(literal 1 binary64)
(/.f64 i n)
i
n
#s(literal 100 binary64)
(*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))
(/.f64 (neg.f64 n) i)
(neg.f64 n)
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(*.f64 (/.f64 n i) (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 binary64)))
#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 (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 100 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 i (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) 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 (*.f64 #s(literal 100 binary64) (*.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)
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 (/.f64 n i) (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 binary64)))
(/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 n i))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n)
(*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+.f64 (/.f64 i n) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 i n)
i
n
#s(literal 100 binary64)
(*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))
(/.f64 (*.f64 n #s(literal -100 binary64)) i)
(/.f64 (neg.f64 n) i)
(/.f64 n (neg.f64 i))
(neg.f64 n)

localize739.0ms (4.1%)

Memory
35.6MiB live, 419.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n)
✓accuracy99.7%
(*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))
✓accuracy80.9%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓accuracy41.3%
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
✓accuracy100.0%
(*.f64 n (expm1.f64 i))
✓accuracy100.0%
(expm1.f64 i)
✓accuracy99.8%
(*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64))
✓accuracy87.7%
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
✓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)))
✓accuracy99.9%
(fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))
✓accuracy73.5%
(/.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))
✓accuracy53.4%
(-.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)))
✓accuracy90.9%
(log1p.f64 (/.f64 i n))
✓accuracy87.2%
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
✓accuracy87.0%
(*.f64 n (log1p.f64 (/.f64 i n)))
Samples
242.0ms175×2valid
78.0ms60×0valid
52.0ms8×5exit
29.0ms4×1valid
2.0ms9×0invalid
Compiler

Compiled 265 to 36 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 248.0ms
ival-mult: 65.0ms (26.2% of total)
adjust: 48.0ms (19.4% of total)
ival-pow: 45.0ms (18.2% of total)
ival-add: 45.0ms (18.2% of total)
ival-div: 24.0ms (9.7% of total)
ival-expm1: 7.0ms (2.8% of total)
ival-log1p: 5.0ms (2% of total)
ival-sub: 4.0ms (1.6% of total)
ival-neg: 2.0ms (0.8% of total)
exact: 1.0ms (0.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series60.0ms (0.3%)

Memory
-34.6MiB live, 123.8MiB allocated
Counts
20 → 456
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 (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))>
#<alt (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))>
#<alt (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)>
#<alt (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) 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))>
#<alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)>
Outputs
#<alt (* n (+ (log i) (* -1 (log n))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))>
#<alt (- (exp i) 1)>
#<alt (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)>
#<alt (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)>
#<alt (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)>
#<alt (- (exp i) 1)>
#<alt (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)>
#<alt (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)>
#<alt (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)>
#<alt i>
#<alt (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))>
#<alt (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))>
#<alt (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)>
#<alt (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)>
#<alt (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)>
#<alt (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1)>
#<alt (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)>
#<alt (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) 1)>
#<alt (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) 1)>
#<alt (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) 1)>
#<alt (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)>
#<alt (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))>
#<alt (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))>
#<alt (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))>
#<alt (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))>
#<alt (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))>
#<alt (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))>
#<alt (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))>
#<alt n>
#<alt (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)>
#<alt (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i)>
#<alt (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)>
#<alt (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)>
#<alt (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)>
#<alt (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))>
#<alt (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i))) i))>
#<alt (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) i)) (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i))>
#<alt (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))>
#<alt (* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))>
#<alt (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))>
#<alt (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))>
#<alt (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))>
#<alt (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))>
#<alt (* 100 n)>
#<alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))>
#<alt (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))>
#<alt (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))>
#<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 (* n (+ (log i) (* -1 (log n))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (/ n i))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i))))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))>
#<alt i>
#<alt (+ i (* -1/2 (/ (pow i 2) n)))>
#<alt (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))>
#<alt (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2))))))>
#<alt i>
#<alt (+ i (* -1/2 (/ (pow i 2) n)))>
#<alt (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))>
#<alt (+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))>
#<alt i>
#<alt (* i (+ 1 (* -1/2 (/ i n))))>
#<alt (* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))>
#<alt (* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))>
#<alt (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))>
#<alt (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))>
#<alt (+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i)))>
#<alt (+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* 1/3 (/ (pow n 4) (pow i 3))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))))>
#<alt (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))>
#<alt (+ (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))) (/ (pow n 2) i))>
#<alt (+ (* -1 (/ (+ (* -1 (pow n 2)) (* 1/2 (/ (pow n 3) i))) i)) (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow n 3)) (* 1/3 (/ (pow n 4) i))) i)) (* -1 (pow n 2))) i)) (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))>
#<alt (* 100 n)>
#<alt (* 100 n)>
#<alt (* 100 n)>
#<alt (* 100 n)>
#<alt (* 100 n)>
#<alt (* 100 n)>
#<alt (* 100 n)>
#<alt (* 100 n)>
#<alt (* 100 n)>
#<alt (* 100 n)>
#<alt (* 100 n)>
#<alt (* 100 n)>
#<alt n>
#<alt (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))>
#<alt (* i (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i)))>
#<alt (* i (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i)))>
#<alt (* i (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i)))>
#<alt (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))>
#<alt (* -1 (* i (+ (* -1 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -1 (/ n i)))))>
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#<alt (* -1 (* i (+ (* -1 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -1 (/ n i)))))>
#<alt (* -1/2 i)>
#<alt (+ (* -1/2 i) (* n (+ 1 (* 1/2 i))))>
#<alt (+ (* -1/2 i) (* n (+ 1 (* 1/2 i))))>
#<alt (+ (* -1/2 i) (* n (+ 1 (* 1/2 i))))>
#<alt (* n (+ 1 (* 1/2 i)))>
#<alt (* n (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i))))>
#<alt (* n (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i))))>
#<alt (* n (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i))))>
#<alt (* n (+ 1 (* 1/2 i)))>
#<alt (* -1 (* n (+ (* -1 (+ 1 (* 1/2 i))) (* 1/2 (/ i n)))))>
#<alt (* -1 (* n (+ (* -1 (+ 1 (* 1/2 i))) (* 1/2 (/ i n)))))>
#<alt (* -1 (* n (+ (* -1 (+ 1 (* 1/2 i))) (* 1/2 (/ i n)))))>
#<alt i>
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#<alt (* (pow i 2) (- 1/2 (* 1/2 (/ 1 n))))>
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#<alt (+ (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))>
#<alt (+ (* -1 (/ (+ (* -1 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)) (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))>
#<alt (+ (* -1 (/ (+ (* -1 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) i))) i)) (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))>
#<alt n>
#<alt (* n (+ 1 (* n (+ (log i) (* -1 (log n))))))>
#<alt (* n (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))))>
#<alt (* n (+ 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 (* n (exp i))>
#<alt (* n (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))))>
#<alt (* 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)))))>
#<alt (* n (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))>
#<alt (* n (exp i))>
#<alt (* -1 (* n (+ (* -1 (exp i)) (* 1/2 (/ (* (pow i 2) (exp i)) n)))))>
#<alt (* -1 (* n (+ (* -1 (exp i)) (* -1 (/ (+ (* -1/2 (* (pow i 2) (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) n)))))>
#<alt (* -1 (* n (+ (* -1 (exp i)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) n)) (* -1/2 (* (pow i 2) (exp i)))) n)))))>
#<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)))>
#<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

114 calls:

TimeVariablePointExpression
11.0ms
n
@0
(- (exp (* n (log (+ 1 (/ i n))))) 1)
8.0ms
n
@0
(/ (* (pow (+ 1 (/ i n)) n) n) i)
4.0ms
i
@inf
(/ (- (+ (* i (+ (* i (- 1/2 (/ 1/2 n))) 1)) 1) 1) (/ i n))
3.0ms
i
@inf
(/ (* (* n (- (exp i) 1)) 100) i)
1.0ms
i
@-inf
(/ (* (* n (- (exp i) 1)) 100) i)

rewrite419.0ms (2.3%)

Memory
5.5MiB live, 792.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 798×lower-*.f32
4 782×lower-*.f64
4 198×lower-/.f32
4 184×lower-/.f64
3 630×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031184
062175
1260169
22101169
08261169
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 939
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)
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))
(/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n)
(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))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
Outputs
(+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))
(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))
(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)))))
(/.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 (+.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)))
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(exp.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
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(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
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(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)))
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simplify581.0ms (3.2%)

Memory
-15.0MiB live, 940.7MiB allocated
Algorithm
1×egg-herbie
Rules
11 112×lower-fma.f64
11 112×lower-fma.f32
6 928×lower-+.f64
6 928×lower-+.f32
6 378×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09779790
131499105
085888310
Stop Event
1×iter limit
1×node limit
Counts
456 → 446
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)))))))
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(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))
1
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
Outputs
(* n (+ (log i) (* -1 (log n))))
(*.f64 n (-.f64 (log.f64 i) (log.f64 n)))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))
(*.f64 n (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 (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 -1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64))))) (*.f64 n (*.f64 n n)))) (*.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) (/.f64 (exp.f64 i) 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 (*.f64 (neg.f64 (exp.f64 i)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64))))) n)) n)) (neg.f64 n)) (expm1.f64 i))
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(fma.f64 (*.f64 i 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) (+.f64 #s(literal 1/2 binary64) (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) 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) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 #s(literal 1/6 binary64) (fma.f64 i (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (-.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))) (/.f64 #s(literal -1/2 binary64) n))) 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 (*.f64 n n) (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) (/.f64 (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (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))) (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 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64)))) i))) 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)
(/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.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))))
(*.f64 (*.f64 n n) (fma.f64 n (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 binary64) (*.f64 i i))) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) 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))))
(*.f64 (*.f64 n n) (fma.f64 n (fma.f64 n (+.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (log.f64 n) (*.f64 i i))) (/.f64 #s(literal -1/2 binary64) (*.f64 i (*.f64 i i)))) (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 binary64) (*.f64 i i)))) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) 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))))
(*.f64 (*.f64 n n) (fma.f64 n (fma.f64 n (+.f64 (-.f64 (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i (*.f64 i i))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 4 binary64)) i) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (*.f64 i i)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 i (*.f64 i i))) (/.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 4 binary64))))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i)))) (/.f64 (log.f64 n) (*.f64 i i))) (/.f64 #s(literal -1/2 binary64) (*.f64 i (*.f64 i i)))) (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 binary64) (*.f64 i i)))) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))))
(/ (* n (- (exp i) 1)) i)
(*.f64 n (/.f64 (expm1.f64 i) i))
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))
(*.f64 n (fma.f64 #s(literal -1/2 binary64) (*.f64 i (/.f64 (exp.f64 i) n)) (/.f64 (expm1.f64 i) 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)))
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eval246.0ms (1.4%)

Memory
30.1MiB live, 491.3MiB allocated
Compiler

Compiled 40 325 to 4 171 computations (89.7% saved)

prune235.0ms (1.3%)

Memory
21.2MiB live, 449.3MiB allocated
Pruning

39 alts after pruning (36 fresh and 3 done)

PrunedKeptTotal
New1 355301 385
Fresh10616
Picked235
Done000
Total1 367391 406
Accuracy
99.9%
Counts
1 406 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.1%
(fma.f64 (/.f64 (fma.f64 n i n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
20.9%
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) i))
13.1%
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
21.6%
(fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) i))
▶21.3%
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) i))
53.8%
(fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
58.6%
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
57.1%
(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 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i (*.f64 i (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))) (*.f64 i i))
15.9%
(/.f64 (fma.f64 #s(literal 100 binary64) i (*.f64 (/.f64 i (neg.f64 n)) (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))) (*.f64 (/.f64 i (neg.f64 n)) i))
29.4%
(/.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)
53.4%
(/.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)
18.4%
(/.f64 (*.f64 (*.f64 n (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) #s(literal 100 binary64)) i)
✓68.4%
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
48.9%
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
15.8%
(/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i)
51.7%
(/.f64 (*.f64 i (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))) i)
21.4%
(/.f64 #s(literal 0 binary64) i)
40.3%
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 i i) i) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
28.9%
(*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
54.2%
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
▶74.1%
(*.f64 n (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i)))
✓49.8%
(*.f64 n #s(literal 100 binary64))
▶2.7%
(*.f64 i #s(literal -50 binary64))
21.4%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)))
21.5%
(*.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)))
54.2%
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n))
15.4%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i (neg.f64 n)) i) (*.f64 i (/.f64 i (neg.f64 n)))))
14.8%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
16.9%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (*.f64 i i)))
45.1%
(*.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)))
5.8%
(*.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)))
▶17.6%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
29.3%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) i))
13.9%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
▶68.9%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
16.5%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 i n)))
✓76.3%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
13.6%
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
Compiler

Compiled 1 250 to 804 computations (35.7% saved)

simplify573.0ms (3.2%)

Memory
-185.2MiB live, 494.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) i)
✓cost-diff0
(/.f64 #s(literal 100 binary64) i)
✓cost-diff0
(neg.f64 n)
✓cost-diff1152
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) i))
✓cost-diff0
(expm1.f64 i)
✓cost-diff0
(*.f64 n (expm1.f64 i))
✓cost-diff0
(/.f64 (*.f64 n (expm1.f64 i)) i)
✓cost-diff0
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
✓cost-diff0
(+.f64 i #s(literal 1 binary64))
✓cost-diff0
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
✓cost-diff384
(-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64))
✓cost-diff1408
(/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))
✓cost-diff0
(*.f64 i #s(literal -50 binary64))
✓cost-diff0
(expm1.f64 i)
✓cost-diff0
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
✓cost-diff0
(*.f64 n (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i)))
✓cost-diff320
(*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i))
Rules
9 128×lower-fma.f32
9 126×lower-fma.f64
3 928×lower-*.f32
3 910×lower-*.f64
2 560×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027170
051158
199150
2224142
3566142
41870142
57000142
08065141
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 n (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i)))
n
(*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
#s(literal 100 binary64)
(expm1.f64 i)
i
(/.f64 #s(literal 1 binary64) i)
#s(literal 1 binary64)
(*.f64 i #s(literal -50 binary64))
i
#s(literal -50 binary64)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
#s(literal 100 binary64)
(/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))
(-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 i #s(literal 1 binary64))
i
#s(literal 1 binary64)
(/.f64 i n)
n
(*.f64 #s(literal 100 binary64) (/.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
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) i))
(neg.f64 n)
n
(/.f64 #s(literal 100 binary64) i)
#s(literal 100 binary64)
i
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) i)
(*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
(*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(/.f64 i n)
#s(literal 1 binary64)
Outputs
(*.f64 n (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i)))
(*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))
n
(*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
#s(literal 100 binary64)
(expm1.f64 i)
i
(/.f64 #s(literal 1 binary64) i)
#s(literal 1 binary64)
(*.f64 i #s(literal -50 binary64))
i
#s(literal -50 binary64)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 n #s(literal 100 binary64))
#s(literal 100 binary64)
(/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))
n
(-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64))
i
(+.f64 i #s(literal 1 binary64))
i
#s(literal 1 binary64)
(/.f64 i n)
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)))
#s(literal 100 binary64)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 n (expm1.f64 i))
n
(expm1.f64 i)
i
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) i))
(*.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)))
(neg.f64 n)
n
(/.f64 #s(literal 100 binary64) i)
#s(literal 100 binary64)
i
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) i)
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 n (/.f64 #s(literal 100 binary64) i)))
(*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 n #s(literal 100 binary64)))
(*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(/.f64 i n)
#s(literal 1 binary64)

localize212.0ms (1.2%)

Memory
29.0MiB live, 429.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
✓accuracy99.8%
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) i)
✓accuracy79.3%
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
✓accuracy42.1%
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) i))
✓accuracy100.0%
(*.f64 n (expm1.f64 i))
✓accuracy100.0%
(expm1.f64 i)
✓accuracy99.9%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
✓accuracy88.0%
(/.f64 (*.f64 n (expm1.f64 i)) i)
✓accuracy100.0%
(+.f64 i #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
✓accuracy78.8%
(/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))
✓accuracy51.0%
(-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 i #s(literal -50 binary64))
✓accuracy100.0%
(expm1.f64 i)
✓accuracy100.0%
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
✓accuracy99.9%
(*.f64 n (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i)))
✓accuracy99.7%
(*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i))
Samples
77.0ms109×1valid
57.0ms69×2valid
18.0ms68×0valid
15.0ms8×5exit
2.0ms2×3valid
Compiler

