Compound Interest

Time bar (total: 15.5s)

analyze267.0ms (1.7%)

Memory
6.4MiB live, 254.3MiB 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)

sample4.0s (25.7%)

Memory
46.2MiB live, 5 190.8MiB allocated
Samples
2.0s4 451×1valid
873.0ms1 688×2valid
361.0ms2 075×0valid
150.0ms2 011×0invalid
37.0ms42×3valid
3.0ms25×1exit
Precisions
Click to see histograms. Total time spent on operations: 2.9s
ival-pow: 1.6s (53.6% of total)
ival-div: 785.0ms (26.9% of total)
ival-mult: 195.0ms (6.7% of total)
adjust: 148.0ms (5.1% of total)
ival-add: 101.0ms (3.5% of total)
ival-sub: 98.0ms (3.4% of total)
exact: 16.0ms (0.5% of total)
ival-true: 9.0ms (0.3% of total)
ival-assert: 5.0ms (0.2% of total)
Bogosity

preprocess254.0ms (1.6%)

Memory
9.2MiB live, 248.0MiB allocated
Algorithm
2×egg-herbie
Rules
1 792×accelerator-lowering-fma.f32
1 792×accelerator-lowering-fma.f64
1 574×div-sub
1 136×*-lowering-*.f32
1 136×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032100
19796
227792
3101292
4417792
5693892
01015
12415
25015
39815
419715
546015
677615
7123315
8198215
9283215
10330415
11345615
12346615
13346715
14346715
15348715
16349515
17349515
0349514
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
Outputs
(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
(*.f64 (/.f64 n i) (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64)))
Call 2
Inputs
(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
(* 100 (/ (- (pow (+ 1 (/ (neg i) n)) n) 1) (/ (neg i) n)))
(* 100 (/ (- (pow (+ 1 (/ i (neg n))) (neg n)) 1) (/ i (neg n))))
(neg (* 100 (/ (- (pow (+ 1 (/ (neg i) n)) n) 1) (/ (neg i) n))))
(neg (* 100 (/ (- (pow (+ 1 (/ i (neg n))) (neg n)) 1) (/ i (neg n)))))
(* 100 (/ (- (pow (+ 1 (/ n i)) i) 1) (/ n i)))
Outputs
(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
(* (+ (pow (+ 1 (/ i n)) n) -1) (* 100 (/ n i)))
(* 100 (/ (- (pow (+ 1 (/ (neg i) n)) n) 1) (/ (neg i) n)))
(* n (* (+ (pow (- 1 (/ i n)) n) -1) (/ -100 i)))
(* 100 (/ (- (pow (+ 1 (/ i (neg n))) (neg n)) 1) (/ i (neg n))))
(* 100 (* (/ n i) (- 1 (pow (- 1 (/ i n)) (neg n)))))
(neg (* 100 (/ (- (pow (+ 1 (/ (neg i) n)) n) 1) (/ (neg i) n))))
(* (+ (pow (- 1 (/ i n)) n) -1) (* 100 (/ n i)))
(neg (* 100 (/ (- (pow (+ 1 (/ i (neg n))) (neg n)) 1) (/ i (neg n)))))
(* 100 (* (+ (pow (- 1 (/ i n)) (neg n)) -1) (/ n i)))
(* 100 (/ (- (pow (+ 1 (/ n i)) i) 1) (/ n i)))
(* 100 (* (/ i n) (+ (pow (+ 1 (/ n i)) i) -1)))

explain527.0ms (3.4%)

Memory
-8.3MiB live, 597.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1870-1(0.010778386030326513 -2.8678999553180718e+296)(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
6171(-9.655449898598812e-134 -8.517264347294963e+272)0-(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
320-2(3.4901333539196985e-223 -1.6728161104366585e+88)(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
20-2(1.514746732071699e+64 1.628910110349568e-129)(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
00-0-n
00-0-(+.f64 #s(literal 1 binary64) (/.f64 i n))
00-0-#s(literal 1 binary64)
00-0-i
00-0-(/.f64 i n)
00-0-#s(literal 100 binary64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))cancellation1861
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)sensitivity1101
/.f64(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))n/u300
↳(/.f64 i n)underflow30
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)oflow-rescue220
↳(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)overflow27
↳(/.f64 i n)overflow22
↳(+.f64 #s(literal 1 binary64) (/.f64 i n))overflow22
Confusion
Predicted +Predicted -
+1920
-3034
Precision
0.8648648648648649
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+19200
-30034
Precision?
0.8648648648648649
Recall?
1.0
Freqs
test
numberfreq
034
1126
266
330
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
132.0ms160×2valid
75.0ms268×1valid
7.0ms76×0valid
6.0ms8×3valid
Compiler

Compiled 150 to 44 computations (70.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 192.0ms
ival-pow: 91.0ms (47.4% of total)
adjust: 37.0ms (19.3% of total)
ival-mult: 33.0ms (17.2% of total)
ival-div: 17.0ms (8.9% of total)
ival-add: 7.0ms (3.6% of total)
ival-sub: 6.0ms (3.1% of total)
exact: 1.0ms (0.5% of total)
ival-true: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶28.2%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 17 to 10 computations (41.2% saved)

simplify193.0ms (1.2%)

Memory
0.0MiB live, 78.7MiB 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×accelerator-lowering-fma.f32
1 792×accelerator-lowering-fma.f64
1 136×*-lowering-*.f32
1 136×*-lowering-*.f64
654×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01056
12456
25056
39856
419756
546056
677656
7123356
8198256
9283256
10330456
11345656
12346656
13346756
14346756
15348756
16349556
17349556
0349555
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
100
(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
(- (pow (+ 1 (/ i n)) n) 1)
(pow (+ 1 (/ i n)) n)
(+ 1 (/ i n))
1
(/ i n)
i
n
Outputs
(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ 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)))
100
#s(literal 100 binary64)
(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
(/.f64 (fma.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (neg.f64 n)) i)
(- (pow (+ 1 (/ i n)) n) 1)
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))
(pow (+ 1 (/ i n)) n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
1
#s(literal 1 binary64)
(/ i n)
(/.f64 i n)
i
n

localize182.0ms (1.2%)

Memory
-1.5MiB live, 117.5MiB 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)))
✓accuracy88.5%
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
✓accuracy77.6%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓accuracy32.8%
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
Samples
112.0ms80×2valid
48.0ms134×1valid
3.0ms38×0valid
3.0ms4×3valid
Compiler

Compiled 58 to 12 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 152.0ms
ival-pow: 94.0ms (61.8% of total)
ival-div: 45.0ms (29.6% of total)
adjust: 4.0ms (2.6% of total)
ival-sub: 3.0ms (2% of total)
ival-mult: 3.0ms (2% of total)
ival-add: 3.0ms (2% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series55.0ms (0.4%)

Memory
-12.0MiB live, 26.1MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))>
#<alt (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))>
#<alt (- (pow (+ 1 (/ i n)) n) 1)>
#<alt (pow (+ 1 (/ i n)) n)>
Outputs
#<alt n>
#<alt (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)>
#<alt (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i)>
#<alt (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)>
#<alt (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)>
#<alt (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)>
#<alt (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))>
#<alt (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i))) i))>
#<alt (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) i)) (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i))>
#<alt (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)>
#<alt (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))>
#<alt (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))>
#<alt (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))>
#<alt (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))>
#<alt (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))>
#<alt (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))>
#<alt (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))>
#<alt (* 100 n)>
#<alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))>
#<alt (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))>
#<alt (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))>
#<alt (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)>
#<alt (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)>
#<alt (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)>
#<alt (* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))>
#<alt (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))>
#<alt (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i))>
#<alt (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i))>
#<alt (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))>
#<alt (* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))>
#<alt (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))>
#<alt (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))>
#<alt (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))>
#<alt (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))>
#<alt i>
#<alt (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))>
#<alt (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))>
#<alt (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)>
#<alt (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)>
#<alt (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)>
#<alt (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1)>
#<alt (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)>
#<alt (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) 1)>
#<alt (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) 1)>
#<alt (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) 1)>
#<alt (* n (+ (log i) (* -1 (log n))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))>
#<alt (- (exp i) 1)>
#<alt (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)>
#<alt (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)>
#<alt (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)>
#<alt (- (exp i) 1)>
#<alt (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)>
#<alt (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)>
#<alt (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)>
#<alt 1>
#<alt (+ 1 i)>
#<alt (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))>
#<alt (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))>
#<alt (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))>
#<alt 1>
#<alt (+ 1 (* n (+ (log i) (* -1 (log n)))))>
#<alt (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))>
#<alt (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))>
#<alt (exp i)>
#<alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))>
#<alt (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))>
#<alt (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))>
#<alt (exp i)>
#<alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))>
#<alt (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))>
#<alt (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))>
Calls

24 calls:

TimeVariablePointExpression
34.0ms
i
@-inf
(- (pow (+ 1 (/ i n)) n) 1)
3.0ms
n
@0
(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
2.0ms
i
@-inf
(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
2.0ms
i
@inf
(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
2.0ms
n
@inf
(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))

rewrite389.0ms (2.5%)

Memory
50.0MiB live, 541.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 646×accelerator-lowering-fma.f32
4 646×accelerator-lowering-fma.f64
3 878×*-lowering-*.f32
3 878×*-lowering-*.f64
3 404×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01044
16744
256444
3734544
0866038
Stop Event
1×iter limit
1×node limit
Counts
4 → 498
Calls
Call 1
Inputs
(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
(- (pow (+ 1 (/ i n)) n) 1)
(pow (+ 1 (/ i n)) n)
Outputs
(+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) (/.f64 n (neg.f64 i)))
(+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) (*.f64 (/.f64 n i) #s(literal -1 binary64)))
(+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) (*.f64 (/.f64 n (neg.f64 i)) #s(literal 1 binary64)))
(+.f64 (/.f64 n (neg.f64 i)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)))
(+.f64 (*.f64 (/.f64 n i) #s(literal -1 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)))
(exp.f64 (*.f64 (log.f64 (/.f64 i (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 n i)))
(-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) (/.f64 n i))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (/.f64 i n)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (/.f64 i n)))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (/.f64 i n)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (/.f64 i n)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 i n))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 n i)))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) (*.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (/.f64 (fma.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n)))
(-.f64 (/.f64 (*.f64 (/.f64 i n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 (*.f64 i i) (*.f64 n n))) (/.f64 (/.f64 i n) (/.f64 (*.f64 i i) (*.f64 n n))))
(-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i)))) (fma.f64 (/.f64 n i) (*.f64 (/.f64 n i) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (/.f64 (/.f64 (*.f64 n n) i) i)))) (/.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i))) (fma.f64 (/.f64 n i) (*.f64 (/.f64 n i) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (/.f64 (/.f64 (*.f64 n n) i) i)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (/.f64 (/.f64 (*.f64 n n) i) i)) (*.f64 (/.f64 n i) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (/.f64 (/.f64 (/.f64 (*.f64 n n) i) i) (*.f64 (/.f64 n i) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) (/.f64 n (neg.f64 i)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) (*.f64 (/.f64 n i) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) (*.f64 (/.f64 n (neg.f64 i)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 i)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)))
(fma.f64 n (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 n (neg.f64 i)))
(fma.f64 n (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 (/.f64 n i) #s(literal -1 binary64)))
(fma.f64 n (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (*.f64 (/.f64 n (neg.f64 i)) #s(literal 1 binary64)))
(fma.f64 n (/.f64 #s(literal -1 binary64) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i) (/.f64 n (neg.f64 i)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i) (*.f64 (/.f64 n i) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i) (*.f64 (/.f64 n (neg.f64 i)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)))
(fma.f64 (neg.f64 n) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (neg.f64 i)) (/.f64 n (neg.f64 i)))
(fma.f64 (neg.f64 n) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (neg.f64 i)) (*.f64 (/.f64 n i) #s(literal -1 binary64)))
(fma.f64 (neg.f64 n) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (neg.f64 i)) (*.f64 (/.f64 n (neg.f64 i)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) #s(literal 1 binary64) (/.f64 n (neg.f64 i)))
(fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal -1 binary64)))
(fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) #s(literal 1 binary64) (*.f64 (/.f64 n (neg.f64 i)) #s(literal 1 binary64)))
(fma.f64 (/.f64 n i) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n (neg.f64 i)))
(fma.f64 (/.f64 n i) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 n i) #s(literal -1 binary64)))
(fma.f64 (/.f64 n i) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 n (neg.f64 i)) #s(literal 1 binary64)))
(fma.f64 (/.f64 n i) #s(literal -1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)))
(fma.f64 #s(literal -1 binary64) (/.f64 n i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (/.f64 n i)) (/.f64 n (neg.f64 i)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (/.f64 n i)) (*.f64 (/.f64 n i) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (/.f64 n i)) (*.f64 (/.f64 n (neg.f64 i)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 n (neg.f64 i)) (/.f64 n (neg.f64 i)))
(fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 n (neg.f64 i)) (*.f64 (/.f64 n i) #s(literal -1 binary64)))
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(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
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(*.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))))
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(exp.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n)))) (*.f64 n #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)) (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
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(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal 1/2 binary64))
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(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n))) (*.f64 n #s(literal 1/2 binary64)))
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(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
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(*.f64 (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 (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))))

simplify509.0ms (3.3%)

