Compound Interest

Time bar (total: 15.1s)

analyze169.0ms (1.1%)

Memory
-11.5MiB live, 359.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
12.5%12.5%87.4%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
39.1%39%60.9%0.1%0%0%0%7
44.5%44.5%55.4%0.1%0%0%0%8
55.3%55%44.5%0.1%0%0.4%0%9
59.3%58.7%40.4%0.1%0%0.8%0%10
65.5%64.5%34%0.1%0%1.5%0%11
67.8%66.6%31.6%0.1%0%1.8%0%12
Compiler

Compiled 17 to 12 computations (29.4% saved)

sample4.4s (28.9%)

Memory
27.6MiB live, 4 470.0MiB allocated
Samples
2.4s4 578×1valid
910.0ms1 610×2valid
209.0ms2 021×0valid
134.0ms1 950×0invalid
41.0ms47×3valid
3.0ms32×1exit
Precisions
Click to see histograms. Total time spent on operations: 3.3s
ival-pow: 2.2s (66.2% of total)
ival-div: 345.0ms (10.6% of total)
adjust: 267.0ms (8.2% of total)
ival-sub: 207.0ms (6.3% of total)
ival-mult: 167.0ms (5.1% of total)
ival-add: 95.0ms (2.9% of total)
exact: 9.0ms (0.3% of total)
ival-true: 8.0ms (0.2% of total)
ival-assert: 4.0ms (0.1% of total)
Bogosity

preprocess196.0ms (1.3%)

Memory
18.3MiB live, 176.7MiB 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)))

explain297.0ms (2%)

Memory
-8.6MiB live, 557.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1830-0-(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
5774(-8.88326870882521e-224 -7.66675288303953e+297)0-(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
460-5(1.1177991557344904e-271 -2.0493075515353527e+52)(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
10-0-(+.f64 #s(literal 1 binary64) (/.f64 i n))
11(2.2576386786142287e-242 4.458343087517682e-285)0-(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
00-0-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))cancellation1830
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)sensitivity1190
/.f64(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))n/u410
↳(/.f64 i n)underflow41
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)oflow-rescue120
↳(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)overflow24
↳(/.f64 i n)overflow12
↳(+.f64 #s(literal 1 binary64) (/.f64 i n))overflow12
*.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*u20
+.f64(+.f64 #s(literal 1 binary64) (/.f64 i n))cancellation10
Confusion
Predicted +Predicted -
+2080
-1434
Precision
0.9369369369369369
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+20800
-14034
Precision?
0.9369369369369369
Recall?
1.0
Freqs
test
numberfreq
034
1127
254
341
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
90.0ms286×1valid
65.0ms136×2valid
10.0ms86×0valid
3.0ms4×3valid
Compiler

Compiled 150 to 44 computations (70.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 141.0ms
ival-pow: 86.0ms (60.8% of total)
ival-div: 20.0ms (14.1% of total)
adjust: 14.0ms (9.9% of total)
ival-mult: 8.0ms (5.7% of total)
ival-sub: 6.0ms (4.2% of total)
ival-add: 6.0ms (4.2% 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
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶22.3%
(*.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)

simplify159.0ms (1.1%)

Memory
14.1MiB live, 120.5MiB 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

localize113.0ms (0.7%)

Memory
-17.5MiB live, 199.7MiB 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)))
✓accuracy83.8%
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
✓accuracy80.2%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓accuracy34.5%
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
Samples
54.0ms143×1valid
35.0ms68×2valid
7.0ms43×0valid
2.0ms2×3valid
Compiler

Compiled 58 to 12 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-pow: 42.0ms (53.8% of total)
ival-div: 21.0ms (26.9% of total)
adjust: 6.0ms (7.7% of total)
ival-sub: 3.0ms (3.8% of total)
ival-add: 3.0ms (3.8% of total)
ival-mult: 3.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
-1.2MiB live, 37.7MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())
#s(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))) (patch (*.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))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())
Outputs
#s(alt n (taylor 0 i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))) (taylor 0 i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i) (taylor inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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) (taylor inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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) (taylor inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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) (taylor inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i) (taylor -inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf i) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i) (taylor 0 n) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 n) (#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())) ())
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#s(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))) (taylor -inf n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
Calls

24 calls:

TimeVariablePointExpression
4.0ms
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))

rewrite320.0ms (2.1%)

Memory
20.8MiB live, 369.2MiB 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)))
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(*.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 i (/.f64 i (*.f64 n n)))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) n))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.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))))

simplify619.0ms (4.1%)

Memory
-30.1MiB live, 410.5MiB 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))
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i))
(* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i))
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))
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)))))))
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(expm1.f64 i)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (*.f64 i (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 (*.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)))) (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 #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)) (neg.f64 n)) (expm1.f64 i))
1
#s(literal 1 binary64)
(+ 1 i)
(+.f64 i #s(literal 1 binary64))
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
(fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
(*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(fma.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) (/.f64 (*.f64 n n) i) (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))
(fma.f64 (/.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)))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
(fma.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) (+.f64 (/.f64 (*.f64 n n) i) (+.f64 (/.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 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 (pow.f64 n (neg.f64 n)) (pow.f64 i n)))
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(fma.f64 (*.f64 n n) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n)) i) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n)))
(+ (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)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (/.f64 (*.f64 (*.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))
(+ (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)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n) (/.f64 (fma.f64 n (*.f64 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 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) 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)))) (/.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)))) (neg.f64 i)))) i)) i))
1
#s(literal 1 binary64)
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) #s(literal 1 binary64))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(fma.f64 n (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i)) (-.f64 (log.f64 i) (log.f64 n))) #s(literal 1 binary64))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
(fma.f64 n (fma.f64 n (fma.f64 n (+.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) (/.f64 #s(literal -1/2 binary64) (*.f64 i i))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i))) (-.f64 (log.f64 i) (log.f64 n))) #s(literal 1 binary64))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (*.f64 i (exp.f64 i))) n) (exp.f64 i))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))
(fma.f64 (exp.f64 i) (/.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (*.f64 n n)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (*.f64 i (exp.f64 i))) 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 (exp.f64 i) (+.f64 (/.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (*.f64 n n)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (fma.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (*.f64 n (*.f64 n n)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (*.f64 i (exp.f64 i))) n) (exp.f64 i)))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (*.f64 i (exp.f64 i))) n) (exp.f64 i))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(-.f64 (exp.f64 i) (/.f64 (*.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))

eval73.0ms (0.5%)

Memory
13.4MiB live, 129.1MiB allocated
Compiler

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

prune124.0ms (0.8%)

Memory
24.8MiB live, 142.4MiB allocated
Pruning

30 alts after pruning (30 fresh and 0 done)

PrunedKeptTotal
New56230592
Fresh000
Picked101
Done000
Total56330593
Accuracy
99.8%
Counts
593 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶17.3%
(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)))
51.4%
(fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (*.f64 n i) (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))))))) (*.f64 n #s(literal 100 binary64)))
22.7%
(/.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)
70.6%
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
11.0%
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)
22.3%
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
22.3%
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
54.6%
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
▶22.7%
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
22.7%
(*.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) (/.f64 #s(literal 1 binary64) i))
70.3%
(*.f64 n (fma.f64 (/.f64 (*.f64 i (exp.f64 i)) n) #s(literal -50 binary64) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))))
▶51.3%
(*.f64 n #s(literal 100 binary64))
18.0%
(*.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)))
18.3%
(*.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)))
18.0%
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
53.7%
(*.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))
51.4%
(*.f64 #s(literal 100 binary64) (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))
38.0%
(*.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)))
35.8%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
39.9%
(*.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)))
▶10.1%
(*.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)))
12.0%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
15.6%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i (neg.f64 n))) (/.f64 i (neg.f64 n))) (neg.f64 (*.f64 i (/.f64 i (*.f64 n n))))))
13.0%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
11.3%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
70.8%
(*.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)))
60.0%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
10.9%
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
11.0%
(*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n n) (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))))
Compiler

Compiled 1 356 to 844 computations (37.8% saved)

simplify333.0ms (2.2%)

Memory
-15.2MiB live, 461.8MiB 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
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))
✓cost-diff0
(*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))
✓cost-diff0
(/.f64 #s(literal 100 binary64) i)
✓cost-diff128
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
✓cost-diff0
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (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)))
✓cost-diff256
(-.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))
✓cost-diff512
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
✓cost-diff1408
(/.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))
✓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
12 246×lower-fma.f32
12 238×lower-fma.f64
3 320×lower-*.f32
3 302×lower-*.f64
2 380×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041377
078364
1165356
2433355
31273347
44761347
08219341
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 (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)))
#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 (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))
(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))
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))
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
#s(literal 1/3 binary64)
(*.f64 n n)
n
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))
#s(literal 1/6 binary64)
(/.f64 #s(literal -1/2 binary64) n)
#s(literal -1/2 binary64)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1 binary64)
(/.f64 i n)
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
(/.f64 #s(literal 100 binary64) i)
#s(literal 100 binary64)
i
(*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))
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)
#s(literal -1 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 (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 #s(literal 100 binary64) n) (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 i #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#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 n (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 i #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.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))
(fma.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 i #s(literal 1 binary64)) #s(literal 1/2 binary64))) (*.f64 i i) i)
(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))
(fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 i #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
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))
(fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 i #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 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) (/.f64 #s(literal 1/2 binary64) n)))
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 i #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
#s(literal 1/3 binary64)
(*.f64 n n)
n
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))
#s(literal 1/6 binary64)
(/.f64 #s(literal -1/2 binary64) n)
#s(literal -1/2 binary64)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1 binary64)
(/.f64 i n)
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 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 #s(literal 100 binary64) i)
#s(literal 100 binary64)
i
(*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))
(fma.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 n))
n
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))
(+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+.f64 (/.f64 i n) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 i n)
#s(literal -1 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 n (/.f64 #s(literal -100 binary64) i))
(/.f64 (neg.f64 n) i)
(/.f64 n (neg.f64 i))
(neg.f64 n)

localize337.0ms (2.2%)

Memory
2.9MiB live, 539.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 i n))
✓accuracy99.7%
(*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64))
✓accuracy80.2%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓accuracy38.6%
(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)))
✓accuracy99.9%
(*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))
✓accuracy90.7%
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
✓accuracy80.2%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓accuracy35.6%
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))
✓accuracy98.8%
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
✓accuracy93.6%
(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)))
✓accuracy75.4%
(/.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))
✓accuracy50.8%
(-.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))
✓accuracy100.0%
(*.f64 n #s(literal 100 binary64))
✓accuracy99.8%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
✓accuracy95.4%
(log1p.f64 (/.f64 i n))
✓accuracy84.2%
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
✓accuracy84.1%
(*.f64 n (log1p.f64 (/.f64 i n)))
Samples
124.0ms135×1valid
97.0ms76×2valid
11.0ms34×0valid
9.0ms3×5exit
3.0ms8×0invalid
Compiler

Compiled 411 to 47 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 198.0ms
ival-pow: 51.0ms (25.8% of total)
ival-div: 42.0ms (21.2% of total)
ival-mult: 37.0ms (18.7% of total)
adjust: 23.0ms (11.6% of total)
ival-add: 17.0ms (8.6% of total)
const: 10.0ms (5.1% of total)
ival-log1p: 8.0ms (4% of total)
ival-sub: 4.0ms (2% of total)
ival-expm1: 4.0ms (2% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series134.0ms (0.9%)

Memory
-12.1MiB live, 64.4MiB allocated
Counts
21 → 468
Calls
Call 1
Inputs
#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())
#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) (patch (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) #<representation binary64>) () ())
#s(alt (*.f64 n (log1p.f64 (/.f64 i n))) (patch (*.f64 n (log1p.f64 (/.f64 i n))) #<representation binary64>) () ())
#s(alt (*.f64 n #s(literal 100 binary64)) (patch (*.f64 n #s(literal 100 binary64)) #<representation binary64>) () ())
#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())
#s(alt (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))) (patch (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))) #<representation binary64>) () ())
#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))) (patch (*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 100 binary64) i) (patch (/.f64 #s(literal 100 binary64) i) #<representation binary64>) () ())
#s(alt (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) (patch (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (patch (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(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))) (patch (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))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)) (patch (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) (patch (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (patch (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) #<representation binary64>) () ())
#s(alt (log1p.f64 (/.f64 i n)) (patch (log1p.f64 (/.f64 i n)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 i n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 i n)) #<representation binary64>) () ())
Outputs
#s(alt (* n (+ (log i) (* -1 (log n)))) (taylor 0 n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))) (taylor 0 n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (- (exp i) 1) (taylor inf n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1) (taylor inf n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(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) (taylor inf n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(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) (taylor inf n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (- (exp i) 1) (taylor -inf n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1) (taylor -inf n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(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) (taylor -inf n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(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) (taylor -inf n) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt i (taylor 0 i) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))) (taylor 0 i) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))) (taylor 0 i) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 i) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) (taylor inf i) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1) (taylor inf i) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(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) (taylor inf i) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(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) (taylor inf i) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1) (taylor -inf i) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(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) (taylor -inf i) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(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) (taylor -inf i) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(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) (taylor -inf i) (#s(alt (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (patch (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i) (taylor 0 n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp i) 1)) i) (taylor inf n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))) (taylor inf n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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))) (taylor inf n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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))) (taylor inf n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp i) 1)) i) (taylor -inf n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n))))) (taylor -inf n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf n) (#s(alt (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) (patch (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) #<representation binary64>) () ())) ())
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#s(alt (/ 1/3 (pow n 2)) (taylor 0 n) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow n 2)) (taylor inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow n 2)) (taylor inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow n 2)) (taylor inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow n 2)) (taylor inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow n 2)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow n 2)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow n 2)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow n 2)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (+ 1 i) (taylor 0 i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) (taylor 0 i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (taylor inf i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) (taylor inf i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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))) (taylor inf i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (taylor -inf i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf i) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* n (+ (log i) (* -1 (log n))))) (taylor 0 n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))) (taylor 0 n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (exp i) (taylor inf n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) (taylor inf n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (exp i) (taylor -inf n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) (taylor -inf n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf n) (#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 i) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 i n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ i n)) (taylor 0 i) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 i n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ i n)) (taylor 0 i) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 i n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ i n)) (taylor 0 i) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 i n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (/ i n) (taylor inf i) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 i n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (* i (+ (/ 1 i) (/ 1 n))) (taylor inf i) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 i n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (* i (+ (/ 1 i) (/ 1 n))) (taylor inf i) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 i n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (* i (+ (/ 1 i) (/ 1 n))) (taylor inf i) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 i n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (/ i n) (taylor -inf i) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 i n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (* i (+ (/ 1 i) (/ 1 n))) (taylor -inf i) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 i n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (* i (+ (/ 1 i) (/ 1 n))) (taylor -inf i) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 i n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (* i (+ (/ 1 i) (/ 1 n))) (taylor -inf i) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 i n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (/ i n) (taylor 0 n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 i n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (/ (+ i n) n) (taylor 0 n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 i n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (/ (+ i n) n) (taylor 0 n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 i n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (/ (+ i n) n) (taylor 0 n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 i n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 i n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ i n)) (taylor inf n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 i n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ i n)) (taylor inf n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 i n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ i n)) (taylor inf n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 i n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 i n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ i n)) (taylor -inf n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 i n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ i n)) (taylor -inf n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 i n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 i n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ i n)) (taylor -inf n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 i n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 i n)) #<representation binary64>) () ())) ())
Calls

117 calls:

TimeVariablePointExpression
3.0ms
i
@inf
(/ (- (+ (* i (+ (* i (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) 1)) 1) 1) (/ i n))
3.0ms
n
@0
(* n (log (+ 1 (/ i n))))
2.0ms
n
@inf
(log (+ 1 (/ i n)))
1.0ms
i
@inf
(+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))
1.0ms
n
@0
(/ (- (+ (* i (+ (* i (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) 1)) 1) 1) (/ i n))

rewrite338.0ms (2.2%)

Memory
-1.6MiB live, 398.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 634×lower-/.f32
4 616×lower-/.f64
3 210×lower-*.f32
3 192×lower-*.f64
2 776×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041250
078235
1362229
23210228
08558224
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 958
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 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))
(fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(-.f64 (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 #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 #s(literal 100 binary64) i) (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
(/.f64 #s(literal 100 binary64) i)
(*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 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 (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))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
Outputs
(+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))))))
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(*.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 (/.f64 i n) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(exp.f64 (log1p.f64 (/.f64 i n)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (/.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n))))
(-.f64 (/.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 (/.f64 i n) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 i n) #s(literal 1 binary64))))
(fma.f64 i (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(fma.f64 (/.f64 i n) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 i n) #s(literal 1 binary64))
(fma.f64 (neg.f64 i) (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) n) i #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 i)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) (-.f64 #s(literal 1 binary64) (/.f64 i n)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n))))) (neg.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n))))) (neg.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n))))
(/.f64 (-.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 i n) #s(literal 1 binary64)))
(/.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n))))) (exp.f64 (log1p.f64 (*.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64))))))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (/.f64 (*.f64 i i) (*.f64 n n))))) (exp.f64 (log1p.f64 (/.f64 i (neg.f64 n)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 i n) #s(literal 1 binary64))))
(pow.f64 (/.f64 (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))))

simplify466.0ms (3.1%)