Compiled 189 to 30 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 124.0ms
ival-pow: 47.0ms (37.9% of total)
ival-mult: 27.0ms (21.8% of total)
ival-div: 19.0ms (15.3% of total)
adjust: 13.0ms (10.5% of total)
ival-add: 7.0ms (5.6% of total)
ival-expm1: 6.0ms (4.8% of total)
ival-neg: 2.0ms (1.6% of total)
ival-sub: 2.0ms (1.6% of total)
exact: 1.0ms (0.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory
0.9MiB live, 38.8MiB allocated
Counts
18 → 336
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i))>
#<alt (*.f64 n (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i)))>
#<alt (*.f64 #s(literal 100 binary64) (expm1.f64 i))>
#<alt (expm1.f64 i)>
#<alt (*.f64 i #s(literal -50 binary64))>
#<alt (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))>
#<alt (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))>
#<alt (+.f64 i #s(literal 1 binary64))>
#<alt (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))>
#<alt (/.f64 (*.f64 n (expm1.f64 i)) i)>
#<alt (*.f64 n (expm1.f64 i))>
#<alt (fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) i))>
#<alt (neg.f64 n)>
#<alt (/.f64 #s(literal 100 binary64) i)>
#<alt (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) i)>
#<alt (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)>
#<alt (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))>
Outputs
#<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 (* 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 i)>
#<alt (* i (+ 100 (* 50 i)))>
#<alt (* i (+ 100 (* i (+ 50 (* 50/3 i)))))>
#<alt (* i (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))>
#<alt (* 100 (- (exp i) 1))>
#<alt (* 100 (- (exp i) 1))>
#<alt (* 100 (- (exp i) 1))>
#<alt (* 100 (- (exp i) 1))>
#<alt (* 100 (- (exp i) 1))>
#<alt (* 100 (- (exp i) 1))>
#<alt (* 100 (- (exp i) 1))>
#<alt (* 100 (- (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)>
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#<alt n>
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#<alt (* -1 (* n (+ (* -1 (exp i)) (* 1/2 (/ (* (pow i 2) (exp i)) n)))))>
#<alt (* -1 (* n (+ (* -1 (exp i)) (* -1 (/ (+ (* -1/2 (* (pow i 2) (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) n)))))>
#<alt (* -1 (* n (+ (* -1 (exp i)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) n)) (* -1/2 (* (pow i 2) (exp i)))) n)))))>
#<alt n>
#<alt (+ n (* i n))>
#<alt (+ n (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))>
#<alt (+ n (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))>
#<alt (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))>
#<alt (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))>
#<alt (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))>
#<alt (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))>
#<alt (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))>
#<alt (+ (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))>
#<alt (+ (* -1 (/ (+ (* -1 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)) (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))>
#<alt (+ (* -1 (/ (+ (* -1 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) i))) i)) (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))>
Calls

84 calls:

TimeVariablePointExpression
3.0ms
i
@-inf
(* (* 100 (- (exp i) 1)) (/ 1 i))
2.0ms
n
@0
(/ (* 100 (* n (pow (+ (/ i n) 1) n))) i)
1.0ms
i
@inf
(* (* 100 (- (exp i) 1)) (/ 1 i))
0.0ms
i
@-inf
(* i -50)
0.0ms
i
@-inf
(* 100 (- (exp i) 1))

rewrite339.0ms (1.9%)

Memory
4.2MiB live, 511.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 348×lower-*.f32
5 330×lower-*.f64
4 888×lower-/.f32
4 876×lower-/.f64
2 928×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027126
051116
1195110
21503108
08616108
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 649
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i))
(*.f64 n (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i)))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
(expm1.f64 i)
(*.f64 i #s(literal -50 binary64))
(/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))
(-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(+.f64 i #s(literal 1 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 n (expm1.f64 i))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) i))
(neg.f64 n)
(/.f64 #s(literal 100 binary64) i)
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) i)
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
Outputs
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (expm1.f64 i)))))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i))) (neg.f64 i))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) #s(literal -1 binary64)) (neg.f64 i))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 100 binary64) (expm1.f64 i))) (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 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) #s(literal -1 binary64))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 100 binary64) (expm1.f64 i)))) (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 #s(literal 100 binary64) i))
(*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))
(*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 #s(literal 100 binary64) (expm1.f64 i)))
(*.f64 (/.f64 #s(literal 100 binary64) i) (expm1.f64 i))
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 (expm1.f64 i) n)))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) n)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) n))))
(/.f64 #s(literal -100 binary64) (neg.f64 (/.f64 i (*.f64 (expm1.f64 i) n))))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) n) i)
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) n)) (neg.f64 i))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) n) #s(literal 1 binary64)) i)
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) n) #s(literal -1 binary64)) (neg.f64 i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) (neg.f64 n))) (neg.f64 i))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) (neg.f64 n)) #s(literal 100 binary64)) (neg.f64 i))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) n))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) n) #s(literal 1 binary64))) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) n) #s(literal -1 binary64))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) (neg.f64 n)))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 i) (neg.f64 n)) #s(literal 100 binary64))) (neg.f64 (neg.f64 i)))
(pow.f64 (/.f64 i (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) n)) #s(literal -1 binary64))
(*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 n i))
(*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) n))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i) n)
(*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))
(*.f64 (*.f64 (expm1.f64 i) n) (/.f64 #s(literal 100 binary64) i))
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) #s(literal 100 binary64))
(*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (expm1.f64 i)))
(*.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) n) (/.f64 #s(literal 1 binary64) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) n) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) i))
(+.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) #s(literal -100 binary64))
(+.f64 (*.f64 (exp.f64 i) #s(literal 100 binary64)) #s(literal -100 binary64))
(fma.f64 #s(literal 100 binary64) (exp.f64 i) #s(literal -100 binary64))
(fma.f64 (exp.f64 i) #s(literal 100 binary64) #s(literal -100 binary64))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (+.f64 i i))) (+.f64 #s(literal 1 binary64) (exp.f64 i)))
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 100 binary64)) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 i #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (+.f64 i i)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 100 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
(*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) #s(literal 1 binary64)))
(*.f64 (expm1.f64 i) #s(literal 100 binary64))
(*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) (expm1.f64 i)))
(+.f64 (exp.f64 i) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 i))
(-.f64 (exp.f64 i) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (*.f64 i #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(-.f64 (/.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(fma.f64 #s(literal 1 binary64) (exp.f64 i) #s(literal -1 binary64))
(fma.f64 (exp.f64 i) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 (+.f64 i #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (exp.f64 (+.f64 i #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 (+.f64 i #s(literal 1 binary64))) #s(literal -1 binary64))
(expm1.f64 i)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) (expm1.f64 (*.f64 i #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i)) (expm1.f64 (+.f64 i i))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) (expm1.f64 (*.f64 i #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i)) (expm1.f64 (+.f64 i i)))))
(/.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 i i)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 i) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))
(/.f64 (expm1.f64 (+.f64 i i)) (-.f64 (exp.f64 i) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (+.f64 i i)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 i) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 i i))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 i i))) (neg.f64 (-.f64 (exp.f64 i) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 i #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))) (*.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) (+.f64 #s(literal 1 binary64) (exp.f64 i))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 i i)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) (expm1.f64 (*.f64 i #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i)) (expm1.f64 (+.f64 i i))) #s(literal -1 binary64))
(*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(*.f64 (expm1.f64 (+.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(*.f64 i #s(literal -50 binary64))
(*.f64 #s(literal -50 binary64) i)
(+.f64 (*.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 n i)) (neg.f64 (/.f64 n i)))
(exp.f64 (*.f64 (log.f64 (/.f64 i (*.f64 i n))) #s(literal -1 binary64)))
(-.f64 (*.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 n i)) (/.f64 n i))
(fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 n i) (neg.f64 (/.f64 n i)))
(fma.f64 (/.f64 (+.f64 i #s(literal 1 binary64)) i) n (neg.f64 (/.f64 n i)))
(fma.f64 (/.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 n i) (neg.f64 (/.f64 n i)))
(fma.f64 (/.f64 (+.f64 i #s(literal 1 binary64)) (neg.f64 i)) (neg.f64 n) (neg.f64 (/.f64 n i)))
(neg.f64 (/.f64 i (/.f64 i (neg.f64 n))))
(/.f64 i (/.f64 i n))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 i n)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 i n)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 i (*.f64 i n)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 i n))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 i (*.f64 i n)) #s(literal 1 binary64))))
(/.f64 (neg.f64 i) (/.f64 i (neg.f64 n)))
(/.f64 (fma.f64 (+.f64 i #s(literal 1 binary64)) (*.f64 (+.f64 i #s(literal 1 binary64)) (+.f64 i #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 i n) (fma.f64 (+.f64 i #s(literal 1 binary64)) (+.f64 i #s(literal 1 binary64)) (+.f64 i #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 i #s(literal 2 binary64)) i) (*.f64 (/.f64 i n) (+.f64 i #s(literal 2 binary64))))
(/.f64 (/.f64 i i) (/.f64 #s(literal 1 binary64) n))
(/.f64 (-.f64 (*.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 i n)) (/.f64 i n)) (/.f64 (*.f64 i i) (*.f64 n n)))
(/.f64 (*.f64 (fma.f64 (+.f64 i #s(literal 1 binary64)) (*.f64 (+.f64 i #s(literal 1 binary64)) (+.f64 i #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 i #s(literal 1 binary64)) (+.f64 i #s(literal 1 binary64)) (+.f64 i #s(literal 2 binary64))) (/.f64 i n)))
(/.f64 (*.f64 (*.f64 (+.f64 i #s(literal 2 binary64)) i) #s(literal 1 binary64)) (*.f64 (+.f64 i #s(literal 2 binary64)) (/.f64 i n)))
(/.f64 (neg.f64 (neg.f64 i)) (/.f64 i n))
(/.f64 (neg.f64 (fma.f64 (+.f64 i #s(literal 1 binary64)) (*.f64 (+.f64 i #s(literal 1 binary64)) (+.f64 i #s(literal 1 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (/.f64 i n) (fma.f64 (+.f64 i #s(literal 1 binary64)) (+.f64 i #s(literal 1 binary64)) (+.f64 i #s(literal 2 binary64))))))
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(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)) (*.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 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n))) n) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))) n))
(*.f64 (pow.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)) n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 i n) #s(literal -1 binary64))) n))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 i n) #s(literal -1 binary64))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n)
(*.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))) n))
(*.f64 (*.f64 n (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))))

simplify787.0ms (4.4%)