Memory
-56.2MiB live, 707.7MiB allocated
Algorithm
1×egg-herbie
Rules
11 188×accelerator-lowering-fma.f32
11 188×accelerator-lowering-fma.f64
6 726×*-lowering-*.f32
6 726×*-lowering-*.f64
3 544×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval79.0ms (0.5%)

Memory
-4.3MiB live, 186.3MiB allocated
Compiler

Compiled 18 505 to 2 039 computations (89% saved)

prune101.0ms (0.6%)

Memory
19.5MiB live, 299.0MiB allocated
Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New56628594
Fresh000
Picked101
Done000
Total56728595
Accuracy
99.9%
Counts
595 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.4%
(fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64)))
67.3%
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
16.7%
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)
28.0%
(*.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))
51.8%
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
28.4%
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
28.3%
(*.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))
67.7%
(*.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))))
▶49.1%
(*.f64 n #s(literal 100 binary64))
19.8%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 n (neg.f64 i))))
19.6%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i))))
▶19.8%
(*.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 n (neg.f64 i))))
▶52.4%
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
▶46.0%
(*.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))
40.9%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
41.4%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
11.3%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
9.3%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
16.5%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (neg.f64 (/.f64 i n))) (neg.f64 (/.f64 i n))) (/.f64 (*.f64 i i) (*.f64 n (neg.f64 n)))))
22.1%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
33.7%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (exp.f64 i) #s(literal 1 binary64)) (/.f64 i n)))
20.8%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
17.2%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
67.4%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
▶79.0%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
45.8%
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
23.5%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) i) (/.f64 (*.f64 n n) i)))
16.5%
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
Compiler

Compiled 1 094 to 694 computations (36.6% saved)

simplify603.0ms (3.9%)

Memory
20.5MiB live, 534.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 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) n)
✓cost-diff128
(*.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 n (neg.f64 i))))
✓cost-diff1024
(fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i)))
✓cost-diff0
(*.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))
✓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 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))))
✓cost-diff832
(*.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)))))
✓cost-diff832
(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))))))
✓cost-diff0
(*.f64 n i)
✓cost-diff0
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
✓cost-diff128
(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-diff1216
(fma.f64 (*.f64 n i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)
✓cost-diff0
(*.f64 n #s(literal 100 binary64))
✓cost-diff0
(*.f64 n (log1p.f64 (/.f64 i n)))
✓cost-diff128
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
✓cost-diff384
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
✓cost-diff6272
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
Rules
11 928×accelerator-lowering-fma.f32
11 928×accelerator-lowering-fma.f64
3 404×+-lowering-+.f64
3 404×+-lowering-+.f32
3 394×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056555
1175539
2644539
32912539
44836527
08466486
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 100 (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (/ i n)))
100
(/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (/ i n))
(- (exp (* n (log (+ 1 (/ i n))))) 1)
(* n (log (+ 1 (/ i n))))
n
(log (+ 1 (/ i n)))
(/ i n)
i
(* n 100)
n
100
(* 100 (+ (* (* n i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) n))
100
(+ (* (* n i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) n)
(* n i)
n
i
(+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))
(+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))
(/ 1/3 (* n n))
1/3
(* n n)
(+ 1/6 (/ -1/2 n))
1/6
(/ -1/2 n)
-1/2
(- 1/2 (/ 1/2 n))
1/2
(/ 1/2 n)
(* 100 (+ (* i (+ (* n (- 1/2 (/ 1/2 n))) (* (* n i) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n))))))) n))
100
(+ (* i (+ (* n (- 1/2 (/ 1/2 n))) (* (* n i) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n))))))) n)
i
(+ (* n (- 1/2 (/ 1/2 n))) (* (* n i) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n))))))
n
(- 1/2 (/ 1/2 n))
1/2
(/ 1/2 n)
(* (* n i) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))))
(* n i)
(+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n))))
(+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))
(+ 1/24 (/ 11/24 (* n n)))
1/24
(/ 11/24 (* n n))
11/24
(* n n)
(+ (/ -1/4 (* n (* n n))) (/ -1/4 n))
(/ -1/4 (* n (* n n)))
-1/4
(* n (* n n))
(/ -1/4 n)
(+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))
(/ 1/3 (* n n))
1/3
(+ 1/6 (/ -1/2 n))
1/6
(/ -1/2 n)
-1/2
(* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ n (neg i))))
100
(+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ n (neg i)))
(* (pow (+ 1 (/ i n)) n) n)
(pow (+ 1 (/ i n)) n)
(+ 1 (/ i n))
1
(/ i n)
i
n
(/ 1 i)
(/ n (neg i))
(neg i)
Outputs
(* 100 (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (/ i n)))
(/.f64 (*.f64 n (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64))) i)
100
#s(literal 100 binary64)
(/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (/ i n))
(/.f64 (fma.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (neg.f64 n)) i)
(- (exp (* n (log (+ 1 (/ i n))))) 1)
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))
(* n (log (+ 1 (/ i n))))
(*.f64 n (log1p.f64 (/.f64 i n)))
n
(log (+ 1 (/ i n)))
(log1p.f64 (/.f64 i n))
(/ i n)
(/.f64 i n)
i
(* n 100)
(*.f64 #s(literal 100 binary64) n)
n
100
#s(literal 100 binary64)
(* 100 (+ (* (* n i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i (fma.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64))) n))
100
#s(literal 100 binary64)
(+ (* (* n i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) n)
(fma.f64 i (fma.f64 i (fma.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64))) n)
(* n i)
(*.f64 n i)
n
i
(+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))
(+.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 i n) (+.f64 (/.f64 #s(literal 1/3 binary64) n) #s(literal -1/2 binary64)) (fma.f64 i #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))))
(+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))
(/ 1/3 (* n n))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
1/3
#s(literal 1/3 binary64)
(* n n)
(*.f64 n n)
(+ 1/6 (/ -1/2 n))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))
1/6
#s(literal 1/6 binary64)
(/ -1/2 n)
(/.f64 #s(literal -1/2 binary64) n)
-1/2
#s(literal -1/2 binary64)
(- 1/2 (/ 1/2 n))
(+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
(* 100 (+ (* i (+ (* n (- 1/2 (/ 1/2 n))) (* (* n i) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n))))))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 i (fma.f64 n (fma.f64 i (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (fma.f64 (/.f64 i n) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n n)) #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)))) #s(literal -1/2 binary64)) (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64))) n))
100
#s(literal 100 binary64)
(+ (* i (+ (* n (- 1/2 (/ 1/2 n))) (* (* n i) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n))))))) n)
(fma.f64 i (fma.f64 i (fma.f64 n (fma.f64 i (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (fma.f64 (/.f64 i n) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n n)) #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)))) #s(literal -1/2 binary64)) (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64))) n)
i
(+ (* n (- 1/2 (/ 1/2 n))) (* (* n i) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n))))))
(fma.f64 i (fma.f64 n (fma.f64 i (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (fma.f64 (/.f64 i n) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n n)) #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)))) #s(literal -1/2 binary64)) (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
n
(- 1/2 (/ 1/2 n))
(+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
(* (* n i) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))))
(*.f64 i (fma.f64 n (fma.f64 i (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (fma.f64 (/.f64 i n) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n n)) #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)))) #s(literal -1/2 binary64)))
(* n i)
(*.f64 n i)
(+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n))))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (fma.f64 i (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (fma.f64 (/.f64 i n) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n n)) #s(literal -1/4 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))))
(+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 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))))
(+ 1/24 (/ 11/24 (* n n)))
(+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n)))
1/24
#s(literal 1/24 binary64)
(/ 11/24 (* n n))
(/.f64 #s(literal 11/24 binary64) (*.f64 n n))
11/24
#s(literal 11/24 binary64)
(* n n)
(*.f64 n n)
(+ (/ -1/4 (* n (* n n))) (/ -1/4 n))
(+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))
(/ -1/4 (* n (* n n)))
(/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))
-1/4
#s(literal -1/4 binary64)
(* n (* n n))
(*.f64 n (*.f64 n n))
(/ -1/4 n)
(/.f64 #s(literal -1/4 binary64) n)
(+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))
(/ 1/3 (* n n))
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
1/3
#s(literal 1/3 binary64)
(+ 1/6 (/ -1/2 n))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))
1/6
#s(literal 1/6 binary64)
(/ -1/2 n)
(/.f64 #s(literal -1/2 binary64) n)
-1/2
#s(literal -1/2 binary64)
(* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ n (neg i))))
(/.f64 (*.f64 n (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64))) i)
100
#s(literal 100 binary64)
(+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ n (neg i)))
(/.f64 (fma.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (neg.f64 n)) i)
(* (pow (+ 1 (/ i n)) n) n)
(*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
(pow (+ 1 (/ i n)) n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
1
#s(literal 1 binary64)
(/ i n)
(/.f64 i n)
i
n
(/ 1 i)
(/.f64 #s(literal 1 binary64) i)
(/ n (neg i))
(/.f64 n (neg.f64 i))
(neg i)
(neg.f64 i)

localize393.0ms (2.5%)

Memory
-19.6MiB live, 537.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n)
✓accuracy99.8%
(*.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 n (neg.f64 i))))
✓accuracy77.6%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓accuracy41.6%
(fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) n) (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i)))
✓accuracy99.3%
(/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))
✓accuracy86.6%
(+.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)))
✓accuracy85.8%
(*.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)))))
✓accuracy76.3%
(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))))
✓accuracy99.9%
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
✓accuracy99.4%
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
✓accuracy94.7%
(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)))
✓accuracy90.3%
(fma.f64 (*.f64 n i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)
✓accuracy100.0%
(*.f64 n #s(literal 100 binary64))
✓accuracy99.8%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
✓accuracy91.7%
(log1p.f64 (/.f64 i n))
✓accuracy89.0%
(*.f64 n (log1p.f64 (/.f64 i n)))
✓accuracy88.8%
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
Samples
202.0ms170×1valid
38.0ms54×0valid
33.0ms20×2valid
20.0ms3×5exit
3.0ms8×0invalid
1.0ms1×1exit
Compiler

Compiled 548 to 57 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 232.0ms
ival-add: 55.0ms (23.7% of total)
ival-div: 46.0ms (19.9% of total)
ival-mult: 41.0ms (17.7% of total)
ival-pow: 36.0ms (15.5% of total)
const: 26.0ms (11.2% of total)
adjust: 14.0ms (6% of total)
ival-log1p: 5.0ms (2.2% of total)
ival-expm1: 3.0ms (1.3% of total)
ival-neg: 2.0ms (0.9% of total)
ival-sub: 2.0ms (0.9% of total)
exact: 1.0ms (0.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series58.0ms (0.4%)