Memory
31.8MiB live, 698.6MiB allocated
Algorithm
1×egg-herbie
Rules
9 912×lower-fma.f64
9 912×lower-fma.f32
8 078×lower-+.f64
8 078×lower-+.f32
5 950×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107013054
1344712096
0862011198
Stop Event
1×iter limit
1×node limit
Counts
468 → 458
Calls
Call 1
Inputs
(* n (+ (log i) (* -1 (log n))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))
(- (exp i) 1)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)
(- (exp i) 1)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1)
(- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) 1)
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) 1)
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) 1)
(/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))
(/ (* n (- (exp i) 1)) i)
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))
(/ (* n (- (exp i) 1)) i)
(* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))
(* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i))) i))
(* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) i)) (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i))
(* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))
(* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))
(* 100 n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))
(+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))
(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
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(* 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)))))
(/ i n)
(* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))
(* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))
(* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))
(+ (log (/ 1 n)) (* -1 (log (/ 1 i))))
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(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (/ n i))))
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(+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))
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(+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (* -1 (/ (+ (* -1 n) (* -1 (/ (+ (* -1/2 (pow n 2)) (* 1/3 (/ (pow n 3) i))) i))) i))))
(+ (log i) (* -1 (log n)))
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(/ i n)
(/ (+ i (* -1/2 (/ (pow i 2) n))) n)
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)
(/ i n)
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(/ 1/3 (pow n 2))
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(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
1
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(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
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(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))
(+ (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
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(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
1
(+ 1 (/ i n))
(+ 1 (/ i n))
(+ 1 (/ i n))
(/ i n)
(* i (+ (/ 1 i) (/ 1 n)))
(* i (+ (/ 1 i) (/ 1 n)))
(* i (+ (/ 1 i) (/ 1 n)))
(/ i n)
(* i (+ (/ 1 i) (/ 1 n)))
(* i (+ (/ 1 i) (/ 1 n)))
(* i (+ (/ 1 i) (/ 1 n)))
(/ i n)
(/ (+ i n) n)
(/ (+ i n) n)
(/ (+ i n) n)
1
(+ 1 (/ i n))
(+ 1 (/ i n))
(+ 1 (/ i n))
1
(+ 1 (/ i n))
(+ 1 (/ i n))
(+ 1 (/ i n))
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))))))
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(* 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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(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))
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(- (exp i) 1)
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(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
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(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)
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(- (+ (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)
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i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(fma.f64 i (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) i)
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(fma.f64 i (*.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)))) 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 i (*.f64 i (fma.f64 i (+.f64 #s(literal 1/6 binary64) (+.f64 (fma.f64 i (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) 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)
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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))) 1)
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(- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)
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(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) 1)
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(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -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)
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(/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)
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(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)
(/.f64 (+.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n n)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n) i)) (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n)))) n)
(/ i n)
(/.f64 i n)
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))
(neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) n) i) n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))
(/.f64 (-.f64 (neg.f64 i) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i (*.f64 i i)) n) (*.f64 (*.f64 i i) #s(literal -1/2 binary64))) n)) (neg.f64 n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))
(/.f64 (-.f64 (neg.f64 i) (/.f64 (fma.f64 (*.f64 i i) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 i (*.f64 i i)) #s(literal -1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 i #s(literal 4 binary64)) n))) (neg.f64 n))) n)) (neg.f64 n))
(/ 1/3 (pow n 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
(/ 1/3 (pow n 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
(/ 1/3 (pow n 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
(/ 1/3 (pow n 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
(/ 1/3 (pow n 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
(/ 1/3 (pow n 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
(/ 1/3 (pow n 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
(/ 1/3 (pow n 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
(/ 1/3 (pow n 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
(/ 1/3 (pow n 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
(/ 1/3 (pow n 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
(/ 1/3 (pow n 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
1
#s(literal 1 binary64)
(+ 1 i)
(+.f64 i #s(literal 1 binary64))
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 i (fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
(fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
(exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))
(fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) (fma.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (fma.f64 #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)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
(fma.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (/.f64 (fma.f64 #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)))) (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))))
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
(exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) i) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))
(-.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (neg.f64 (*.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 n n (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 n (*.f64 n n)))) i)))) i))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))
(-.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (neg.f64 (fma.f64 (*.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 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64))))) i))) i))) i))
1
#s(literal 1 binary64)
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) #s(literal 1 binary64))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(fma.f64 n (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i)) (-.f64 (log.f64 i) (log.f64 n))) #s(literal 1 binary64))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
(fma.f64 n (fma.f64 n (fma.f64 n (+.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 #s(literal -1/2 binary64) (*.f64 i i))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i))) (-.f64 (log.f64 i) (log.f64 n))) #s(literal 1 binary64))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (exp.f64 i))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))
(fma.f64 (exp.f64 i) (/.f64 (fma.f64 #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)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) 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 (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 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (*.f64 n (*.f64 n n)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (exp.f64 i)))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (exp.f64 i))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(-.f64 (exp.f64 i) (/.f64 (fma.f64 (neg.f64 (exp.f64 i)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)) (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)))) n) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (exp.f64 i))) n))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(-.f64 (exp.f64 i) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (exp.f64 i)) (/.f64 (fma.f64 (exp.f64 i) (fma.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)) (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)))) (*.f64 (neg.f64 (exp.f64 i)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64)))) n))) n)) n))
1
#s(literal 1 binary64)
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(/ i n)
(/.f64 i n)
(* i (+ (/ 1 i) (/ 1 n)))
(fma.f64 i (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(* i (+ (/ 1 i) (/ 1 n)))
(fma.f64 i (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(* i (+ (/ 1 i) (/ 1 n)))
(fma.f64 i (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(/ i n)
(/.f64 i n)
(* i (+ (/ 1 i) (/ 1 n)))
(fma.f64 i (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(* i (+ (/ 1 i) (/ 1 n)))
(fma.f64 i (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(* i (+ (/ 1 i) (/ 1 n)))
(fma.f64 i (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(/ i n)
(/.f64 i n)
(/ (+ i n) n)
(/.f64 (+.f64 n i) n)
(/ (+ i n) n)
(/.f64 (+.f64 n i) n)
(/ (+ i n) n)
(/.f64 (+.f64 n i) n)
1
#s(literal 1 binary64)
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
1
#s(literal 1 binary64)
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))

eval202.0ms (1.3%)

Memory
14.7MiB live, 383.1MiB allocated
Compiler

Compiled 52 111 to 4 293 computations (91.8% saved)

prune479.0ms (3.2%)

Memory
-94.0MiB live, 458.4MiB allocated
Pruning

54 alts after pruning (52 fresh and 2 done)

PrunedKeptTotal
New1 493381 531
Fresh111425
Picked325
Done000
Total1 507541 561
Accuracy
99.9%
Counts
1 561 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.4%
(fma.f64 (/.f64 (fma.f64 n i n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
17.1%
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 i n)) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
11.0%
(fma.f64 (/.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)) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
23.1%
(fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 i n) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
17.5%
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (/.f64 (*.f64 n #s(literal -100 binary64)) i))
8.0%
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
18.0%
(fma.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n)))
18.1%
(fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) (/.f64 #s(literal 1 binary64) i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
18.2%
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
51.4%
(fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (*.f64 n i) (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))))))) (*.f64 n #s(literal 100 binary64)))
9.7%
(/.f64 (fma.f64 (*.f64 n (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64))) i (*.f64 i (*.f64 #s(literal 100 binary64) (neg.f64 n)))) (*.f64 i i))
50.1%
(/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)
10.0%
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i (*.f64 i (*.f64 n (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64))))) (*.f64 i i))
36.7%
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
22.7%
(/.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)
70.6%
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
11.0%
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)
▶13.3%
(/.f64 #s(literal 0 binary64) i)
▶22.3%
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
54.6%
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
8.4%
(*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))
22.7%
(*.f64 (/.f64 #s(literal 100 binary64) i) (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n))
11.0%
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)))
49.4%
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (fma.f64 i (*.f64 i (fma.f64 i (+.f64 #s(literal 1/6 binary64) (+.f64 (fma.f64 i (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) i)))
50.8%
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (fma.f64 i (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) i)))
29.2%
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 (pow.f64 (/.f64 i n) n) #s(literal -1 binary64))))
66.2%
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
50.1%
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n i))
57.5%
(*.f64 (*.f64 n #s(literal 100 binary64)) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
70.3%
(*.f64 n (fma.f64 (/.f64 (*.f64 i (exp.f64 i)) n) #s(literal -50 binary64) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))))
57.3%
(*.f64 n (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n))) #s(literal 100 binary64)))
✓51.3%
(*.f64 n #s(literal 100 binary64))
18.0%
(*.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)))
▶18.0%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (neg.f64 n) i)))
18.3%
(*.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)))
57.5%
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
51.4%
(*.f64 #s(literal 100 binary64) (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))
9.7%
(*.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)))
35.8%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
36.8%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))
▶41.8%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i) (/.f64 i n)))
33.6%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n))) #s(literal -1 binary64)) i) (fma.f64 i (+.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) #s(literal -1 binary64))) (/.f64 i n)))
3.9%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))) (*.f64 n n)) (/.f64 i n)))
12.0%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
22.7%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) n) i))
8.4%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n))
11.3%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
▶70.8%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
17.1%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n)))))))) (/.f64 i n)))
✓76.3%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
60.0%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
37.2%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 n i) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 i i) i)) #s(literal -1 binary64))))
54.6%
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n) (*.f64 i (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 n)) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 n)))
54.4%
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (/.f64 (*.f64 i (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64))) n) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 n)))
Compiler

Compiled 2 302 to 1 407 computations (38.9% saved)

simplify254.0ms (1.7%)

Memory
-17.0MiB live, 179.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
✓cost-diff0
(/.f64 #s(literal 1 binary64) i)
✓cost-diff128
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (neg.f64 n) i)))
✓cost-diff1024
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (neg.f64 n) i))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 i n))
✓cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓cost-diff0
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64))
✓cost-diff0
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
✓cost-diff0
(*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓cost-diff0
(fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i)
✓cost-diff0
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i) (/.f64 i n)))
✓cost-diff1408
(/.f64 (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i) (/.f64 i n))
✓cost-diff704
(/.f64 #s(literal 0 binary64) 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))
Rules
5 448×lower-*.f32
5 434×lower-*.f64
5 248×lower-fma.f32
5 240×lower-fma.f64
1 896×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032203
061196
1114194
2242194
3542186
41119186
52324186
64998186
76587186
08365184
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.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
(/.f64 #s(literal 0 binary64) i)
#s(literal 0 binary64)
i
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i) (/.f64 i n)))
#s(literal 100 binary64)
(/.f64 (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i) (/.f64 i n))
(fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i)
i
(*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(/.f64 i n)
n
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
#s(literal 1 binary64)
(/.f64 i n)
i
n
#s(literal 100 binary64)
#s(literal -100 binary64)
(/.f64 n i)
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (neg.f64 n) i)))
#s(literal 100 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (neg.f64 n) i))
(/.f64 #s(literal 1 binary64) i)
#s(literal 1 binary64)
i
(*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
n
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(/.f64 i n)
(/.f64 (neg.f64 n) i)
(neg.f64 n)
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.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
(/.f64 #s(literal 0 binary64) i)
#s(literal 0 binary64)
#s(literal 0 binary64)
i
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
#s(literal 100 binary64)
(/.f64 (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i) (/.f64 i n))
(fma.f64 n (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n)
(fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i)
i
(*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(/.f64 i n)
n
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(*.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 binary64)) (/.f64 n i))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64))
(fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+.f64 (/.f64 i n) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 i n)
i
n
#s(literal 100 binary64)
#s(literal -100 binary64)
(/.f64 n i)
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (neg.f64 n) i)))
(*.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 binary64)) (/.f64 n i))
#s(literal 100 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (neg.f64 n) i))
(/.f64 (fma.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 n)) i)
(/.f64 #s(literal 1 binary64) i)
#s(literal 1 binary64)
i
(*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
n
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+.f64 (/.f64 i n) #s(literal 1 binary64))
(/.f64 i n)
(/.f64 (neg.f64 n) i)
(/.f64 n (neg.f64 i))
(neg.f64 n)

localize330.0ms (2.2%)

Memory
-0.7MiB live, 156.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (/.f64 i n) #s(literal 1 binary64))
✓accuracy99.8%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (neg.f64 n) i)))
✓accuracy80.2%
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
✓accuracy39.1%
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (neg.f64 n) i))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 i n))
✓accuracy83.8%
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
✓accuracy80.2%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓accuracy35.6%
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64))
✓accuracy99.9%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i) (/.f64 i n)))
✓accuracy99.9%
(*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓accuracy99.8%
(fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓accuracy77.1%
(/.f64 (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i) (/.f64 i n))
✓accuracy100.0%
(/.f64 #s(literal 0 binary64) 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))
✓accuracy89.4%
(/.f64 (*.f64 n (expm1.f64 i)) i)
Samples
108.0ms142×1valid
106.0ms69×2valid
12.0ms42×0valid
9.0ms3×5exit
Compiler

Compiled 225 to 38 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 167.0ms
ival-pow: 81.0ms (48.6% of total)
ival-mult: 26.0ms (15.6% of total)
ival-div: 19.0ms (11.4% of total)
adjust: 16.0ms (9.6% of total)
ival-add: 15.0ms (9% of total)
const: 5.0ms (3% of total)
ival-expm1: 2.0ms (1.2% of total)
exact: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series76.0ms (0.5%)