Memory
7.8MiB live, 732.3MiB allocated
Algorithm
1×egg-herbie
Rules
13 658×lower-fma.f64
13 658×lower-fma.f32
6 000×lower-*.f64
6 000×lower-*.f32
5 388×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05704965
118214619
258644276
087463823
Stop Event
1×iter limit
1×node limit
Counts
336 → 294
Calls
Call 1
Inputs
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))
(* 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 i)
(* i (+ 100 (* 50 i)))
(* i (+ 100 (* i (+ 50 (* 50/3 i)))))
(* i (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(* 100 (- (exp i) 1))
(* 100 (- (exp i) 1))
(* 100 (- (exp i) 1))
(* 100 (- (exp i) 1))
(* 100 (- (exp i) 1))
(* 100 (- (exp i) 1))
(* 100 (- (exp i) 1))
(* 100 (- (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)
(* -50 i)
(* -50 i)
(* -50 i)
(* -50 i)
(* -50 i)
(* -50 i)
(* -50 i)
(* -50 i)
(* -50 i)
(* -50 i)
(* -50 i)
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
i
i
i
i
i
i
i
i
i
i
i
i
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
(* 100 n)
1
(+ 1 i)
(+ 1 i)
(+ 1 i)
i
(* i (+ 1 (/ 1 i)))
(* i (+ 1 (/ 1 i)))
(* i (+ 1 (/ 1 i)))
i
(* i (+ 1 (/ 1 i)))
(* i (+ 1 (/ 1 i)))
(* i (+ 1 (/ 1 i)))
(* 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))
(* 100 (* (pow n 2) (+ (* -1 (/ (log n) i)) (/ (log i) i))))
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i)))))
(* (pow n 2) (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))
(* (pow n 2) (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))
(* n (- (* 100 (/ (exp i) i)) (* 100 (/ 1 i))))
(* n (- (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (exp i) i))) (* 100 (/ 1 i))))
(* n (- (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (* 100 (/ 1 i))))
(* n (- (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))))) (* 100 (/ 1 i))))
(* -1 (* n (+ (* -100 (/ (exp i) i)) (* 100 (/ 1 i)))))
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* 50 (/ (* i (exp i)) n)) (* 100 (/ 1 i))))))
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (/ 1 i))))))
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (/ 1 i))))))
(/ (+ (* -100 n) (* 100 n)) i)
(/ (+ (* -100 n) (+ (* 100 n) (* 100 (* i n)))) i)
(/ (+ (* -100 n) (+ (* 100 n) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i)
(/ (+ (* -100 n) (+ (* 100 n) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))) i)
(/ (+ (* -100 n) (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) i)
(/ (+ (* -100 n) (+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (+ (* -100 n) (+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(/ (+ (* -100 n) (+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))))) i)
(* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 n)) i))
(* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (+ (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) (* 100 n))) i))
(* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (+ (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)) (* 100 n))) i))
(* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i)) (* 100 n))) i))
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(/ 100 i)
(/ 100 i)
(/ 100 i)
(/ 100 i)
(/ 100 i)
(/ 100 i)
(/ 100 i)
(/ 100 i)
(/ 100 i)
(/ 100 i)
(/ 100 i)
(/ 100 i)
(* 100 (/ n i))
(* n (+ (* 100 (* n (+ (* -1 (/ (log n) i)) (/ (log i) i)))) (* 100 (/ 1 i))))
(* n (+ (* n (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))))) (* 100 (/ 1 i))))
(* n (+ (* n (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))))))) (* 100 (/ 1 i))))
(* 100 (/ (* n (exp i)) i))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (exp i) i))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))))))
(* 100 (/ (* n (exp i)) i))
(* -1 (* n (+ (* -100 (/ (exp i) i)) (* 50 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -100 (/ (exp i) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))
(* -1 (* n (+ (* -100 (/ (exp i) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))
(* 100 (/ n i))
(/ (+ (* 100 n) (* 100 (* i n))) i)
(/ (+ (* 100 n) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i)
(/ (+ (* 100 n) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i)
(* 100 (/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(/ (+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(* 100 (/ (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
(* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i))
(* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i))
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)))
n
(* n (+ 1 (* n (+ (log i) (* -1 (log n))))))
(* n (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))))
(* n (+ 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)))))))))
(* n (exp i))
(* n (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))))
(* 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)))))
(* n (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))
(* n (exp i))
(* -1 (* n (+ (* -1 (exp i)) (* 1/2 (/ (* (pow i 2) (exp i)) n)))))
(* -1 (* n (+ (* -1 (exp i)) (* -1 (/ (+ (* -1/2 (* (pow i 2) (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) n)))))
(* -1 (* n (+ (* -1 (exp i)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) n)) (* -1/2 (* (pow i 2) (exp i)))) n)))))
n
(+ n (* i n))
(+ n (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(+ n (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
(* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))
(+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))
(+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
(* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))
(+ (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(+ (* -1 (/ (+ (* -1 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)) (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))
(+ (* -1 (/ (+ (* -1 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) i))) i)) (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))
Outputs
100
#s(literal 100 binary64)
(+ 100 (* 50 i))
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
(+ 100 (* i (+ 50 (* 50/3 i))))
(fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64))
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))
(fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))
(* 100 (/ (- (exp i) 1) i))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
(* 100 (/ (- (exp i) 1) i))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
(* 100 (/ (- (exp i) 1) i))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
(* 100 (/ (- (exp i) 1) i))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
(* 100 (/ (- (exp i) 1) i))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
(* 100 (/ (- (exp i) 1) i))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
(* 100 (/ (- (exp i) 1) i))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
(* 100 (/ (- (exp i) 1) i))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(+ (* 50 (* i n)) (* 100 n))
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
(fma.f64 i (fma.f64 (*.f64 i n) (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) (*.f64 #s(literal 50 binary64) n)) (*.f64 #s(literal 100 binary64) n))
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 i)
(*.f64 #s(literal 100 binary64) i)
(* i (+ 100 (* 50 i)))
(*.f64 i (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(* i (+ 100 (* i (+ 50 (* 50/3 i)))))
(*.f64 i (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* i (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* 100 (- (exp i) 1))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
(* 100 (- (exp i) 1))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
(* 100 (- (exp i) 1))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
(* 100 (- (exp i) 1))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
(* 100 (- (exp i) 1))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
(* 100 (- (exp i) 1))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
(* 100 (- (exp i) 1))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
(* 100 (- (exp i) 1))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
i
(* i (+ 1 (* 1/2 i)))
(fma.f64 i (*.f64 i #s(literal 1/2 binary64)) i)
(* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))
(fma.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 i i) i)
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
(fma.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 i i) i)
(- (exp i) 1)
(expm1.f64 i)
(- (exp i) 1)
(expm1.f64 i)
(- (exp i) 1)
(expm1.f64 i)
(- (exp i) 1)
(expm1.f64 i)
(- (exp i) 1)
(expm1.f64 i)
(- (exp i) 1)
(expm1.f64 i)
(- (exp i) 1)
(expm1.f64 i)
(- (exp i) 1)
(expm1.f64 i)
(* -50 i)
(*.f64 i #s(literal -50 binary64))
(* -50 i)
(*.f64 i #s(literal -50 binary64))
(* -50 i)
(*.f64 i #s(literal -50 binary64))
(* -50 i)
(*.f64 i #s(literal -50 binary64))
(* -50 i)
(*.f64 i #s(literal -50 binary64))
(* -50 i)
(*.f64 i #s(literal -50 binary64))
(* -50 i)
(*.f64 i #s(literal -50 binary64))
(* -50 i)
(*.f64 i #s(literal -50 binary64))
(* -50 i)
(*.f64 i #s(literal -50 binary64))
(* -50 i)
(*.f64 i #s(literal -50 binary64))
(* -50 i)
(*.f64 i #s(literal -50 binary64))
(* -50 i)
(*.f64 i #s(literal -50 binary64))
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
i
i
i
i
i
i
i
i
i
i
i
i
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
1
#s(literal 1 binary64)
(+ 1 i)
(+.f64 i #s(literal 1 binary64))
(+ 1 i)
(+.f64 i #s(literal 1 binary64))
(+ 1 i)
(+.f64 i #s(literal 1 binary64))
i
(* i (+ 1 (/ 1 i)))
(+.f64 i #s(literal 1 binary64))
(* i (+ 1 (/ 1 i)))
(+.f64 i #s(literal 1 binary64))
(* i (+ 1 (/ 1 i)))
(+.f64 i #s(literal 1 binary64))
i
(* i (+ 1 (/ 1 i)))
(+.f64 i #s(literal 1 binary64))
(* i (+ 1 (/ 1 i)))
(+.f64 i #s(literal 1 binary64))
(* i (+ 1 (/ 1 i)))
(+.f64 i #s(literal 1 binary64))
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(+ (* 50 (* i n)) (* 100 n))
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
(fma.f64 i (fma.f64 (*.f64 i n) (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) (*.f64 #s(literal 50 binary64) n)) (*.f64 #s(literal 100 binary64) n))
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
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(fma.f64 (/.f64 (exp.f64 i) n) (fma.f64 (*.f64 i i) #s(literal -1/2 binary64) (/.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))) n)) (exp.f64 i))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))
(fma.f64 (+.f64 (/.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (*.f64 n n)) #s(literal 1 binary64)) (exp.f64 i) (*.f64 (/.f64 (exp.f64 i) n) (fma.f64 (*.f64 i i) #s(literal -1/2 binary64) (/.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 n)))))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(fma.f64 (*.f64 i i) (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (exp.f64 i))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(-.f64 (exp.f64 i) (/.f64 (*.f64 (exp.f64 i) (fma.f64 i (*.f64 i #s(literal 1/2 binary64)) (/.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 (exp.f64 i) (*.f64 i (*.f64 i #s(literal 1/2 binary64)))) (/.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 (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))
n
(* n (+ 1 (* n (+ (log i) (* -1 (log n))))))
(fma.f64 n (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) n)
(* n (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))))
(fma.f64 (*.f64 n 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)
(* n (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
(fma.f64 (*.f64 n n) (fma.f64 n (fma.f64 n (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.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)
(* n (exp i))
(*.f64 (exp.f64 i) n)
(* n (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))))
(*.f64 n (fma.f64 (*.f64 i i) (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (exp.f64 i)))
(* n (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))
(*.f64 n (fma.f64 (/.f64 (exp.f64 i) n) (fma.f64 (*.f64 i i) #s(literal -1/2 binary64) (/.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))) n)) (exp.f64 i)))
(* n (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))
(*.f64 n (fma.f64 (+.f64 (/.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (*.f64 n n)) #s(literal 1 binary64)) (exp.f64 i) (*.f64 (/.f64 (exp.f64 i) n) (fma.f64 (*.f64 i i) #s(literal -1/2 binary64) (/.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 n))))))
(* n (exp i))
(*.f64 (exp.f64 i) n)
(* -1 (* n (+ (* -1 (exp i)) (* 1/2 (/ (* (pow i 2) (exp i)) n)))))
(*.f64 n (fma.f64 (*.f64 i i) (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (exp.f64 i)))
(* -1 (* n (+ (* -1 (exp i)) (* -1 (/ (+ (* -1/2 (* (pow i 2) (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) n)))))
(*.f64 n (+.f64 (exp.f64 i) (/.f64 (*.f64 (exp.f64 i) (fma.f64 (*.f64 i i) #s(literal -1/2 binary64) (/.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))) n))) n)))
(* -1 (* n (+ (* -1 (exp i)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) n)) (* -1/2 (* (pow i 2) (exp i)))) n)))))
(*.f64 n (+.f64 (exp.f64 i) (/.f64 (-.f64 (*.f64 (exp.f64 i) (*.f64 (*.f64 i i) #s(literal -1/2 binary64))) (/.f64 (*.f64 (exp.f64 i) (-.f64 (/.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) (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))))) n)) n)))
n
(+ n (* i n))
(fma.f64 i n n)
(+ n (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(fma.f64 i (fma.f64 n (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n) n)
(+ n (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
(fma.f64 i (fma.f64 (*.f64 i n) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n) n)
(* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))
(*.f64 n (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)))
(+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(*.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) (+.f64 n (/.f64 (*.f64 n (*.f64 n n)) i)))
(+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))
(*.f64 n (fma.f64 (/.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) i) (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)) (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n))))
(+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
(fma.f64 n (*.f64 (/.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) (*.f64 i i)) (+.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 1/6 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))))) i))) (*.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) (+.f64 n (/.f64 (*.f64 n (*.f64 n n)) i))))
(* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))
(*.f64 n (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n))))
(+ (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n))) (+.f64 n (/.f64 (*.f64 n (*.f64 n n)) i)))
(+ (* -1 (/ (+ (* -1 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)) (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))
(fma.f64 n (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n))) (/.f64 (*.f64 (*.f64 n (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 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))
(+ (* -1 (/ (+ (* -1 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) i))) i)) (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))
(fma.f64 n (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n))) (/.f64 (fma.f64 n (*.f64 (*.f64 n n) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)))) (/.f64 (*.f64 n (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 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)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64)))) i)))) i)) i))

eval355.0ms (2%)

Memory
-1.0MiB live, 225.2MiB allocated
Compiler

Compiled 21 144 to 2 748 computations (87% saved)

prune312.0ms (1.7%)

Memory
-13.9MiB live, 293.0MiB allocated
Pruning

44 alts after pruning (39 fresh and 5 done)

PrunedKeptTotal
New97015985
Fresh72431
Picked325
Done033
Total980441 024
Accuracy
99.9%
Counts
1 024 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.9%
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) i))
13.1%
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
▶21.3%
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)))
21.6%
(fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) i))
21.4%
(fma.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (neg.f64 (*.f64 n (/.f64 #s(literal 100 binary64) i))))
13.5%
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
53.8%
(fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
58.6%
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
57.1%
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
16.8%
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i (*.f64 i (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))) (*.f64 i i))
15.9%
(/.f64 (fma.f64 #s(literal 100 binary64) i (*.f64 (/.f64 i (neg.f64 n)) (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))) (*.f64 (/.f64 i (neg.f64 n)) i))
29.4%
(/.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)
18.4%
(/.f64 (*.f64 (*.f64 n (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) #s(literal 100 binary64)) i)
✓68.4%
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
48.9%
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
15.8%
(/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i)
48.9%
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 i n)))
48.8%
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 i (/.f64 #s(literal 1 binary64) n)))
28.9%
(*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
44.5%
(*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 n i))
▶58.6%
(*.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)))
57.1%
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
54.2%
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
▶58.8%
(*.f64 n (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) i)))
49.6%
(*.f64 n (*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 #s(literal 1 binary64) i)))
✓49.8%
(*.f64 n #s(literal 100 binary64))
44.1%
(*.f64 i (*.f64 (/.f64 n i) #s(literal 100 binary64)))
✓2.7%
(*.f64 i #s(literal -50 binary64))
21.4%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) i) n (/.f64 (neg.f64 n) i)))
21.5%
(*.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)))
54.2%
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n))
15.4%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i (neg.f64 n)) i) (*.f64 i (/.f64 i (neg.f64 n)))))
16.9%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (*.f64 i i)))
▶45.1%
(*.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)))
5.8%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) n) #s(literal 1 binary64)) (/.f64 i n)))
13.9%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 n i)) (*.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 n i))) (*.f64 (/.f64 n i) (/.f64 n i))) (fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 n i) (/.f64 n i))))
29.3%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) i))
13.9%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
✓68.9%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
16.5%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 i n)))
✓76.3%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
13.6%
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
44.9%
(*.f64 #s(literal 100 binary64) (*.f64 (neg.f64 i) (/.f64 #s(literal -1 binary64) (/.f64 i n))))
▶21.4%
#s(literal 0 binary64)
Compiler

Compiled 1 359 to 859 computations (36.8% saved)

simplify416.0ms (2.3%)

Memory
-15.0MiB live, 546.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i))
✓cost-diff0
(neg.f64 n)
✓cost-diff0
(/.f64 #s(literal 100 binary64) i)
✓cost-diff1152
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)))
✓cost-diff0
(*.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)
✓cost-diff0
(*.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)))
✓cost-diff1408
(/.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))
✓cost-diff3520
(/.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)))
✓cost-diff0
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
✓cost-diff0
(fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))
✓cost-diff0
(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))
✓cost-diff0
(*.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)))
✓cost-diff0
(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))
✓cost-diff0
(*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
✓cost-diff0
(*.f64 n (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) i)))
✓cost-diff1344
(*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) i))
Rules
12 024×lower-fma.f32
12 012×lower-fma.f64
3 996×lower-*.f32
3 978×lower-*.f64
3 106×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037344
069362
1151349
2443324
31372318
45369271
57990271
08005267
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 n (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) i)))
n
(*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) i))
(*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
i
(fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))
(fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
#s(literal 25/6 binary64)
#s(literal 50/3 binary64)
#s(literal 50 binary64)
#s(literal 100 binary64)
(/.f64 #s(literal 1 binary64) i)
#s(literal 1 binary64)
#s(literal 0 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)))
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 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
#s(literal 25/6 binary64)
#s(literal 50/3 binary64)
#s(literal 50 binary64)
#s(literal 100 binary64)
(*.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)))
#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 (*.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 (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 (+.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 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1/2 binary64) n)
#s(literal -1/2 binary64)
n
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 i i))
(*.f64 i i)
i
#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 i n)
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)))
(/.f64 #s(literal 100 binary64) i)
#s(literal 100 binary64)
i
(neg.f64 n)
n
(*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i))
(*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
#s(literal 1 binary64)
(/.f64 i n)
Outputs
(*.f64 n (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (/.f64 #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)))
n
(*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) i))
(fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))
(*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
i
(fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))
(fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
#s(literal 25/6 binary64)
#s(literal 50/3 binary64)
#s(literal 50 binary64)
#s(literal 100 binary64)
(/.f64 #s(literal 1 binary64) i)
#s(literal 1 binary64)
#s(literal 0 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)))
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 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
#s(literal 25/6 binary64)
#s(literal 50/3 binary64)
#s(literal 50 binary64)
#s(literal 100 binary64)
(*.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 n (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 (*.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 n (fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64)))
(/.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 (fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64)))
(*.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)
(*.f64 i (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)))
(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 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1/2 binary64) n)
#s(literal -1/2 binary64)
n
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 i i))
(*.f64 i i)
i
#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 i n)
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)))
(*.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)))
(/.f64 #s(literal 100 binary64) i)
#s(literal 100 binary64)
i
(neg.f64 n)
n
(*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i))
(*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)))
(*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
#s(literal 1 binary64)
(/.f64 i n)

localize282.0ms (1.6%)

Memory
9.9MiB live, 517.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
✓accuracy99.8%
(*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i))
✓accuracy78.6%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓accuracy40.8%
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)))
✓accuracy97.8%
(*.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)
✓accuracy93.4%
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 i i))
✓accuracy81.4%
(/.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)))
✓accuracy72.4%
(/.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))
✓accuracy99.9%
(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))
✓accuracy99.9%
(fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))
✓accuracy99.7%
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
✓accuracy98.5%
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
✓accuracy99.9%
(fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))
✓accuracy99.7%
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
✓accuracy98.5%
(*.f64 n (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) i)))
✓accuracy94.3%
(*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) i))
Samples
147.0ms165×1valid
23.0ms24×2valid
19.0ms65×0valid
3.0ms1×5exit
1.0ms1×3valid
Compiler

Compiled 380 to 45 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 156.0ms
ival-pow: 47.0ms (30.1% of total)
ival-mult: 40.0ms (25.6% of total)
adjust: 21.0ms (13.4% of total)
ival-add: 17.0ms (10.9% of total)
ival-div: 17.0ms (10.9% of total)
const: 10.0ms (6.4% of total)
ival-neg: 2.0ms (1.3% of total)
exact: 1.0ms (0.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series36.0ms (0.2%)