Memory
7.4MiB live, 90.0MiB allocated
Counts
21 → 456
Calls
Call 1
Inputs
#<alt (- (exp (* n (log (+ 1 (/ i n))))) 1)>
#<alt (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (/ i n))>
#<alt (* 100 (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (/ i n)))>
#<alt (* n (log (+ 1 (/ i n))))>
#<alt (* n 100)>
#<alt (+ (* (* n i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) n)>
#<alt (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))>
#<alt (* 100 (+ (* (* n i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) n))>
#<alt (* n i)>
#<alt (+ (* n (- 1/2 (/ 1/2 n))) (* (* n i) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n))))))>
#<alt (* (* n i) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))))>
#<alt (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n))))>
#<alt (* 100 (+ (* i (+ (* n (- 1/2 (/ 1/2 n))) (* (* n i) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n))))))) n))>
#<alt (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ n (neg i)))>
#<alt (* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ n (neg i))))>
#<alt (* (pow (+ 1 (/ i n)) n) n)>
#<alt (pow (+ 1 (/ i n)) n)>
#<alt (log (+ 1 (/ i n)))>
#<alt (/ 1/3 (* n n))>
#<alt (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))>
#<alt (/ -1/4 (* n (* n n)))>
Outputs
#<alt (* n (+ (log i) (* -1 (log n))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))>
#<alt (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))>
#<alt (- (exp i) 1)>
#<alt (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)>
#<alt (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)>
#<alt (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)>
#<alt (- (exp i) 1)>
#<alt (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)>
#<alt (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)>
#<alt (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)>
#<alt i>
#<alt (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))>
#<alt (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))>
#<alt (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)>
#<alt (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)>
#<alt (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)>
#<alt (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1)>
#<alt (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)>
#<alt (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) 1)>
#<alt (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) 1)>
#<alt (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) 1)>
#<alt (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)>
#<alt (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))>
#<alt (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))>
#<alt (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))>
#<alt (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))>
#<alt (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))>
#<alt (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))>
#<alt (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))>
#<alt n>
#<alt (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)>
#<alt (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i)>
#<alt (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)>
#<alt (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)>
#<alt (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)>
#<alt (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))>
#<alt (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i))) i))>
#<alt (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) i)) (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i))>
#<alt (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))>
#<alt (* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))>
#<alt (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))>
#<alt (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))>
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#<alt n>
#<alt (+ n (* i n))>
#<alt (+ n (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))>
#<alt (+ n (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))>
#<alt (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))>
#<alt (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))>
#<alt (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))>
#<alt (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))>
#<alt (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))>
#<alt (+ (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))>
#<alt (+ (* -1 (/ (+ (* -1 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)) (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))>
#<alt (+ (* -1 (/ (+ (* -1 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) i))) i)) (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))>
#<alt n>
#<alt (* n (+ 1 (* n (+ (log i) (* -1 (log n))))))>
#<alt (* n (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))))>
#<alt (* n (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))>
#<alt (* n (exp i))>
#<alt (* n (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))))>
#<alt (* n (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))>
#<alt (* n (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))>
#<alt (* n (exp i))>
#<alt (* -1 (* n (+ (* -1 (exp i)) (* 1/2 (/ (* (pow i 2) (exp i)) n)))))>
#<alt (* -1 (* n (+ (* -1 (exp i)) (* -1 (/ (+ (* -1/2 (* (pow i 2) (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) n)))))>
#<alt (* -1 (* n (+ (* -1 (exp i)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) n)) (* -1/2 (* (pow i 2) (exp i)))) n)))))>
#<alt 1>
#<alt (+ 1 i)>
#<alt (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))>
#<alt (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))>
#<alt (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))>
#<alt 1>
#<alt (+ 1 (* n (+ (log i) (* -1 (log n)))))>
#<alt (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))>
#<alt (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))>
#<alt (exp i)>
#<alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))>
#<alt (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))>
#<alt (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))>
#<alt (exp i)>
#<alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))>
#<alt (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))>
#<alt (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))>
#<alt (/ i n)>
#<alt (* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))>
#<alt (* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))>
#<alt (* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))>
#<alt (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))>
#<alt (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (/ n i)))>
#<alt (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (/ n i))))>
#<alt (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (+ (* 1/3 (/ (pow n 3) (pow i 3))) (/ n i)))))>
#<alt (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))>
#<alt (+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (/ n i)))>
#<alt (+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (* -1 (/ (+ (* -1 n) (* 1/2 (/ (pow n 2) i))) i))))>
#<alt (+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (* -1 (/ (+ (* -1 n) (* -1 (/ (+ (* -1/2 (pow n 2)) (* 1/3 (/ (pow n 3) i))) i))) i))))>
#<alt (+ (log i) (* -1 (log n)))>
#<alt (+ (log i) (+ (* -1 (log n)) (/ n i)))>
#<alt (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i)))))>
#<alt (+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))>
#<alt (/ i n)>
#<alt (/ (+ i (* -1/2 (/ (pow i 2) n))) n)>
#<alt (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)>
#<alt (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)>
#<alt (/ i n)>
#<alt (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))>
#<alt (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))>
#<alt (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))>
#<alt (/ 1/3 (pow n 2))>
#<alt (/ 1/3 (pow n 2))>
#<alt (/ 1/3 (pow n 2))>
#<alt (/ 1/3 (pow n 2))>
#<alt (/ 1/3 (pow n 2))>
#<alt (/ 1/3 (pow n 2))>
#<alt (/ 1/3 (pow n 2))>
#<alt (/ 1/3 (pow n 2))>
#<alt (/ 1/3 (pow n 2))>
#<alt (/ 1/3 (pow n 2))>
#<alt (/ 1/3 (pow n 2))>
#<alt (/ 1/3 (pow n 2))>
#<alt (/ -1/4 (pow n 3))>
#<alt (/ (- (* 11/24 n) 1/4) (pow n 3))>
#<alt (/ (- (* n (+ 11/24 (* -1/4 n))) 1/4) (pow n 3))>
#<alt (/ (- (* n (+ 11/24 (* n (- (* 1/24 n) 1/4)))) 1/4) (pow n 3))>
#<alt 1/24>
#<alt (- 1/24 (* 1/4 (/ 1 n)))>
#<alt (- (+ 1/24 (/ 11/24 (pow n 2))) (* 1/4 (/ 1 n)))>
#<alt (- (+ 1/24 (/ 11/24 (pow n 2))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))>
#<alt 1/24>
#<alt (- 1/24 (* 1/4 (/ 1 n)))>
#<alt (+ 1/24 (* -1 (/ (- 1/4 (* 11/24 (/ 1 n))) n)))>
#<alt (+ 1/24 (* -1 (/ (+ 1/4 (* -1 (/ (- 11/24 (* 1/4 (/ 1 n))) n))) n)))>
#<alt (/ -1/4 (pow n 3))>
#<alt (/ -1/4 (pow n 3))>
#<alt (/ -1/4 (pow n 3))>
#<alt (/ -1/4 (pow n 3))>
#<alt (/ -1/4 (pow n 3))>
#<alt (/ -1/4 (pow n 3))>
#<alt (/ -1/4 (pow n 3))>
#<alt (/ -1/4 (pow n 3))>
#<alt (/ -1/4 (pow n 3))>
#<alt (/ -1/4 (pow n 3))>
#<alt (/ -1/4 (pow n 3))>
#<alt (/ -1/4 (pow n 3))>
Calls

114 calls:

TimeVariablePointExpression
7.0ms
n
@inf
(* 100 (+ (* i (+ (* n (- 1/2 (/ 1/2 n))) (* (* n i) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n))))))) n))
5.0ms
n
@0
(+ (* n (- 1/2 (/ 1/2 n))) (* (* n i) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n))))))
3.0ms
n
@inf
(+ (* (* n i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) n)
2.0ms
n
@0
(/ -1/4 (* n (* n n)))
1.0ms
i
@inf
(+ (* n (- 1/2 (/ 1/2 n))) (* (* n i) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n))))))

rewrite367.0ms (2.4%)

Memory
27.1MiB live, 566.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 164×*-lowering-*.f32
5 164×*-lowering-*.f64
4 340×accelerator-lowering-fma.f32
4 340×accelerator-lowering-fma.f64
2 320×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056357
1415353
24871353
08127310
Stop Event
1×iter limit
1×node limit
Counts
21 → 668
Calls
Call 1
Inputs
(- (exp (* n (log (+ 1 (/ i n))))) 1)
(/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (/ i n))
(* 100 (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (/ i n)))
(* n (log (+ 1 (/ i n))))
(* n 100)
(+ (* (* n i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) n)
(+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))
(* 100 (+ (* (* n i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) n))
(* n i)
(+ (* n (- 1/2 (/ 1/2 n))) (* (* n i) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n))))))
(* (* n i) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))))
(+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n))))
(* 100 (+ (* i (+ (* n (- 1/2 (/ 1/2 n))) (* (* n i) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n))))))) n))
(+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ n (neg i)))
(* 100 (+ (* (* (pow (+ 1 (/ i n)) n) n) (/ 1 i)) (/ n (neg i))))
(* (pow (+ 1 (/ i n)) n) n)
(pow (+ 1 (/ i n)) n)
(log (+ 1 (/ i n)))
(/ 1/3 (* n n))
(+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))
(/ -1/4 (* n (* n n)))
Outputs
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 n (/.f64 (log1p.f64 (/.f64 i n)) #s(literal 2 binary64)))) (exp.f64 (*.f64 n (/.f64 (log1p.f64 (/.f64 i n)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 i i) i) (*.f64 n (*.f64 n n)))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))) n) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) n) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 i i) i) (*.f64 n (*.f64 n n)))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 i i) i) (*.f64 n (*.f64 n n)))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(expm1.f64 (*.f64 (log.f64 (exp.f64 n)) (log1p.f64 (/.f64 i n))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(expm1.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n)))) (*.f64 n #s(literal 1/2 binary64))))
(expm1.f64 (*.f64 (log.f64 (exp.f64 (log1p.f64 (/.f64 i n)))) n))
(expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)))
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(pow.f64 (/.f64 (-.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 1/24 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 #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))))) #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 (/.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 #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)))))))
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(/.f64 #s(literal -1/4 binary64) (neg.f64 (neg.f64 (*.f64 n (*.f64 n n)))))
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(/.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 n (*.f64 n n))))
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(/.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) n) n) n)
(pow.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal -4 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 n #s(literal -4 binary64)) (*.f64 n n)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
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(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))))
(*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))))
(*.f64 (/.f64 #s(literal -1/4 binary64) n) (/.f64 #s(literal 1 binary64) (*.f64 n n)))
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 n (*.f64 n n)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (/.f64 #s(literal -1/4 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 (*.f64 n n) #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))) #s(literal -1/4 binary64))

simplify495.0ms (3.2%)