Memory
-21.8MiB live, 43.0MiB allocated
Counts
20 → 408
Calls
Call 1
Inputs
#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (patch (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 n (expm1.f64 i)) i) (patch (/.f64 (*.f64 n (expm1.f64 i)) i) #<representation binary64>) () ())
#s(alt (*.f64 n (expm1.f64 i)) (patch (*.f64 n (expm1.f64 i)) #<representation binary64>) () ())
#s(alt (expm1.f64 i) (patch (expm1.f64 i) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 0 binary64) i) (patch (/.f64 #s(literal 0 binary64) i) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i) (/.f64 i n)) (patch (/.f64 (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i) (/.f64 i n)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i) (/.f64 i n))) (patch (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i) (/.f64 i n))) #<representation binary64>) () ())
#s(alt (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i) (patch (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i) #<representation binary64>) () ())
#s(alt (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (patch (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) (patch (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (patch (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 i n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 i n)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (neg.f64 n) i)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (neg.f64 n) i)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (neg.f64 n) i))) (patch (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (neg.f64 n) i))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) i) (patch (/.f64 #s(literal 1 binary64) i) #<representation binary64>) () ())
#s(alt (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (patch (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #<representation binary64>) () ())
#s(alt (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (patch (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 i n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 i n) #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor 0 n) (#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (patch (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor 0 n) (#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (patch (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor 0 n) (#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (patch (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor 0 n) (#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (patch (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor inf n) (#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (patch (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor inf n) (#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (patch (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor inf n) (#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (patch (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor inf n) (#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (patch (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor -inf n) (#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (patch (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor -inf n) (#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (patch (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor -inf n) (#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (patch (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor -inf n) (#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (patch (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) #<representation binary64>) () ())) ())
#s(alt (* 100 n) (taylor 0 i) (#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (patch (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) #<representation binary64>) () ())) ())
#s(alt (+ (* 50 (* i n)) (* 100 n)) (taylor 0 i) (#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (patch (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) #<representation binary64>) () ())) ())
#s(alt (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n)))) (taylor 0 i) (#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (patch (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) #<representation binary64>) () ())) ())
#s(alt (+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n)))))) (taylor 0 i) (#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (patch (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor inf i) (#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (patch (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor inf i) (#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (patch (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor inf i) (#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (patch (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor inf i) (#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (patch (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor -inf i) (#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (patch (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor -inf i) (#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (patch (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor -inf i) (#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (patch (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor -inf i) (#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (patch (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp i) 1)) i) (taylor 0 n) (#s(alt (/.f64 (*.f64 n (expm1.f64 i)) i) (patch (/.f64 (*.f64 n (expm1.f64 i)) i) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp i) 1)) i) (taylor 0 n) (#s(alt (/.f64 (*.f64 n (expm1.f64 i)) i) (patch (/.f64 (*.f64 n (expm1.f64 i)) i) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp i) 1)) i) (taylor 0 n) (#s(alt (/.f64 (*.f64 n (expm1.f64 i)) i) (patch (/.f64 (*.f64 n (expm1.f64 i)) i) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp i) 1)) i) (taylor 0 n) (#s(alt (/.f64 (*.f64 n (expm1.f64 i)) i) (patch (/.f64 (*.f64 n (expm1.f64 i)) i) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp i) 1)) i) (taylor inf n) (#s(alt (/.f64 (*.f64 n (expm1.f64 i)) i) (patch (/.f64 (*.f64 n (expm1.f64 i)) i) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp i) 1)) i) (taylor inf n) (#s(alt (/.f64 (*.f64 n (expm1.f64 i)) i) (patch (/.f64 (*.f64 n (expm1.f64 i)) i) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp i) 1)) i) (taylor inf n) (#s(alt (/.f64 (*.f64 n (expm1.f64 i)) i) (patch (/.f64 (*.f64 n (expm1.f64 i)) i) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp i) 1)) i) (taylor inf n) (#s(alt (/.f64 (*.f64 n (expm1.f64 i)) i) (patch (/.f64 (*.f64 n (expm1.f64 i)) i) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp i) 1)) i) (taylor -inf n) (#s(alt (/.f64 (*.f64 n (expm1.f64 i)) i) (patch (/.f64 (*.f64 n (expm1.f64 i)) i) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp i) 1)) i) (taylor -inf n) (#s(alt (/.f64 (*.f64 n (expm1.f64 i)) i) (patch (/.f64 (*.f64 n (expm1.f64 i)) i) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp i) 1)) i) (taylor -inf n) (#s(alt (/.f64 (*.f64 n (expm1.f64 i)) i) (patch (/.f64 (*.f64 n (expm1.f64 i)) i) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp i) 1)) i) (taylor -inf n) (#s(alt (/.f64 (*.f64 n (expm1.f64 i)) i) (patch (/.f64 (*.f64 n (expm1.f64 i)) i) #<representation binary64>) () ())) ())
#s(alt n (taylor 0 i) (#s(alt (/.f64 (*.f64 n (expm1.f64 i)) i) (patch (/.f64 (*.f64 n (expm1.f64 i)) i) #<representation binary64>) () ())) ())
#s(alt (+ n (* 1/2 (* i n))) (taylor 0 i) (#s(alt (/.f64 (*.f64 n (expm1.f64 i)) i) (patch (/.f64 (*.f64 n (expm1.f64 i)) i) #<representation binary64>) () ())) ())
#s(alt (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n)))) (taylor 0 i) (#s(alt (/.f64 (*.f64 n (expm1.f64 i)) i) (patch (/.f64 (*.f64 n (expm1.f64 i)) i) #<representation binary64>) () ())) ())
#s(alt (+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n)))))) (taylor 0 i) (#s(alt (/.f64 (*.f64 n (expm1.f64 i)) i) (patch (/.f64 (*.f64 n (expm1.f64 i)) i) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp i) 1)) i) (taylor inf i) (#s(alt (/.f64 (*.f64 n (expm1.f64 i)) i) (patch (/.f64 (*.f64 n (expm1.f64 i)) i) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp i) 1)) i) (taylor inf i) (#s(alt (/.f64 (*.f64 n (expm1.f64 i)) i) (patch (/.f64 (*.f64 n (expm1.f64 i)) i) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp i) 1)) i) (taylor inf i) (#s(alt (/.f64 (*.f64 n (expm1.f64 i)) i) (patch (/.f64 (*.f64 n (expm1.f64 i)) i) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp i) 1)) i) (taylor inf i) (#s(alt (/.f64 (*.f64 n (expm1.f64 i)) i) (patch (/.f64 (*.f64 n (expm1.f64 i)) i) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp i) 1)) i) (taylor -inf i) (#s(alt (/.f64 (*.f64 n (expm1.f64 i)) i) (patch (/.f64 (*.f64 n (expm1.f64 i)) i) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp i) 1)) i) (taylor -inf i) (#s(alt (/.f64 (*.f64 n (expm1.f64 i)) i) (patch (/.f64 (*.f64 n (expm1.f64 i)) i) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp i) 1)) i) (taylor -inf i) (#s(alt (/.f64 (*.f64 n (expm1.f64 i)) i) (patch (/.f64 (*.f64 n (expm1.f64 i)) i) #<representation binary64>) () ())) ())
#s(alt (/ (* n (- (exp i) 1)) i) (taylor -inf i) (#s(alt (/.f64 (*.f64 n (expm1.f64 i)) i) (patch (/.f64 (*.f64 n (expm1.f64 i)) i) #<representation binary64>) () ())) ())
#s(alt (* n (- (exp i) 1)) (taylor 0 n) (#s(alt (*.f64 n (expm1.f64 i)) (patch (*.f64 n (expm1.f64 i)) #<representation binary64>) () ())) ())
#s(alt (* n (- (exp i) 1)) (taylor 0 n) (#s(alt (*.f64 n (expm1.f64 i)) (patch (*.f64 n (expm1.f64 i)) #<representation binary64>) () ())) ())
#s(alt (* n (- (exp i) 1)) (taylor 0 n) (#s(alt (*.f64 n (expm1.f64 i)) (patch (*.f64 n (expm1.f64 i)) #<representation binary64>) () ())) ())
#s(alt (* n (- (exp i) 1)) (taylor 0 n) (#s(alt (*.f64 n (expm1.f64 i)) (patch (*.f64 n (expm1.f64 i)) #<representation binary64>) () ())) ())
#s(alt (* n (- (exp i) 1)) (taylor inf n) (#s(alt (*.f64 n (expm1.f64 i)) (patch (*.f64 n (expm1.f64 i)) #<representation binary64>) () ())) ())
#s(alt (* n (- (exp i) 1)) (taylor inf n) (#s(alt (*.f64 n (expm1.f64 i)) (patch (*.f64 n (expm1.f64 i)) #<representation binary64>) () ())) ())
#s(alt (* n (- (exp i) 1)) (taylor inf n) (#s(alt (*.f64 n (expm1.f64 i)) (patch (*.f64 n (expm1.f64 i)) #<representation binary64>) () ())) ())
#s(alt (* n (- (exp i) 1)) (taylor inf n) (#s(alt (*.f64 n (expm1.f64 i)) (patch (*.f64 n (expm1.f64 i)) #<representation binary64>) () ())) ())
#s(alt (* n (- (exp i) 1)) (taylor -inf n) (#s(alt (*.f64 n (expm1.f64 i)) (patch (*.f64 n (expm1.f64 i)) #<representation binary64>) () ())) ())
#s(alt (* n (- (exp i) 1)) (taylor -inf n) (#s(alt (*.f64 n (expm1.f64 i)) (patch (*.f64 n (expm1.f64 i)) #<representation binary64>) () ())) ())
#s(alt (* n (- (exp i) 1)) (taylor -inf n) (#s(alt (*.f64 n (expm1.f64 i)) (patch (*.f64 n (expm1.f64 i)) #<representation binary64>) () ())) ())
#s(alt (* n (- (exp i) 1)) (taylor -inf n) (#s(alt (*.f64 n (expm1.f64 i)) (patch (*.f64 n (expm1.f64 i)) #<representation binary64>) () ())) ())
#s(alt (* i n) (taylor 0 i) (#s(alt (*.f64 n (expm1.f64 i)) (patch (*.f64 n (expm1.f64 i)) #<representation binary64>) () ())) ())
#s(alt (* i (+ n (* 1/2 (* i n)))) (taylor 0 i) (#s(alt (*.f64 n (expm1.f64 i)) (patch (*.f64 n (expm1.f64 i)) #<representation binary64>) () ())) ())
#s(alt (* i (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))) (taylor 0 i) (#s(alt (*.f64 n (expm1.f64 i)) (patch (*.f64 n (expm1.f64 i)) #<representation binary64>) () ())) ())
#s(alt (* i (+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n))))))) (taylor 0 i) (#s(alt (*.f64 n (expm1.f64 i)) (patch (*.f64 n (expm1.f64 i)) #<representation binary64>) () ())) ())
#s(alt (* n (- (exp i) 1)) (taylor inf i) (#s(alt (*.f64 n (expm1.f64 i)) (patch (*.f64 n (expm1.f64 i)) #<representation binary64>) () ())) ())
#s(alt (* n (- (exp i) 1)) (taylor inf i) (#s(alt (*.f64 n (expm1.f64 i)) (patch (*.f64 n (expm1.f64 i)) #<representation binary64>) () ())) ())
#s(alt (* n (- (exp i) 1)) (taylor inf i) (#s(alt (*.f64 n (expm1.f64 i)) (patch (*.f64 n (expm1.f64 i)) #<representation binary64>) () ())) ())
#s(alt (* n (- (exp i) 1)) (taylor inf i) (#s(alt (*.f64 n (expm1.f64 i)) (patch (*.f64 n (expm1.f64 i)) #<representation binary64>) () ())) ())
#s(alt (* n (- (exp i) 1)) (taylor -inf i) (#s(alt (*.f64 n (expm1.f64 i)) (patch (*.f64 n (expm1.f64 i)) #<representation binary64>) () ())) ())
#s(alt (* n (- (exp i) 1)) (taylor -inf i) (#s(alt (*.f64 n (expm1.f64 i)) (patch (*.f64 n (expm1.f64 i)) #<representation binary64>) () ())) ())
#s(alt (* n (- (exp i) 1)) (taylor -inf i) (#s(alt (*.f64 n (expm1.f64 i)) (patch (*.f64 n (expm1.f64 i)) #<representation binary64>) () ())) ())
#s(alt (* n (- (exp i) 1)) (taylor -inf i) (#s(alt (*.f64 n (expm1.f64 i)) (patch (*.f64 n (expm1.f64 i)) #<representation binary64>) () ())) ())
#s(alt i (taylor 0 i) (#s(alt (expm1.f64 i) (patch (expm1.f64 i) #<representation binary64>) () ())) ())
#s(alt (* i (+ 1 (* 1/2 i))) (taylor 0 i) (#s(alt (expm1.f64 i) (patch (expm1.f64 i) #<representation binary64>) () ())) ())
#s(alt (* i (+ 1 (* i (+ 1/2 (* 1/6 i))))) (taylor 0 i) (#s(alt (expm1.f64 i) (patch (expm1.f64 i) #<representation binary64>) () ())) ())
#s(alt (* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))) (taylor 0 i) (#s(alt (expm1.f64 i) (patch (expm1.f64 i) #<representation binary64>) () ())) ())
#s(alt (- (exp i) 1) (taylor inf i) (#s(alt (expm1.f64 i) (patch (expm1.f64 i) #<representation binary64>) () ())) ())
#s(alt (- (exp i) 1) (taylor inf i) (#s(alt (expm1.f64 i) (patch (expm1.f64 i) #<representation binary64>) () ())) ())
#s(alt (- (exp i) 1) (taylor inf i) (#s(alt (expm1.f64 i) (patch (expm1.f64 i) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))) (taylor 0 n) (#s(alt (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (patch (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 n) (#s(alt (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (patch (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #<representation binary64>) () ())) ())
#s(alt (exp i) (taylor inf n) (#s(alt (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (patch (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #<representation binary64>) () ())) ())
#s(alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) (taylor inf n) (#s(alt (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (patch (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf n) (#s(alt (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (patch (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf n) (#s(alt (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (patch (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #<representation binary64>) () ())) ())
#s(alt (exp i) (taylor -inf n) (#s(alt (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (patch (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #<representation binary64>) () ())) ())
#s(alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) (taylor -inf n) (#s(alt (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (patch (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf n) (#s(alt (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (patch (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf n) (#s(alt (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (patch (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 i) (#s(alt (+.f64 (/.f64 i n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 i n) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ i n)) (taylor 0 i) (#s(alt (+.f64 (/.f64 i n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 i n) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ i n)) (taylor 0 i) (#s(alt (+.f64 (/.f64 i n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 i n) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ i n)) (taylor 0 i) (#s(alt (+.f64 (/.f64 i n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 i n) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ i n) (taylor inf i) (#s(alt (+.f64 (/.f64 i n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 i n) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* i (+ (/ 1 i) (/ 1 n))) (taylor inf i) (#s(alt (+.f64 (/.f64 i n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 i n) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* i (+ (/ 1 i) (/ 1 n))) (taylor inf i) (#s(alt (+.f64 (/.f64 i n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 i n) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* i (+ (/ 1 i) (/ 1 n))) (taylor inf i) (#s(alt (+.f64 (/.f64 i n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 i n) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ i n) (taylor -inf i) (#s(alt (+.f64 (/.f64 i n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 i n) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* i (+ (/ 1 i) (/ 1 n))) (taylor -inf i) (#s(alt (+.f64 (/.f64 i n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 i n) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* i (+ (/ 1 i) (/ 1 n))) (taylor -inf i) (#s(alt (+.f64 (/.f64 i n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 i n) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* i (+ (/ 1 i) (/ 1 n))) (taylor -inf i) (#s(alt (+.f64 (/.f64 i n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 i n) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ i n) (taylor 0 n) (#s(alt (+.f64 (/.f64 i n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 i n) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ i n) n) (taylor 0 n) (#s(alt (+.f64 (/.f64 i n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 i n) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ i n) n) (taylor 0 n) (#s(alt (+.f64 (/.f64 i n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 i n) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ i n) n) (taylor 0 n) (#s(alt (+.f64 (/.f64 i n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 i n) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf n) (#s(alt (+.f64 (/.f64 i n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 i n) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ i n)) (taylor inf n) (#s(alt (+.f64 (/.f64 i n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 i n) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ i n)) (taylor inf n) (#s(alt (+.f64 (/.f64 i n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 i n) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ i n)) (taylor inf n) (#s(alt (+.f64 (/.f64 i n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 i n) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf n) (#s(alt (+.f64 (/.f64 i n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 i n) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ i n)) (taylor -inf n) (#s(alt (+.f64 (/.f64 i n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 i n) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ i n)) (taylor -inf n) (#s(alt (+.f64 (/.f64 i n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 i n) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ i n)) (taylor -inf n) (#s(alt (+.f64 (/.f64 i n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 i n) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

102 calls:

TimeVariablePointExpression
6.0ms
n
@0
(* 100 (/ (* n (- (exp i) 1)) i))
1.0ms
n
@0
(/ (+ (* i (* i (+ (* i 1/6) 1/2))) i) (/ i n))
1.0ms
n
@0
(* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (/ n i))
1.0ms
i
@-inf
(* (+ (* (pow (+ 1 (/ i n)) n) 100) -100) (/ n i))
1.0ms
i
@inf
(* 100 (/ (* n (- (exp i) 1)) i))

rewrite373.0ms (2.5%)