Memory
-18.1MiB live, 72.0MiB allocated
Counts
18 → 348
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) i))>
#<alt (*.f64 n (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) i)))>
#<alt (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))>
#<alt (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))>
#<alt (*.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)))>
#<alt (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))>
#<alt (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))>
#<alt (/.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)))>
#<alt (/.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))>
#<alt (*.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)))>
#<alt (*.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)>
#<alt (fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)))>
#<alt (/.f64 #s(literal 100 binary64) i)>
#<alt (neg.f64 n)>
#<alt (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i))>
#<alt (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 i i))>
#<alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)>
#<alt (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))>
Outputs
#<alt 100>
#<alt (+ 100 (* 50 i))>
#<alt (+ 100 (* i (+ 50 (* 50/3 i))))>
#<alt (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))>
#<alt (* 25/6 (pow i 3))>
#<alt (* (pow i 3) (+ 25/6 (* 50/3 (/ 1 i))))>
#<alt (* (pow i 3) (+ 25/6 (+ (* 50/3 (/ 1 i)) (/ 50 (pow i 2)))))>
#<alt (* (pow i 3) (+ 25/6 (+ (* 50/3 (/ 1 i)) (+ (* 100 (/ 1 (pow i 3))) (/ 50 (pow i 2))))))>
#<alt (* 25/6 (pow i 3))>
#<alt (* (pow i 3) (+ 25/6 (* 50/3 (/ 1 i))))>
#<alt (* -1 (* (pow i 3) (- (* -1 (/ (+ 50/3 (* 50 (/ 1 i))) i)) 25/6)))>
#<alt (* -1 (* (pow i 3) (- (* -1 (/ (+ 50/3 (+ (* 50 (/ 1 i)) (/ 100 (pow i 2)))) i)) 25/6)))>
#<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 (* 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 (* 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 (* 100 i)>
#<alt (* i (+ 100 (* 50 i)))>
#<alt (* i (+ 100 (* i (+ 50 (* 50/3 i)))))>
#<alt (* i (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))>
#<alt (* 25/6 (pow i 4))>
#<alt (* (pow i 4) (+ 25/6 (* 50/3 (/ 1 i))))>
#<alt (* (pow i 4) (+ 25/6 (+ (* 50/3 (/ 1 i)) (/ 50 (pow i 2)))))>
#<alt (* (pow i 4) (+ 25/6 (+ (* 50/3 (/ 1 i)) (+ (* 100 (/ 1 (pow i 3))) (/ 50 (pow i 2))))))>
#<alt (* 25/6 (pow i 4))>
#<alt (* (pow i 4) (+ 25/6 (* 50/3 (/ 1 i))))>
#<alt (* (pow i 4) (+ 25/6 (+ (* 50/3 (/ 1 i)) (/ 50 (pow i 2)))))>
#<alt (* (pow i 4) (+ 25/6 (* -1 (/ (- (* -1 (/ (+ 50 (* 100 (/ 1 i))) i)) 50/3) 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 (* 25/6 (pow i 3))>
#<alt (* (pow i 3) (+ 25/6 (* 50/3 (/ 1 i))))>
#<alt (* (pow i 3) (+ 25/6 (+ (* 50/3 (/ 1 i)) (/ 50 (pow i 2)))))>
#<alt (* (pow i 3) (+ 25/6 (+ (* 50/3 (/ 1 i)) (+ (* 100 (/ 1 (pow i 3))) (/ 50 (pow i 2))))))>
#<alt (* 25/6 (pow i 3))>
#<alt (* (pow i 3) (+ 25/6 (* 50/3 (/ 1 i))))>
#<alt (* -1 (* (pow i 3) (- (* -1 (/ (+ 50/3 (* 50 (/ 1 i))) i)) 25/6)))>
#<alt (* -1 (* (pow i 3) (- (* -1 (/ (+ 50/3 (+ (* 50 (/ 1 i)) (/ 100 (pow i 2)))) i)) 25/6)))>
#<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 (* 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 (* 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 50>
#<alt (+ 50 (* 50/3 i))>
#<alt (+ 50 (* i (+ 50/3 (* 25/6 i))))>
#<alt (+ 50 (* i (+ 50/3 (* 25/6 i))))>
#<alt (* 25/6 (pow i 2))>
#<alt (* (pow i 2) (+ 25/6 (* 50/3 (/ 1 i))))>
#<alt (* (pow i 2) (+ 25/6 (+ (* 50/3 (/ 1 i)) (/ 50 (pow i 2)))))>
#<alt (* (pow i 2) (+ 25/6 (+ (* 50/3 (/ 1 i)) (/ 50 (pow i 2)))))>
#<alt (* 25/6 (pow i 2))>
#<alt (* (pow i 2) (+ 25/6 (* 50/3 (/ 1 i))))>
#<alt (* (pow i 2) (+ 25/6 (+ (* 50/3 (/ 1 i)) (/ 50 (pow i 2)))))>
#<alt (* (pow i 2) (+ 25/6 (+ (* 50/3 (/ 1 i)) (/ 50 (pow i 2)))))>
#<alt 50/3>
#<alt (+ 50/3 (* 25/6 i))>
#<alt (+ 50/3 (* 25/6 i))>
#<alt (+ 50/3 (* 25/6 i))>
#<alt (* 25/6 i)>
#<alt (* i (+ 25/6 (* 50/3 (/ 1 i))))>
#<alt (* i (+ 25/6 (* 50/3 (/ 1 i))))>
#<alt (* i (+ 25/6 (* 50/3 (/ 1 i))))>
#<alt (* 25/6 i)>
#<alt (* i (+ 25/6 (* 50/3 (/ 1 i))))>
#<alt (* i (+ 25/6 (* 50/3 (/ 1 i))))>
#<alt (* i (+ 25/6 (* 50/3 (/ 1 i))))>
#<alt (* -1/2 (/ (pow i 2) n))>
#<alt (/ (+ (* -1/2 (pow i 2)) (* n (- (pow i 2) (* i (- (* 1/2 i) 1))))) n)>
#<alt (/ (+ (* -1/2 (pow i 2)) (* n (- (+ (* n (- (* -2 (- (* 1/4 (pow i 2)) 1)) (* -2 (/ (* (- (* 1/2 i) 1) (- (pow i 2) (* i (- (* 1/2 i) 1)))) i)))) (pow i 2)) (* i (- (* 1/2 i) 1))))) n)>
#<alt (/ (+ (* -1/2 (pow i 2)) (* n (- (+ (* n (- (+ (* -2 (- (* 1/4 (pow i 2)) 1)) (* 2 (/ (* n (* (- (* -2 (- (* 1/4 (pow i 2)) 1)) (* -2 (/ (* (- (* 1/2 i) 1) (- (pow i 2) (* i (- (* 1/2 i) 1)))) i))) (- (* 1/2 i) 1))) i))) (* -2 (/ (* (- (* 1/2 i) 1) (- (pow i 2) (* i (- (* 1/2 i) 1)))) i)))) (pow i 2)) (* i (- (* 1/2 i) 1))))) n)>
#<alt (/ (* i (- (* 1/4 (pow i 2)) 1)) (- (* 1/2 i) 1))>
#<alt (- (+ (* -1/2 (/ (pow i 3) (* n (- (* 1/2 i) 1)))) (/ (* i (- (* 1/4 (pow i 2)) 1)) (- (* 1/2 i) 1))) (* -1/2 (/ (* (pow i 2) (- (* 1/4 (pow i 2)) 1)) (* n (pow (- (* 1/2 i) 1) 2)))))>
#<alt (- (+ (* -1/2 (/ (pow i 3) (* n (- (* 1/2 i) 1)))) (+ (* 1/4 (/ (pow i 3) (* (pow n 2) (- (* 1/2 i) 1)))) (/ (* i (- (* 1/4 (pow i 2)) 1)) (- (* 1/2 i) 1)))) (+ (* -1/2 (/ (* i (- (* -1/2 (/ (pow i 3) (- (* 1/2 i) 1))) (* -1/2 (/ (* (pow i 2) (- (* 1/4 (pow i 2)) 1)) (pow (- (* 1/2 i) 1) 2))))) (* (pow n 2) (- (* 1/2 i) 1)))) (* -1/2 (/ (* (pow i 2) (- (* 1/4 (pow i 2)) 1)) (* n (pow (- (* 1/2 i) 1) 2))))))>
#<alt (- (+ (* -1/2 (/ (pow i 3) (* n (- (* 1/2 i) 1)))) (+ (* 1/4 (/ (pow i 3) (* (pow n 2) (- (* 1/2 i) 1)))) (+ (* 1/2 (/ (* i (- (* 1/4 (/ (pow i 3) (- (* 1/2 i) 1))) (* -1/2 (/ (* i (- (* -1/2 (/ (pow i 3) (- (* 1/2 i) 1))) (* -1/2 (/ (* (pow i 2) (- (* 1/4 (pow i 2)) 1)) (pow (- (* 1/2 i) 1) 2))))) (- (* 1/2 i) 1))))) (* (pow n 3) (- (* 1/2 i) 1)))) (/ (* i (- (* 1/4 (pow i 2)) 1)) (- (* 1/2 i) 1))))) (+ (* -1/2 (/ (* i (- (* -1/2 (/ (pow i 3) (- (* 1/2 i) 1))) (* -1/2 (/ (* (pow i 2) (- (* 1/4 (pow i 2)) 1)) (pow (- (* 1/2 i) 1) 2))))) (* (pow n 2) (- (* 1/2 i) 1)))) (* -1/2 (/ (* (pow i 2) (- (* 1/4 (pow i 2)) 1)) (* n (pow (- (* 1/2 i) 1) 2))))))>
#<alt (/ (* i (- (* 1/4 (pow i 2)) 1)) (- (* 1/2 i) 1))>
#<alt (+ (* -1 (/ (- (* 1/2 (/ (pow i 3) (- (* 1/2 i) 1))) (* 1/2 (/ (* (pow i 2) (- (* 1/4 (pow i 2)) 1)) (pow (- (* 1/2 i) 1) 2)))) n)) (/ (* i (- (* 1/4 (pow i 2)) 1)) (- (* 1/2 i) 1)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ (pow i 3) (- (* 1/2 i) 1))) (* 1/2 (/ (* i (- (* 1/2 (/ (pow i 3) (- (* 1/2 i) 1))) (* 1/2 (/ (* (pow i 2) (- (* 1/4 (pow i 2)) 1)) (pow (- (* 1/2 i) 1) 2))))) (- (* 1/2 i) 1)))) n)) (* 1/2 (/ (pow i 3) (- (* 1/2 i) 1)))) (* 1/2 (/ (* (pow i 2) (- (* 1/4 (pow i 2)) 1)) (pow (- (* 1/2 i) 1) 2)))) n)) (/ (* i (- (* 1/4 (pow i 2)) 1)) (- (* 1/2 i) 1)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (/ (pow i 3) (- (* 1/2 i) 1))) (* 1/2 (/ (* i (- (* 1/4 (/ (pow i 3) (- (* 1/2 i) 1))) (* 1/2 (/ (* i (- (* 1/2 (/ (pow i 3) (- (* 1/2 i) 1))) (* 1/2 (/ (* (pow i 2) (- (* 1/4 (pow i 2)) 1)) (pow (- (* 1/2 i) 1) 2))))) (- (* 1/2 i) 1))))) (* n (- (* 1/2 i) 1))))) (* 1/2 (/ (* i (- (* 1/2 (/ (pow i 3) (- (* 1/2 i) 1))) (* 1/2 (/ (* (pow i 2) (- (* 1/4 (pow i 2)) 1)) (pow (- (* 1/2 i) 1) 2))))) (- (* 1/2 i) 1)))) n)) (* 1/2 (/ (pow i 3) (- (* 1/2 i) 1)))) (* 1/2 (/ (* (pow i 2) (- (* 1/4 (pow i 2)) 1)) (pow (- (* 1/2 i) 1) 2)))) n)) (/ (* i (- (* 1/4 (pow i 2)) 1)) (- (* 1/2 i) 1)))>
#<alt i>
#<alt (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (* (pow i 2) (- 1/2 (* 1/2 (/ 1 n))))>
#<alt (* (pow i 2) (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))>
#<alt (* (pow i 2) (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))>
#<alt (* (pow i 2) (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))>
#<alt (* (pow i 2) (- 1/2 (* 1/2 (/ 1 n))))>
#<alt (* (pow i 2) (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))>
#<alt (* (pow i 2) (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))>
#<alt (* (pow i 2) (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))>
#<alt (* -1/2 i)>
#<alt (+ (* -1/2 i) (* n (- (+ 1 i) (* 1/2 i))))>
#<alt (+ (* -1/2 i) (* n (- (+ 1 (+ i (* n (- (* -2 (/ (- (* 1/4 (pow i 2)) 1) i)) (* -2 (/ (* (- (* 1/2 i) 1) (- (+ 1 i) (* 1/2 i))) i)))))) (* 1/2 i))))>
#<alt (+ (* -1/2 i) (* n (- (+ 1 (+ i (* n (- (+ (* -2 (/ (- (* 1/4 (pow i 2)) 1) i)) (* 2 (/ (* n (* (- (* -2 (/ (- (* 1/4 (pow i 2)) 1) i)) (* -2 (/ (* (- (* 1/2 i) 1) (- (+ 1 i) (* 1/2 i))) i))) (- (* 1/2 i) 1))) i))) (* -2 (/ (* (- (* 1/2 i) 1) (- (+ 1 i) (* 1/2 i))) i)))))) (* 1/2 i))))>
#<alt (/ (* n (- (* 1/4 (pow i 2)) 1)) (- (* 1/2 i) 1))>
#<alt (* n (- (+ (* -1/2 (/ (pow i 2) (* n (- (* 1/2 i) 1)))) (* 1/4 (/ (pow i 2) (- (* 1/2 i) 1)))) (+ (* -1/2 (/ (* i (- (* 1/4 (pow i 2)) 1)) (* n (pow (- (* 1/2 i) 1) 2)))) (/ 1 (- (* 1/2 i) 1)))))>
#<alt (* n (- (+ (* -1/2 (/ (pow i 2) (* n (- (* 1/2 i) 1)))) (+ (* 1/4 (/ (pow i 2) (* (pow n 2) (- (* 1/2 i) 1)))) (* 1/4 (/ (pow i 2) (- (* 1/2 i) 1))))) (+ (* -1/2 (/ (* i (- (* -1/2 (/ (pow i 2) (- (* 1/2 i) 1))) (* -1/2 (/ (* i (- (* 1/4 (pow i 2)) 1)) (pow (- (* 1/2 i) 1) 2))))) (* (pow n 2) (- (* 1/2 i) 1)))) (+ (* -1/2 (/ (* i (- (* 1/4 (pow i 2)) 1)) (* n (pow (- (* 1/2 i) 1) 2)))) (/ 1 (- (* 1/2 i) 1))))))>
#<alt (* n (- (+ (* -1/2 (/ (pow i 2) (* n (- (* 1/2 i) 1)))) (+ (* 1/4 (/ (pow i 2) (* (pow n 2) (- (* 1/2 i) 1)))) (+ (* 1/4 (/ (pow i 2) (- (* 1/2 i) 1))) (* 1/2 (/ (* i (- (* 1/4 (/ (pow i 2) (- (* 1/2 i) 1))) (* -1/2 (/ (* i (- (* -1/2 (/ (pow i 2) (- (* 1/2 i) 1))) (* -1/2 (/ (* i (- (* 1/4 (pow i 2)) 1)) (pow (- (* 1/2 i) 1) 2))))) (- (* 1/2 i) 1))))) (* (pow n 3) (- (* 1/2 i) 1))))))) (+ (* -1/2 (/ (* i (- (* -1/2 (/ (pow i 2) (- (* 1/2 i) 1))) (* -1/2 (/ (* i (- (* 1/4 (pow i 2)) 1)) (pow (- (* 1/2 i) 1) 2))))) (* (pow n 2) (- (* 1/2 i) 1)))) (+ (* -1/2 (/ (* i (- (* 1/4 (pow i 2)) 1)) (* n (pow (- (* 1/2 i) 1) 2)))) (/ 1 (- (* 1/2 i) 1))))))>
#<alt (/ (* n (- (* 1/4 (pow i 2)) 1)) (- (* 1/2 i) 1))>
#<alt (* -1 (* n (- (+ (* -1 (/ (- (* 1/4 (pow i 2)) 1) (- (* 1/2 i) 1))) (* 1/2 (/ (pow i 2) (* n (- (* 1/2 i) 1))))) (* 1/2 (/ (* i (- (* 1/4 (pow i 2)) 1)) (* n (pow (- (* 1/2 i) 1) 2)))))))>
#<alt (* -1 (* n (+ (* -1 (/ (- (* 1/4 (pow i 2)) 1) (- (* 1/2 i) 1))) (* -1 (/ (- (+ (* -1 (- (* 1/2 (/ (pow i 2) (- (* 1/2 i) 1))) (* 1/2 (/ (* i (- (* 1/4 (pow i 2)) 1)) (pow (- (* 1/2 i) 1) 2))))) (* 1/4 (/ (pow i 2) (* n (- (* 1/2 i) 1))))) (* 1/2 (/ (* i (- (* 1/2 (/ (pow i 2) (- (* 1/2 i) 1))) (* 1/2 (/ (* i (- (* 1/4 (pow i 2)) 1)) (pow (- (* 1/2 i) 1) 2))))) (* n (- (* 1/2 i) 1))))) n)))))>
#<alt (* -1 (* n (+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ (pow i 2) (- (* 1/2 i) 1))) (* 1/2 (/ (* i (- (* 1/4 (pow i 2)) 1)) (pow (- (* 1/2 i) 1) 2))))) (* -1 (/ (+ (* -1 (- (* 1/4 (/ (pow i 2) (- (* 1/2 i) 1))) (* 1/2 (/ (* i (- (* 1/2 (/ (pow i 2) (- (* 1/2 i) 1))) (* 1/2 (/ (* i (- (* 1/4 (pow i 2)) 1)) (pow (- (* 1/2 i) 1) 2))))) (- (* 1/2 i) 1))))) (* -1/2 (/ (* i (- (* 1/4 (/ (pow i 2) (- (* 1/2 i) 1))) (* 1/2 (/ (* i (- (* 1/2 (/ (pow i 2) (- (* 1/2 i) 1))) (* 1/2 (/ (* i (- (* 1/4 (pow i 2)) 1)) (pow (- (* 1/2 i) 1) 2))))) (- (* 1/2 i) 1))))) (* n (- (* 1/2 i) 1))))) n))) n)) (* -1 (/ (- (* 1/4 (pow i 2)) 1) (- (* 1/2 i) 1))))))>
#<alt n>
#<alt (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))>
#<alt (* i (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i)))>
#<alt (* i (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i)))>
#<alt (* i (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i)))>
#<alt (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))>
#<alt (* -1 (* i (+ (* -1 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -1 (/ n i)))))>
#<alt (* -1 (* i (+ (* -1 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -1 (/ n i)))))>
#<alt (* -1 (* i (+ (* -1 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -1 (/ n i)))))>
#<alt (* -50 i)>
#<alt (+ (* -50 i) (* 100 (* n (- (+ 1 i) (* 1/2 i)))))>
#<alt (+ (* -50 i) (* n (+ (* 100 (* n (- (* -2 (/ (- (* 1/4 (pow i 2)) 1) i)) (* -2 (/ (* (- (* 1/2 i) 1) (- (+ 1 i) (* 1/2 i))) i))))) (* 100 (- (+ 1 i) (* 1/2 i))))))>
#<alt (+ (* -50 i) (* n (+ (* 100 (- (+ 1 i) (* 1/2 i))) (* n (+ (* 100 (- (* -2 (/ (- (* 1/4 (pow i 2)) 1) i)) (* -2 (/ (* (- (* 1/2 i) 1) (- (+ 1 i) (* 1/2 i))) i)))) (* 200 (/ (* n (* (- (* -2 (/ (- (* 1/4 (pow i 2)) 1) i)) (* -2 (/ (* (- (* 1/2 i) 1) (- (+ 1 i) (* 1/2 i))) i))) (- (* 1/2 i) 1))) i)))))))>
#<alt (* 100 (/ (* n (- (* 1/4 (pow i 2)) 1)) (- (* 1/2 i) 1)))>
#<alt (* n (+ (* 100 (/ (- (* -1/2 (/ (pow i 2) (- (* 1/2 i) 1))) (* -1/2 (/ (* i (- (* 1/4 (pow i 2)) 1)) (pow (- (* 1/2 i) 1) 2)))) n)) (* 100 (/ (- (* 1/4 (pow i 2)) 1) (- (* 1/2 i) 1)))))>
#<alt (* n (+ (* 100 (/ (- (* -1/2 (/ (pow i 2) (- (* 1/2 i) 1))) (* -1/2 (/ (* i (- (* 1/4 (pow i 2)) 1)) (pow (- (* 1/2 i) 1) 2)))) n)) (+ (* 100 (/ (- (* 1/4 (/ (pow i 2) (- (* 1/2 i) 1))) (* -1/2 (/ (* i (- (* -1/2 (/ (pow i 2) (- (* 1/2 i) 1))) (* -1/2 (/ (* i (- (* 1/4 (pow i 2)) 1)) (pow (- (* 1/2 i) 1) 2))))) (- (* 1/2 i) 1)))) (pow n 2))) (* 100 (/ (- (* 1/4 (pow i 2)) 1) (- (* 1/2 i) 1))))))>
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#<alt (exp i)>
#<alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))>
#<alt (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))>
#<alt (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))>
#<alt (exp i)>
#<alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))>
#<alt (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))>
#<alt (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))>
#<alt n>
#<alt (* n (+ 1 (* n (+ (log i) (* -1 (log n))))))>
#<alt (* n (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))))>
#<alt (* n (+ 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 (* n (exp i))>
#<alt (* n (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))))>
#<alt (* 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)))))>
#<alt (* n (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))>
#<alt (* n (exp i))>
#<alt (* -1 (* n (+ (* -1 (exp i)) (* 1/2 (/ (* (pow i 2) (exp i)) n)))))>
#<alt (* -1 (* n (+ (* -1 (exp i)) (* -1 (/ (+ (* -1/2 (* (pow i 2) (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) n)))))>
#<alt (* -1 (* n (+ (* -1 (exp i)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) n)) (* -1/2 (* (pow i 2) (exp i)))) n)))))>
#<alt n>
#<alt (+ n (* i n))>
#<alt (+ n (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))>
#<alt (+ n (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))>
#<alt (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))>
#<alt (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))>
#<alt (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))>
#<alt (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))>
#<alt (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))>
#<alt (+ (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))>
#<alt (+ (* -1 (/ (+ (* -1 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)) (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))>
#<alt (+ (* -1 (/ (+ (* -1 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) i))) i)) (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))>
Calls