Memory
-30.7MiB live, 672.5MiB allocated
Algorithm
1×egg-herbie
Rules
9 228×accelerator-lowering-fma.f32
9 228×accelerator-lowering-fma.f64
7 052×+-lowering-+.f64
7 052×+-lowering-+.f32
4 780×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0133312603
1433211772
0806110942
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
Calls
Call 1
Inputs
(* n (+ (log i) (* -1 (log n))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))
(- (exp i) 1)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)
(- (exp i) 1)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
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(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)
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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)
(- (+ (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))))
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(/ (* 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)))
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(/ (* n (- (exp i) 1)) i)
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(* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))
(* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
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(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* 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)
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(* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))
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(/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (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)
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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
(+ 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)))
(/ i n)
(* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))
(* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))
(* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))
(+ (log (/ 1 n)) (* -1 (log (/ 1 i))))
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (/ n i)))
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (/ n i))))
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (+ (* 1/3 (/ (pow n 3) (pow i 3))) (/ n i)))))
(+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))
(+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (/ n i)))
(+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (* -1 (/ (+ (* -1 n) (* 1/2 (/ (pow n 2) i))) i))))
(+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (* -1 (/ (+ (* -1 n) (* -1 (/ (+ (* -1/2 (pow n 2)) (* 1/3 (/ (pow n 3) i))) i))) i))))
(+ (log i) (* -1 (log n)))
(+ (log i) (+ (* -1 (log n)) (/ n i)))
(+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i)))))
(+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))
(/ i n)
(/ (+ i (* -1/2 (/ (pow i 2) n))) n)
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)
(/ i n)
(* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ 1/3 (pow n 2))
(/ -1/4 (pow n 3))
(/ (- (* 11/24 n) 1/4) (pow n 3))
(/ (- (* n (+ 11/24 (* -1/4 n))) 1/4) (pow n 3))
(/ (- (* n (+ 11/24 (* n (- (* 1/24 n) 1/4)))) 1/4) (pow n 3))
1/24
(- 1/24 (* 1/4 (/ 1 n)))
(- (+ 1/24 (/ 11/24 (pow n 2))) (* 1/4 (/ 1 n)))
(- (+ 1/24 (/ 11/24 (pow n 2))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))
1/24
(- 1/24 (* 1/4 (/ 1 n)))
(+ 1/24 (* -1 (/ (- 1/4 (* 11/24 (/ 1 n))) n)))
(+ 1/24 (* -1 (/ (+ 1/4 (* -1 (/ (- 11/24 (* 1/4 (/ 1 n))) n))) n)))
(/ -1/4 (pow n 3))
(/ -1/4 (pow n 3))
(/ -1/4 (pow n 3))
(/ -1/4 (pow n 3))
(/ -1/4 (pow n 3))
(/ -1/4 (pow n 3))
(/ -1/4 (pow n 3))
(/ -1/4 (pow n 3))
(/ -1/4 (pow n 3))
(/ -1/4 (pow n 3))
(/ -1/4 (pow n 3))
(/ -1/4 (pow n 3))
Outputs
(* n (+ (log i) (* -1 (log n))))
(*.f64 n (-.f64 (log.f64 i) (log.f64 n)))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))
(*.f64 n (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i)) (-.f64 (log.f64 i) (log.f64 n))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))
(*.f64 n (fma.f64 n (fma.f64 n (+.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 (log.f64 i) i)) (/.f64 (log.f64 n) i)) (/.f64 #s(literal -1/2 binary64) (*.f64 i i))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i))) (-.f64 (log.f64 i) (log.f64 n))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))
(*.f64 n (fma.f64 n (fma.f64 n (+.f64 (-.f64 (fma.f64 n (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 4 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) (/.f64 #s(literal 1/2 binary64) (*.f64 i i)))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) (/.f64 (log.f64 i) i))) (/.f64 (log.f64 n) i)) (/.f64 #s(literal -1/2 binary64) (*.f64 i i))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i))) (-.f64 (log.f64 i) (log.f64 n))))
(- (exp i) 1)
(expm1.f64 i)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (expm1.f64 i))
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)
(+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (/.f64 (*.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 n n))) (expm1.f64 i))
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)
(+.f64 (fma.f64 (exp.f64 i) (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)) (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)))) (*.f64 n n)) (/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64) (fma.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64))))) (*.f64 n (*.f64 n n)))) (/.f64 (*.f64 (*.f64 (*.f64 i i) #s(literal -1/2 binary64)) (exp.f64 i)) n)) (expm1.f64 i))
(- (exp i) 1)
(expm1.f64 i)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (expm1.f64 i))
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
(+.f64 (/.f64 (fma.f64 (neg.f64 (exp.f64 i)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i (*.f64 i i)) (*.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)))) n) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (exp.f64 i))) (neg.f64 n)) (expm1.f64 i))
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
(+.f64 (/.f64 (-.f64 (*.f64 (*.f64 #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)) (neg.f64 n)) (expm1.f64 i))
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(*.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)))
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(*.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)))
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(*.f64 i (fma.f64 i (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)))
(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)
(expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)
(fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)
(+.f64 (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) (*.f64 (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)))) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1)
(+.f64 (fma.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 n (*.f64 n n)))) (*.f64 i i)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64))))) (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i))) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)
(expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) 1)
(fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) i) (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))))
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) 1)
(+.f64 (/.f64 (neg.f64 (*.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 n n (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 n (*.f64 n n)))) i)))) (neg.f64 i)) (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))))
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) 1)
(+.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 n n) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 n (*.f64 n n)))) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (*.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64)))) i))) i))) (neg.f64 i)) (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))))
(/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)
(/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)) i)
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))
(*.f64 (*.f64 n n) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) (/.f64 #s(literal 1 binary64) (*.f64 i i))) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))))
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))
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(-.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))
(/ i n)
(/.f64 i n)
(* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))
(*.f64 i (fma.f64 #s(literal -1/2 binary64) (/.f64 i (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)))
(* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))
(*.f64 i (fma.f64 i (fma.f64 #s(literal 1/3 binary64) (/.f64 i (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)))
(* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))
(*.f64 i (fma.f64 i (fma.f64 i (fma.f64 #s(literal -1/4 binary64) (/.f64 i (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)))
(+ (log (/ 1 n)) (* -1 (log (/ 1 i))))
(-.f64 (log.f64 i) (log.f64 n))
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (/ n i)))
(+.f64 (log.f64 i) (-.f64 (/.f64 n i) (log.f64 n)))
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (/ n i))))
(+.f64 (-.f64 (log.f64 i) (log.f64 n)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 n i)))
(+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (+ (* 1/3 (/ (pow n 3) (pow i 3))) (/ n i)))))
(-.f64 (+.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i))) (/.f64 n i)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 n n) (*.f64 i i)) (log.f64 i))) (log.f64 n))
(+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))
(-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))
(+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (/ n i)))
(+.f64 (neg.f64 (log.f64 (neg.f64 n))) (-.f64 (/.f64 n i) (log.f64 (/.f64 #s(literal -1 binary64) i))))
(+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (* -1 (/ (+ (* -1 n) (* 1/2 (/ (pow n 2) i))) i))))
(-.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 n n) i) (neg.f64 n)) i))
(+ (log (neg (/ 1 n))) (+ (* -1 (log (/ -1 i))) (* -1 (/ (+ (* -1 n) (* -1 (/ (+ (* -1/2 (pow n 2)) (* 1/3 (/ (pow n 3) i))) i))) i))))
(-.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 n (*.f64 n n)) i) (*.f64 #s(literal -1/2 binary64) (*.f64 n n))) (neg.f64 i)) n) i))
(+ (log i) (* -1 (log n)))
(-.f64 (log.f64 i) (log.f64 n))
(+ (log i) (+ (* -1 (log n)) (/ n i)))
(+.f64 (log.f64 i) (-.f64 (/.f64 n i) (log.f64 n)))
(+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i)))))
(fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 n (*.f64 i i)) (/.f64 #s(literal 1 binary64) i)) (-.f64 (log.f64 i) (log.f64 n)))
(+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))
(fma.f64 n (fma.f64 n (fma.f64 #s(literal 1/3 binary64) (/.f64 n (*.f64 i (*.f64 i i))) (/.f64 #s(literal -1/2 binary64) (*.f64 i i))) (/.f64 #s(literal 1 binary64) i)) (-.f64 (log.f64 i) (log.f64 n)))
(/ i n)
(/.f64 i n)
(/ (+ i (* -1/2 (/ (pow i 2) n))) n)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n) i) n)
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n n)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n) i)) n)
(/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)
(/.f64 (+.f64 (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))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 i i) n) (neg.f64 i)) (neg.f64 n))
(* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))
(/.f64 (-.f64 (neg.f64 i) (/.f64 (fma.f64 #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))
(/ -1/4 (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 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.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 (+.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)))))
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))
(/ -1/4 (pow n 3))
(/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))
(/ -1/4 (pow n 3))
(/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))
(/ -1/4 (pow n 3))
(/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))
(/ -1/4 (pow n 3))
(/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))
(/ -1/4 (pow n 3))
(/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))
(/ -1/4 (pow n 3))
(/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))
(/ -1/4 (pow n 3))
(/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))
(/ -1/4 (pow n 3))
(/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))
(/ -1/4 (pow n 3))
(/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))
(/ -1/4 (pow n 3))
(/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))
(/ -1/4 (pow n 3))
(/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))
(/ -1/4 (pow n 3))
(/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))

eval216.0ms (1.4%)

Memory
2.5MiB live, 264.3MiB allocated
Compiler

Compiled 48 964 to 4 128 computations (91.6% saved)

prune154.0ms (1%)

Memory
7.0MiB live, 297.9MiB allocated
Pruning

43 alts after pruning (41 fresh and 2 done)

PrunedKeptTotal
New1 153291 182
Fresh111223
Picked325
Done000
Total1 167431 210
Accuracy
99.9%
Counts
1 210 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶19.6%
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
19.9%
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
19.4%
(fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64)))
19.8%
(fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
19.7%
(fma.f64 n (*.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 100 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
52.4%
(fma.f64 n #s(literal 100 binary64) (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 (*.f64 n i) #s(literal 100 binary64))))
45.8%
(/.f64 (fma.f64 (*.f64 n i) #s(literal 100 binary64) #s(literal 0 binary64)) i)
22.1%
(/.f64 (fma.f64 n (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 i i)) (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64))) (*.f64 n n))
38.3%
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
▶67.3%
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
7.7%
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
16.7%
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)
▶21.1%
(/.f64 #s(literal 0 binary64) i)
25.7%
(+.f64 (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
28.0%
(*.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))
28.4%
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
67.4%
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) #s(literal 100 binary64))
28.3%
(*.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))
56.3%
(*.f64 (*.f64 n #s(literal 100 binary64)) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
56.7%
(*.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)))
▶67.7%
(*.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))))
53.3%
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) n) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
✓49.1%
(*.f64 n #s(literal 100 binary64))
19.7%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i)))
29.8%
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (exp.f64 i) n) (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
56.7%
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) n))
▶12.9%
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
56.3%
(*.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 #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) n))
28.6%
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (*.f64 i (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n)) n))
56.3%
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) n))
52.0%
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
53.3%
(*.f64 #s(literal 100 binary64) (fma.f64 i (neg.f64 (*.f64 n (+.f64 (neg.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (/.f64 (fma.f64 i (/.f64 (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)) n) (fma.f64 (fma.f64 i #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (neg.f64 i) #s(literal -1/2 binary64))) n))) #s(literal -1/2 binary64)))) n))
14.6%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i (neg.f64 n)) i) (*.f64 i (/.f64 i (neg.f64 n)))))
14.8%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i i)))
16.0%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (*.f64 i i)))
41.4%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
22.1%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
33.7%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (exp.f64 i) #s(literal 1 binary64)) (/.f64 i n)))
7.4%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n))
17.2%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
✓79.0%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
16.5%
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
56.7%
(*.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
Compiler

Compiled 1 624 to 1 047 computations (35.5% saved)

simplify257.0ms (1.7%)

Memory
4.0MiB live, 350.4MiB 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) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
✓cost-diff0
(neg.f64 n)
✓cost-diff0
(/.f64 (neg.f64 n) i)
✓cost-diff1152
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
✓cost-diff0
(expm1.f64 i)
✓cost-diff0
(*.f64 n (expm1.f64 i))
✓cost-diff0
(*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64))
✓cost-diff0
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
✓cost-diff0
(/.f64 n (neg.f64 i))
✓cost-diff0
(/.f64 #s(literal 1 binary64) i)
✓cost-diff320
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
✓cost-diff1920
(fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i)))
✓cost-diff704
(/.f64 #s(literal 0 binary64) i)
✓cost-diff0
(*.f64 i (exp.f64 i))
✓cost-diff0
(/.f64 (*.f64 i (exp.f64 i)) n)
✓cost-diff384
(*.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))))
✓cost-diff5952
(fma.f64 (/.f64 (*.f64 i (exp.f64 i)) n) #s(literal -50 binary64) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
Rules
7 928×accelerator-lowering-fma.f32
7 928×accelerator-lowering-fma.f64
4 272×*-lowering-*.f32
4 272×*-lowering-*.f64
2 438×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035185
192183
2203180
3616178
41445178
52270177
64395177
77820177
08066157
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* n (+ (* (/ (* i (exp i)) n) -50) (* (/ (- (exp i) 1) i) 100)))
n
(+ (* (/ (* i (exp i)) n) -50) (* (/ (- (exp i) 1) i) 100))
(/ (* i (exp i)) n)
(* i (exp i))
i
(exp i)
-50
(* (/ (- (exp i) 1) i) 100)
(/ (- (exp i) 1) i)
(- (exp i) 1)
100
(/ 0 i)
0
i
(* 100 (+ (* n (/ 1 i)) (/ n (neg i))))
100
(+ (* n (/ 1 i)) (/ n (neg i)))
n
(/ 1 i)
1
i
(/ n (neg i))
(neg i)
(/ (* (* n (- (exp i) 1)) 100) i)
(* (* n (- (exp i) 1)) 100)
(* n (- (exp i) 1))
n
(- (exp i) 1)
i
100
(+ (* (/ (neg n) i) 100) (* (pow (+ 1 (/ i n)) n) (* (/ n i) 100)))
(/ (neg n) i)
(neg n)
n
i
100
(* (pow (+ 1 (/ i n)) n) (* (/ n i) 100))
(pow (+ 1 (/ i n)) n)
(+ 1 (/ i n))
1
(/ i n)
(* (/ n i) 100)
(/ n i)
Outputs
(* n (+ (* (/ (* i (exp i)) n) -50) (* (/ (- (exp i) 1) i) 100)))
(fma.f64 n (/.f64 #s(literal -100 binary64) i) (*.f64 (exp.f64 i) (fma.f64 n (/.f64 #s(literal 100 binary64) i) (*.f64 i #s(literal -50 binary64)))))
n
(+ (* (/ (* i (exp i)) n) -50) (* (/ (- (exp i) 1) i) 100))
(fma.f64 (exp.f64 i) (fma.f64 i (/.f64 #s(literal -50 binary64) n) (/.f64 #s(literal 100 binary64) i)) (/.f64 #s(literal -100 binary64) i))
(/ (* i (exp i)) n)
(/.f64 (*.f64 i (exp.f64 i)) n)
(* i (exp i))
(*.f64 i (exp.f64 i))
i
(exp i)
(exp.f64 i)
-50
#s(literal -50 binary64)
(* (/ (- (exp i) 1) i) 100)
(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)
(/ (- (exp i) 1) i)
(/.f64 (expm1.f64 i) i)
(- (exp i) 1)
(expm1.f64 i)
100
#s(literal 100 binary64)
(/ 0 i)
#s(literal 0 binary64)
0
#s(literal 0 binary64)
i
(* 100 (+ (* n (/ 1 i)) (/ n (neg i))))
#s(literal 0 binary64)
100
#s(literal 100 binary64)
(+ (* n (/ 1 i)) (/ n (neg i)))
#s(literal 0 binary64)
n
(/ 1 i)
(/.f64 #s(literal 1 binary64) i)
1
#s(literal 1 binary64)
i
(/ n (neg i))
(/.f64 (neg.f64 n) i)
(neg i)
(neg.f64 i)
(/ (* (* n (- (exp i) 1)) 100) i)
(*.f64 (expm1.f64 i) (*.f64 #s(literal 100 binary64) (/.f64 n i)))
(* (* n (- (exp i) 1)) 100)
(*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64)))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
n
(- (exp i) 1)
(expm1.f64 i)
i
100
#s(literal 100 binary64)
(+ (* (/ (neg n) i) 100) (* (pow (+ 1 (/ i n)) n) (* (/ n i) 100)))
(*.f64 (/.f64 n i) (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64)))
(/ (neg n) i)
(/.f64 (neg.f64 n) i)
(neg n)
(neg.f64 n)
n
i
100
#s(literal 100 binary64)
(* (pow (+ 1 (/ i n)) n) (* (/ n i) 100))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 #s(literal 100 binary64) (/.f64 n i)))
(pow (+ 1 (/ i n)) n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+ 1 (/ i n))
(+.f64 #s(literal 1 binary64) (/.f64 i n))
1
#s(literal 1 binary64)
(/ i n)
(/.f64 i n)
(* (/ n i) 100)
(*.f64 #s(literal 100 binary64) (/.f64 n i))
(/ n i)
(/.f64 n i)

localize272.0ms (1.7%)