Memory
7.4MiB live, 277.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 652×lower-*.f32
4 638×lower-*.f64
4 616×lower-/.f32
4 604×lower-/.f64
3 264×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032166
061164
1242160
21808156
08267156
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 753
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 n (expm1.f64 i))
(expm1.f64 i)
(/.f64 #s(literal 0 binary64) i)
(/.f64 (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i) (/.f64 i n)))
(fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i)
(*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (neg.f64 n) i))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (neg.f64 n) i)))
(/.f64 #s(literal 1 binary64) i)
(*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n))
(fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+.f64 (/.f64 i n) #s(literal 1 binary64))
Outputs
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 n (expm1.f64 i))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i)))))
(/.f64 #s(literal -100 binary64) (neg.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))))))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i)))) (neg.f64 i))
(/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 (*.f64 n (expm1.f64 i)))) (neg.f64 i))
(/.f64 (*.f64 (neg.f64 (*.f64 n (expm1.f64 i))) #s(literal 100 binary64)) (neg.f64 i))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (neg.f64 (*.f64 n (expm1.f64 i))))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 n (expm1.f64 i))) #s(literal 100 binary64))) (neg.f64 (neg.f64 i)))
(pow.f64 (/.f64 i (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i)))) #s(literal -1 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
(*.f64 (*.f64 n (expm1.f64 i)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) #s(literal 100 binary64))
(*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) (/.f64 #s(literal 1 binary64) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(exp.f64 (*.f64 (log.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 n (expm1.f64 i)) (neg.f64 i)))
(neg.f64 (/.f64 (neg.f64 (*.f64 n (expm1.f64 i))) i))
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 n (expm1.f64 i))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 n (expm1.f64 i))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 i (*.f64 n (expm1.f64 i))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 i (*.f64 n (expm1.f64 i))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 n (expm1.f64 i))) (neg.f64 i))
(/.f64 (neg.f64 (neg.f64 (*.f64 n (expm1.f64 i)))) (neg.f64 (neg.f64 i)))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 1 binary64)) i)
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal -1 binary64)) (neg.f64 i))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 n (expm1.f64 i))))) (neg.f64 (neg.f64 (neg.f64 i))))
(/.f64 (neg.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 1 binary64))) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal -1 binary64))) (neg.f64 (neg.f64 i)))
(pow.f64 (/.f64 i (*.f64 n (expm1.f64 i))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 i (*.f64 n (expm1.f64 i))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 (*.f64 n (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (expm1.f64 i)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (expm1.f64 i))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 n (expm1.f64 i))) (/.f64 #s(literal -1 binary64) i))
(*.f64 (/.f64 (expm1.f64 i) i) n)
(*.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) i))
(+.f64 (*.f64 n (exp.f64 i)) (neg.f64 n))
(+.f64 (*.f64 (exp.f64 i) n) (neg.f64 n))
(fma.f64 n (exp.f64 i) (neg.f64 n))
(fma.f64 (exp.f64 i) n (neg.f64 n))
(/.f64 (*.f64 n (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (*.f64 n (expm1.f64 (+.f64 i i))) (+.f64 #s(literal 1 binary64) (exp.f64 i)))
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) n) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (*.f64 (expm1.f64 (+.f64 i i)) n) (+.f64 #s(literal 1 binary64) (exp.f64 i)))
(/.f64 (neg.f64 (*.f64 n (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 n (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))) n)) (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)) n)) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(*.f64 n (expm1.f64 i))
(*.f64 (expm1.f64 i) n)
(+.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))
(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))))
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(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 (/.f64 i n) #s(literal 1 binary64)))) (*.f64 n #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)) (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (neg.f64 n)))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64))))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 (*.f64 n #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 (/.f64 i n) #s(literal 1 binary64))) (*.f64 n #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (+.f64 n n)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64)) n)
(pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 n))
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))
(*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64))) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) (*.f64 n #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 #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 (*.f64 i i)) (*.f64 n (*.f64 n n)))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))) n))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i 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 (/.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) (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 (*.f64 i i)) (*.f64 n (*.f64 n n)))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i 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 (/.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) (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 (*.f64 i i)) (*.f64 n (*.f64 n n)))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i 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 (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 (/.f64 i n) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(exp.f64 (log1p.f64 (/.f64 i n)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (/.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n))))
(-.f64 (/.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (+.f64 (/.f64 i n) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 i n) #s(literal -1 binary64))))
(fma.f64 i (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(fma.f64 i (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 i n) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 i n) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 i) n) #s(literal 1 binary64))
(fma.f64 (neg.f64 i) (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) n) i #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (/.f64 #s(literal -1 binary64) i) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64))
(fma.f64 (pow.f64 (*.f64 n #s(literal 1 binary64)) #s(literal -1 binary64)) i #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 i n) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 i n) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) (-.f64 #s(literal 1 binary64) (/.f64 i n)))
(/.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)) (+.f64 (/.f64 i n) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n))))) (neg.f64 (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n))))) (neg.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 i n) #s(literal -1 binary64))))
(/.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n))))) (exp.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 (/.f64 i n) i) i) n))))
(/.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n))))) (exp.f64 (log.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n))))))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (/.f64 (*.f64 i i) (*.f64 n n))))) (exp.f64 (log1p.f64 (/.f64 (neg.f64 i) n))))
(/.f64 (exp.f64 (log.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)))) (exp.f64 (log.f64 (+.f64 (/.f64 i n) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) (/.f64 (*.f64 i i) (*.f64 n n)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (/.f64 i n))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (+.f64 (/.f64 i n) #s(literal -1 binary64))) (*.f64 (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 i n) #s(literal -1 binary64)) (+.f64 (/.f64 i n) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 i n) #s(literal -1 binary64)))))
(pow.f64 (/.f64 (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 i n) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (+.f64 (/.f64 i n) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 i n)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))))
(*.f64 (+.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 i n) #s(literal -1 binary64))))

simplify455.0ms (3%)

Memory
23.6MiB live, 693.6MiB allocated
Algorithm
1×egg-herbie
Rules
12 470×lower-fma.f64
12 470×lower-fma.f32
7 354×lower-*.f64
7 354×lower-*.f32
5 890×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08538506
127997808
085377146
Stop Event
1×iter limit
1×node limit
Counts
408 → 402
Calls
Call 1
Inputs
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 n)
(+ (* 50 (* i n)) (* 100 n))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
n
(+ n (* 1/2 (* i n)))
(+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))
(+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n))))))
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* i n)
(* i (+ n (* 1/2 (* i n))))
(* i (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n)))))
(* i (+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n)))))))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
i
(* i (+ 1 (* 1/2 i)))
(* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
0
0
0
0
0
0
0
0
0
0
0
0
n
(+ n (* 1/2 (* i n)))
(+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))
(+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))
(* 1/6 (* (pow i 2) n))
(* (pow i 2) (+ (* 1/6 n) (* 1/2 (/ n i))))
(* (pow i 2) (+ (* 1/6 n) (+ (* 1/2 (/ n i)) (/ n (pow i 2)))))
(* (pow i 2) (+ (* 1/6 n) (+ (* 1/2 (/ n i)) (/ n (pow i 2)))))
(* 1/6 (* (pow i 2) n))
(* (pow i 2) (+ (* 1/6 n) (* 1/2 (/ n i))))
(* (pow i 2) (+ (* -1 (/ (+ (* -1 (/ n i)) (* -1/2 n)) i)) (* 1/6 n)))
(* (pow i 2) (+ (* -1 (/ (+ (* -1 (/ n i)) (* -1/2 n)) i)) (* 1/6 n)))
(/ (* n (+ i (* (pow i 2) (+ 1/2 (* 1/6 i))))) i)
(/ (* n (+ i (* (pow i 2) (+ 1/2 (* 1/6 i))))) i)
(/ (* n (+ i (* (pow i 2) (+ 1/2 (* 1/6 i))))) i)
(/ (* n (+ i (* (pow i 2) (+ 1/2 (* 1/6 i))))) i)
(/ (* n (+ i (* (pow i 2) (+ 1/2 (* 1/6 i))))) i)
(/ (* n (+ i (* (pow i 2) (+ 1/2 (* 1/6 i))))) i)
(/ (* n (+ i (* (pow i 2) (+ 1/2 (* 1/6 i))))) i)
(/ (* n (+ i (* (pow i 2) (+ 1/2 (* 1/6 i))))) i)
(/ (* n (+ i (* (pow i 2) (+ 1/2 (* 1/6 i))))) i)
(/ (* n (+ i (* (pow i 2) (+ 1/2 (* 1/6 i))))) i)
(/ (* n (+ i (* (pow i 2) (+ 1/2 (* 1/6 i))))) i)
(/ (* n (+ i (* (pow i 2) (+ 1/2 (* 1/6 i))))) i)
(* 100 n)
(+ (* 50 (* i n)) (* 100 n))
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1
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Outputs
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 i))
(fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))
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(fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 i))
(fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 i)
(*.f64 i #s(literal 1/6 binary64))
(* i (+ 1/6 (* 1/2 (/ 1 i))))
(fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* i (+ 1/6 (* 1/2 (/ 1 i))))
(fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* i (+ 1/6 (* 1/2 (/ 1 i))))
(fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 i)
(*.f64 i #s(literal 1/6 binary64))
(* i (+ 1/6 (* 1/2 (/ 1 i))))
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(* i (+ 1/6 (* 1/2 (/ 1 i))))
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1
#s(literal 1 binary64)
(+ 1 i)
(+.f64 i #s(literal 1 binary64))
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(fma.f64 i (fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
(fma.f64 i (fma.f64 i (+.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))) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
(exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))
(fma.f64 n (*.f64 n (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i)) (fma.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
(fma.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (/.f64 (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64))))) (*.f64 i (*.f64 i i)))) (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))))
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
(exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(fma.f64 n (*.f64 n (/.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) i)) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))
(-.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (neg.f64 (*.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 n n (/.f64 (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) i)))) i))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))
(-.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (neg.f64 (fma.f64 n (*.f64 n (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (fma.f64 (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (*.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 (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))
1
#s(literal 1 binary64)
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) #s(literal 1 binary64))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(fma.f64 n (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i)) (-.f64 (log.f64 i) (log.f64 n))) #s(literal 1 binary64))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
(fma.f64 n (fma.f64 n (fma.f64 n (+.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 #s(literal -1/2 binary64) (*.f64 i i))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i))) (-.f64 (log.f64 i) (log.f64 n))) #s(literal 1 binary64))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(fma.f64 (*.f64 i i) (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (exp.f64 i))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))
(fma.f64 (exp.f64 i) (/.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)))) (*.f64 n n)) (fma.f64 (*.f64 i i) (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (exp.f64 i)))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))
(fma.f64 (exp.f64 i) (+.f64 (/.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)))) (*.f64 n n)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (fma.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (*.f64 n (*.f64 n n)))) (fma.f64 (*.f64 i i) (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (exp.f64 i)))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(fma.f64 (*.f64 i i) (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (exp.f64 i))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(-.f64 (exp.f64 i) (/.f64 (fma.f64 (exp.f64 i) (*.f64 i (*.f64 i #s(literal 1/2 binary64))) (/.f64 (*.f64 (exp.f64 i) (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64))))) (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)))
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1
#s(literal 1 binary64)
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(/ i n)
(/.f64 i n)
(* i (+ (/ 1 i) (/ 1 n)))
(fma.f64 i (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(* i (+ (/ 1 i) (/ 1 n)))
(fma.f64 i (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(* i (+ (/ 1 i) (/ 1 n)))
(fma.f64 i (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(/ i n)
(/.f64 i n)
(* i (+ (/ 1 i) (/ 1 n)))
(fma.f64 i (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(* i (+ (/ 1 i) (/ 1 n)))
(fma.f64 i (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(* i (+ (/ 1 i) (/ 1 n)))
(fma.f64 i (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(/ i n)
(/.f64 i n)
(/ (+ i n) n)
(/.f64 (+.f64 n i) n)
(/ (+ i n) n)
(/.f64 (+.f64 n i) n)
(/ (+ i n) n)
(/.f64 (+.f64 n i) n)
1
#s(literal 1 binary64)
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
1
#s(literal 1 binary64)
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))

eval356.0ms (2.3%)

Memory
-11.0MiB live, 316.1MiB allocated
Compiler

Compiled 30 521 to 3 512 computations (88.5% saved)

prune213.0ms (1.4%)

Memory
7.9MiB live, 325.7MiB allocated
Pruning

61 alts after pruning (58 fresh and 3 done)

PrunedKeptTotal
New1 127281 155
Fresh173047
Picked415
Done022
Total1 148611 209
Accuracy
99.9%
Counts
1 209 → 61
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.1%
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 i n)) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
8.0%
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
17.2%
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 n i)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
17.7%
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
18.1%
(fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) (/.f64 #s(literal 1 binary64) i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
18.2%
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
51.4%
(fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (*.f64 n i) (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))))))) (*.f64 n #s(literal 100 binary64)))
58.3%
(fma.f64 #s(literal 100 binary64) n (*.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)))))
9.7%
(/.f64 (fma.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) i (*.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64)))) (*.f64 i i))
10.0%
(/.f64 (fma.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i (*.f64 i (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)))) (*.f64 i i))
50.1%
(/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)
36.7%
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
22.7%
(/.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)
▶70.6%
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
11.0%
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)
40.6%
(*.f64 (fma.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 i i) i) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
29.2%
(*.f64 (fma.f64 (pow.f64 (/.f64 i n) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
22.7%
(*.f64 (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) i) #s(literal 100 binary64))
8.4%
(*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))
53.4%
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (fma.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 i i) i) (/.f64 #s(literal 1 binary64) n)))
49.4%
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (fma.f64 i (*.f64 i (fma.f64 i (+.f64 #s(literal 1/6 binary64) (+.f64 (fma.f64 i (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) i)))
29.2%
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 (pow.f64 (/.f64 i n) n) #s(literal -1 binary64))))
66.2%
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
50.1%
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n i))
11.3%
(*.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 (log.f64 i) (log.f64 n))) (/.f64 n i))
39.5%
(*.f64 (*.f64 i (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 #s(literal 100 binary64) i) #s(literal 100 binary64))) (/.f64 n i))
11.7%
(*.f64 (*.f64 i i) (fma.f64 #s(literal 50 binary64) (/.f64 n i) (*.f64 n #s(literal 50/3 binary64))))
38.5%
(*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 n i))
57.3%
(*.f64 n (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n))) #s(literal 100 binary64)))
54.8%
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
▶75.6%
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
✓51.3%
(*.f64 n #s(literal 100 binary64))
12.7%
(*.f64 i (*.f64 n (*.f64 #s(literal 50/3 binary64) i)))
20.9%
(*.f64 i (*.f64 i (fma.f64 #s(literal 50 binary64) (/.f64 n i) (fma.f64 #s(literal 100 binary64) (/.f64 n (*.f64 i i)) (*.f64 n #s(literal 50/3 binary64))))))
18.0%
(*.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)))
9.4%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (fma.f64 n i n) (/.f64 (neg.f64 n) i)))
23.1%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (/.f64 i n) n)) (/.f64 (neg.f64 n) i)))
8.8%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal 1 binary64)) (/.f64 (neg.f64 n) i)))
18.3%
(*.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)))
57.5%
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
54.8%
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n))
51.4%
(*.f64 #s(literal 100 binary64) (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))
54.6%
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n))
9.7%
(*.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)))
▶35.8%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
10.5%
(*.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)))
36.8%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))
33.6%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n))) #s(literal -1 binary64)) i) (fma.f64 i (+.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) #s(literal -1 binary64))) (/.f64 i n)))
▶12.0%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
8.4%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n))
52.3%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (fma.f64 i (*.f64 i #s(literal 1/2 binary64)) i)) i))
11.3%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
✓70.8%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
17.1%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n)))))))) (/.f64 i n)))
✓76.3%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
53.5%
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (fma.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 i i) i) n))))
37.2%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 n i) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 i i) i)) #s(literal -1 binary64))))
22.7%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal 1 binary64) i) (+.f64 (neg.f64 n) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))))
54.6%
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n) (*.f64 i (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 n)) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 n)))
12.6%
(*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 #s(literal 1/6 binary64) (*.f64 i i))))
▶13.3%
#s(literal 0 binary64)
Compiler

Compiled 2 404 to 1 486 computations (38.2% saved)

simplify374.0ms (2.5%)

Memory
-14.5MiB live, 463.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
✓cost-diff128
(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 #s(literal -1/2 binary64) n))
✓cost-diff384
(fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))
✓cost-diff1408
(/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n))
✓cost-diff0
(expm1.f64 i)
✓cost-diff0
(*.f64 n (expm1.f64 i))
✓cost-diff0
(*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64))
✓cost-diff0
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
✓cost-diff0
(+.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
(expm1.f64 i)
✓cost-diff0
(/.f64 (expm1.f64 i) i)
✓cost-diff0
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
✓cost-diff0
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
Rules
11 782×lower-fma.f32
11 776×lower-fma.f64
4 450×lower-*.f32
4 432×lower-*.f64
3 764×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043447
078411
1163409
2434405
32167399
43762399
08292397
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
n
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
i
#s(literal 100 binary64)
#s(literal 0 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 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64))
(*.f64 n (expm1.f64 i))
n
(expm1.f64 i)
i
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
#s(literal 100 binary64)
(/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n))
(fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i)
(*.f64 i i)
i
(+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n)))
#s(literal 1/2 binary64)
(fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))
(+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n)))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))
#s(literal 1/6 binary64)
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
#s(literal 1/3 binary64)
(*.f64 n n)
n
(fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))
(+.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 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n)))
#s(literal 1/24 binary64)
(/.f64 #s(literal 11/24 binary64) (*.f64 n n))
#s(literal 11/24 binary64)
(+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))
(/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))
#s(literal -1/4 binary64)
(*.f64 n (*.f64 n n))
(/.f64 #s(literal -1/4 binary64) n)
(/.f64 #s(literal -1/2 binary64) n)
#s(literal -1/2 binary64)
(/.f64 i n)
Outputs
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
(/.f64 (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64))) i)
n
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
i
#s(literal 100 binary64)
#s(literal 0 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 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(/.f64 (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64))) i)
(*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64))
(*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64)))
(*.f64 n (expm1.f64 i))
n
(expm1.f64 i)
i
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 n (fma.f64 i (*.f64 #s(literal 100 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (fma.f64 i (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (fma.f64 (/.f64 #s(literal -1/4 binary64) n) (+.f64 (/.f64 i (*.f64 n n)) i) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))))) (/.f64 (*.f64 (+.f64 i #s(literal 1 binary64)) #s(literal -1/2 binary64)) n)))) #s(literal 100 binary64)))
#s(literal 100 binary64)
(/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n))
(*.f64 n (fma.f64 i (+.f64 #s(literal 1/2 binary64) (fma.f64 i (fma.f64 i (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (fma.f64 (/.f64 #s(literal -1/4 binary64) n) (+.f64 (/.f64 i (*.f64 n n)) i) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))))) (/.f64 (*.f64 (+.f64 i #s(literal 1 binary64)) #s(literal -1/2 binary64)) n))) #s(literal 1 binary64)))
(fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i)
(fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (fma.f64 i (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (fma.f64 (/.f64 #s(literal -1/4 binary64) n) (+.f64 (/.f64 i (*.f64 n n)) i) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))))) (/.f64 (*.f64 (+.f64 i #s(literal 1 binary64)) #s(literal -1/2 binary64)) n))) i)
(*.f64 i i)
i
(+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n)))
(+.f64 #s(literal 1/2 binary64) (fma.f64 i (fma.f64 i (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (fma.f64 (/.f64 #s(literal -1/4 binary64) n) (+.f64 (/.f64 i (*.f64 n n)) i) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))))) (/.f64 (*.f64 (+.f64 i #s(literal 1 binary64)) #s(literal -1/2 binary64)) n)))
#s(literal 1/2 binary64)
(fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))
(fma.f64 i (fma.f64 i (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (fma.f64 (/.f64 #s(literal -1/4 binary64) n) (+.f64 (/.f64 i (*.f64 n n)) i) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))))) (/.f64 (*.f64 (+.f64 i #s(literal 1 binary64)) #s(literal -1/2 binary64)) n))
(+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n)))
(+.f64 #s(literal 1/6 binary64) (+.f64 (fma.f64 i (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (fma.f64 (/.f64 #s(literal -1/4 binary64) n) (+.f64 (/.f64 i (*.f64 n n)) i) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))
#s(literal 1/6 binary64)
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
#s(literal 1/3 binary64)
(*.f64 n n)
n
(fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))
(fma.f64 i (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (fma.f64 (/.f64 #s(literal -1/4 binary64) n) (+.f64 (/.f64 i (*.f64 n n)) i) (/.f64 #s(literal -1/2 binary64) n)))
(+.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 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))))
(+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n)))
#s(literal 1/24 binary64)
(/.f64 #s(literal 11/24 binary64) (*.f64 n n))
#s(literal 11/24 binary64)
(+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))
(/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))
#s(literal -1/4 binary64)
(*.f64 n (*.f64 n n))
(/.f64 #s(literal -1/4 binary64) n)
(/.f64 #s(literal -1/2 binary64) n)
#s(literal -1/2 binary64)
(/.f64 i n)

localize205.0ms (1.4%)