87 calls:

TimeVariablePointExpression
3.0ms
i
@0
(/ (* (+ (* (+ 1/2 (/ -1/2 n)) (* (+ 1/2 (/ -1/2 n)) (* i i))) -1) i) (+ (* i (+ 1/2 (/ -1/2 n))) -1))
1.0ms
n
@inf
(/ (* (+ (* (+ 1/2 (/ -1/2 n)) (* (+ 1/2 (/ -1/2 n)) (* i i))) -1) i) (+ (* i (+ 1/2 (/ -1/2 n))) -1))
1.0ms
n
@0
(* n (* (* i (+ (* i (+ (* i (+ (* i 25/6) 50/3)) 50)) 100)) (/ 1 i)))
1.0ms
n
@-inf
(/ (/ (* (+ (* (+ 1/2 (/ -1/2 n)) (* (+ 1/2 (/ -1/2 n)) (* i i))) -1) i) (+ (* i (+ 1/2 (/ -1/2 n))) -1)) (/ i n))
1.0ms
n
@inf
(/ (/ (* (+ (* (+ 1/2 (/ -1/2 n)) (* (+ 1/2 (/ -1/2 n)) (* i i))) -1) i) (+ (* i (+ 1/2 (/ -1/2 n))) -1)) (/ i n))

rewrite382.0ms (2.1%)

Memory
14.6MiB live, 649.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 684×lower-/.f32
4 672×lower-/.f64
4 020×lower-*.f32
4 000×lower-*.f64
2 786×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036250
068246
1300190
22442186
08173182
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 623
Calls
Call 1
Inputs
(*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) i))
(*.f64 n (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) i)))
(*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(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)))
(fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
(/.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 (/.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 (*.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 (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 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)))
(/.f64 #s(literal 100 binary64) i)
(neg.f64 n)
(*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 i i))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i i))) (*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 i #s(literal 100 binary64))))
(+.f64 (*.f64 (*.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i i)) (/.f64 #s(literal 1 binary64) i)) (*.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) i)))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i i)) (*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 i #s(literal 100 binary64))))
(fma.f64 (*.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i i)) (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) i)))
(/.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) i)
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))))))
(/.f64 (neg.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))) (neg.f64 i))
(/.f64 (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) #s(literal -1 binary64)) (neg.f64 i))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))) (neg.f64 i))
(/.f64 (neg.f64 (neg.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) #s(literal -1 binary64))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))))) (neg.f64 (neg.f64 i)))
(pow.f64 (/.f64 i (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))) #s(literal -1 binary64))
(*.f64 i (/.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) i))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) (*.f64 i (/.f64 #s(literal 1 binary64) i)))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) (/.f64 i i))
(*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) i))
(*.f64 #s(literal 1 binary64) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) i) (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))))
(*.f64 (/.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) i) i)
(/.f64 (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) n) i)
(/.f64 (*.f64 (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) n) #s(literal 1 binary64)) i)
(/.f64 (*.f64 (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) n) #s(literal -1 binary64)) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) n)) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) n) #s(literal 1 binary64))) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) n) #s(literal -1 binary64))) (neg.f64 (neg.f64 i)))
(*.f64 i (*.f64 (/.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) i) n))
(*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (/.f64 n i))
(*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) n))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) n)
(*.f64 n (*.f64 #s(literal 1 binary64) (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 n i) (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))))
(*.f64 (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) n) (/.f64 #s(literal 1 binary64) i))
(*.f64 (*.f64 n i) (/.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) i))
(*.f64 (*.f64 (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) n) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) i))
(+.f64 (*.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i i)) (*.f64 i #s(literal 100 binary64)))
(+.f64 (*.f64 i #s(literal 100 binary64)) (*.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i i)))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i i)) (*.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i i))) (-.f64 (*.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i i)) (*.f64 i #s(literal 100 binary64)))) (/.f64 (*.f64 (*.f64 i #s(literal 100 binary64)) (*.f64 i #s(literal 100 binary64))) (-.f64 (*.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i i)) (*.f64 i #s(literal 100 binary64)))))
(fma.f64 i #s(literal 100 binary64) (*.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i i)))
(fma.f64 i (*.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64))) (*.f64 i #s(literal 100 binary64)))
(fma.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i i) (*.f64 i #s(literal 100 binary64)))
(fma.f64 #s(literal 100 binary64) i (*.f64 (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) (*.f64 i i)))
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(/.f64 (neg.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 1 binary64))) (neg.f64 (*.f64 i #s(literal 1/100 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal -100 binary64))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (neg.f64 (*.f64 i #s(literal 1/100 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal -100 binary64) (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (neg.f64 (neg.f64 i)))
(pow.f64 (/.f64 i (*.f64 n (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(*.f64 n (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 i #s(literal 1/100 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i))
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) n) i) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 i #s(literal 1/100 binary64))) n)
(*.f64 (*.f64 n (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) i))
(+.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (*.f64 (*.f64 i i) (/.f64 #s(literal -1/2 binary64) n)))
(+.f64 (*.f64 (*.f64 i i) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 i i) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (*.f64 (/.f64 #s(literal -1/2 binary64) n) (*.f64 i i)))
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) n) (*.f64 i i)) (*.f64 #s(literal 1/2 binary64) (*.f64 i i)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 i i) (*.f64 (/.f64 #s(literal -1/2 binary64) n) (*.f64 i i)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) n) (*.f64 i i) (*.f64 #s(literal 1/2 binary64) (*.f64 i i)))
(fma.f64 (*.f64 i i) #s(literal 1/2 binary64) (*.f64 (*.f64 i i) (/.f64 #s(literal -1/2 binary64) n)))
(fma.f64 (*.f64 i i) (/.f64 #s(literal -1/2 binary64) n) (*.f64 (*.f64 i i) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (*.f64 i i) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 n (*.f64 n n))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) n) #s(literal 1/4 binary64)) (neg.f64 n))))
(/.f64 (*.f64 (*.f64 i i) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 n n)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 n (*.f64 n n)))) (*.f64 i i)) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) n) #s(literal 1/4 binary64)) (neg.f64 n))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 n n))) (*.f64 i i)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (neg.f64 (*.f64 (*.f64 i i) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 n (*.f64 n n)))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) n) #s(literal 1/4 binary64)) (neg.f64 n)))))
(/.f64 (neg.f64 (*.f64 (*.f64 i i) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 n n))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 n (*.f64 n n)))) (*.f64 i i))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) n) #s(literal 1/4 binary64)) (neg.f64 n)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 n n))) (*.f64 i i))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 i (*.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 i))
(*.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) i)
(exp.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n)))) (*.f64 n #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)) (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 (*.f64 n #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.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 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n))) n) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))) n))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) n))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (-.f64 #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)))))
(*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n)
(*.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))) n))
(*.f64 (*.f64 n (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))))

simplify488.0ms (2.7%)