Memory
22.4MiB live, 467.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
✓accuracy99.7%
(*.f64 (/.f64 n i) #s(literal 100 binary64))
✓accuracy85.2%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓accuracy46.7%
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
✓accuracy100.0%
(expm1.f64 i)
✓accuracy100.0%
(*.f64 n (expm1.f64 i))
✓accuracy99.7%
(*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64))
✓accuracy87.4%
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) i)
✓accuracy100.0%
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
✓accuracy100.0%
(neg.f64 i)
✓accuracy24.7%
(fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i)))
✓accuracy100.0%
(/.f64 #s(literal 0 binary64) i)
✓accuracy100.0%
(/.f64 (expm1.f64 i) i)
✓accuracy99.9%
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
✓accuracy99.9%
(*.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))))
✓accuracy99.6%
(fma.f64 (/.f64 (*.f64 i (exp.f64 i)) n) #s(literal -50 binary64) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
Samples
156.0ms157×2valid
23.0ms17×3valid
16.0ms4×5exit
12.0ms46×0exit
12.0ms25×1valid
2.0ms7×0valid
Compiler

Compiled 186 to 37 computations (80.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 181.0ms
ival-pow: 53.0ms (29.4% of total)
ival-mult: 48.0ms (26.6% of total)
ival-div: 34.0ms (18.8% of total)
ival-expm1: 13.0ms (7.2% of total)
adjust: 11.0ms (6.1% of total)
ival-add: 11.0ms (6.1% of total)
ival-neg: 5.0ms (2.8% of total)
ival-exp: 3.0ms (1.7% of total)
exact: 1.0ms (0.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series36.0ms (0.2%)

Memory
-25.8MiB live, 49.7MiB allocated
Counts
22 → 432
Calls
Call 1
Inputs
#<alt (+ (* (/ (* i (exp i)) n) -50) (* (/ (- (exp i) 1) i) 100))>
#<alt (* n (+ (* (/ (* i (exp i)) n) -50) (* (/ (- (exp i) 1) i) 100)))>
#<alt (/ (* i (exp i)) n)>
#<alt (* i (exp i))>
#<alt (/ 0 i)>
#<alt (+ (* n (/ 1 i)) (/ n (neg i)))>
#<alt (* 100 (+ (* n (/ 1 i)) (/ n (neg i))))>
#<alt (/ 1 i)>
#<alt (/ n (neg i))>
#<alt (/ (* (* n (- (exp i) 1)) 100) i)>
#<alt (* (* n (- (exp i) 1)) 100)>
#<alt (* n (- (exp i) 1))>
#<alt (- (exp i) 1)>
#<alt (+ (* (/ (neg n) i) 100) (* (pow (+ 1 (/ i n)) n) (* (/ n i) 100)))>
#<alt (/ (neg n) i)>
#<alt (neg n)>
#<alt (* (pow (+ 1 (/ i n)) n) (* (/ n i) 100))>
#<alt (* (/ (- (exp i) 1) i) 100)>
#<alt (/ (- (exp i) 1) i)>
#<alt (neg i)>
#<alt (pow (+ 1 (/ i n)) n)>
#<alt (* (/ n i) 100)>
Outputs
#<alt 100>
#<alt (+ 100 (* i (- 50 (* 50 (/ 1 n)))))>
#<alt (+ 100 (* i (- (+ 50 (* i (- 50/3 (* 50 (/ 1 n))))) (* 50 (/ 1 n)))))>
#<alt (+ 100 (* i (- (+ 50 (* i (- (+ 50/3 (* i (- 25/6 (* 25 (/ 1 n))))) (* 50 (/ 1 n))))) (* 50 (/ 1 n)))))>
#<alt (* -50 (/ (* i (exp i)) n))>
#<alt (* i (+ (* -50 (/ (exp i) n)) (* 100 (/ (- (exp i) 1) (pow i 2)))))>
#<alt (* i (+ (* -50 (/ (exp i) n)) (* 100 (/ (- (exp i) 1) (pow i 2)))))>
#<alt (* i (+ (* -50 (/ (exp i) n)) (* 100 (/ (- (exp i) 1) (pow i 2)))))>
#<alt (* -50 (/ (* i (exp i)) n))>
#<alt (* -1 (* i (+ (* -100 (/ (- (exp i) 1) (pow i 2))) (* 50 (/ (exp i) n)))))>
#<alt (* -1 (* i (+ (* -100 (/ (- (exp i) 1) (pow i 2))) (* 50 (/ (exp i) n)))))>
#<alt (* -1 (* i (+ (* -100 (/ (- (exp i) 1) (pow i 2))) (* 50 (/ (exp i) n)))))>
#<alt (* -50 (/ (* i (exp i)) n))>
#<alt (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* n (- (exp i) 1)) i))) n)>
#<alt (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* n (- (exp i) 1)) i))) n)>
#<alt (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* n (- (exp i) 1)) i))) n)>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))>
#<alt (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))>
#<alt (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))>
#<alt (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))>
#<alt (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))>
#<alt (* -50 (* i (exp i)))>
#<alt (+ (* -50 (* i (exp i))) (* 100 (/ (* n (- (exp i) 1)) i)))>
#<alt (+ (* -50 (* i (exp i))) (* 100 (/ (* n (- (exp i) 1)) i)))>
#<alt (+ (* -50 (* i (exp i))) (* 100 (/ (* n (- (exp i) 1)) i)))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))>
#<alt (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))>
#<alt (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))>
#<alt (* 100 n)>
#<alt (+ (* 100 n) (* i (* n (- 50 (* 50 (/ 1 n))))))>
#<alt (+ (* 100 n) (* i (+ (* i (* n (- 50/3 (* 50 (/ 1 n))))) (* n (- 50 (* 50 (/ 1 n)))))))>
#<alt (+ (* 100 n) (* i (+ (* i (+ (* i (* n (- 25/6 (* 25 (/ 1 n))))) (* n (- 50/3 (* 50 (/ 1 n)))))) (* n (- 50 (* 50 (/ 1 n)))))))>
#<alt (* -50 (* i (exp i)))>
#<alt (* i (+ (* -50 (exp i)) (* 100 (/ (* n (- (exp i) 1)) (pow i 2)))))>
#<alt (* i (+ (* -50 (exp i)) (* 100 (/ (* n (- (exp i) 1)) (pow i 2)))))>
#<alt (* i (+ (* -50 (exp i)) (* 100 (/ (* n (- (exp i) 1)) (pow i 2)))))>
#<alt (* -50 (* i (exp i)))>
#<alt (* -1 (* i (+ (* -100 (/ (* n (- (exp i) 1)) (pow i 2))) (* 50 (exp i)))))>
#<alt (* -1 (* i (+ (* -100 (/ (* n (- (exp i) 1)) (pow i 2))) (* 50 (exp i)))))>
#<alt (* -1 (* i (+ (* -100 (/ (* n (- (exp i) 1)) (pow i 2))) (* 50 (exp i)))))>
#<alt (/ i n)>
#<alt (* i (+ (/ 1 n) (/ i n)))>
#<alt (* i (+ (* i (+ (* 1/2 (/ i n)) (/ 1 n))) (/ 1 n)))>
#<alt (* i (+ (* i (+ (* i (+ (* 1/6 (/ i n)) (* 1/2 (/ 1 n)))) (/ 1 n))) (/ 1 n)))>
#<alt (/ (* i (exp i)) n)>
#<alt (/ (* i (exp i)) n)>
#<alt (/ (* i (exp i)) n)>
#<alt (/ (* i (exp i)) n)>
#<alt (/ (* i (exp i)) n)>
#<alt (/ (* i (exp i)) n)>
#<alt (/ (* i (exp i)) n)>
#<alt (/ (* i (exp i)) n)>
#<alt (/ (* i (exp i)) n)>
#<alt (/ (* i (exp i)) n)>
#<alt (/ (* i (exp i)) n)>
#<alt (/ (* i (exp i)) n)>
#<alt (/ (* i (exp i)) n)>
#<alt (/ (* i (exp i)) n)>
#<alt (/ (* i (exp i)) n)>
#<alt (/ (* i (exp i)) n)>
#<alt (/ (* i (exp i)) n)>
#<alt (/ (* i (exp i)) n)>
#<alt (/ (* i (exp i)) n)>
#<alt (/ (* i (exp i)) n)>
#<alt i>
#<alt (* i (+ 1 i))>
#<alt (* i (+ 1 (* i (+ 1 (* 1/2 i)))))>
#<alt (* i (+ 1 (* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))))>
#<alt (* i (exp i))>
#<alt (* i (exp i))>
#<alt (* i (exp i))>
#<alt (* i (exp i))>
#<alt (* i (exp i))>
#<alt (* i (exp i))>
#<alt (* i (exp i))>
#<alt (* i (exp i))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (/ (+ n (* -1 n)) i)>
#<alt (/ (+ n (* -1 n)) i)>
#<alt (/ (+ n (* -1 n)) i)>
#<alt (/ (+ n (* -1 n)) i)>
#<alt (/ (+ n (* -1 n)) i)>
#<alt (/ (+ n (* -1 n)) i)>
#<alt (/ (+ n (* -1 n)) i)>
#<alt (/ (+ n (* -1 n)) i)>
#<alt (* -1 (/ (+ n (* -1 n)) i))>
#<alt (* -1 (/ (+ n (* -1 n)) i))>
#<alt (* -1 (/ (+ n (* -1 n)) i))>
#<alt (* -1 (/ (+ n (* -1 n)) i))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* 100 (/ (+ n (* -1 n)) i))>
#<alt (* 100 (/ (+ n (* -1 n)) i))>
#<alt (* 100 (/ (+ n (* -1 n)) i))>
#<alt (* 100 (/ (+ n (* -1 n)) i))>
#<alt (* 100 (/ (+ n (* -1 n)) i))>
#<alt (* 100 (/ (+ n (* -1 n)) i))>
#<alt (* 100 (/ (+ n (* -1 n)) i))>
#<alt (* 100 (/ (+ n (* -1 n)) i))>
#<alt (* -100 (/ (+ n (* -1 n)) i))>
#<alt (* -100 (/ (+ n (* -1 n)) i))>
#<alt (* -100 (/ (+ n (* -1 n)) i))>
#<alt (* -100 (/ (+ n (* -1 n)) i))>
#<alt (/ 1 i)>
#<alt (/ 1 i)>
#<alt (/ 1 i)>
#<alt (/ 1 i)>
#<alt (/ 1 i)>
#<alt (/ 1 i)>
#<alt (/ 1 i)>
#<alt (/ 1 i)>
#<alt (/ 1 i)>
#<alt (/ 1 i)>
#<alt (/ 1 i)>
#<alt (/ 1 i)>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 n)>
#<alt (+ (* 50 (* i n)) (* 100 n))>
#<alt (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))>
#<alt (+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (* n (- (exp i) 1)))>
#<alt (* 100 (* n (- (exp i) 1)))>
#<alt (* 100 (* n (- (exp i) 1)))>
#<alt (* 100 (* n (- (exp i) 1)))>
#<alt (* 100 (* n (- (exp i) 1)))>
#<alt (* 100 (* n (- (exp i) 1)))>
#<alt (* 100 (* n (- (exp i) 1)))>
#<alt (* 100 (* n (- (exp i) 1)))>
#<alt (* 100 (* n (- (exp i) 1)))>
#<alt (* 100 (* n (- (exp i) 1)))>
#<alt (* 100 (* n (- (exp i) 1)))>
#<alt (* 100 (* n (- (exp i) 1)))>
#<alt (* 100 (* i n))>
#<alt (* i (+ (* 50 (* i n)) (* 100 n)))>
#<alt (* i (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n)))))>
#<alt (* i (+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n)))))))>
#<alt (* 100 (* n (- (exp i) 1)))>
#<alt (* 100 (* n (- (exp i) 1)))>
#<alt (* 100 (* n (- (exp i) 1)))>
#<alt (* 100 (* n (- (exp i) 1)))>
#<alt (* 100 (* n (- (exp i) 1)))>
#<alt (* 100 (* n (- (exp i) 1)))>
#<alt (* 100 (* n (- (exp i) 1)))>
#<alt (* 100 (* n (- (exp i) 1)))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* i n)>
#<alt (* i (+ n (* 1/2 (* i n))))>
#<alt (* i (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n)))))>
#<alt (* i (+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n)))))))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt i>
#<alt (* i (+ 1 (* 1/2 i)))>
#<alt (* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))>
#<alt (* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (* 100 (* (pow n 2) (+ (* -1 (/ (log n) i)) (/ (log i) i))))>
#<alt (* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i)))))>
#<alt (* (pow n 2) (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))>
#<alt (* (pow n 2) (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))>
#<alt (* n (- (* 100 (/ (exp i) i)) (* 100 (/ 1 i))))>
#<alt (* n (- (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (exp i) i))) (* 100 (/ 1 i))))>
#<alt (* n (- (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (* 100 (/ 1 i))))>
#<alt (* n (- (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))))) (* 100 (/ 1 i))))>
#<alt (* -1 (* n (+ (* -100 (/ (exp i) i)) (* 100 (/ 1 i)))))>
#<alt (* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* 50 (/ (* i (exp i)) n)) (* 100 (/ 1 i))))))>
#<alt (* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (/ 1 i))))))>
#<alt (* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (/ 1 i))))))>
#<alt (/ (+ (* -100 n) (* 100 n)) i)>
#<alt (/ (+ (* -100 n) (+ (* 100 n) (* 100 (* i n)))) i)>
#<alt (/ (+ (* -100 n) (+ (* 100 n) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i)>
#<alt (/ (+ (* -100 n) (+ (* 100 n) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))) i)>
#<alt (/ (+ (* -100 n) (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) i)>
#<alt (/ (+ (* -100 n) (+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)>
#<alt (/ (+ (* -100 n) (+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)>
#<alt (/ (+ (* -100 n) (+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))))) i)>
#<alt (* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 n)) i))>
#<alt (* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (+ (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) (* 100 n))) i))>
#<alt (* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (+ (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)) (* 100 n))) i))>
#<alt (* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i)) (* 100 n))) i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* 100 (/ n i))>
#<alt (/ (+ (* 100 n) (* 100 (* i n))) i)>
#<alt (/ (+ (* 100 n) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i)>
#<alt (/ (+ (* 100 n) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i)>
#<alt (* 100 (/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))>
#<alt (/ (+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)>
#<alt (/ (+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)>
#<alt (/ (+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)>
#<alt (* 100 (/ (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))>
#<alt (* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))>
#<alt (* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i))>
#<alt (* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i))>
#<alt (* 100 (/ n i))>
#<alt (* n (+ (* 100 (* n (+ (* -1 (/ (log n) i)) (/ (log i) i)))) (* 100 (/ 1 i))))>
#<alt (* n (+ (* n (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))))) (* 100 (/ 1 i))))>
#<alt (* n (+ (* n (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))))))) (* 100 (/ 1 i))))>
#<alt (* 100 (/ (* n (exp i)) i))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (exp i) i))))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))))))>
#<alt (* 100 (/ (* n (exp i)) i))>
#<alt (* -1 (* n (+ (* -100 (/ (exp i) i)) (* 50 (/ (* i (exp i)) n)))))>
#<alt (* -1 (* n (+ (* -100 (/ (exp i) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))>
#<alt (* -1 (* n (+ (* -100 (/ (exp i) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))>
#<alt 100>
#<alt (+ 100 (* 50 i))>
#<alt (+ 100 (* i (+ 50 (* 50/3 i))))>
#<alt (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt 1>
#<alt (+ 1 (* 1/2 i))>
#<alt (+ 1 (* i (+ 1/2 (* 1/6 i))))>
#<alt (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))>
#<alt (/ (- (exp i) 1) i)>
#<alt (/ (- (exp i) 1) i)>
#<alt (/ (- (exp i) 1) i)>
#<alt (/ (- (exp i) 1) i)>
#<alt (/ (- (exp i) 1) i)>
#<alt (/ (- (exp i) 1) i)>
#<alt (/ (- (exp i) 1) i)>
#<alt (/ (- (exp i) 1) i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt 1>
#<alt (+ 1 i)>
#<alt (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))>
#<alt (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))>
#<alt (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))>
#<alt 1>
#<alt (+ 1 (* n (+ (log i) (* -1 (log n)))))>
#<alt (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))>
#<alt (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))>
#<alt (exp i)>
#<alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))>
#<alt (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))>
#<alt (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))>
#<alt (exp i)>
#<alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))>
#<alt (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))>
#<alt (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
Calls