Memory
1.8MiB live, 232.1MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy94.2%
(fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))
✓accuracy91.7%
(+.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)))
✓accuracy88.4%
(+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n)))
✓accuracy77.9%
(/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n))
✓accuracy100.0%
(*.f64 n (expm1.f64 i))
✓accuracy100.0%
(expm1.f64 i)
✓accuracy99.7%
(*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64))
✓accuracy89.7%
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) 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)))
✓accuracy79.9%
(/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))
✓accuracy47.9%
(-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 (expm1.f64 i) i)
✓accuracy100.0%
(expm1.f64 i)
✓accuracy99.9%
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
✓accuracy99.9%
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
Samples
46.0ms57×2valid
45.0ms82×1valid
32.0ms106×0valid
13.0ms11×5exit
Compiler

Compiled 480 to 48 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-mult: 24.0ms (23.1% of total)
ival-div: 22.0ms (21.2% of total)
adjust: 19.0ms (18.3% of total)
ival-add: 19.0ms (18.3% of total)
const: 15.0ms (14.5% of total)
ival-sub: 3.0ms (2.9% of total)
ival-expm1: 2.0ms (1.9% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series37.0ms (0.2%)

Memory
8.1MiB live, 44.1MiB allocated
Counts
17 → 336
Calls
Call 1
Inputs
#s(alt (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) (patch (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) (patch (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (expm1.f64 i) i) (patch (/.f64 (expm1.f64 i) i) #<representation binary64>) () ())
#s(alt (expm1.f64 i) (patch (expm1.f64 i) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)) (patch (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) (patch (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))) #<representation binary64>) () ())
#s(alt (+.f64 i #s(literal 1 binary64)) (patch (+.f64 i #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i) (patch (/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) (patch (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 n (expm1.f64 i)) (patch (*.f64 n (expm1.f64 i)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)) (patch (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)) #<representation binary64>) () ())
#s(alt (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n)) (patch (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n)) #<representation binary64>) () ())
#s(alt (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 #s(literal -1/2 binary64) n)) (patch (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 #s(literal -1/2 binary64) n)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n))) (patch (*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n))) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (patch (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) #<representation binary64>) () ())
#s(alt (+.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))) (patch (+.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))) #<representation binary64>) () ())
Outputs
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor 0 n) (#s(alt (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) (patch (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor 0 n) (#s(alt (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) (patch (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor 0 n) (#s(alt (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) (patch (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor 0 n) (#s(alt (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) (patch (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor inf n) (#s(alt (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) (patch (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor inf n) (#s(alt (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) (patch (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor inf n) (#s(alt (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) (patch (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ (* n (- (exp i) 1)) i)) (taylor inf n) (#s(alt (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) (patch (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) #<representation binary64>) () ())) ())
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Calls

84 calls:

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

rewrite308.0ms (2%)

Memory
7.6MiB live, 345.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 476×lower-/.f32
4 456×lower-/.f64
3 900×lower-*.f32
3 882×lower-*.f64
3 008×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042276
077258
1370252
23907252
08673236
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 508
Calls
Call 1
Inputs
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
(/.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 (*.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))
(/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n))
(fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))
(fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
(+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n)))
(+.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)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 i (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 i)) (/.f64 (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64))) (neg.f64 i)))
(neg.f64 (/.f64 (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64))) (neg.f64 i)))
(neg.f64 (/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal -100 binary64)) i))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64)))) #s(literal 1 binary64)))
(/.f64 (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64))) i)
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal -100 binary64)) (neg.f64 i))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal -100 binary64))) (neg.f64 (neg.f64 i)))
(/.f64 (*.f64 (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64))) #s(literal 1 binary64)) i)
(pow.f64 (/.f64 i (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 i (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 n (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i))
(*.f64 (expm1.f64 i) (*.f64 n (/.f64 #s(literal 100 binary64) i)))
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 100 binary64) n))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64))) i))
(*.f64 (*.f64 n (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i))
(*.f64 (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) i))
(*.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal -100 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 i)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) #s(literal 100 binary64))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (expm1.f64 i)))
(*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))
(/.f64 #s(literal 100 binary64) (/.f64 i (expm1.f64 i)))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))))
(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)
(/.f64 (neg.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64))) (neg.f64 i))
(/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 (expm1.f64 i))) (neg.f64 i))
(/.f64 (*.f64 (neg.f64 (expm1.f64 i)) #s(literal 100 binary64)) (neg.f64 i))
(pow.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))) #s(literal -1 binary64))
(*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)))
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
(*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) i))
(+.f64 (/.f64 (exp.f64 i) i) (neg.f64 (/.f64 #s(literal 1 binary64) i)))
(exp.f64 (*.f64 (log.f64 (/.f64 i (expm1.f64 i))) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 i)) (/.f64 (expm1.f64 i) (neg.f64 i)))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 i #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))) i) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))) i))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) i) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 i))) i))
(-.f64 (/.f64 (exp.f64 (*.f64 i #s(literal 3 binary64))) (*.f64 i (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))) (/.f64 #s(literal 1 binary64) (*.f64 i (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))))
(-.f64 (/.f64 (exp.f64 (+.f64 i i)) (*.f64 i (+.f64 #s(literal 1 binary64) (exp.f64 i)))) (/.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(-.f64 (/.f64 (*.f64 (exp.f64 i) i) (*.f64 i i)) (/.f64 i (*.f64 i i)))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 i #s(literal 3 binary64))) (*.f64 i (*.f64 i i))) (+.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1 binary64) i) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i i))) (+.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1 binary64) i) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1 binary64) i)) (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i))))
(fma.f64 (exp.f64 i) (/.f64 #s(literal 1 binary64) i) (neg.f64 (/.f64 #s(literal 1 binary64) i)))
(neg.f64 (/.f64 (expm1.f64 i) (neg.f64 i)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 i)) i))
(/.f64 (expm1.f64 i) i)
(/.f64 #s(literal 1 binary64) (/.f64 i (expm1.f64 i)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (expm1.f64 i)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (expm1.f64 i)) (neg.f64 i))
(/.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (*.f64 i (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (expm1.f64 i))))
(/.f64 (expm1.f64 (+.f64 i i)) (*.f64 i (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (-.f64 (*.f64 (exp.f64 i) i) i) (*.f64 i i))
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) i))
(/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i)) i))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 i))) (neg.f64 (neg.f64 i)))
(/.f64 (-.f64 (/.f64 (exp.f64 (*.f64 i #s(literal 3 binary64))) (*.f64 i (*.f64 i i))) (/.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i i)))) (+.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1 binary64) i) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 i) i) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1 binary64) i))) (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i)))
(/.f64 (*.f64 (expm1.f64 i) #s(literal 1 binary64)) i)
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) i)) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (*.f64 (expm1.f64 (+.f64 i i)) (/.f64 #s(literal 1 binary64) i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))
(/.f64 (-.f64 (neg.f64 (exp.f64 i)) #s(literal -1 binary64)) (neg.f64 i))
(pow.f64 (/.f64 i (expm1.f64 i)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 i (expm1.f64 i)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (expm1.f64 i) (/.f64 #s(literal 1 binary64) i))
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 i) i))
(*.f64 (neg.f64 (expm1.f64 i)) (/.f64 #s(literal 1 binary64) (neg.f64 i)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (expm1.f64 i))
(*.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 i)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 i (expm1.f64 (*.f64 i #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(*.f64 (pow.f64 (/.f64 i (expm1.f64 (+.f64 i i))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(+.f64 (exp.f64 i) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 i))
(-.f64 (exp.f64 i) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (*.f64 i #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(-.f64 (/.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(-.f64 (/.f64 (exp.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 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 i i)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 i) #s(literal -1 binary64))))))
(-.f64 (/.f64 (exp.f64 (+.f64 i i)) (-.f64 (exp.f64 i) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 i) #s(literal -1 binary64))))
(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 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(/.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 i i)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 i) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))
(/.f64 (expm1.f64 (+.f64 i i)) (-.f64 (exp.f64 i) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 #s(literal 1 binary64) (exp.f64 i)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 i i))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 i))))
(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 (*.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))
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 i #s(literal 1 binary64)) (*.f64 (+.f64 i #s(literal 1 binary64)) (+.f64 i #s(literal 1 binary64)))) (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 #s(literal 1 binary64) (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 (+.f64 i #s(literal 1 binary64)) (+.f64 i #s(literal 1 binary64))) (+.f64 i #s(literal 2 binary64))) (/.f64 i n)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 i #s(literal 2 binary64))) (/.f64 i n)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 i (neg.f64 n))) (/.f64 i (/.f64 i (neg.f64 n))))
(-.f64 (/.f64 (*.f64 (+.f64 i #s(literal 1 binary64)) (*.f64 (+.f64 i #s(literal 1 binary64)) (+.f64 i #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 #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 (+.f64 i #s(literal 1 binary64)) (+.f64 i #s(literal 1 binary64))) (*.f64 (/.f64 i n) (+.f64 i #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 i n) (+.f64 i #s(literal 2 binary64)))))
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(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 n (*.f64 n (*.f64 n n)))) #s(literal 1/16 binary64)) (*.f64 n n)) (fma.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) #s(literal 1/576 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n n)) #s(literal -1/4 binary64)) n) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1331/13824 binary64) (*.f64 (*.f64 n n) (*.f64 n (*.f64 n (*.f64 n n)))))))) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n n)) #s(literal -1/4 binary64)) n) (fma.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) #s(literal 1/24 binary64)) #s(literal 1/576 binary64))))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 n (*.f64 n (*.f64 n n)))) #s(literal 1/16 binary64)) (*.f64 n n)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n n)) #s(literal -1/4 binary64)) n) (-.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 121/576 binary64) (*.f64 n (*.f64 n (*.f64 n n))))))) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n n)) #s(literal -1/4 binary64)) n) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n)))))
(/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n)))) (*.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (*.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)))))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (*.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (-.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)))) (-.f64 (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/4 binary64) n)))) (neg.f64 (-.f64 (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/4 binary64) n))))
(/.f64 (+.f64 #s(literal 1/13824 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) #s(literal 3 binary64))) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)))) (*.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)))))))
(/.f64 (fma.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))))) (*.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))))) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))))) (/.f64 #s(literal -1/64 binary64) (*.f64 n (*.f64 n n)))) (fma.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))))) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))))) (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 n n)) (*.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal -1/4 binary64) n)))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))))) (-.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))))) (-.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))))) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))))) (/.f64 #s(literal 1/16 binary64) (*.f64 n n))) (-.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal -1/4 binary64) n)))
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (*.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (-.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n)))))) (fma.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n)))) (*.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (*.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/4 binary64) n)) (*.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)))) (-.f64 (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/4 binary64) n)))) #s(literal -1 binary64))
(*.f64 (fma.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n)))) (*.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (*.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (*.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (-.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))))))))
(*.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)))) (-.f64 (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/4 binary64) n))))

simplify341.0ms (2.3%)

Memory
-6.9MiB live, 311.9MiB allocated
Algorithm
1×egg-herbie
Rules
11 700×lower-fma.f64
11 700×lower-fma.f32
6 290×lower-*.f64
6 290×lower-*.f32
4 214×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05744893
118904774
266564654
082814088
Stop Event
1×iter limit
1×node limit
Counts
336 → 296
Calls
Call 1
Inputs
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 n)
(+ (* 50 (* i n)) (* 100 n))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
100
(+ 100 (* 50 i))
(+ 100 (* i (+ 50 (* 50/3 i))))
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))
(* 100 (/ (- (exp i) 1) i))
(* 100 (/ (- (exp i) 1) i))
(* 100 (/ (- (exp i) 1) i))
(* 100 (/ (- (exp i) 1) i))
(* 100 (/ (- (exp i) 1) i))
(* 100 (/ (- (exp i) 1) i))
(* 100 (/ (- (exp i) 1) i))
(* 100 (/ (- (exp i) 1) i))
1
(+ 1 (* 1/2 i))
(+ 1 (* i (+ 1/2 (* 1/6 i))))
(+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
i
(* i (+ 1 (* 1/2 i)))
(* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
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))
(* 100 (* n (- (exp i) 1)))
(* 100 (* n (- (exp i) 1)))
(* 100 (* n (- (exp i) 1)))
(* 100 (* n (- (exp i) 1)))
(* 100 (* n (- (exp i) 1)))
(* 100 (* n (- (exp i) 1)))
(* 100 (* n (- (exp i) 1)))
(* 100 (* n (- (exp i) 1)))
(* 100 (* n (- (exp i) 1)))
(* 100 (* n (- (exp i) 1)))
(* 100 (* n (- (exp i) 1)))
(* 100 (* n (- (exp i) 1)))
(* 100 (* i n))
(* i (+ (* 50 (* i n)) (* 100 n)))
(* i (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n)))))
(* i (+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n)))))))
(* 100 (* n (- (exp i) 1)))
(* 100 (* n (- (exp i) 1)))
(* 100 (* n (- (exp i) 1)))
(* 100 (* n (- (exp i) 1)))
(* 100 (* n (- (exp i) 1)))
(* 100 (* n (- (exp i) 1)))
(* 100 (* n (- (exp i) 1)))
(* 100 (* 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))
(* 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))
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)))))))
(* (pow i 3) (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))
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1/24
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Outputs
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(+.f64 #s(literal 1/6 binary64) (fma.f64 i #s(literal 1/24 binary64) (/.f64 (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) n)))
(- (+ 1/6 (+ (* -1/4 (/ i n)) (+ (* 1/24 i) (+ (* 11/24 (/ i (pow n 2))) (/ 1/3 (pow n 2)))))) (* 1/2 (/ 1 n)))
(+.f64 #s(literal 1/6 binary64) (+.f64 (fma.f64 i #s(literal 1/24 binary64) (fma.f64 i (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))) (/.f64 (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) n)))
(- (+ 1/6 (+ (* -1/4 (/ i n)) (+ (* -1/4 (/ i (pow n 3))) (+ (* 1/24 i) (+ (* 11/24 (/ i (pow n 2))) (/ 1/3 (pow n 2))))))) (* 1/2 (/ 1 n)))
(+.f64 #s(literal 1/6 binary64) (+.f64 (fma.f64 i (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (fma.f64 i #s(literal 1/24 binary64) (fma.f64 i (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))))) (/.f64 (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) n)))
(+ 1/6 (* 1/24 i))
(fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/4 i)) n)) (* 1/24 i)))
(fma.f64 i #s(literal 1/24 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 i #s(literal 1/4 binary64) #s(literal 1/2 binary64)) n)))
(+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/3 (* 11/24 i)) n)) (* 1/4 i))) n)) (* 1/24 i)))
(-.f64 (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (/.f64 (-.f64 (fma.f64 i #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)) n)) n))
(+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/3 (+ (* -1/4 (/ i n)) (* 11/24 i))) n)) (* 1/4 i))) n)) (* 1/24 i)))
(-.f64 (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (/.f64 (-.f64 (fma.f64 i #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i (/.f64 #s(literal -1/4 binary64) n) (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64))) n)) n))
(- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))
(- (+ 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)))
(+.f64 #s(literal 1/6 binary64) (fma.f64 i (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 (fma.f64 n #s(literal 11/24 binary64) #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 -1/2 binary64) n))))
(- (+ 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)))
(+.f64 #s(literal 1/6 binary64) (fma.f64 i (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 (fma.f64 n #s(literal 11/24 binary64) #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 -1/2 binary64) n))))
(- (+ 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)))
(+.f64 #s(literal 1/6 binary64) (fma.f64 i (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 (fma.f64 n #s(literal 11/24 binary64) #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 -1/2 binary64) n))))
(* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))
(*.f64 i (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 (fma.f64 n #s(literal 11/24 binary64) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))))
(* i (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (+ (/ 1/3 (* i (pow n 2))) (* 1/6 (/ 1 i))))) (+ (* 1/4 (/ 1 n)) (+ (* 1/4 (/ 1 (pow n 3))) (/ 1/2 (* i n))))))
(*.f64 i (+.f64 #s(literal 1/24 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 n n))) (/.f64 #s(literal 1/6 binary64) i)) (-.f64 (+.f64 (/.f64 (fma.f64 n #s(literal 11/24 binary64) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n i))))))
(* i (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (+ (/ 1/3 (* i (pow n 2))) (* 1/6 (/ 1 i))))) (+ (* 1/4 (/ 1 n)) (+ (* 1/4 (/ 1 (pow n 3))) (/ 1/2 (* i n))))))
(*.f64 i (+.f64 #s(literal 1/24 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 n n))) (/.f64 #s(literal 1/6 binary64) i)) (-.f64 (+.f64 (/.f64 (fma.f64 n #s(literal 11/24 binary64) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n i))))))
(* i (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (+ (/ 1/3 (* i (pow n 2))) (* 1/6 (/ 1 i))))) (+ (* 1/4 (/ 1 n)) (+ (* 1/4 (/ 1 (pow n 3))) (/ 1/2 (* i n))))))
(*.f64 i (+.f64 #s(literal 1/24 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 n n))) (/.f64 #s(literal 1/6 binary64) i)) (-.f64 (+.f64 (/.f64 (fma.f64 n #s(literal 11/24 binary64) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n i))))))
(* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))
(*.f64 i (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 (fma.f64 n #s(literal 11/24 binary64) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))))
(* -1 (* i (+ (* -1 (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (* -1 (/ (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))) i)))))
(*.f64 i (+.f64 #s(literal 1/24 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 n #s(literal 11/24 binary64) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) i))))
(* -1 (* i (+ (* -1 (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (* -1 (/ (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))) i)))))
(*.f64 i (+.f64 #s(literal 1/24 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 n #s(literal 11/24 binary64) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) i))))
(* -1 (* i (+ (* -1 (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (* -1 (/ (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))) i)))))
(*.f64 i (+.f64 #s(literal 1/24 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 n #s(literal 11/24 binary64) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) i))))
(/ -1/4 (pow n 3))
(/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))
(/ (- (* 11/24 n) 1/4) (pow n 3))
(/.f64 (fma.f64 n #s(literal 11/24 binary64) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n)))
(/ (- (* n (+ 11/24 (* -1/4 n))) 1/4) (pow n 3))
(/.f64 (fma.f64 n (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64)) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n)))
(/ (- (* n (+ 11/24 (* n (- (* 1/24 n) 1/4)))) 1/4) (pow n 3))
(/.f64 (fma.f64 n (fma.f64 n (fma.f64 n #s(literal 1/24 binary64) #s(literal -1/4 binary64)) #s(literal 11/24 binary64)) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n)))
1/24
#s(literal 1/24 binary64)
(- 1/24 (* 1/4 (/ 1 n)))
(+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))
(- (+ 1/24 (/ 11/24 (pow n 2))) (* 1/4 (/ 1 n)))
(+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)))
(- (+ 1/24 (/ 11/24 (pow n 2))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))
(+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 (fma.f64 n #s(literal 11/24 binary64) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)))
1/24
#s(literal 1/24 binary64)
(- 1/24 (* 1/4 (/ 1 n)))
(+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))
(+ 1/24 (* -1 (/ (- 1/4 (* 11/24 (/ 1 n))) n)))
(-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -11/24 binary64) n)) n))
(+ 1/24 (* -1 (/ (+ 1/4 (* -1 (/ (- 11/24 (* 1/4 (/ 1 n))) n))) n)))
(-.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 11/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) n)) n))