Memory
-0.1MiB live, 870.7MiB allocated
Algorithm
1×egg-herbie
Rules
9 920×lower-fma.f64
9 920×lower-fma.f32
7 288×lower-*.f64
7 288×lower-*.f32
5 742×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09388684
130538220
085307550
Stop Event
1×iter limit
1×node limit
Counts
348 → 344
Calls
Call 1
Inputs
100
(+ 100 (* 50 i))
(+ 100 (* i (+ 50 (* 50/3 i))))
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))
(* 25/6 (pow i 3))
(* (pow i 3) (+ 25/6 (* 50/3 (/ 1 i))))
(* (pow i 3) (+ 25/6 (+ (* 50/3 (/ 1 i)) (/ 50 (pow i 2)))))
(* (pow i 3) (+ 25/6 (+ (* 50/3 (/ 1 i)) (+ (* 100 (/ 1 (pow i 3))) (/ 50 (pow i 2))))))
(* 25/6 (pow i 3))
(* (pow i 3) (+ 25/6 (* 50/3 (/ 1 i))))
(* -1 (* (pow i 3) (- (* -1 (/ (+ 50/3 (* 50 (/ 1 i))) i)) 25/6)))
(* -1 (* (pow i 3) (- (* -1 (/ (+ 50/3 (+ (* 50 (/ 1 i)) (/ 100 (pow i 2)))) i)) 25/6)))
(* 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)))))))
(* 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)))))))
(* 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)))))
(* 100 i)
(* i (+ 100 (* 50 i)))
(* i (+ 100 (* i (+ 50 (* 50/3 i)))))
(* i (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(* 25/6 (pow i 4))
(* (pow i 4) (+ 25/6 (* 50/3 (/ 1 i))))
(* (pow i 4) (+ 25/6 (+ (* 50/3 (/ 1 i)) (/ 50 (pow i 2)))))
(* (pow i 4) (+ 25/6 (+ (* 50/3 (/ 1 i)) (+ (* 100 (/ 1 (pow i 3))) (/ 50 (pow i 2))))))
(* 25/6 (pow i 4))
(* (pow i 4) (+ 25/6 (* 50/3 (/ 1 i))))
(* (pow i 4) (+ 25/6 (+ (* 50/3 (/ 1 i)) (/ 50 (pow i 2)))))
(* (pow i 4) (+ 25/6 (* -1 (/ (- (* -1 (/ (+ 50 (* 100 (/ 1 i))) i)) 50/3) i))))
100
(+ 100 (* 50 i))
(+ 100 (* i (+ 50 (* 50/3 i))))
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))
(* 25/6 (pow i 3))
(* (pow i 3) (+ 25/6 (* 50/3 (/ 1 i))))
(* (pow i 3) (+ 25/6 (+ (* 50/3 (/ 1 i)) (/ 50 (pow i 2)))))
(* (pow i 3) (+ 25/6 (+ (* 50/3 (/ 1 i)) (+ (* 100 (/ 1 (pow i 3))) (/ 50 (pow i 2))))))
(* 25/6 (pow i 3))
(* (pow i 3) (+ 25/6 (* 50/3 (/ 1 i))))
(* -1 (* (pow i 3) (- (* -1 (/ (+ 50/3 (* 50 (/ 1 i))) i)) 25/6)))
(* -1 (* (pow i 3) (- (* -1 (/ (+ 50/3 (+ (* 50 (/ 1 i)) (/ 100 (pow i 2)))) i)) 25/6)))
(* 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)))))))
(* 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)))))))
(* 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)))))
50
(+ 50 (* 50/3 i))
(+ 50 (* i (+ 50/3 (* 25/6 i))))
(+ 50 (* i (+ 50/3 (* 25/6 i))))
(* 25/6 (pow i 2))
(* (pow i 2) (+ 25/6 (* 50/3 (/ 1 i))))
(* (pow i 2) (+ 25/6 (+ (* 50/3 (/ 1 i)) (/ 50 (pow i 2)))))
(* (pow i 2) (+ 25/6 (+ (* 50/3 (/ 1 i)) (/ 50 (pow i 2)))))
(* 25/6 (pow i 2))
(* (pow i 2) (+ 25/6 (* 50/3 (/ 1 i))))
(* (pow i 2) (+ 25/6 (+ (* 50/3 (/ 1 i)) (/ 50 (pow i 2)))))
(* (pow i 2) (+ 25/6 (+ (* 50/3 (/ 1 i)) (/ 50 (pow i 2)))))
50/3
(+ 50/3 (* 25/6 i))
(+ 50/3 (* 25/6 i))
(+ 50/3 (* 25/6 i))
(* 25/6 i)
(* i (+ 25/6 (* 50/3 (/ 1 i))))
(* i (+ 25/6 (* 50/3 (/ 1 i))))
(* i (+ 25/6 (* 50/3 (/ 1 i))))
(* 25/6 i)
(* i (+ 25/6 (* 50/3 (/ 1 i))))
(* i (+ 25/6 (* 50/3 (/ 1 i))))
(* i (+ 25/6 (* 50/3 (/ 1 i))))
(* -1/2 (/ (pow i 2) n))
(/ (+ (* -1/2 (pow i 2)) (* n (- (pow i 2) (* i (- (* 1/2 i) 1))))) n)
(/ (+ (* -1/2 (pow i 2)) (* n (- (+ (* n (- (* -2 (- (* 1/4 (pow i 2)) 1)) (* -2 (/ (* (- (* 1/2 i) 1) (- (pow i 2) (* i (- (* 1/2 i) 1)))) i)))) (pow i 2)) (* i (- (* 1/2 i) 1))))) n)
(/ (+ (* -1/2 (pow i 2)) (* n (- (+ (* n (- (+ (* -2 (- (* 1/4 (pow i 2)) 1)) (* 2 (/ (* n (* (- (* -2 (- (* 1/4 (pow i 2)) 1)) (* -2 (/ (* (- (* 1/2 i) 1) (- (pow i 2) (* i (- (* 1/2 i) 1)))) i))) (- (* 1/2 i) 1))) i))) (* -2 (/ (* (- (* 1/2 i) 1) (- (pow i 2) (* i (- (* 1/2 i) 1)))) i)))) (pow i 2)) (* i (- (* 1/2 i) 1))))) n)
(/ (* i (- (* 1/4 (pow i 2)) 1)) (- (* 1/2 i) 1))
(- (+ (* -1/2 (/ (pow i 3) (* n (- (* 1/2 i) 1)))) (/ (* i (- (* 1/4 (pow i 2)) 1)) (- (* 1/2 i) 1))) (* -1/2 (/ (* (pow i 2) (- (* 1/4 (pow i 2)) 1)) (* n (pow (- (* 1/2 i) 1) 2)))))
(- (+ (* -1/2 (/ (pow i 3) (* n (- (* 1/2 i) 1)))) (+ (* 1/4 (/ (pow i 3) (* (pow n 2) (- (* 1/2 i) 1)))) (/ (* i (- (* 1/4 (pow i 2)) 1)) (- (* 1/2 i) 1)))) (+ (* -1/2 (/ (* i (- (* -1/2 (/ (pow i 3) (- (* 1/2 i) 1))) (* -1/2 (/ (* (pow i 2) (- (* 1/4 (pow i 2)) 1)) (pow (- (* 1/2 i) 1) 2))))) (* (pow n 2) (- (* 1/2 i) 1)))) (* -1/2 (/ (* (pow i 2) (- (* 1/4 (pow i 2)) 1)) (* n (pow (- (* 1/2 i) 1) 2))))))
(- (+ (* -1/2 (/ (pow i 3) (* n (- (* 1/2 i) 1)))) (+ (* 1/4 (/ (pow i 3) (* (pow n 2) (- (* 1/2 i) 1)))) (+ (* 1/2 (/ (* i (- (* 1/4 (/ (pow i 3) (- (* 1/2 i) 1))) (* -1/2 (/ (* i (- (* -1/2 (/ (pow i 3) (- (* 1/2 i) 1))) (* -1/2 (/ (* (pow i 2) (- (* 1/4 (pow i 2)) 1)) (pow (- (* 1/2 i) 1) 2))))) (- (* 1/2 i) 1))))) (* (pow n 3) (- (* 1/2 i) 1)))) (/ (* i (- (* 1/4 (pow i 2)) 1)) (- (* 1/2 i) 1))))) (+ (* -1/2 (/ (* i (- (* -1/2 (/ (pow i 3) (- (* 1/2 i) 1))) (* -1/2 (/ (* (pow i 2) (- (* 1/4 (pow i 2)) 1)) (pow (- (* 1/2 i) 1) 2))))) (* (pow n 2) (- (* 1/2 i) 1)))) (* -1/2 (/ (* (pow i 2) (- (* 1/4 (pow i 2)) 1)) (* n (pow (- (* 1/2 i) 1) 2))))))
(/ (* i (- (* 1/4 (pow i 2)) 1)) (- (* 1/2 i) 1))
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(/ (+ (* 100 n) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i)
(* 100 (/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(/ (+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(* 100 (/ (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
(* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i))
(* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i))
(* -1/2 (/ (pow i 2) n))
(/ (+ (* -1/2 (pow i 2)) (* 1/2 (* (pow i 2) n))) n)
(/ (+ (* -1/2 (pow i 2)) (* 1/2 (* (pow i 2) n))) n)
(/ (+ (* -1/2 (pow i 2)) (* 1/2 (* (pow i 2) n))) n)
(* 1/2 (pow i 2))
(+ (* -1/2 (/ (pow i 2) n)) (* 1/2 (pow i 2)))
(+ (* -1/2 (/ (pow i 2) n)) (* 1/2 (pow i 2)))
(+ (* -1/2 (/ (pow i 2) n)) (* 1/2 (pow i 2)))
(* 1/2 (pow i 2))
(+ (* -1/2 (/ (pow i 2) n)) (* 1/2 (pow i 2)))
(+ (* -1/2 (/ (pow i 2) n)) (* 1/2 (pow i 2)))
(+ (* -1/2 (/ (pow i 2) n)) (* 1/2 (pow i 2)))
(* (pow i 2) (- 1/2 (* 1/2 (/ 1 n))))
(* (pow i 2) (- 1/2 (* 1/2 (/ 1 n))))
(* (pow i 2) (- 1/2 (* 1/2 (/ 1 n))))
(* (pow i 2) (- 1/2 (* 1/2 (/ 1 n))))
(* (pow i 2) (- 1/2 (* 1/2 (/ 1 n))))
(* (pow i 2) (- 1/2 (* 1/2 (/ 1 n))))
(* (pow i 2) (- 1/2 (* 1/2 (/ 1 n))))
(* (pow i 2) (- 1/2 (* 1/2 (/ 1 n))))
(* (pow i 2) (- 1/2 (* 1/2 (/ 1 n))))
(* (pow i 2) (- 1/2 (* 1/2 (/ 1 n))))
(* (pow i 2) (- 1/2 (* 1/2 (/ 1 n))))
(* (pow i 2) (- 1/2 (* 1/2 (/ 1 n))))
1
(+ 1 i)
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))
1
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
n
(* n (+ 1 (* n (+ (log i) (* -1 (log n))))))
(* n (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))))
(* n (+ 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)))))))))
(* n (exp i))
(* n (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))))
(* 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)))))
(* n (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))
(* n (exp i))
(* -1 (* n (+ (* -1 (exp i)) (* 1/2 (/ (* (pow i 2) (exp i)) n)))))
(* -1 (* n (+ (* -1 (exp i)) (* -1 (/ (+ (* -1/2 (* (pow i 2) (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) n)))))
(* -1 (* n (+ (* -1 (exp i)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) n)) (* -1/2 (* (pow i 2) (exp i)))) n)))))
n
(+ n (* i n))
(+ n (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(+ n (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
(* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))
(+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))
(+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
(* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))
(+ (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(+ (* -1 (/ (+ (* -1 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)) (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))
(+ (* -1 (/ (+ (* -1 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) i))) i)) (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))
Outputs
100
#s(literal 100 binary64)
(+ 100 (* 50 i))
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
(+ 100 (* i (+ 50 (* 50/3 i))))
(fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64))
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))
(fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))
(* 25/6 (pow i 3))
(*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i)))
(* (pow i 3) (+ 25/6 (* 50/3 (/ 1 i))))
(*.f64 (*.f64 i (*.f64 i i)) (+.f64 #s(literal 25/6 binary64) (/.f64 #s(literal 50/3 binary64) i)))
(* (pow i 3) (+ 25/6 (+ (* 50/3 (/ 1 i)) (/ 50 (pow i 2)))))
(*.f64 (*.f64 i (*.f64 i i)) (+.f64 (/.f64 #s(literal 50/3 binary64) i) (+.f64 #s(literal 25/6 binary64) (/.f64 #s(literal 50 binary64) (*.f64 i i)))))
(* (pow i 3) (+ 25/6 (+ (* 50/3 (/ 1 i)) (+ (* 100 (/ 1 (pow i 3))) (/ 50 (pow i 2))))))
(*.f64 (*.f64 i (*.f64 i i)) (+.f64 (+.f64 (/.f64 #s(literal 50/3 binary64) i) (+.f64 #s(literal 25/6 binary64) (/.f64 #s(literal 50 binary64) (*.f64 i i)))) (/.f64 #s(literal 100 binary64) (*.f64 i (*.f64 i i)))))
(* 25/6 (pow i 3))
(*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i)))
(* (pow i 3) (+ 25/6 (* 50/3 (/ 1 i))))
(*.f64 (*.f64 i (*.f64 i i)) (+.f64 #s(literal 25/6 binary64) (/.f64 #s(literal 50/3 binary64) i)))
(* -1 (* (pow i 3) (- (* -1 (/ (+ 50/3 (* 50 (/ 1 i))) i)) 25/6)))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 50/3 binary64) (/.f64 #s(literal 50 binary64) i)) (neg.f64 i)) #s(literal -25/6 binary64)) (neg.f64 (*.f64 i (*.f64 i i))))
(* -1 (* (pow i 3) (- (* -1 (/ (+ 50/3 (+ (* 50 (/ 1 i)) (/ 100 (pow i 2)))) i)) 25/6)))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 50/3 binary64) (+.f64 (/.f64 #s(literal 50 binary64) i) (/.f64 #s(literal 100 binary64) (*.f64 i i)))) (neg.f64 i)) #s(literal -25/6 binary64)) (neg.f64 (*.f64 i (*.f64 i i))))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(+ (* 50 (* i n)) (* 100 n))
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)))))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 #s(literal 50 binary64) n)) (*.f64 #s(literal 100 binary64) n))
(* 25/6 (* (pow i 3) n))
(*.f64 #s(literal 25/6 binary64) (*.f64 (*.f64 i (*.f64 i i)) n))
(* (pow i 3) (+ (* 25/6 n) (* 50/3 (/ n i))))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 #s(literal 50/3 binary64) (/.f64 n i) (*.f64 #s(literal 25/6 binary64) n)))
(* (pow i 3) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (* 50 (/ n (pow i 2))))))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 #s(literal 50 binary64) (/.f64 n (*.f64 i i)) (fma.f64 #s(literal 50/3 binary64) (/.f64 n i) (*.f64 #s(literal 25/6 binary64) n))))
(* (pow i 3) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (+ (* 50 (/ n (pow i 2))) (* 100 (/ n (pow i 3)))))))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 #s(literal 25/6 binary64) n (fma.f64 #s(literal 50 binary64) (/.f64 n (*.f64 i i)) (fma.f64 #s(literal 100 binary64) (/.f64 n (*.f64 i (*.f64 i i))) (/.f64 (*.f64 #s(literal 50/3 binary64) n) i)))))
(* 25/6 (* (pow i 3) n))
(*.f64 #s(literal 25/6 binary64) (*.f64 (*.f64 i (*.f64 i i)) n))
(* -1 (* (pow i 3) (+ (* -50/3 (/ n i)) (* -25/6 n))))
(neg.f64 (*.f64 (*.f64 i (*.f64 i i)) (fma.f64 n #s(literal -25/6 binary64) (*.f64 (/.f64 n i) #s(literal -50/3 binary64)))))
(* -1 (* (pow i 3) (+ (* -25/6 n) (* -1 (/ (+ (* 50/3 n) (* 50 (/ n i))) i)))))
(neg.f64 (*.f64 (*.f64 i (*.f64 i i)) (-.f64 (*.f64 n #s(literal -25/6 binary64)) (/.f64 (fma.f64 #s(literal 50 binary64) (/.f64 n i) (*.f64 #s(literal 50/3 binary64) n)) i))))
(* -1 (* (pow i 3) (+ (* -25/6 n) (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ n i)) (* -50 n)) i)) (* 50/3 n)) i)))))
(*.f64 (-.f64 (*.f64 n #s(literal -25/6 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 50/3 binary64) n) (/.f64 (fma.f64 n #s(literal -50 binary64) (/.f64 (*.f64 n #s(literal -100 binary64)) i)) i)) i)) (neg.f64 (*.f64 i (*.f64 i i))))
(* 100 i)
(*.f64 #s(literal 100 binary64) i)
(* i (+ 100 (* 50 i)))
(*.f64 i (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(* i (+ 100 (* i (+ 50 (* 50/3 i)))))
(*.f64 i (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* i (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* 25/6 (pow i 4))
(*.f64 #s(literal 25/6 binary64) (pow.f64 i #s(literal 4 binary64)))
(* (pow i 4) (+ 25/6 (* 50/3 (/ 1 i))))
(*.f64 (+.f64 #s(literal 25/6 binary64) (/.f64 #s(literal 50/3 binary64) i)) (pow.f64 i #s(literal 4 binary64)))
(* (pow i 4) (+ 25/6 (+ (* 50/3 (/ 1 i)) (/ 50 (pow i 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 50/3 binary64) i) (+.f64 #s(literal 25/6 binary64) (/.f64 #s(literal 50 binary64) (*.f64 i i)))) (pow.f64 i #s(literal 4 binary64)))
(* (pow i 4) (+ 25/6 (+ (* 50/3 (/ 1 i)) (+ (* 100 (/ 1 (pow i 3))) (/ 50 (pow i 2))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 50/3 binary64) i) (+.f64 #s(literal 25/6 binary64) (/.f64 #s(literal 50 binary64) (*.f64 i i)))) (/.f64 #s(literal 100 binary64) (*.f64 i (*.f64 i i)))) (pow.f64 i #s(literal 4 binary64)))
(* 25/6 (pow i 4))
(*.f64 #s(literal 25/6 binary64) (pow.f64 i #s(literal 4 binary64)))
(* (pow i 4) (+ 25/6 (* 50/3 (/ 1 i))))
(*.f64 (+.f64 #s(literal 25/6 binary64) (/.f64 #s(literal 50/3 binary64) i)) (pow.f64 i #s(literal 4 binary64)))
(* (pow i 4) (+ 25/6 (+ (* 50/3 (/ 1 i)) (/ 50 (pow i 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 50/3 binary64) i) (+.f64 #s(literal 25/6 binary64) (/.f64 #s(literal 50 binary64) (*.f64 i i)))) (pow.f64 i #s(literal 4 binary64)))
(* (pow i 4) (+ 25/6 (* -1 (/ (- (* -1 (/ (+ 50 (* 100 (/ 1 i))) i)) 50/3) i))))
(*.f64 (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 25/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -50 binary64) (/.f64 #s(literal -100 binary64) i)) i) #s(literal -50/3 binary64)) i)))
100
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(*.f64 (neg.f64 n) (-.f64 (*.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (/.f64 (exp.f64 i) n)) (exp.f64 i)))
(* -1 (* n (+ (* -1 (exp i)) (* -1 (/ (+ (* -1/2 (* (pow i 2) (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) n)))))
(neg.f64 (*.f64 n (-.f64 (neg.f64 (exp.f64 i)) (/.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 1/3 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) n) (*.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) (exp.f64 i))) n))))
(* -1 (* n (+ (* -1 (exp i)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) n)) (* -1/2 (* (pow i 2) (exp i)))) n)))))
(*.f64 (neg.f64 n) (-.f64 (neg.f64 (exp.f64 i)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) (exp.f64 i)) (/.f64 (-.f64 (/.f64 (*.f64 (exp.f64 i) (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 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64))))) n) (*.f64 (exp.f64 i) (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 1/3 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))))) n)) n)))
n
(+ n (* i n))
(fma.f64 i n n)
(+ n (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(fma.f64 i (fma.f64 (*.f64 i n) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) n)
(+ n (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
(fma.f64 i (fma.f64 i (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 i n) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)))) n) n)
(* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))
(*.f64 n (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(fma.f64 n (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i))
(+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))
(fma.f64 n (+.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) n) (*.f64 n n) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)))) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i))
(+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
(fma.f64 n (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (fma.f64 n (*.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) n) (*.f64 n n) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64))))) (*.f64 i (*.f64 i i))))) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i)))
(* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))
(*.f64 n (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))))
(+ (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(fma.f64 n (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i))
(+ (* -1 (/ (+ (* -1 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)) (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))
(-.f64 (*.f64 n (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (neg.f64 (fma.f64 n (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) n) (*.f64 n n) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i) (*.f64 (*.f64 n (*.f64 n n)) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))))) i))
(+ (* -1 (/ (+ (* -1 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) i))) i)) (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))
(-.f64 (*.f64 n (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (neg.f64 (fma.f64 (*.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 (*.f64 (*.f64 n (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) n) (*.f64 n n) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) (*.f64 (*.f64 n (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64)))) i))) i))) i))

eval155.0ms (0.9%)