108 calls:

TimeVariablePointExpression
4.0ms
i
@-inf
(+ (* (/ (* i (exp i)) n) -50) (* (/ (- (exp i) 1) i) 100))
1.0ms
i
@inf
(/ (* (* n (- (exp i) 1)) 100) i)
1.0ms
i
@-inf
(/ (* (* n (- (exp i) 1)) 100) i)
1.0ms
i
@inf
(+ (* (/ (* i (exp i)) n) -50) (* (/ (- (exp i) 1) i) 100))
1.0ms
n
@0
(+ (* (/ (* i (exp i)) n) -50) (* (/ (- (exp i) 1) i) 100))

rewrite409.0ms (2.6%)

Memory
12.0MiB live, 534.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 504×accelerator-lowering-fma.f32
7 504×accelerator-lowering-fma.f64
4 832×/-lowering-/.f32
4 832×/-lowering-/.f64
4 412×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035167
1200163
21951159
08545140
Stop Event
1×iter limit
1×node limit
Counts
22 → 909
Calls
Call 1
Inputs
(+ (* (/ (* i (exp i)) n) -50) (* (/ (- (exp i) 1) i) 100))
(* n (+ (* (/ (* i (exp i)) n) -50) (* (/ (- (exp i) 1) i) 100)))
(/ (* i (exp i)) n)
(* i (exp i))
(/ 0 i)
(+ (* n (/ 1 i)) (/ n (neg i)))
(* 100 (+ (* n (/ 1 i)) (/ n (neg i))))
(/ 1 i)
(/ n (neg i))
(/ (* (* n (- (exp i) 1)) 100) i)
(* (* n (- (exp i) 1)) 100)
(* n (- (exp i) 1))
(- (exp i) 1)
(+ (* (/ (neg n) i) 100) (* (pow (+ 1 (/ i n)) n) (* (/ n i) 100)))
(/ (neg n) i)
(neg n)
(* (pow (+ 1 (/ i n)) n) (* (/ n i) 100))
(* (/ (- (exp i) 1) i) 100)
(/ (- (exp i) 1) i)
(neg i)
(pow (+ 1 (/ i n)) n)
(* (/ n i) 100)
Outputs
(+.f64 (*.f64 i (*.f64 (/.f64 (exp.f64 i) n) #s(literal -50 binary64))) (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i))
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(*.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 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (+.f64 (/.f64 (exp.f64 i) i) (/.f64 #s(literal 1 binary64) i))))
(*.f64 (*.f64 (expm1.f64 i) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) i))
(*.f64 (*.f64 (expm1.f64 i) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) i))
(*.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) i)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))))
(*.f64 (*.f64 (expm1.f64 (+.f64 i i)) (/.f64 #s(literal 1 binary64) i)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.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 (exp.f64 i) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 i (expm1.f64 (+.f64 i i))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(*.f64 (/.f64 (expm1.f64 i) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) i))
(*.f64 (/.f64 (expm1.f64 i) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) i))
(*.f64 (/.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) i) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))) i))
(*.f64 (/.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))) (neg.f64 i)))
(*.f64 (/.f64 (expm1.f64 (+.f64 i i)) i) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 i) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (expm1.f64 (+.f64 i i)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i))
(*.f64 (/.f64 (expm1.f64 (+.f64 i i)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (neg.f64 i)))
(*.f64 (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i) (/.f64 (expm1.f64 i) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (neg.f64 i))
(-.f64 #s(literal 0 binary64) i)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 i i) i))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 i i (*.f64 #s(literal 0 binary64) i)))) (/.f64 (*.f64 i (*.f64 i i)) (+.f64 #s(literal 0 binary64) (fma.f64 i i (*.f64 #s(literal 0 binary64) i)))))
(neg.f64 i)
(/.f64 i #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 i i (*.f64 #s(literal 0 binary64) i))) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i)))))
(/.f64 #s(literal 1 binary64) (/.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i))))
(/.f64 (neg.f64 i) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i))) (+.f64 #s(literal 0 binary64) (fma.f64 i i (*.f64 #s(literal 0 binary64) i))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) i)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 i i (*.f64 #s(literal 0 binary64) i)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i))) (neg.f64 i))
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 i (*.f64 i i)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 i i) (*.f64 #s(literal 0 binary64) (neg.f64 i)))))
(*.f64 i #s(literal -1 binary64))
(*.f64 (neg.f64 i) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) i)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 i i (*.f64 #s(literal 0 binary64) i)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) i))
(exp.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n)))) (*.f64 n #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)) (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (neg.f64 n)))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 (*.f64 n #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n))) (*.f64 n #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal 1 binary64)) n)
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) #s(literal -1 binary64)) (neg.f64 n))
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))) n))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) n))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 i n) #s(literal 1/100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i n) #s(literal 100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 i n) #s(literal 1/100 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 100 binary64) (/.f64 i n))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 i n) #s(literal 1/100 binary64))))
(/.f64 (*.f64 n #s(literal 100 binary64)) i)
(/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) (neg.f64 i))
(/.f64 #s(literal -100 binary64) (/.f64 i (neg.f64 n)))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n))) i)
(pow.f64 (*.f64 (/.f64 i n) #s(literal 1/100 binary64)) #s(literal -1 binary64))
(*.f64 n (/.f64 #s(literal 100 binary64) i))
(*.f64 n (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(*.f64 #s(literal 100 binary64) (/.f64 n i))
(*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 (/.f64 n i) #s(literal 100 binary64))
(*.f64 (/.f64 n (neg.f64 i)) #s(literal -100 binary64))
(*.f64 (neg.f64 n) (/.f64 #s(literal 100 binary64) (neg.f64 i)))
(*.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 (*.f64 n #s(literal 100 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) i))
(*.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) (/.f64 #s(literal -1 binary64) i))
(*.f64 (/.f64 #s(literal 100 binary64) i) n)
(*.f64 #s(literal -100 binary64) (/.f64 n (neg.f64 i)))

simplify507.0ms (3.3%)