eval169.0ms (1.1%)

Memory
13.8MiB live, 91.4MiB allocated
Compiler

Compiled 30 672 to 3 304 computations (89.2% saved)

prune189.0ms (1.2%)

Memory
-24.0MiB live, 142.9MiB allocated
Pruning

68 alts after pruning (62 fresh and 6 done)

PrunedKeptTotal
New81624840
Fresh153853
Picked235
Done033
Total83368901
Accuracy
99.9%
Counts
901 → 68
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.1%
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 i n)) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
8.0%
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
17.2%
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 n i)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
17.7%
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
18.1%
(fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) (/.f64 #s(literal 1 binary64) i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
18.2%
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
58.3%
(fma.f64 #s(literal 100 binary64) n (*.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)))))
9.7%
(/.f64 (fma.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) i (*.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64)))) (*.f64 i i))
10.0%
(/.f64 (fma.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i (*.f64 i (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)))) (*.f64 i i))
36.7%
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
22.7%
(/.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)
✓70.6%
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
50.1%
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
53.2%
(/.f64 (*.f64 (*.f64 i (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (*.f64 n (*.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) n)) #s(literal 100 binary64)) i)
1.9%
(/.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64)) (*.f64 n n))
11.0%
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)
53.4%
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (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)) i)
39.9%
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
39.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (*.f64 i #s(literal 100 binary64))))
29.2%
(*.f64 (fma.f64 (pow.f64 (/.f64 i n) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
22.7%
(*.f64 (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) i) #s(literal 100 binary64))
8.4%
(*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))
50.0%
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 i (/.f64 #s(literal 1 binary64) n)))
29.2%
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 (pow.f64 (/.f64 i n) n) #s(literal -1 binary64))))
66.2%
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
11.3%
(*.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 (log.f64 i) (log.f64 n))) (/.f64 n i))
39.5%
(*.f64 (*.f64 i (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 #s(literal 100 binary64) i) #s(literal 100 binary64))) (/.f64 n i))
11.7%
(*.f64 (*.f64 i i) (fma.f64 #s(literal 50 binary64) (/.f64 n i) (*.f64 n #s(literal 50/3 binary64))))
38.5%
(*.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 n i))
58.8%
(*.f64 (expm1.f64 i) (*.f64 n (/.f64 #s(literal 100 binary64) i)))
58.3%
(*.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)))
57.5%
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
54.8%
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
57.3%
(*.f64 n (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n))) #s(literal 100 binary64)))
57.5%
(*.f64 n (*.f64 (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 100 binary64)))
✓75.6%
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
✓51.3%
(*.f64 n #s(literal 100 binary64))
38.2%
(*.f64 i (*.f64 (/.f64 n i) #s(literal 100 binary64)))
12.7%
(*.f64 i (*.f64 n (*.f64 #s(literal 50/3 binary64) i)))
20.9%
(*.f64 i (*.f64 i (fma.f64 #s(literal 50 binary64) (/.f64 n i) (fma.f64 #s(literal 100 binary64) (/.f64 n (*.f64 i i)) (*.f64 n #s(literal 50/3 binary64))))))
18.0%
(*.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)))
5.5%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (+.f64 i #s(literal 1 binary64)) i) n (neg.f64 (/.f64 n i))))
23.1%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (/.f64 i n) n)) (/.f64 (neg.f64 n) i)))
8.8%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal 1 binary64)) (/.f64 (neg.f64 n) i)))
18.3%
(*.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)))
54.8%
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n))
54.6%
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n))
8.5%
(*.f64 #s(literal 100 binary64) (/.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))))))
9.7%
(*.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)))
29.7%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)) (*.f64 i #s(literal -1/4 binary64))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
38.7%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (-.f64 (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (/.f64 (-.f64 (fma.f64 i #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i (/.f64 #s(literal -1/4 binary64) n) (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64))) n)) n)) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
28.5%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n)))) i) (/.f64 i n)))
10.5%
(*.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)))
36.8%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))
8.4%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n))
11.3%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
✓70.8%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
17.1%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n)))))))) (/.f64 i n)))
✓76.3%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
40.1%
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
50.1%
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 i n))))
11.2%
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 n i)) (/.f64 n i)))
22.7%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal 1 binary64) i) (+.f64 (neg.f64 n) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))))
54.6%
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n) (*.f64 i (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 n)) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 n)))
39.3%
(*.f64 #s(literal 100 binary64) (*.f64 (neg.f64 i) (/.f64 #s(literal 1 binary64) (/.f64 i (neg.f64 n)))))
12.6%
(*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 #s(literal 1/6 binary64) (*.f64 i i))))
21.6%
(*.f64 #s(literal 100 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 i (*.f64 i n))) #s(literal -1 binary64))))
✓13.3%
#s(literal 0 binary64)
Compiler

Compiled 3 245 to 1 224 computations (62.3% saved)

regimes130.0ms (0.9%)

Memory
19.7MiB live, 56.8MiB allocated
Counts
121 → 3
Calls
Call 1
Inputs
#s(literal 0 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 i (*.f64 n (*.f64 #s(literal 50/3 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)))
(*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 #s(literal 1/6 binary64) (*.f64 i i))))
(*.f64 i (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 n i))
(*.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n i))
(*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(*.f64 n (*.f64 (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 100 binary64)))
(*.f64 (*.f64 n #s(literal 100 binary64)) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64)) (*.f64 n n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 i n))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (fma.f64 i (*.f64 i #s(literal 1/2 binary64)) i)) i))
(*.f64 (*.f64 i i) (fma.f64 #s(literal 50 binary64) (/.f64 n i) (*.f64 n #s(literal 50/3 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(fma.f64 #s(literal 100 binary64) n (*.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)))))
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (*.f64 (neg.f64 i) (/.f64 #s(literal 1 binary64) (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 n i)) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (+.f64 i #s(literal 1 binary64)) i) n (neg.f64 (/.f64 n i))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 i (/.f64 #s(literal 1 binary64) n)))
(*.f64 (fma.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 i i) i) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (*.f64 i #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal 1 binary64)) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (fma.f64 n i n) (/.f64 (neg.f64 n) 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 (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n))) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i) (/.f64 i n)))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (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)) i)
(*.f64 (*.f64 i (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 #s(literal 100 binary64) i) #s(literal 100 binary64))) (/.f64 n i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (fma.f64 i (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (/.f64 (*.f64 i (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64))) n) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (fma.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 i i) i) n))))
(/.f64 (*.f64 (*.f64 i (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (*.f64 n (*.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) n)) #s(literal 100 binary64)) i)
(*.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 i (*.f64 i (fma.f64 #s(literal 50 binary64) (/.f64 n i) (fma.f64 #s(literal 100 binary64) (/.f64 n (*.f64 i i)) (*.f64 n #s(literal 50/3 binary64))))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (fma.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 i i) i) (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))) (*.f64 n n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
(*.f64 #s(literal 100 binary64) (/.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 #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) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n)))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n) (*.f64 i (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 n)) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 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 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)) (*.f64 i #s(literal -1/4 binary64))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
(fma.f64 (/.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)) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (-.f64 (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (/.f64 (-.f64 (fma.f64 i #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i (/.f64 #s(literal -1/4 binary64) n) (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64))) n)) n)) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
(*.f64 (expm1.f64 i) (*.f64 n (/.f64 #s(literal 100 binary64) i)))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
(*.f64 (fma.f64 (pow.f64 (/.f64 i n) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 (pow.f64 (/.f64 i n) n) #s(literal -1 binary64))))
(*.f64 #s(literal 100 binary64) (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))
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(/.f64 (*.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 (/.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n))
(*.f64 (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) i) #s(literal 100 binary64))
(*.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) (/.f64 #s(literal 1 binary64) i))
(fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (*.f64 n i) (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))))))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) n) i))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal 1 binary64) i) (+.f64 (neg.f64 n) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (fma.f64 i (*.f64 i (fma.f64 i (+.f64 #s(literal 1/6 binary64) (+.f64 (fma.f64 i (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)))
(*.f64 #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) (*.f64 n (pow.f64 (/.f64 i n) n)) (/.f64 (neg.f64 n) i)))
(fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 i n) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 n i)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (/.f64 (*.f64 n #s(literal -100 binary64)) 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 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (neg.f64 n) i)))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n)))
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i (*.f64 i (*.f64 n (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64))))) (*.f64 i i))
(/.f64 (fma.f64 (*.f64 n (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64))) i (*.f64 i (*.f64 #s(literal 100 binary64) (neg.f64 n)))) (*.f64 i i))
(/.f64 (fma.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i (*.f64 i (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)))) (*.f64 i i))
(/.f64 (fma.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) i (*.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64)))) (*.f64 i i))
(fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) (/.f64 #s(literal 1 binary64) i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 i n)) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i (neg.f64 n))) (/.f64 i (neg.f64 n))) (neg.f64 (*.f64 i (/.f64 i (*.f64 n n))))))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 n i) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 i i) i)) #s(literal -1 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n))) #s(literal -1 binary64)) i) (fma.f64 i (+.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) #s(literal -1 binary64))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 i (*.f64 i n))) #s(literal -1 binary64))))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
(*.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 (log.f64 i) (log.f64 n))) (/.f64 n i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(*.f64 n (fma.f64 (/.f64 (*.f64 i (exp.f64 i)) n) #s(literal -50 binary64) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n)))))))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n n) (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:

38.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
30.0ms
n
29.0ms
i
26.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
89.7%4i
92.3%3n
95.3%3(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
95.3%3(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes161.0ms (1.1%)

Memory
-27.6MiB live, 53.4MiB allocated
Counts
117 → 4
Calls
Call 1
Inputs
#s(literal 0 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 i (*.f64 n (*.f64 #s(literal 50/3 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)))
(*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 #s(literal 1/6 binary64) (*.f64 i i))))
(*.f64 i (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 n i))
(*.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n i))
(*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(*.f64 n (*.f64 (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 100 binary64)))
(*.f64 (*.f64 n #s(literal 100 binary64)) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64)) (*.f64 n n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 i n))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (fma.f64 i (*.f64 i #s(literal 1/2 binary64)) i)) i))
(*.f64 (*.f64 i i) (fma.f64 #s(literal 50 binary64) (/.f64 n i) (*.f64 n #s(literal 50/3 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(fma.f64 #s(literal 100 binary64) n (*.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)))))
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (*.f64 (neg.f64 i) (/.f64 #s(literal 1 binary64) (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 n i)) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (+.f64 i #s(literal 1 binary64)) i) n (neg.f64 (/.f64 n i))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 i (/.f64 #s(literal 1 binary64) n)))
(*.f64 (fma.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 i i) i) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (*.f64 i #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal 1 binary64)) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (fma.f64 n i n) (/.f64 (neg.f64 n) 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 (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n))) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i) (/.f64 i n)))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (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)) i)
(*.f64 (*.f64 i (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 #s(literal 100 binary64) i) #s(literal 100 binary64))) (/.f64 n i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (fma.f64 i (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (/.f64 (*.f64 i (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64))) n) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (fma.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 i i) i) n))))
(/.f64 (*.f64 (*.f64 i (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (*.f64 n (*.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) n)) #s(literal 100 binary64)) i)
(*.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 i (*.f64 i (fma.f64 #s(literal 50 binary64) (/.f64 n i) (fma.f64 #s(literal 100 binary64) (/.f64 n (*.f64 i i)) (*.f64 n #s(literal 50/3 binary64))))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (fma.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 i i) i) (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))) (*.f64 n n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
(*.f64 #s(literal 100 binary64) (/.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 #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) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n)))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n) (*.f64 i (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 n)) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 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 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)) (*.f64 i #s(literal -1/4 binary64))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
(fma.f64 (/.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)) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (-.f64 (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (/.f64 (-.f64 (fma.f64 i #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i (/.f64 #s(literal -1/4 binary64) n) (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64))) n)) n)) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
(*.f64 (expm1.f64 i) (*.f64 n (/.f64 #s(literal 100 binary64) i)))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
(*.f64 (fma.f64 (pow.f64 (/.f64 i n) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 (pow.f64 (/.f64 i n) n) #s(literal -1 binary64))))
(*.f64 #s(literal 100 binary64) (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))
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(/.f64 (*.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 (/.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n))
(*.f64 (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) i) #s(literal 100 binary64))
(*.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) (/.f64 #s(literal 1 binary64) i))
(fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (*.f64 n i) (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))))))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) n) i))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal 1 binary64) i) (+.f64 (neg.f64 n) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (fma.f64 i (*.f64 i (fma.f64 i (+.f64 #s(literal 1/6 binary64) (+.f64 (fma.f64 i (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)))
(*.f64 #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) (*.f64 n (pow.f64 (/.f64 i n) n)) (/.f64 (neg.f64 n) i)))
(fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 i n) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 n i)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (/.f64 (*.f64 n #s(literal -100 binary64)) 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 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (neg.f64 n) i)))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n)))
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i (*.f64 i (*.f64 n (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64))))) (*.f64 i i))
(/.f64 (fma.f64 (*.f64 n (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64))) i (*.f64 i (*.f64 #s(literal 100 binary64) (neg.f64 n)))) (*.f64 i i))
(/.f64 (fma.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i (*.f64 i (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)))) (*.f64 i i))
(/.f64 (fma.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) i (*.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64)))) (*.f64 i i))
(fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) (/.f64 #s(literal 1 binary64) i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 i n)) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i (neg.f64 n))) (/.f64 i (neg.f64 n))) (neg.f64 (*.f64 i (/.f64 i (*.f64 n n))))))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 n i) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 i i) i)) #s(literal -1 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n))) #s(literal -1 binary64)) i) (fma.f64 i (+.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) #s(literal -1 binary64))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 i (*.f64 i n))) #s(literal -1 binary64))))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
(*.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 (log.f64 i) (log.f64 n))) (/.f64 n i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
Outputs
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n) (*.f64 i (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 n)) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 n)))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (/.f64 i n) n)) (/.f64 (neg.f64 n) i)))
Calls