Memory
8.4MiB live, 312.6MiB allocated
Compiler

Compiled 34 257 to 3 333 computations (90.3% saved)

prune163.0ms (0.9%)

Memory
0.8MiB live, 325.9MiB allocated
Pruning

41 alts after pruning (34 fresh and 7 done)

PrunedKeptTotal
New1 106131 119
Fresh132134
Picked325
Done055
Total1 122411 163
Accuracy
99.9%
Counts
1 163 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.1%
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
13.5%
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
13.6%
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (*.f64 (*.f64 n #s(literal 1 binary64)) (/.f64 #s(literal 100 binary64) i)))
21.4%
(fma.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (neg.f64 (*.f64 n (/.f64 #s(literal 100 binary64) i))))
53.8%
(fma.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
29.4%
(/.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)
18.4%
(/.f64 (*.f64 (*.f64 n (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) #s(literal 100 binary64)) i)
✓68.4%
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
48.9%
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
15.8%
(/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i)
42.9%
(/.f64 (*.f64 (*.f64 i (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 100 binary64)) (*.f64 (fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal -1 binary64)) (/.f64 i n)))
53.2%
(/.f64 (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) n) i)
48.9%
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 i n)))
48.8%
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 i (/.f64 #s(literal 1 binary64) n)))
28.9%
(*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
44.5%
(*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 n i))
✓58.6%
(*.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)))
58.6%
(*.f64 n (fma.f64 i (fma.f64 i (+.f64 (*.f64 i #s(literal 25/6 binary64)) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
57.1%
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
58.1%
(*.f64 n (fma.f64 i (*.f64 i (*.f64 i #s(literal 25/6 binary64))) #s(literal 100 binary64)))
54.2%
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
58.9%
(*.f64 n (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))))))
58.6%
(*.f64 n (*.f64 (/.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) i) i))
49.6%
(*.f64 n (*.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) i)))
✓49.8%
(*.f64 n #s(literal 100 binary64))
44.1%
(*.f64 i (*.f64 (/.f64 n i) #s(literal 100 binary64)))
✓2.7%
(*.f64 i #s(literal -50 binary64))
54.2%
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n))
16.9%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (*.f64 i i)))
56.9%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (neg.f64 i) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal -1 binary64))) (/.f64 i n)))
5.8%
(*.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)))
29.3%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) i))
13.9%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
✓68.9%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
16.5%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 i n)))
✓76.3%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
13.6%
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
42.4%
(*.f64 #s(literal 100 binary64) (*.f64 (*.f64 i (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 (/.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))) (/.f64 i n))))
44.9%
(*.f64 #s(literal 100 binary64) (*.f64 (neg.f64 i) (/.f64 #s(literal -1 binary64) (/.f64 i n))))
17.0%
(*.f64 #s(literal 25/6 binary64) (*.f64 (*.f64 i (*.f64 i i)) n))
✓21.4%
#s(literal 0 binary64)
Compiler

Compiled 1 842 to 700 computations (62% saved)

regimes98.0ms (0.5%)

Memory
35.6MiB live, 143.8MiB allocated
Counts
80 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 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 0 binary64) i)
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 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 #s(literal 25/6 binary64) (*.f64 (*.f64 i (*.f64 i i)) n))
(*.f64 i (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 n (fma.f64 i (*.f64 i (*.f64 i #s(literal 25/6 binary64))) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 n i))
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(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 n (fma.f64 i (fma.f64 i (+.f64 (*.f64 i #s(literal 25/6 binary64)) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 n (*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 #s(literal 1 binary64) i)))
(*.f64 n (*.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) i)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 i n)))
(/.f64 (*.f64 i (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))) i)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.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 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (*.f64 (neg.f64 i) (/.f64 #s(literal -1 binary64) (/.f64 i n))))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 i (/.f64 #s(literal 1 binary64) n)))
(*.f64 n (*.f64 (/.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) i) i))
(/.f64 (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) n) i)
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (*.f64 (*.f64 n #s(literal 1 binary64)) (/.f64 #s(literal 100 binary64) i)))
(fma.f64 (/.f64 (fma.f64 n i n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 n (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) i)))
(/.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 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 i i) i) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 n (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))))))
(*.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 #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 #s(literal 100 binary64) (/.f64 (/.f64 (neg.f64 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) (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)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 (*.f64 i (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 100 binary64)) (*.f64 (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 (*.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 i (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 (/.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))) (/.f64 i n))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 n i)) (*.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 n i))) (*.f64 (/.f64 n i) (/.f64 n i))) (fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 n i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(*.f64 n (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i)))
(/.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 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) i))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 n i)))
(*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (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 (/.f64 (neg.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 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) i))
(fma.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (neg.f64 (*.f64 n (/.f64 #s(literal 100 binary64) i))))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) i))
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i (*.f64 i (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))) (*.f64 i i))
(fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) i))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) i) (/.f64 (*.f64 n n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i (neg.f64 n)) i) (*.f64 i (/.f64 i (neg.f64 n)))))
(/.f64 (fma.f64 #s(literal 100 binary64) i (*.f64 (/.f64 i (neg.f64 n)) (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))) (*.f64 (/.f64 i (neg.f64 n)) i))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(/.f64 (*.f64 (*.f64 n (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) #s(literal 100 binary64)) i)
(/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i)
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 i n)))
(*.f64 (*.f64 n n) (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 n (+.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) i) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i))) (/.f64 #s(literal -1/2 binary64) (*.f64 i (*.f64 i i)))) (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) i) (/.f64 #s(literal 1 binary64) (*.f64 i i)))) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
Outputs
(*.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:

30.0ms
n
26.0ms
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)))
17.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
91.1%4i
93.5%4n
92.6%3(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
92.6%3(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes63.0ms (0.4%)

Memory
-27.4MiB live, 97.1MiB allocated
Counts
75 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 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 0 binary64) i)
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 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 #s(literal 25/6 binary64) (*.f64 (*.f64 i (*.f64 i i)) n))
(*.f64 i (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 n (fma.f64 i (*.f64 i (*.f64 i #s(literal 25/6 binary64))) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 n i))
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(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 n (fma.f64 i (fma.f64 i (+.f64 (*.f64 i #s(literal 25/6 binary64)) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 n (*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 #s(literal 1 binary64) i)))
(*.f64 n (*.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) i)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 i n)))
(/.f64 (*.f64 i (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))) i)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.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 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (*.f64 (neg.f64 i) (/.f64 #s(literal -1 binary64) (/.f64 i n))))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 i (/.f64 #s(literal 1 binary64) n)))
(*.f64 n (*.f64 (/.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) i) i))
(/.f64 (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) n) i)
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (*.f64 (*.f64 n #s(literal 1 binary64)) (/.f64 #s(literal 100 binary64) i)))
(fma.f64 (/.f64 (fma.f64 n i n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 n (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) i)))
(/.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 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 i i) i) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 n (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))))))
(*.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 #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 #s(literal 100 binary64) (/.f64 (/.f64 (neg.f64 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) (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)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 (*.f64 i (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 100 binary64)) (*.f64 (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 (*.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 i (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 (/.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))) (/.f64 i n))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 n i)) (*.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 n i))) (*.f64 (/.f64 n i) (/.f64 n i))) (fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 n i) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(*.f64 n (*.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i)))
(/.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 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) i))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 n i)))
(*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64)) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (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 (/.f64 (neg.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 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) i))
(fma.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (neg.f64 (*.f64 n (/.f64 #s(literal 100 binary64) i))))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 #s(literal 100 binary64) i)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) i))
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i (*.f64 i (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))) (*.f64 i i))
(fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) (/.f64 #s(literal 1 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) i))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) i) (/.f64 (*.f64 n n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 i (neg.f64 n)) i) (*.f64 i (/.f64 i (neg.f64 n)))))
(/.f64 (fma.f64 #s(literal 100 binary64) i (*.f64 (/.f64 i (neg.f64 n)) (*.f64 #s(literal 100 binary64) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))) (*.f64 (/.f64 i (neg.f64 n)) i))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (neg.f64 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))
Calls

3 calls:

24.0ms
n
18.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
17.0ms
(*.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
90.3%3n
74.1%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)))
74.1%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes55.0ms (0.3%)

Memory
5.4MiB live, 44.5MiB allocated
Counts
50 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 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 0 binary64) i)
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 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 #s(literal 25/6 binary64) (*.f64 (*.f64 i (*.f64 i i)) n))
(*.f64 i (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 n (fma.f64 i (*.f64 i (*.f64 i #s(literal 25/6 binary64))) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 n i))
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(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 n (fma.f64 i (fma.f64 i (+.f64 (*.f64 i #s(literal 25/6 binary64)) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 n (*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 #s(literal 1 binary64) i)))
(*.f64 n (*.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) i)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 i n)))
(/.f64 (*.f64 i (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))) i)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.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 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (*.f64 (neg.f64 i) (/.f64 #s(literal -1 binary64) (/.f64 i n))))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 i (/.f64 #s(literal 1 binary64) n)))
(*.f64 n (*.f64 (/.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) i) i))
(/.f64 (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) n) i)
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (*.f64 (*.f64 n #s(literal 1 binary64)) (/.f64 #s(literal 100 binary64) i)))
(fma.f64 (/.f64 (fma.f64 n i n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 n (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) i)))
(/.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 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 i i) i) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 n (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))))))
(*.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 #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 #s(literal 100 binary64) (/.f64 (/.f64 (neg.f64 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) (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)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 (*.f64 i (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 100 binary64)) (*.f64 (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 (*.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 i (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 (/.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))) (/.f64 i n))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 n i)) (*.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 n i))) (*.f64 (/.f64 n i) (/.f64 n i))) (fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 n i) (/.f64 n i))))
Outputs
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (neg.f64 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 n (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))))))
Calls

2 calls:

39.0ms
i
13.0ms
n
Results
AccuracySegmentsBranch
70.2%3i
78.3%3n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes42.0ms (0.2%)

Memory
4.6MiB live, 44.0MiB allocated
Counts
42 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 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 0 binary64) i)
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 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 #s(literal 25/6 binary64) (*.f64 (*.f64 i (*.f64 i i)) n))
(*.f64 i (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 n (fma.f64 i (*.f64 i (*.f64 i #s(literal 25/6 binary64))) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 n i))
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(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 n (fma.f64 i (fma.f64 i (+.f64 (*.f64 i #s(literal 25/6 binary64)) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 n (*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 #s(literal 1 binary64) i)))
(*.f64 n (*.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) i)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 i n)))
(/.f64 (*.f64 i (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))) i)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.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 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (*.f64 (neg.f64 i) (/.f64 #s(literal -1 binary64) (/.f64 i n))))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 i (/.f64 #s(literal 1 binary64) n)))
(*.f64 n (*.f64 (/.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) i) i))
(/.f64 (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) n) i)
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (*.f64 (*.f64 n #s(literal 1 binary64)) (/.f64 #s(literal 100 binary64) i)))
(fma.f64 (/.f64 (fma.f64 n i n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 n (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) i)))
(/.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 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 i i) i) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 n (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))))))
(*.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 #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)))
Outputs
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
#s(literal 0 binary64)
(*.f64 #s(literal 100 binary64) (*.f64 (neg.f64 i) (/.f64 #s(literal -1 binary64) (/.f64 i n))))
(*.f64 n (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))))))
Calls

3 calls:

19.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
11.0ms
n
9.0ms
(*.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
58.9%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)))
58.9%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
74.2%4n
Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes12.0ms (0.1%)

Memory
19.3MiB live, 19.3MiB allocated
Counts
38 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 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 0 binary64) i)
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 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 #s(literal 25/6 binary64) (*.f64 (*.f64 i (*.f64 i i)) n))
(*.f64 i (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 n (fma.f64 i (*.f64 i (*.f64 i #s(literal 25/6 binary64))) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 n i))
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(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 n (fma.f64 i (fma.f64 i (+.f64 (*.f64 i #s(literal 25/6 binary64)) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 n (*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 #s(literal 1 binary64) i)))
(*.f64 n (*.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) i)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 i n)))
(/.f64 (*.f64 i (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))) i)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.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 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (*.f64 (neg.f64 i) (/.f64 #s(literal -1 binary64) (/.f64 i n))))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 i (/.f64 #s(literal 1 binary64) n)))
(*.f64 n (*.f64 (/.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) i) i))
(/.f64 (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) n) i)
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (*.f64 (*.f64 n #s(literal 1 binary64)) (/.f64 #s(literal 100 binary64) i)))
(fma.f64 (/.f64 (fma.f64 n i n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 n (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) i)))
(/.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 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 i i) i) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
Outputs
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
#s(literal 0 binary64)
(*.f64 #s(literal 100 binary64) (*.f64 (neg.f64 i) (/.f64 #s(literal -1 binary64) (/.f64 i n))))
(*.f64 n (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) i)))
Calls

1 calls:

10.0ms
n
Results
AccuracySegmentsBranch
74.2%4n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.1%)

Memory
-20.0MiB live, 19.4MiB allocated
Counts
35 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 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 0 binary64) i)
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 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 #s(literal 25/6 binary64) (*.f64 (*.f64 i (*.f64 i i)) n))
(*.f64 i (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 n (fma.f64 i (*.f64 i (*.f64 i #s(literal 25/6 binary64))) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 n i))
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(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 n (fma.f64 i (fma.f64 i (+.f64 (*.f64 i #s(literal 25/6 binary64)) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 n (*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 #s(literal 1 binary64) i)))
(*.f64 n (*.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) i)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 i n)))
(/.f64 (*.f64 i (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))) i)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.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 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (*.f64 (neg.f64 i) (/.f64 #s(literal -1 binary64) (/.f64 i n))))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 i (/.f64 #s(literal 1 binary64) n)))
(*.f64 n (*.f64 (/.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) i) i))
(/.f64 (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) n) i)
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (*.f64 (*.f64 n #s(literal 1 binary64)) (/.f64 #s(literal 100 binary64) i)))
(fma.f64 (/.f64 (fma.f64 n i n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
Outputs
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
#s(literal 0 binary64)
(*.f64 #s(literal 100 binary64) (*.f64 (neg.f64 i) (/.f64 #s(literal -1 binary64) (/.f64 i n))))
(/.f64 (*.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) n) i)
Calls

1 calls:

17.0ms
n
Results
AccuracySegmentsBranch
74.1%4n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated
Counts
32 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 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 0 binary64) i)
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 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 #s(literal 25/6 binary64) (*.f64 (*.f64 i (*.f64 i i)) n))
(*.f64 i (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 n (fma.f64 i (*.f64 i (*.f64 i #s(literal 25/6 binary64))) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 n i))
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(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 n (fma.f64 i (fma.f64 i (+.f64 (*.f64 i #s(literal 25/6 binary64)) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 n (*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 #s(literal 1 binary64) i)))
(*.f64 n (*.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) i)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 i n)))
(/.f64 (*.f64 i (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))) i)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.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 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (*.f64 (neg.f64 i) (/.f64 #s(literal -1 binary64) (/.f64 i n))))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 i (/.f64 #s(literal 1 binary64) n)))
(*.f64 n (*.f64 (/.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) i) i))
Outputs
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
#s(literal 0 binary64)
(*.f64 #s(literal 100 binary64) (*.f64 (neg.f64 i) (/.f64 #s(literal -1 binary64) (/.f64 i n))))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
Calls

1 calls:

9.0ms
n
Results
AccuracySegmentsBranch
73.9%4n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0%)

Memory
5.3MiB live, 5.3MiB allocated
Counts
26 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 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 0 binary64) i)
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 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 #s(literal 25/6 binary64) (*.f64 (*.f64 i (*.f64 i i)) n))
(*.f64 i (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 n (fma.f64 i (*.f64 i (*.f64 i #s(literal 25/6 binary64))) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 n i))
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(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 n (fma.f64 i (fma.f64 i (+.f64 (*.f64 i #s(literal 25/6 binary64)) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 n (*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 #s(literal 1 binary64) i)))
(*.f64 n (*.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) i)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 i n)))
(/.f64 (*.f64 i (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))) i)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.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 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
Outputs
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
#s(literal 0 binary64)
(*.f64 i (*.f64 (/.f64 n i) #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