Memory
4.7MiB live, 374.2MiB allocated
Algorithm
1×egg-herbie
Rules
11 092×accelerator-lowering-fma.f32
11 092×accelerator-lowering-fma.f64
6 916×*-lowering-*.f32
6 916×*-lowering-*.f64
3 096×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06005129
119154887
261284851
081364357
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
100
(+ 100 (* i (- 50 (* 50 (/ 1 n)))))
(+ 100 (* i (- (+ 50 (* i (- 50/3 (* 50 (/ 1 n))))) (* 50 (/ 1 n)))))
(+ 100 (* i (- (+ 50 (* i (- (+ 50/3 (* i (- 25/6 (* 25 (/ 1 n))))) (* 50 (/ 1 n))))) (* 50 (/ 1 n)))))
(* -50 (/ (* i (exp i)) n))
(* i (+ (* -50 (/ (exp i) n)) (* 100 (/ (- (exp i) 1) (pow i 2)))))
(* i (+ (* -50 (/ (exp i) n)) (* 100 (/ (- (exp i) 1) (pow i 2)))))
(* i (+ (* -50 (/ (exp i) n)) (* 100 (/ (- (exp i) 1) (pow i 2)))))
(* -50 (/ (* i (exp i)) n))
(* -1 (* i (+ (* -100 (/ (- (exp i) 1) (pow i 2))) (* 50 (/ (exp i) n)))))
(* -1 (* i (+ (* -100 (/ (- (exp i) 1) (pow i 2))) (* 50 (/ (exp i) n)))))
(* -1 (* i (+ (* -100 (/ (- (exp i) 1) (pow i 2))) (* 50 (/ (exp i) n)))))
(* -50 (/ (* i (exp i)) n))
(/ (+ (* -50 (* i (exp i))) (* 100 (/ (* n (- (exp i) 1)) i))) n)
(/ (+ (* -50 (* i (exp i))) (* 100 (/ (* n (- (exp i) 1)) i))) n)
(/ (+ (* -50 (* i (exp i))) (* 100 (/ (* n (- (exp i) 1)) i))) n)
(* 100 (/ (- (exp i) 1) i))
(+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))
(+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))
(+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))
(* 100 (/ (- (exp i) 1) i))
(+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))
(+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))
(+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))
(* -50 (* i (exp i)))
(+ (* -50 (* i (exp i))) (* 100 (/ (* n (- (exp i) 1)) i)))
(+ (* -50 (* i (exp i))) (* 100 (/ (* n (- (exp i) 1)) i)))
(+ (* -50 (* i (exp i))) (* 100 (/ (* n (- (exp i) 1)) i)))
(* 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) i))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 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)) (* 50 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))
(* 100 n)
(+ (* 100 n) (* i (* n (- 50 (* 50 (/ 1 n))))))
(+ (* 100 n) (* i (+ (* i (* n (- 50/3 (* 50 (/ 1 n))))) (* n (- 50 (* 50 (/ 1 n)))))))
(+ (* 100 n) (* i (+ (* i (+ (* i (* n (- 25/6 (* 25 (/ 1 n))))) (* n (- 50/3 (* 50 (/ 1 n)))))) (* n (- 50 (* 50 (/ 1 n)))))))
(* -50 (* i (exp i)))
(* i (+ (* -50 (exp i)) (* 100 (/ (* n (- (exp i) 1)) (pow i 2)))))
(* i (+ (* -50 (exp i)) (* 100 (/ (* n (- (exp i) 1)) (pow i 2)))))
(* i (+ (* -50 (exp i)) (* 100 (/ (* n (- (exp i) 1)) (pow i 2)))))
(* -50 (* i (exp i)))
(* -1 (* i (+ (* -100 (/ (* n (- (exp i) 1)) (pow i 2))) (* 50 (exp i)))))
(* -1 (* i (+ (* -100 (/ (* n (- (exp i) 1)) (pow i 2))) (* 50 (exp i)))))
(* -1 (* i (+ (* -100 (/ (* n (- (exp i) 1)) (pow i 2))) (* 50 (exp i)))))
(/ i n)
(* i (+ (/ 1 n) (/ i n)))
(* i (+ (* i (+ (* 1/2 (/ i n)) (/ 1 n))) (/ 1 n)))
(* i (+ (* i (+ (* i (+ (* 1/6 (/ i n)) (* 1/2 (/ 1 n)))) (/ 1 n))) (/ 1 n)))
(/ (* i (exp i)) n)
(/ (* i (exp i)) n)
(/ (* i (exp i)) n)
(/ (* i (exp i)) n)
(/ (* i (exp i)) n)
(/ (* i (exp i)) n)
(/ (* i (exp i)) n)
(/ (* i (exp i)) n)
(/ (* i (exp i)) n)
(/ (* i (exp i)) n)
(/ (* i (exp i)) n)
(/ (* i (exp i)) n)
(/ (* i (exp i)) n)
(/ (* i (exp i)) n)
(/ (* i (exp i)) n)
(/ (* i (exp i)) n)
(/ (* i (exp i)) n)
(/ (* i (exp i)) n)
(/ (* i (exp i)) n)
(/ (* i (exp i)) n)
i
(* i (+ 1 i))
(* i (+ 1 (* i (+ 1 (* 1/2 i)))))
(* i (+ 1 (* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
(* i (exp i))
(* i (exp i))
(* i (exp i))
(* i (exp i))
(* i (exp i))
(* i (exp i))
(* i (exp i))
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0
0
0
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0
0
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0
0
0
0
0
0
0
0
0
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(/ (+ n (* -1 n)) i)
(/ (+ n (* -1 n)) i)
(/ (+ n (* -1 n)) i)
(/ (+ n (* -1 n)) i)
(/ (+ n (* -1 n)) i)
(/ (+ n (* -1 n)) i)
(/ (+ n (* -1 n)) i)
(/ (+ n (* -1 n)) i)
(* -1 (/ (+ n (* -1 n)) i))
(* -1 (/ (+ n (* -1 n)) i))
(* -1 (/ (+ n (* -1 n)) i))
(* -1 (/ (+ n (* -1 n)) i))
0
0
0
0
0
0
0
0
0
0
0
0
(* 100 (/ (+ n (* -1 n)) i))
(* 100 (/ (+ n (* -1 n)) i))
(* 100 (/ (+ n (* -1 n)) i))
(* 100 (/ (+ n (* -1 n)) i))
(* 100 (/ (+ n (* -1 n)) i))
(* 100 (/ (+ n (* -1 n)) i))
(* 100 (/ (+ n (* -1 n)) i))
(* 100 (/ (+ n (* -1 n)) i))
(* -100 (/ (+ n (* -1 n)) i))
(* -100 (/ (+ n (* -1 n)) i))
(* -100 (/ (+ n (* -1 n)) i))
(* -100 (/ (+ n (* -1 n)) i))
(/ 1 i)
(/ 1 i)
(/ 1 i)
(/ 1 i)
(/ 1 i)
(/ 1 i)
(/ 1 i)
(/ 1 i)
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(/ 1 i)
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(/ 1 i)
(* -1 (/ n i))
(* -1 (/ n i))
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(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
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(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
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(* 100 (/ (* n (- (exp i) 1)) i))
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(* 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)))
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(* 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)))
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(* 100 (* n (- (exp i) 1)))
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(* n (- (exp i) 1))
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(* 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)
(* 100 (* (pow n 2) (+ (* -1 (/ (log n) i)) (/ (log i) i))))
(* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i)))))
(* (pow n 2) (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))
(* (pow n 2) (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))
(* n (- (* 100 (/ (exp i) i)) (* 100 (/ 1 i))))
(* n (- (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (exp i) i))) (* 100 (/ 1 i))))
(* n (- (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (* 100 (/ 1 i))))
(* n (- (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))))) (* 100 (/ 1 i))))
(* -1 (* n (+ (* -100 (/ (exp i) i)) (* 100 (/ 1 i)))))
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* 50 (/ (* i (exp i)) n)) (* 100 (/ 1 i))))))
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (/ 1 i))))))
(* -1 (* n (+ (* -100 (/ (exp i) i)) (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (/ 1 i))))))
(/ (+ (* -100 n) (* 100 n)) i)
(/ (+ (* -100 n) (+ (* 100 n) (* 100 (* i n)))) i)
(/ (+ (* -100 n) (+ (* 100 n) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i)
(/ (+ (* -100 n) (+ (* 100 n) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))) i)
(/ (+ (* -100 n) (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))) i)
(/ (+ (* -100 n) (+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (+ (* -100 n) (+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(/ (+ (* -100 n) (+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))))) i)
(* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 n)) i))
(* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (+ (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) (* 100 n))) i))
(* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (+ (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)) (* 100 n))) i))
(* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i)) (* 100 n))) i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* 100 (/ n i))
(/ (+ (* 100 n) (* 100 (* i n))) i)
(/ (+ (* 100 n) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i)
(/ (+ (* 100 n) (* i (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i)
(* 100 (/ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(/ (+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (+ (* 100 (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)
(* 100 (/ (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
(* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i))
(* -1 (/ (+ (* -100 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i))
(* 100 (/ n i))
(* n (+ (* 100 (* n (+ (* -1 (/ (log n) i)) (/ (log i) i)))) (* 100 (/ 1 i))))
(* n (+ (* n (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))))) (* 100 (/ 1 i))))
(* n (+ (* n (+ (* 100 (+ (* -1 (/ (log n) i)) (/ (log i) i))) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))))))) (* 100 (/ 1 i))))
(* 100 (/ (* n (exp i)) i))
(* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (exp i) i))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))))
(* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (exp i) i)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))))))
(* 100 (/ (* n (exp i)) i))
(* -1 (* n (+ (* -100 (/ (exp i) i)) (* 50 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -100 (/ (exp i) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))
(* -1 (* n (+ (* -100 (/ (exp i) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))
100
(+ 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)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
1
(+ 1 i)
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))
1
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
Outputs
100
#s(literal 100 binary64)
(+ 100 (* i (- 50 (* 50 (/ 1 n)))))
(fma.f64 i (+.f64 #s(literal 50 binary64) (/.f64 #s(literal -50 binary64) n)) #s(literal 100 binary64))
(+ 100 (* i (- (+ 50 (* i (- 50/3 (* 50 (/ 1 n))))) (* 50 (/ 1 n)))))
(fma.f64 i (+.f64 #s(literal 50 binary64) (fma.f64 i (+.f64 #s(literal 50/3 binary64) (/.f64 #s(literal -50 binary64) n)) (/.f64 #s(literal -50 binary64) n))) #s(literal 100 binary64))
(+ 100 (* i (- (+ 50 (* i (- (+ 50/3 (* i (- 25/6 (* 25 (/ 1 n))))) (* 50 (/ 1 n))))) (* 50 (/ 1 n)))))
(fma.f64 i (+.f64 (fma.f64 i (fma.f64 i (-.f64 #s(literal 25/6 binary64) (/.f64 #s(literal 25 binary64) n)) (+.f64 #s(literal 50/3 binary64) (/.f64 #s(literal -50 binary64) n))) #s(literal 50 binary64)) (/.f64 #s(literal -50 binary64) n)) #s(literal 100 binary64))
(* -50 (/ (* i (exp i)) n))
(*.f64 (/.f64 (exp.f64 i) n) (*.f64 i #s(literal -50 binary64)))
(* i (+ (* -50 (/ (exp i) n)) (* 100 (/ (- (exp i) 1) (pow i 2)))))
(*.f64 i (fma.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (*.f64 i i)) (/.f64 (*.f64 #s(literal -50 binary64) (exp.f64 i)) n)))
(* i (+ (* -50 (/ (exp i) n)) (* 100 (/ (- (exp i) 1) (pow i 2)))))
(*.f64 i (fma.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (*.f64 i i)) (/.f64 (*.f64 #s(literal -50 binary64) (exp.f64 i)) n)))
(* i (+ (* -50 (/ (exp i) n)) (* 100 (/ (- (exp i) 1) (pow i 2)))))
(*.f64 i (fma.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (*.f64 i i)) (/.f64 (*.f64 #s(literal -50 binary64) (exp.f64 i)) n)))
(* -50 (/ (* i (exp i)) n))
(*.f64 (/.f64 (exp.f64 i) n) (*.f64 i #s(literal -50 binary64)))
(* -1 (* i (+ (* -100 (/ (- (exp i) 1) (pow i 2))) (* 50 (/ (exp i) n)))))
(*.f64 i (fma.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (*.f64 i i)) (/.f64 (*.f64 #s(literal -50 binary64) (exp.f64 i)) n)))
(* -1 (* i (+ (* -100 (/ (- (exp i) 1) (pow i 2))) (* 50 (/ (exp i) n)))))
(*.f64 i (fma.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (*.f64 i i)) (/.f64 (*.f64 #s(literal -50 binary64) (exp.f64 i)) n)))
(* -1 (* i (+ (* -100 (/ (- (exp i) 1) (pow i 2))) (* 50 (/ (exp i) n)))))
(*.f64 i (fma.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (*.f64 i i)) (/.f64 (*.f64 #s(literal -50 binary64) (exp.f64 i)) n)))
(* -50 (/ (* i (exp i)) n))
(*.f64 (/.f64 (exp.f64 i) n) (*.f64 i #s(literal -50 binary64)))
(/ (+ (* -50 (* i (exp i))) (* 100 (/ (* n (- (exp i) 1)) i))) n)
(/.f64 (fma.f64 i (*.f64 #s(literal -50 binary64) (exp.f64 i)) (*.f64 (*.f64 n (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i))) n)
(/ (+ (* -50 (* i (exp i))) (* 100 (/ (* n (- (exp i) 1)) i))) n)
(/.f64 (fma.f64 i (*.f64 #s(literal -50 binary64) (exp.f64 i)) (*.f64 (*.f64 n (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i))) n)
(/ (+ (* -50 (* i (exp i))) (* 100 (/ (* n (- (exp i) 1)) i))) n)
(/.f64 (fma.f64 i (*.f64 #s(literal -50 binary64) (exp.f64 i)) (*.f64 (*.f64 n (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i))) n)
(* 100 (/ (- (exp i) 1) i))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
(+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))
(fma.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i #s(literal -50 binary64))))
(+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))
(fma.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i #s(literal -50 binary64))))
(+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))
(fma.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i #s(literal -50 binary64))))
(* 100 (/ (- (exp i) 1) i))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
(+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))
(fma.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i #s(literal -50 binary64))))
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(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 (fma.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n)) i) (*.f64 (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) n)))) 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 (*.f64 #s(literal -1/2 binary64) (*.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 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 (*.f64 #s(literal -1/2 binary64) (*.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 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 (*.f64 #s(literal -1/2 binary64) (*.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 (*.f64 #s(literal -1/2 binary64) (*.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 (-.f64 (*.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 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64)))) n)) n))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(-.f64 (exp.f64 i) (/.f64 (-.f64 (*.f64 (exp.f64 i) (*.f64 i (*.f64 i #s(literal 1/2 binary64)))) (/.f64 (fma.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)))) (neg.f64 (/.f64 (exp.f64 i) n)) (*.f64 (exp.f64 i) (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))))) n)) n))
(* 100 (/ n i))
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(* 100 (/ n i))
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(* 100 (/ n i))
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(* 100 (/ n i))
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(* 100 (/ n i))
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(* 100 (/ n i))
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(* 100 (/ n i))
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(* 100 (/ n i))
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(* 100 (/ n i))
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(* 100 (/ n i))
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(* 100 (/ n i))
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(* 100 (/ n i))
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(* 100 (/ n i))
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(* 100 (/ n i))
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(* 100 (/ n i))
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(* 100 (/ n i))
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(* 100 (/ n i))
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(* 100 (/ n i))
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(* 100 (/ n i))
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(* 100 (/ n i))
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(* 100 (/ n i))
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(* 100 (/ n i))
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(* 100 (/ n i))
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(* 100 (/ n i))
(/.f64 (*.f64 #s(literal 100 binary64) n) i)

eval279.0ms (1.8%)