4 calls:

65.0ms
i
37.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
29.0ms
n
24.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
88.9%4i
87.5%5n
84.9%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)))
84.9%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)

regimes115.0ms (0.8%)

Memory
38.2MiB live, 153.0MiB allocated
Counts
116 → 3
Calls
Call 1
Inputs
#s(literal 0 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 i (*.f64 n (*.f64 #s(literal 50/3 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)))
(*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 #s(literal 1/6 binary64) (*.f64 i i))))
(*.f64 i (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 n i))
(*.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n i))
(*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(*.f64 n (*.f64 (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 100 binary64)))
(*.f64 (*.f64 n #s(literal 100 binary64)) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64)) (*.f64 n n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 i n))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (fma.f64 i (*.f64 i #s(literal 1/2 binary64)) i)) i))
(*.f64 (*.f64 i i) (fma.f64 #s(literal 50 binary64) (/.f64 n i) (*.f64 n #s(literal 50/3 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(fma.f64 #s(literal 100 binary64) n (*.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)))))
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (*.f64 (neg.f64 i) (/.f64 #s(literal 1 binary64) (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 n i)) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (+.f64 i #s(literal 1 binary64)) i) n (neg.f64 (/.f64 n i))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 i (/.f64 #s(literal 1 binary64) n)))
(*.f64 (fma.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 i i) i) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (*.f64 i #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal 1 binary64)) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (fma.f64 n i n) (/.f64 (neg.f64 n) 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 (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n))) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i) (/.f64 i n)))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (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)) i)
(*.f64 (*.f64 i (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 #s(literal 100 binary64) i) #s(literal 100 binary64))) (/.f64 n i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (fma.f64 i (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (/.f64 (*.f64 i (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64))) n) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (fma.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 i i) i) n))))
(/.f64 (*.f64 (*.f64 i (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (*.f64 n (*.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) n)) #s(literal 100 binary64)) i)
(*.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 i (*.f64 i (fma.f64 #s(literal 50 binary64) (/.f64 n i) (fma.f64 #s(literal 100 binary64) (/.f64 n (*.f64 i i)) (*.f64 n #s(literal 50/3 binary64))))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (fma.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 i i) i) (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))) (*.f64 n n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
(*.f64 #s(literal 100 binary64) (/.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 #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) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n)))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n) (*.f64 i (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 n)) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 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 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)) (*.f64 i #s(literal -1/4 binary64))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
(fma.f64 (/.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)) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (-.f64 (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (/.f64 (-.f64 (fma.f64 i #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i (/.f64 #s(literal -1/4 binary64) n) (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64))) n)) n)) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
(*.f64 (expm1.f64 i) (*.f64 n (/.f64 #s(literal 100 binary64) i)))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
(*.f64 (fma.f64 (pow.f64 (/.f64 i n) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 (pow.f64 (/.f64 i n) n) #s(literal -1 binary64))))
(*.f64 #s(literal 100 binary64) (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))
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(/.f64 (*.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 (/.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n))
(*.f64 (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) i) #s(literal 100 binary64))
(*.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) (/.f64 #s(literal 1 binary64) i))
(fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (*.f64 n i) (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))))))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) n) i))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal 1 binary64) i) (+.f64 (neg.f64 n) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (fma.f64 i (*.f64 i (fma.f64 i (+.f64 #s(literal 1/6 binary64) (+.f64 (fma.f64 i (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)))
(*.f64 #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) (*.f64 n (pow.f64 (/.f64 i n) n)) (/.f64 (neg.f64 n) i)))
(fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 i n) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 n i)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (/.f64 (*.f64 n #s(literal -100 binary64)) 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 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (neg.f64 n) i)))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n)))
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i (*.f64 i (*.f64 n (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64))))) (*.f64 i i))
(/.f64 (fma.f64 (*.f64 n (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64))) i (*.f64 i (*.f64 #s(literal 100 binary64) (neg.f64 n)))) (*.f64 i i))
(/.f64 (fma.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i (*.f64 i (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)))) (*.f64 i i))
(/.f64 (fma.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) i (*.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64)))) (*.f64 i i))
(fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) (/.f64 #s(literal 1 binary64) i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 i n)) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i (neg.f64 n))) (/.f64 i (neg.f64 n))) (neg.f64 (*.f64 i (/.f64 i (*.f64 n n))))))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 n i) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 i i) i)) #s(literal -1 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n))) #s(literal -1 binary64)) i) (fma.f64 i (+.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) #s(literal -1 binary64))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 i (*.f64 i n))) #s(literal -1 binary64))))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
(*.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 (log.f64 i) (log.f64 n))) (/.f64 n i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
Outputs
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 (log.f64 i) (log.f64 n))) (/.f64 n i))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
Calls

4 calls:

30.0ms
n
30.0ms
i
25.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
24.0ms
(*.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
82.1%3n
79.3%3(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
79.3%3(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
78.4%2i
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes35.0ms (0.2%)

Memory
-3.6MiB live, 39.7MiB allocated
Counts
112 → 3
Calls
Call 1
Inputs
#s(literal 0 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 i (*.f64 n (*.f64 #s(literal 50/3 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)))
(*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 #s(literal 1/6 binary64) (*.f64 i i))))
(*.f64 i (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 n i))
(*.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n i))
(*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(*.f64 n (*.f64 (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 100 binary64)))
(*.f64 (*.f64 n #s(literal 100 binary64)) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64)) (*.f64 n n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 i n))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (fma.f64 i (*.f64 i #s(literal 1/2 binary64)) i)) i))
(*.f64 (*.f64 i i) (fma.f64 #s(literal 50 binary64) (/.f64 n i) (*.f64 n #s(literal 50/3 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(fma.f64 #s(literal 100 binary64) n (*.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)))))
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (*.f64 (neg.f64 i) (/.f64 #s(literal 1 binary64) (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 n i)) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (+.f64 i #s(literal 1 binary64)) i) n (neg.f64 (/.f64 n i))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 i (/.f64 #s(literal 1 binary64) n)))
(*.f64 (fma.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 i i) i) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (*.f64 i #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal 1 binary64)) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (fma.f64 n i n) (/.f64 (neg.f64 n) 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 (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n))) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i) (/.f64 i n)))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (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)) i)
(*.f64 (*.f64 i (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 #s(literal 100 binary64) i) #s(literal 100 binary64))) (/.f64 n i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (fma.f64 i (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (/.f64 (*.f64 i (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64))) n) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (fma.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 i i) i) n))))
(/.f64 (*.f64 (*.f64 i (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (*.f64 n (*.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) n)) #s(literal 100 binary64)) i)
(*.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 i (*.f64 i (fma.f64 #s(literal 50 binary64) (/.f64 n i) (fma.f64 #s(literal 100 binary64) (/.f64 n (*.f64 i i)) (*.f64 n #s(literal 50/3 binary64))))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (fma.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 i i) i) (/.f64 #s(literal 1 binary64) n)))
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(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
(*.f64 #s(literal 100 binary64) (/.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 #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) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n)))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n) (*.f64 i (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 n)) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 n)))
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(*.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 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)) (*.f64 i #s(literal -1/4 binary64))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
(fma.f64 (/.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)) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
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(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
(*.f64 (expm1.f64 i) (*.f64 n (/.f64 #s(literal 100 binary64) i)))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
(*.f64 (fma.f64 (pow.f64 (/.f64 i n) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 (pow.f64 (/.f64 i n) n) #s(literal -1 binary64))))
(*.f64 #s(literal 100 binary64) (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))
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(/.f64 (*.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 (/.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n))
(*.f64 (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) i) #s(literal 100 binary64))
(*.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) (/.f64 #s(literal 1 binary64) i))
(fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (*.f64 n i) (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))))))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) n) i))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal 1 binary64) i) (+.f64 (neg.f64 n) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (fma.f64 i (*.f64 i (fma.f64 i (+.f64 #s(literal 1/6 binary64) (+.f64 (fma.f64 i (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)))
(*.f64 #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) (*.f64 n (pow.f64 (/.f64 i n) n)) (/.f64 (neg.f64 n) i)))
(fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 i n) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 n i)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (/.f64 (*.f64 n #s(literal -100 binary64)) 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 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (neg.f64 n) i)))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n)))
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i (*.f64 i (*.f64 n (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64))))) (*.f64 i i))
(/.f64 (fma.f64 (*.f64 n (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64))) i (*.f64 i (*.f64 #s(literal 100 binary64) (neg.f64 n)))) (*.f64 i i))
(/.f64 (fma.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i (*.f64 i (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)))) (*.f64 i i))
(/.f64 (fma.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) i (*.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64)))) (*.f64 i i))
(fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) (/.f64 #s(literal 1 binary64) i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 i n)) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i (neg.f64 n))) (/.f64 i (neg.f64 n))) (neg.f64 (*.f64 i (/.f64 i (*.f64 n n))))))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 n i) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 i i) i)) #s(literal -1 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n))) #s(literal -1 binary64)) i) (fma.f64 i (+.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) #s(literal -1 binary64))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 i (*.f64 i n))) #s(literal -1 binary64))))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
Outputs
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
Calls

1 calls:

27.0ms
n
Results
AccuracySegmentsBranch
81.4%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes32.0ms (0.2%)

Memory
-1.1MiB live, 38.6MiB allocated
Counts
111 → 3
Calls
Call 1
Inputs
#s(literal 0 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 i (*.f64 n (*.f64 #s(literal 50/3 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)))
(*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 #s(literal 1/6 binary64) (*.f64 i i))))
(*.f64 i (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 n i))
(*.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n i))
(*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(*.f64 n (*.f64 (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 100 binary64)))
(*.f64 (*.f64 n #s(literal 100 binary64)) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64)) (*.f64 n n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 i n))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (fma.f64 i (*.f64 i #s(literal 1/2 binary64)) i)) i))
(*.f64 (*.f64 i i) (fma.f64 #s(literal 50 binary64) (/.f64 n i) (*.f64 n #s(literal 50/3 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(fma.f64 #s(literal 100 binary64) n (*.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)))))
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (*.f64 (neg.f64 i) (/.f64 #s(literal 1 binary64) (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 n i)) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (+.f64 i #s(literal 1 binary64)) i) n (neg.f64 (/.f64 n i))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 i (/.f64 #s(literal 1 binary64) n)))
(*.f64 (fma.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 i i) i) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (*.f64 i #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal 1 binary64)) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (fma.f64 n i n) (/.f64 (neg.f64 n) i)))
(fma.f64 (/.f64 (fma.f64 n i n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
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(*.f64 (*.f64 i (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 #s(literal 100 binary64) i) #s(literal 100 binary64))) (/.f64 n i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (fma.f64 i (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (/.f64 (*.f64 i (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64))) n) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (fma.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 i i) i) n))))
(/.f64 (*.f64 (*.f64 i (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (*.f64 n (*.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) n)) #s(literal 100 binary64)) i)
(*.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)))
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(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (fma.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 i i) i) (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))) (*.f64 n n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
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(*.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) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n)))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n) (*.f64 i (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 n)) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 n)))
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(*.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)))
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(fma.f64 (/.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)) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
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(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
(*.f64 (expm1.f64 i) (*.f64 n (/.f64 #s(literal 100 binary64) i)))
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
(*.f64 (fma.f64 (pow.f64 (/.f64 i n) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 (pow.f64 (/.f64 i n) n) #s(literal -1 binary64))))
(*.f64 #s(literal 100 binary64) (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))
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(/.f64 (*.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 (/.f64 #s(literal 100 binary64) i) (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n))
(*.f64 (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) n) i) #s(literal 100 binary64))
(*.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) (/.f64 #s(literal 1 binary64) i))
(fma.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (*.f64 n i) (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))))))) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 1 binary64)) n) i))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal 1 binary64) i) (+.f64 (neg.f64 n) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (fma.f64 i (*.f64 i (fma.f64 i (+.f64 #s(literal 1/6 binary64) (+.f64 (fma.f64 i (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 (neg.f64 n) i)))
(*.f64 #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) (*.f64 n (pow.f64 (/.f64 i n) n)) (/.f64 (neg.f64 n) i)))
(fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 i n) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i)))
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 n i)) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)))
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (/.f64 (*.f64 n #s(literal -100 binary64)) 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 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (/.f64 (neg.f64 n) i)))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) (*.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n)))
(fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) i) #s(literal 100 binary64)) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i (*.f64 i (*.f64 n (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64))))) (*.f64 i i))
(/.f64 (fma.f64 (*.f64 n (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 100 binary64))) i (*.f64 i (*.f64 #s(literal 100 binary64) (neg.f64 n)))) (*.f64 i i))
(/.f64 (fma.f64 (*.f64 (neg.f64 n) #s(literal 100 binary64)) i (*.f64 i (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)))) (*.f64 i i))
(/.f64 (fma.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)) #s(literal 100 binary64)) i (*.f64 i (*.f64 (neg.f64 n) #s(literal 100 binary64)))) (*.f64 i i))
(fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) (/.f64 #s(literal 1 binary64) i) (*.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (/.f64 i n)) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i (neg.f64 n))) (/.f64 i (neg.f64 n))) (neg.f64 (*.f64 i (/.f64 i (*.f64 n n))))))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 n i) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 i i) i)) #s(literal -1 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 i i) (*.f64 (+.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n))) #s(literal -1 binary64)) i) (fma.f64 i (+.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) #s(literal -1 binary64))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 i (*.f64 i n))) #s(literal -1 binary64))))
Outputs
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
#s(literal 0 binary64)
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
Calls

1 calls:

27.0ms
n
Results
AccuracySegmentsBranch
80.9%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes20.0ms (0.1%)

Memory
-16.6MiB live, 23.1MiB allocated
Counts
66 → 3
Calls
Call 1
Inputs
#s(literal 0 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 i (*.f64 n (*.f64 #s(literal 50/3 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)))
(*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 #s(literal 1/6 binary64) (*.f64 i i))))
(*.f64 i (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 n i))
(*.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n i))
(*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(*.f64 n (*.f64 (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 100 binary64)))
(*.f64 (*.f64 n #s(literal 100 binary64)) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64)) (*.f64 n n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 i n))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (fma.f64 i (*.f64 i #s(literal 1/2 binary64)) i)) i))
(*.f64 (*.f64 i i) (fma.f64 #s(literal 50 binary64) (/.f64 n i) (*.f64 n #s(literal 50/3 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(fma.f64 #s(literal 100 binary64) n (*.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)))))
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (*.f64 (neg.f64 i) (/.f64 #s(literal 1 binary64) (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 n i)) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (+.f64 i #s(literal 1 binary64)) i) n (neg.f64 (/.f64 n i))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 i (/.f64 #s(literal 1 binary64) n)))
(*.f64 (fma.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 i i) i) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (*.f64 i #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal 1 binary64)) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (fma.f64 n i n) (/.f64 (neg.f64 n) 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 (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n))) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i) (/.f64 i n)))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (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)) i)
(*.f64 (*.f64 i (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 #s(literal 100 binary64) i) #s(literal 100 binary64))) (/.f64 n i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (fma.f64 i (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (/.f64 (*.f64 i (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64))) n) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (fma.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 i i) i) n))))
(/.f64 (*.f64 (*.f64 i (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (*.f64 n (*.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) n)) #s(literal 100 binary64)) i)
(*.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 i (*.f64 i (fma.f64 #s(literal 50 binary64) (/.f64 n i) (fma.f64 #s(literal 100 binary64) (/.f64 n (*.f64 i i)) (*.f64 n #s(literal 50/3 binary64))))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (fma.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 i i) i) (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))) (*.f64 n n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
(*.f64 #s(literal 100 binary64) (/.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 #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) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n)))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n) (*.f64 i (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 n)) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 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 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)) (*.f64 i #s(literal -1/4 binary64))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
(fma.f64 (/.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)) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (-.f64 (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (/.f64 (-.f64 (fma.f64 i #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i (/.f64 #s(literal -1/4 binary64) n) (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64))) n)) n)) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
Calls

1 calls:

17.0ms
n
Results
AccuracySegmentsBranch
80.0%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes64.0ms (0.4%)