1 calls:

8.0ms
n
Results
AccuracySegmentsBranch
73.9%4n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated
Counts
16 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 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 0 binary64) i)
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 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 #s(literal 25/6 binary64) (*.f64 (*.f64 i (*.f64 i i)) n))
(*.f64 i (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 n (fma.f64 i (*.f64 i (*.f64 i #s(literal 25/6 binary64))) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 n i))
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
Outputs
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 n #s(literal 100 binary64)))
#s(literal 0 binary64)
(*.f64 i (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 n (fma.f64 i (*.f64 i (*.f64 i #s(literal 25/6 binary64))) #s(literal 100 binary64)))
Calls

1 calls:

5.0ms
n
Results
AccuracySegmentsBranch
73.6%4n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Counts
14 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 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 0 binary64) i)
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 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 #s(literal 25/6 binary64) (*.f64 (*.f64 i (*.f64 i i)) n))
(*.f64 i (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 n (fma.f64 i (*.f64 i (*.f64 i #s(literal 25/6 binary64))) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 n i))
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
Outputs
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
#s(literal 0 binary64)
(*.f64 i (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 n (fma.f64 i (*.f64 i (*.f64 i #s(literal 25/6 binary64))) #s(literal 100 binary64)))
Calls

1 calls:

5.0ms
n
Results
AccuracySegmentsBranch
73.6%4n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Counts
11 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 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 0 binary64) i)
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 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 #s(literal 25/6 binary64) (*.f64 (*.f64 i (*.f64 i i)) n))
(*.f64 i (*.f64 (/.f64 n i) #s(literal 100 binary64)))
Outputs
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
#s(literal 0 binary64)
(*.f64 i (*.f64 (/.f64 n i) #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)))
Calls

1 calls:

4.0ms
n
Results
AccuracySegmentsBranch
72.1%4n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes112.0ms (0.6%)

Memory
-55.7MiB live, 5.7MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 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 0 binary64) i)
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 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 #s(literal 25/6 binary64) (*.f64 (*.f64 i (*.f64 i i)) n))
Outputs
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
#s(literal 0 binary64)
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
Calls

2 calls:

108.0ms
n
4.0ms
i
Results
AccuracySegmentsBranch
65.5%3i
69.8%3n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 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 0 binary64) i)
(*.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))
#s(literal 0 binary64)
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
Calls

1 calls:

3.0ms
n
Results
AccuracySegmentsBranch
66.8%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 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 0 binary64) i)
Outputs
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
#s(literal 0 binary64)
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
Calls

1 calls:

3.0ms
n
Results
AccuracySegmentsBranch
66.8%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
Outputs
#s(literal 0 binary64)
(*.f64 n #s(literal 100 binary64))
#s(literal 0 binary64)
Calls

2 calls:

2.0ms
n
2.0ms
i
Results
AccuracySegmentsBranch
62.4%3i
62.1%3n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Memory
6.0MiB live, 6.0MiB allocated
Accuracy

Total -12.3b remaining (-24.4%)

Threshold costs -12.3b (-24.4%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 i #s(literal -50 binary64))
Outputs
#s(literal 0 binary64)
Calls

4 calls:

1.0ms
i
1.0ms
n
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
21.4%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)))
21.4%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
21.4%1n
21.4%1i
Compiler

Compiled 38 to 22 computations (42.1% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
0.0
2.9927558471178773e-186
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch106.0ms (0.6%)

Memory
7.1MiB live, 84.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
44.0ms
1.3504257613264257e-8
3.18781951654846
55.0ms
-9.096546857379183e+20
-0.0020762168676169376
Samples
41.0ms93×2valid
26.0ms122×1valid
11.0ms105×0valid
5.0ms82×0invalid
Compiler

Compiled 640 to 475 computations (25.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-pow: 41.0ms (60.5% of total)
ival-div: 9.0ms (13.3% of total)
adjust: 6.0ms (8.9% of total)
ival-sub: 4.0ms (5.9% of total)
ival-mult: 4.0ms (5.9% of total)
ival-add: 3.0ms (4.4% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch89.0ms (0.5%)

Memory
14.7MiB live, 53.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
47.0ms
1.3504257613264257e-8
3.18781951654846
36.0ms
-2.5265310352897303e+66
-1.798560711954353e+65
Samples
31.0ms65×2valid
26.0ms87×1valid
7.0ms9×3valid
6.0ms79×0valid
2.0ms38×0invalid
Compiler

Compiled 581 to 429 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-pow: 37.0ms (59.4% of total)
ival-div: 12.0ms (19.3% of total)
adjust: 4.0ms (6.4% of total)
ival-sub: 3.0ms (4.8% of total)
ival-add: 3.0ms (4.8% of total)
ival-mult: 3.0ms (4.8% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch196.0ms (1.1%)

Memory
-30.8MiB live, 48.8MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
86.0ms
1.3504257613264257e-8
3.18781951654846
25.0ms
2.209293886878659e-169
1.9482410048857995e-168
76.0ms
-3.329241886003345e-197
-5.307126966674635e-202
Samples
89.0ms123×2valid
45.0ms156×0invalid
24.0ms135×1valid
7.0ms106×0valid
3.0ms4×3valid
Compiler

Compiled 572 to 436 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 151.0ms
adjust: 48.0ms (31.8% of total)
ival-sub: 41.0ms (27.1% of total)
ival-pow: 39.0ms (25.8% of total)
ival-div: 12.0ms (7.9% of total)
ival-mult: 5.0ms (3.3% of total)
ival-add: 4.0ms (2.6% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch139.0ms (0.8%)

Memory
27.7MiB live, 145.6MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
52.0ms
3.18781951654846
162.01242469855256
28.0ms
2.209293886878659e-169
1.9482410048857995e-168
51.0ms
-3.329241886003345e-197
-5.307126966674635e-202
Samples
65.0ms117×2valid
28.0ms125×1valid
10.0ms164×0invalid
6.0ms87×0valid
5.0ms7×3valid
Compiler

Compiled 504 to 386 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-pow: 51.0ms (52.9% of total)
ival-div: 17.0ms (17.6% of total)
adjust: 14.0ms (14.5% of total)
ival-sub: 5.0ms (5.2% of total)
ival-mult: 5.0ms (5.2% of total)
ival-add: 4.0ms (4.1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch159.0ms (0.9%)

Memory
-22.8MiB live, 174.0MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
47.0ms
1.3504257613264257e-8
3.18781951654846
30.0ms
2.209293886878659e-169
1.9482410048857995e-168
46.0ms
-3.329241886003345e-197
-5.307126966674635e-202
Samples
56.0ms143×2valid
23.0ms130×1valid
12.0ms171×0invalid
6.0ms90×0valid
5.0ms5×3valid
Compiler

Compiled 554 to 418 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-pow: 46.0ms (54.5% of total)
ival-div: 15.0ms (17.8% of total)
adjust: 8.0ms (9.5% of total)
ival-sub: 5.0ms (5.9% of total)
ival-add: 5.0ms (5.9% of total)
ival-mult: 5.0ms (5.9% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch133.0ms (0.7%)

Memory
5.1MiB live, 204.5MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
48.0ms
1.3504257613264257e-8
3.18781951654846
35.0ms
2.209293886878659e-169
1.9482410048857995e-168
40.0ms
-3.329241886003345e-197
-5.307126966674635e-202
Samples
48.0ms119×2valid
30.0ms135×1valid
13.0ms164×0invalid
7.0ms107×0valid
5.0ms7×3valid
Compiler

Compiled 518 to 400 computations (22.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-pow: 42.0ms (50% of total)
ival-div: 20.0ms (23.8% of total)
adjust: 7.0ms (8.3% of total)
ival-sub: 5.0ms (6% of total)
ival-mult: 5.0ms (6% of total)
ival-add: 4.0ms (4.8% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch123.0ms (0.7%)

Memory
25.5MiB live, 224.5MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
43.0ms
1.3504257613264257e-8
3.18781951654846
26.0ms
2.209293886878659e-169
1.9482410048857995e-168
45.0ms
-3.329241886003345e-197
-5.307126966674635e-202
Samples
48.0ms120×2valid
25.0ms141×1valid
9.0ms154×0invalid
9.0ms104×0valid
2.0ms3×3valid
Compiler

Compiled 473 to 355 computations (24.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-pow: 40.0ms (53.7% of total)
ival-div: 12.0ms (16.1% of total)
adjust: 7.0ms (9.4% of total)
ival-add: 5.0ms (6.7% of total)
ival-mult: 5.0ms (6.7% of total)
ival-sub: 4.0ms (5.4% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch146.0ms (0.8%)

Memory
-8.2MiB live, 260.2MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
53.0ms
1.3504257613264257e-8
3.18781951654846
32.0ms
2.209293886878659e-169
1.9482410048857995e-168
49.0ms
-3.329241886003345e-197
-5.307126966674635e-202
Samples
52.0ms129×2valid
32.0ms123×1valid
13.0ms181×0invalid
9.0ms10×3valid
7.0ms106×0valid
Compiler

Compiled 455 to 337 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-pow: 43.0ms (50.4% of total)
ival-div: 15.0ms (17.6% of total)
adjust: 9.0ms (10.6% of total)
ival-sub: 7.0ms (8.2% of total)
ival-add: 5.0ms (5.9% of total)
ival-mult: 5.0ms (5.9% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch147.0ms (0.8%)

Memory
-21.0MiB live, 239.2MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
46.0ms
1.3504257613264257e-8
3.18781951654846
30.0ms
2.209293886878659e-169
1.9482410048857995e-168
60.0ms
-3.329241886003345e-197
-5.307126966674635e-202
Samples
62.0ms114×2valid
28.0ms149×1valid
11.0ms185×0invalid
7.0ms97×0valid
5.0ms8×3valid
Compiler

Compiled 439 to 329 computations (25.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-pow: 58.0ms (62% of total)
ival-div: 13.0ms (13.9% of total)
adjust: 7.0ms (7.5% of total)
ival-sub: 5.0ms (5.3% of total)
ival-add: 5.0ms (5.3% of total)
ival-mult: 5.0ms (5.3% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch232.0ms (1.3%)

Memory
23.6MiB live, 136.9MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
143.0ms
1.3504257613264257e-8
3.18781951654846
30.0ms
2.209293886878659e-169
1.9482410048857995e-168
50.0ms
-3.329241886003345e-197
-5.307126966674635e-202
Samples
152.0ms140×2valid
24.0ms129×1valid
11.0ms16×3valid
11.0ms186×0invalid
6.0ms83×0valid
Compiler

Compiled 430 to 329 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 185.0ms
ival-add: 96.0ms (51.9% of total)
ival-pow: 56.0ms (30.3% of total)
ival-div: 13.0ms (7% of total)
adjust: 8.0ms (4.3% of total)
ival-sub: 5.0ms (2.7% of total)
ival-mult: 5.0ms (2.7% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch95.0ms (0.5%)

Memory
-24.0MiB live, 90.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
35.0ms
2.209293886878659e-169
1.9482410048857995e-168
50.0ms
-3.329241886003345e-197
-5.307126966674635e-202
Samples
34.0ms71×2valid
16.0ms102×1valid
9.0ms153×0invalid
6.0ms9×3valid
2.0ms42×0valid
Compiler

Compiled 244 to 197 computations (19.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-pow: 23.0ms (48.8% of total)
ival-div: 9.0ms (19.1% of total)
adjust: 5.0ms (10.6% of total)
ival-add: 3.0ms (6.4% of total)
ival-sub: 3.0ms (6.4% of total)
ival-mult: 3.0ms (6.4% of total)
exact: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch91.0ms (0.5%)

Memory
1.7MiB live, 86.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
28.0ms
2.209293886878659e-169
1.9482410048857995e-168
51.0ms
-3.329241886003345e-197
-5.307126966674635e-202
Samples
29.0ms71×2valid
13.0ms85×1valid
11.0ms16×3valid
9.0ms164×0invalid
3.0ms52×0valid
Compiler

Compiled 218 to 177 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-pow: 29.0ms (54% of total)
ival-div: 9.0ms (16.8% of total)
adjust: 5.0ms (9.3% of total)
ival-add: 3.0ms (5.6% of total)
ival-sub: 3.0ms (5.6% of total)
ival-mult: 3.0ms (5.6% of total)
exact: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch83.0ms (0.5%)

Memory
7.0MiB live, 82.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
31.0ms
2.209293886878659e-169
1.9482410048857995e-168
45.0ms
-3.329241886003345e-197
-5.307126966674635e-202
Samples
32.0ms75×2valid
15.0ms95×1valid
8.0ms127×0invalid
3.0ms51×0valid
2.0ms3×3valid
Compiler

Compiled 202 to 169 computations (16.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-pow: 27.0ms (55.3% of total)
ival-div: 8.0ms (16.4% of total)
adjust: 4.0ms (8.2% of total)
ival-add: 3.0ms (6.1% of total)
ival-sub: 3.0ms (6.1% of total)
ival-mult: 3.0ms (6.1% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch109.0ms (0.6%)

Memory
9.5MiB live, 108.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
50.0ms
2.16654157262871e-14
0.0002111061739020666
53.0ms
-9.74522221086183e-8
-4.815234816840803e-15
Samples
81.0ms298×1valid
7.0ms72×0invalid
0.0ms6×0valid
Compiler

Compiled 210 to 186 computations (11.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-pow: 34.0ms (53.7% of total)
ival-div: 13.0ms (20.5% of total)
adjust: 5.0ms (7.9% of total)
ival-add: 3.0ms (4.7% of total)
ival-sub: 3.0ms (4.7% of total)
ival-mult: 3.0ms (4.7% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify23.0ms (0.1%)

Memory
-16.7MiB live, 21.8MiB allocated
Algorithm
1×egg-herbie
Rules
80×*-commutative_binary64
32×+-commutative_binary64
30×neg-sub0_binary64
30×neg-mul-1_binary64
28×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0174601
1211601
2232601
3266601
4291601
5304601
6310601
7311601
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 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))))
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#s(literal 0 binary64)
Outputs
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 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 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 -3804640965202595/1152921504606846976 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (if (<=.f64 n #s(literal 5854679515581645/4503599627370496 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (neg.f64 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))))
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(if (<=.f64 n #s(literal -3703135674690055/168324348849547952231711676252164117297610873690341563503944988898199428937506586307637329160882830439263455003397702966816621832005881723620090072660860187198567157476110227142133240252298326952681384055545004032 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 n #s(literal 2889390680923213/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024 binary64)) #s(literal 0 binary64) (if (<=.f64 n #s(literal 8106479329266893/4503599627370496 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 i (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 i) n)))) (*.f64 n (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))))))))
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(if (<=.f64 n #s(literal -3366486976990959/673297395398191808926846705008656469190443494761366254015779955592797715750026345230549316643531321757053820013590811867266487328023526894480360290643440748794268629904440908568532961009193307810725536222180016128 binary64)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) (if (<=.f64 n #s(literal 3080600358337249/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512 binary64)) #s(literal 0 binary64) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
(if (<=.f64 i #s(literal -7177997053961861/75557863725914323419136 binary64)) #s(literal 0 binary64) (if (<=.f64 i #s(literal 2674777890687885/18446744073709551616 binary64)) (*.f64 n #s(literal 100 binary64)) #s(literal 0 binary64)))
#s(literal 0 binary64)

soundness1.5s (8.6%)

Memory
13.1MiB live, 774.1MiB allocated
Rules
13 658×lower-fma.f64
13 658×lower-fma.f32
11 188×lower-fma.f64
11 188×lower-fma.f32
11 112×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01044
01644
17344
257044
3735444
0866938
09388684
130538220
085307550
031184
062175
1260169
22101169
08261169
05153831
116243489
255233268
081372980
036250
068246
1300190
22442186
08173182
05704965
118214619
258644276
087463823
027126
051116
1195110
21503108
08616108
09779790
131499105
085888310
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×node limit
1×iter limit
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×node limit
1×iter limit
Compiler

Compiled 1 899 to 1 077 computations (43.3% saved)

preprocess142.0ms (0.8%)

Memory
1.7MiB live, 79.4MiB allocated
Compiler

Compiled 1 324 to 406 computations (69.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...