Memory
3.1MiB live, 82.9MiB allocated
Counts
64 → 3
Calls
Call 1
Inputs
#s(literal 0 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 i (*.f64 n (*.f64 #s(literal 50/3 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)))
(*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 #s(literal 1/6 binary64) (*.f64 i i))))
(*.f64 i (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 n i))
(*.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n i))
(*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(*.f64 n (*.f64 (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 100 binary64)))
(*.f64 (*.f64 n #s(literal 100 binary64)) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64)) (*.f64 n n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 i n))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (fma.f64 i (*.f64 i #s(literal 1/2 binary64)) i)) i))
(*.f64 (*.f64 i i) (fma.f64 #s(literal 50 binary64) (/.f64 n i) (*.f64 n #s(literal 50/3 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(fma.f64 #s(literal 100 binary64) n (*.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)))))
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (*.f64 (neg.f64 i) (/.f64 #s(literal 1 binary64) (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) (-.f64 (*.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 n i)) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (+.f64 i #s(literal 1 binary64)) i) n (neg.f64 (/.f64 n i))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 i (/.f64 #s(literal 1 binary64) n)))
(*.f64 (fma.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 i i) i) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) (*.f64 i #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal 1 binary64)) (/.f64 (neg.f64 n) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (fma.f64 n i n) (/.f64 (neg.f64 n) 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 (fma.f64 #s(literal 100 binary64) (*.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n))) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) i) (/.f64 i n)))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (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)) i)
(*.f64 (*.f64 i (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 #s(literal 100 binary64) i) #s(literal 100 binary64))) (/.f64 n i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (fma.f64 i (*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (/.f64 (*.f64 i (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64))) n) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (fma.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 i i) i) n))))
(/.f64 (*.f64 (*.f64 i (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) (*.f64 n (*.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) n)) #s(literal 100 binary64)) i)
(*.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 i (*.f64 i (fma.f64 #s(literal 50 binary64) (/.f64 n i) (fma.f64 #s(literal 100 binary64) (/.f64 n (*.f64 i i)) (*.f64 n #s(literal 50/3 binary64))))))
(*.f64 (/.f64 #s(literal 100 binary64) i) (/.f64 (fma.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 i i) i) (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))) (*.f64 n n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
(*.f64 #s(literal 100 binary64) (/.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 #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) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n)))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n) (*.f64 i (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 n)) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 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 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)) (*.f64 i #s(literal -1/4 binary64))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
(fma.f64 (/.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)) n) i) #s(literal 100 binary64) (*.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64)))
Outputs
(fma.f64 #s(literal 100 binary64) n (*.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)))))
#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)))
Calls

4 calls:

17.0ms
n
16.0ms
i
14.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
13.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
58.3%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
58.3%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
60.2%2i
63.7%3n
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes10.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
#s(literal 0 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 i (*.f64 n (*.f64 #s(literal 50/3 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)))
(*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 #s(literal 1/6 binary64) (*.f64 i i))))
(*.f64 i (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 n i))
(*.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n i))
(*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(*.f64 n (*.f64 (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 100 binary64)))
(*.f64 (*.f64 n #s(literal 100 binary64)) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(/.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) n))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64)) (*.f64 n n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 i n))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (fma.f64 i (*.f64 i #s(literal 1/2 binary64)) i)) i))
(*.f64 (*.f64 i i) (fma.f64 #s(literal 50 binary64) (/.f64 n i) (*.f64 n #s(literal 50/3 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
Outputs
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
#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)))
Calls

1 calls:

8.0ms
n
Results
AccuracySegmentsBranch
63.7%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0%)

Memory
-30.4MiB live, 9.2MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
#s(literal 0 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 i (*.f64 n (*.f64 #s(literal 50/3 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)))
(*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 #s(literal 1/6 binary64) (*.f64 i i))))
(*.f64 i (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 n i))
(*.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n i))
(*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(*.f64 n (*.f64 (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 100 binary64)))
(*.f64 (*.f64 n #s(literal 100 binary64)) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)
Outputs
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
#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

1 calls:

6.0ms
n
Results
AccuracySegmentsBranch
62.8%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory
7.7MiB live, 7.7MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(literal 0 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 i (*.f64 n (*.f64 #s(literal 50/3 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)))
(*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 #s(literal 1/6 binary64) (*.f64 i i))))
(*.f64 i (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(*.f64 (*.f64 #s(literal 100 binary64) i) (/.f64 n i))
(*.f64 (*.f64 i #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n i))
(*.f64 (/.f64 (*.f64 i i) n) #s(literal 100/3 binary64))
(/.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 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
Calls

1 calls:

5.0ms
n
Results
AccuracySegmentsBranch
62.8%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
15.8MiB live, 15.8MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(literal 0 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 i (*.f64 n (*.f64 #s(literal 50/3 binary64) i)))
(*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n))
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

4 calls:

3.0ms
n
3.0ms
i
2.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
2.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
54.8%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
54.8%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
59.1%3i
60.1%3n
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes6.0ms (0%)

Memory
-29.6MiB live, 10.1MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 n #s(literal 100 binary64))
Outputs
(*.f64 n #s(literal 100 binary64))
#s(literal 0 binary64)
Calls

4 calls:

2.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
1.0ms
n
1.0ms
i
1.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
51.3%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
51.3%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
55.8%2i
56.3%3n
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes5.0ms (0%)

Memory
9.1MiB live, 9.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

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
13.3%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
13.3%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
13.3%1n
13.3%1i
Compiler

Compiled 38 to 22 computations (42.1% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
1.2531919821972764e-215
2.1060607499488686e-187
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch126.0ms (0.8%)

Memory
-11.2MiB live, 150.0MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
26.0ms
2.3997987001664043e+116
8.127862385774397e+118
52.0ms
6.524755946561929e-160
2.8084597109706564e-155
38.0ms
-1.2776630804048664e-92
-1.6996383995044558e-96
Samples
83.0ms305×1valid
7.0ms15×2valid
5.0ms64×0valid
4.0ms64×0invalid
0.0ms2×1exit
Compiler

Compiled 1 092 to 719 computations (34.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-pow: 55.0ms (65.2% of total)
ival-div: 11.0ms (13% of total)
adjust: 6.0ms (7.1% of total)
ival-add: 4.0ms (4.7% of total)
ival-sub: 4.0ms (4.7% of total)
ival-mult: 4.0ms (4.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch103.0ms (0.7%)

Memory
15.1MiB live, 93.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
55.0ms
1.2149469421993438e-65
1.6636684128238325e-38
38.0ms
-9.80464503514129e-305
2.8744346699181655e-296
Samples
31.0ms87×2valid
27.0ms159×1valid
12.0ms214×0invalid
5.0ms87×0valid
2.0ms3×3valid
Compiler

Compiled 587 to 414 computations (29.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-pow: 28.0ms (47.4% of total)
ival-div: 12.0ms (20.3% of total)
adjust: 6.0ms (10.1% of total)
ival-add: 4.0ms (6.8% of total)
ival-sub: 4.0ms (6.8% of total)
ival-mult: 4.0ms (6.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.2149469421993438e-65
1.6636684128238325e-38
1.0ms
-9.80464503514129e-305
2.8744346699181655e-296
Compiler

Compiled 587 to 414 computations (29.5% saved)

bsearch87.0ms (0.6%)

Memory
15.9MiB live, 54.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
40.0ms
1.910021301847781e-102
5.357824816151353e-96
39.0ms
-2.230811864976715e-261
-2.7685965954703177e-267
Samples
34.0ms102×2valid
18.0ms120×1valid
9.0ms159×0invalid
4.0ms65×0valid
1.0ms1×3valid
Compiler

Compiled 290 to 231 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-pow: 22.0ms (42.4% of total)
ival-div: 10.0ms (19.3% of total)
adjust: 6.0ms (11.6% of total)
ival-sub: 6.0ms (11.6% of total)
ival-mult: 4.0ms (7.7% of total)
ival-add: 3.0ms (5.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch100.0ms (0.7%)

Memory
12.3MiB live, 46.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
40.0ms
3.4539842354404904
169339601.47645292
53.0ms
-2.84159380961507e-14
-1.3425110785808156e-17
Samples
36.0ms82×2valid
35.0ms123×1valid
5.0ms67×0valid
5.0ms84×0invalid
Compiler

Compiled 377 to 270 computations (28.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-pow: 36.0ms (51.7% of total)
adjust: 15.0ms (21.5% of total)
ival-div: 8.0ms (11.5% of total)
ival-sub: 3.0ms (4.3% of total)
ival-mult: 3.0ms (4.3% of total)
ival-add: 3.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch47.0ms (0.3%)

Memory
-13.9MiB live, 21.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.910021301847781e-102
5.357824816151353e-96
34.0ms
-3.355237241169415e-176
-1.0112155710685778e-177
Samples
15.0ms44×2valid
8.0ms47×1valid
4.0ms65×0invalid
1.0ms21×0valid
Compiler

Compiled 352 to 269 computations (23.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-pow: 11.0ms (49.4% of total)
ival-div: 4.0ms (18% of total)
adjust: 3.0ms (13.5% of total)
ival-mult: 2.0ms (9% of total)
ival-add: 1.0ms (4.5% of total)
ival-sub: 1.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.910021301847781e-102
5.357824816151353e-96
1.0ms
-3.355237241169415e-176
-1.0112155710685778e-177
Compiler

Compiled 324 to 255 computations (21.3% saved)

bsearch2.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.910021301847781e-102
5.357824816151353e-96
1.0ms
-3.355237241169415e-176
-1.0112155710685778e-177
Compiler

Compiled 290 to 230 computations (20.7% saved)

bsearch2.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.910021301847781e-102
5.357824816151353e-96
1.0ms
-3.355237241169415e-176
-1.0112155710685778e-177
Compiler

Compiled 276 to 223 computations (19.2% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.910021301847781e-102
5.357824816151353e-96
1.0ms
-3.355237241169415e-176
-1.0112155710685778e-177
Compiler

Compiled 228 to 191 computations (16.2% saved)

bsearch34.0ms (0.2%)

Memory
-31.6MiB live, 13.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
23.0ms
4.450196231232284e+61
3.9685809645732735e+62
Samples
16.0ms73×1valid
2.0ms23×0valid
2.0ms31×0invalid
Compiler

Compiled 80 to 69 computations (13.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-pow: 8.0ms (52% of total)
ival-div: 3.0ms (19.5% of total)
ival-add: 1.0ms (6.5% of total)
adjust: 1.0ms (6.5% of total)
ival-sub: 1.0ms (6.5% of total)
ival-mult: 1.0ms (6.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify63.0ms (0.4%)

Memory
32.2MiB live, 32.2MiB allocated
Algorithm
1×egg-herbie
Rules
678×distribute-lft-neg-in_binary64
408×neg-mul-1_binary64
362×cancel-sign-sub_binary64
344×neg-sub0_binary64
266×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0134433
1185433
2225431
3280431
4416431
5587431
6751431
7999431
81334431
91656431
101913431
112015431
122046431
132054431
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 7762590461503545/388129523075177233787244872115625638814221504279174152784763009506512738171594221582719602207161619487621932674282768301542895011028703597861071818760295284801113744005212476387566321407899611206315749798429117187723211713454014464 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 i #s(literal -70456277483215/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (if (<=.f64 i #s(literal 3381470332640101/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n) (*.f64 i (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 n)) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 n))) (if (<=.f64 i #s(literal 3099999999999999750768091430857591660571121442458784755415246197858693367705940208367846817621521529398447395554983936 binary64)) (*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (/.f64 i n) n)) (/.f64 (neg.f64 n) i))))))
(if (<=.f64 n #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 722542636840853/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 (log.f64 i) (log.f64 n))) (/.f64 n i)) (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 722542636840853/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))) (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -1218705325816245/553956966280111321359151042308621317197106853745652161186848528428353614047320326248246548509656023453846098404449586961587736474553087989908021159880755329796288475560940755137311819879076531853615938045960455092067922915100261601864210866521544040371494407003426519343169536 binary64)) (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 4917370373310031/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) #s(literal 0 binary64) (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -215500602038799/1267650600228229401496703205376 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (if (<=.f64 n #s(literal 7/2 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))))
(if (<=.f64 n #s(literal -7117407363490625/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776 binary64)) (fma.f64 #s(literal 100 binary64) n (*.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))))) (if (<=.f64 n #s(literal 4917370373310031/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 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)))))
(if (<=.f64 n #s(literal -7117407363490625/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776 binary64)) (*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 4917370373310031/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 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)))))
(if (<=.f64 n #s(literal -7117407363490625/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776 binary64)) (*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n)) (if (<=.f64 n #s(literal 4917370373310031/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 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)))))
(if (<=.f64 n #s(literal -7117407363490625/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776 binary64)) (*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 4917370373310031/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 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)))))
(if (<=.f64 n #s(literal -7117407363490625/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776 binary64)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) (if (<=.f64 n #s(literal 4917370373310031/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) #s(literal 0 binary64) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
(if (<=.f64 i #s(literal 47999999999999997570582494259552905614254960528643683508027392 binary64)) (*.f64 n #s(literal 100 binary64)) #s(literal 0 binary64))
#s(literal 0 binary64)
Outputs
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 7762590461503545/388129523075177233787244872115625638814221504279174152784763009506512738171594221582719602207161619487621932674282768301542895011028703597861071818760295284801113744005212476387566321407899611206315749798429117187723211713454014464 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 7762590461503545/388129523075177233787244872115625638814221504279174152784763009506512738171594221582719602207161619487621932674282768301542895011028703597861071818760295284801113744005212476387566321407899611206315749798429117187723211713454014464 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 i #s(literal -70456277483215/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (if (<=.f64 i #s(literal 3381470332640101/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n) (*.f64 i (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 n)) (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 n))) (if (<=.f64 i #s(literal 3099999999999999750768091430857591660571121442458784755415246197858693367705940208367846817621521529398447395554983936 binary64)) (*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (/.f64 i n) n)) (/.f64 (neg.f64 n) i))))))
(if (<=.f64 i #s(literal -70456277483215/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (if (<=.f64 i #s(literal 3381470332640101/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n) (*.f64 i (fma.f64 i #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) n)))) (if (<=.f64 i #s(literal 3099999999999999750768091430857591660571121442458784755415246197858693367705940208367846817621521529398447395554983936 binary64)) (*.f64 (/.f64 #s(literal 100 binary64) i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (pow.f64 (/.f64 i n) n)) (/.f64 n (neg.f64 i)))))))
(if (<=.f64 n #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 722542636840853/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 (log.f64 i) (log.f64 n))) (/.f64 n i)) (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))) (if (<=.f64 n #s(literal 722542636840853/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (*.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (-.f64 (log.f64 i) (log.f64 n))) (/.f64 n i)) (*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))
(if (<=.f64 n #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 722542636840853/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))) (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))) (if (<=.f64 n #s(literal 722542636840853/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i))) (*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))
(if (<=.f64 n #s(literal -1218705325816245/553956966280111321359151042308621317197106853745652161186848528428353614047320326248246548509656023453846098404449586961587736474553087989908021159880755329796288475560940755137311819879076531853615938045960455092067922915100261601864210866521544040371494407003426519343169536 binary64)) (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 4917370373310031/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) #s(literal 0 binary64) (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -1218705325816245/553956966280111321359151042308621317197106853745652161186848528428353614047320326248246548509656023453846098404449586961587736474553087989908021159880755329796288475560940755137311819879076531853615938045960455092067922915100261601864210866521544040371494407003426519343169536 binary64)) (*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))) (if (<=.f64 n #s(literal 4917370373310031/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) #s(literal 0 binary64) (*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))
(if (<=.f64 n #s(literal -215500602038799/1267650600228229401496703205376 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (if (<=.f64 n #s(literal 7/2 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))))
(if (<=.f64 n #s(literal -7117407363490625/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776 binary64)) (fma.f64 #s(literal 100 binary64) n (*.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))))) (if (<=.f64 n #s(literal 4917370373310031/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 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)))))
(if (<=.f64 n #s(literal -7117407363490625/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776 binary64)) (*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 4917370373310031/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 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)))))
(if (<=.f64 n #s(literal -7117407363490625/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776 binary64)) (*.f64 #s(literal 100 binary64) (fma.f64 n (*.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n)) (if (<=.f64 n #s(literal 4917370373310031/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 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)))))
(if (<=.f64 n #s(literal -7117407363490625/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776 binary64)) (*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 4917370373310031/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 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)))))
(if (<=.f64 n #s(literal -7117407363490625/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776 binary64)) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))) (if (<=.f64 n #s(literal 4917370373310031/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) #s(literal 0 binary64) (*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))))
(if (<=.f64 i #s(literal 47999999999999997570582494259552905614254960528643683508027392 binary64)) (*.f64 n #s(literal 100 binary64)) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness1.4s (9.4%)

Memory
-4.4MiB live, 158.9MiB allocated
Rules
12 470×lower-fma.f64
12 470×lower-fma.f32
11 700×lower-fma.f64
11 700×lower-fma.f32
11 188×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032166
061164
1242160
21808156
08267156
041250
078235
1362229
23210228
08558224
05153831
116243489
255233268
081372980
05744893
118904774
266564654
082814088
042276
077258
1370252
23907252
08673236
0107013054
1344712096
0862011198
08538506
127997808
085377146
01044
01644
17344
257044
3735444
0866938
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node 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
Compiler

Compiled 927 to 494 computations (46.7% saved)

preprocess107.0ms (0.7%)

Memory
-7.7MiB live, 69.8MiB allocated
Compiler

Compiled 984 to 324 computations (67.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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