Memory
-8.1MiB live, 220.8MiB allocated
Compiler

Compiled 29 622 to 3 523 computations (88.1% saved)

prune205.0ms (1.3%)

Memory
-9.5MiB live, 401.8MiB allocated
Pruning

59 alts after pruning (55 fresh and 4 done)

PrunedKeptTotal
New1 357371 394
Fresh181836
Picked325
Done022
Total1 378591 437
Accuracy
99.9%
Counts
1 437 → 59
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶12.7%
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
12.3%
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
12.6%
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
19.6%
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
12.7%
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
19.8%
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
12.5%
(fma.f64 (/.f64 #s(literal 100 binary64) i) n (*.f64 (/.f64 n i) #s(literal -100 binary64)))
12.9%
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
19.8%
(fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
12.5%
(fma.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(literal -1 binary64) i) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
12.7%
(fma.f64 n (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
12.6%
(fma.f64 n (*.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
▶56.3%
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 #s(literal 50 binary64) n)) (*.f64 #s(literal 100 binary64) n))
56.7%
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
14.4%
(/.f64 (fma.f64 (*.f64 n #s(literal 100 binary64)) i (*.f64 i (*.f64 #s(literal 100 binary64) (neg.f64 n)))) (*.f64 i i))
38.3%
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
49.7%
(/.f64 (*.f64 (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) #s(literal 100 binary64)) i)
✓67.3%
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
45.8%
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
49.2%
(/.f64 (*.f64 (*.f64 i (fma.f64 i (*.f64 n #s(literal 1/2 binary64)) n)) #s(literal 100 binary64)) i)
7.7%
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
16.7%
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)
48.6%
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (*.f64 i n) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)) i)
18.4%
(+.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
25.7%
(+.f64 (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
28.0%
(*.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))
14.4%
(*.f64 (fma.f64 (*.f64 n #s(literal 100 binary64)) i (*.f64 i (*.f64 #s(literal 100 binary64) (neg.f64 n)))) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
▶74.1%
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)
62.1%
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) #s(literal 1 binary64)) (/.f64 n i))
28.3%
(*.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))
56.3%
(*.f64 (*.f64 n #s(literal 100 binary64)) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
51.9%
(*.f64 n (fma.f64 i (+.f64 #s(literal 50 binary64) (/.f64 #s(literal -50 binary64) n)) #s(literal 100 binary64)))
52.2%
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
✓49.1%
(*.f64 n #s(literal 100 binary64))
12.5%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 n i)))
56.7%
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) n))
19.0%
(*.f64 #s(literal 100 binary64) (fma.f64 n (pow.f64 (*.f64 i i) #s(literal -1/2 binary64)) (/.f64 n (neg.f64 i))))
12.0%
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 n (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) i)))))
✓12.9%
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
12.3%
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal -1 binary64) (/.f64 i n))))
28.6%
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (*.f64 i (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n)) n))
56.3%
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) n))
53.3%
(*.f64 #s(literal 100 binary64) (fma.f64 i (neg.f64 (*.f64 n (+.f64 (neg.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (/.f64 (fma.f64 i (/.f64 (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)) n) (fma.f64 (fma.f64 i #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (neg.f64 i) #s(literal -1/2 binary64))) n))) #s(literal -1/2 binary64)))) n))
18.7%
(*.f64 #s(literal 100 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 #s(literal 1 binary64) n)) (/.f64 n (neg.f64 i))))
16.0%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (*.f64 i i)))
15.5%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i n)) (*.f64 i i)))
5.8%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n (/.f64 i (neg.f64 n)) i) (*.f64 i (/.f64 i (neg.f64 n)))))
14.3%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n i (*.f64 i (neg.f64 n))) (*.f64 i i)))
▶1.5%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (*.f64 n (*.f64 n n)) (neg.f64 (*.f64 n (*.f64 n n)))) (*.f64 i (*.f64 i i))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
22.1%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
12.2%
(*.f64 #s(literal 100 binary64) (/.f64 (+.f64 i (*.f64 (/.f64 i (neg.f64 n)) n)) (*.f64 (/.f64 i (neg.f64 n)) i)))
7.4%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n))
17.2%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
✓79.0%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
5.7%
(*.f64 #s(literal 100 binary64) (*.f64 (fma.f64 n (/.f64 i (neg.f64 n)) i) (/.f64 #s(literal 1 binary64) (*.f64 i (/.f64 i (neg.f64 n))))))
16.5%
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
56.7%
(*.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
17.1%
(*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
▶21.1%
#s(literal 0 binary64)
Compiler

Compiled 1 909 to 1 213 computations (36.5% saved)

simplify222.0ms (1.4%)

Memory
11.3MiB live, 398.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff448
(-.f64 (*.f64 n n) (*.f64 n (neg.f64 n)))
✓cost-diff768
(-.f64 (*.f64 n (*.f64 n n)) (neg.f64 (*.f64 n (*.f64 n n))))
✓cost-diff960
(/.f64 (/.f64 (-.f64 (*.f64 n (*.f64 n n)) (neg.f64 (*.f64 n (*.f64 n n)))) (*.f64 i (*.f64 i i))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i))))
✓cost-diff1408
(+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))
✓cost-diff0
(neg.f64 n)
✓cost-diff0
(/.f64 (neg.f64 n) i)
✓cost-diff320
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
✓cost-diff2240
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
✓cost-diff0
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
✓cost-diff0
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
✓cost-diff320
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 #s(literal 50 binary64) n))
✓cost-diff320
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 #s(literal 50 binary64) n)) (*.f64 #s(literal 100 binary64) n))
✓cost-diff0
(expm1.f64 i)
✓cost-diff0
(*.f64 (expm1.f64 i) #s(literal 100 binary64))
✓cost-diff0
(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)
✓cost-diff0
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)
Rules
5 324×accelerator-lowering-fma.f32
5 324×accelerator-lowering-fma.f64
4 266×*-lowering-*.f32
4 266×*-lowering-*.f64
2 558×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043262
1130258
2370229
31324209
44847207
08253192
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (* (- (exp i) 1) 100) i) n)
(/ (* (- (exp i) 1) 100) i)
(* (- (exp i) 1) 100)
(- (exp i) 1)
i
100
n
0
(+ (* i (+ (* i (* n (+ (* i 25/6) 50/3))) (* 50 n))) (* 100 n))
i
(+ (* i (* n (+ (* i 25/6) 50/3))) (* 50 n))
(* n (+ (* i 25/6) 50/3))
n
(+ (* i 25/6) 50/3)
25/6
50/3
(* 50 n)
50
(* 100 n)
100
(+ (* (/ (neg n) i) 100) (* 1 (* (/ n i) 100)))
(/ (neg n) i)
(neg n)
n
i
100
(* 1 (* (/ n i) 100))
1
(* (/ n i) 100)
(/ n i)
(* 100 (/ (/ (- (* n (* n n)) (neg (* n (* n n)))) (* i (* i i))) (+ (/ (* n n) (* i i)) (/ (- (* n n) (* n (neg n))) (* i i)))))
100
(/ (/ (- (* n (* n n)) (neg (* n (* n n)))) (* i (* i i))) (+ (/ (* n n) (* i i)) (/ (- (* n n) (* n (neg n))) (* i i))))
(/ (- (* n (* n n)) (neg (* n (* n n)))) (* i (* i i)))
(- (* n (* n n)) (neg (* n (* n n))))
(* n (* n n))
n
(* n n)
(neg (* n (* n n)))
(* i (* i i))
i
(* i i)
(+ (/ (* n n) (* i i)) (/ (- (* n n) (* n (neg n))) (* i i)))
(/ (* n n) (* i i))
(/ (- (* n n) (* n (neg n))) (* i i))
(- (* n n) (* n (neg n)))
(* n (neg n))
(neg n)
Outputs
(* (/ (* (- (exp i) 1) 100) i) n)
(*.f64 (expm1.f64 i) (/.f64 (*.f64 #s(literal 100 binary64) n) i))
(/ (* (- (exp i) 1) 100) i)
(*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i))
(* (- (exp i) 1) 100)
(*.f64 (expm1.f64 i) #s(literal 100 binary64))
(- (exp i) 1)
(expm1.f64 i)
i
100
#s(literal 100 binary64)
n
0
#s(literal 0 binary64)
(+ (* i (+ (* i (* n (+ (* i 25/6) 50/3))) (* 50 n))) (* 100 n))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
i
(+ (* i (* n (+ (* i 25/6) 50/3))) (* 50 n))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(* n (+ (* i 25/6) 50/3))
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
n
(+ (* i 25/6) 50/3)
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
25/6
#s(literal 25/6 binary64)
50/3
#s(literal 50/3 binary64)
(* 50 n)
(*.f64 n #s(literal 50 binary64))
50
#s(literal 50 binary64)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
100
#s(literal 100 binary64)
(+ (* (/ (neg n) i) 100) (* 1 (* (/ n i) 100)))
#s(literal 0 binary64)
(/ (neg n) i)
(/.f64 n (neg.f64 i))
(neg n)
(neg.f64 n)
n
i
100
#s(literal 100 binary64)
(* 1 (* (/ n i) 100))
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
1
#s(literal 1 binary64)
(* (/ n i) 100)
(/.f64 (*.f64 #s(literal 100 binary64) n) i)
(/ n i)
(/.f64 n i)
(* 100 (/ (/ (- (* n (* n n)) (neg (* n (* n n)))) (* i (* i i))) (+ (/ (* n n) (* i i)) (/ (- (* n n) (* n (neg n))) (* i i)))))
(*.f64 (/.f64 (*.f64 (*.f64 n n) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal 3 binary64)))) (*.f64 i i)) #s(literal 200 binary64))
100
#s(literal 100 binary64)
(/ (/ (- (* n (* n n)) (neg (* n (* n n)))) (* i (* i i))) (+ (/ (* n n) (* i i)) (/ (- (* n n) (* n (neg n))) (* i i))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal 3 binary64))) (*.f64 n (+.f64 n n))) (*.f64 i i))
(/ (- (* n (* n n)) (neg (* n (* n n)))) (* i (* i i)))
(/.f64 (*.f64 n (*.f64 n (+.f64 n n))) (*.f64 i (*.f64 i i)))
(- (* n (* n n)) (neg (* n (* n n))))
(*.f64 n (*.f64 n (+.f64 n n)))
(* n (* n n))
(*.f64 n (*.f64 n n))
n
(* n n)
(*.f64 n n)
(neg (* n (* n n)))
(*.f64 n (*.f64 n (neg.f64 n)))
(* i (* i i))
(*.f64 i (*.f64 i i))
i
(* i i)
(*.f64 i i)
(+ (/ (* n n) (* i i)) (/ (- (* n n) (* n (neg n))) (* i i)))
(*.f64 (/.f64 n (*.f64 i i)) (*.f64 n #s(literal 3 binary64)))
(/ (* n n) (* i i))
(/.f64 (*.f64 n n) (*.f64 i i))
(/ (- (* n n) (* n (neg n))) (* i i))
(/.f64 (*.f64 n (+.f64 n n)) (*.f64 i i))
(- (* n n) (* n (neg n)))
(*.f64 n (+.f64 n n))
(* n (neg n))
(*.f64 n (neg.f64 n))
(neg n)
(neg.f64 n)

localize453.0ms (2.9%)

Memory
21.1MiB live, 658.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy76.6%
(/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i))
✓accuracy76.6%
(/.f64 (*.f64 n n) (*.f64 i i))
✓accuracy72.0%
(/.f64 (-.f64 (*.f64 n (*.f64 n n)) (neg.f64 (*.f64 n (*.f64 n n)))) (*.f64 i (*.f64 i i)))
✓accuracy37.8%
(/.f64 (/.f64 (-.f64 (*.f64 n (*.f64 n n)) (neg.f64 (*.f64 n (*.f64 n n)))) (*.f64 i (*.f64 i i))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i))))
✓accuracy100.0%
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
✓accuracy100.0%
(neg.f64 n)
✓accuracy99.6%
(*.f64 (/.f64 n i) #s(literal 100 binary64))
✓accuracy17.3%
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
✓accuracy99.9%
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 #s(literal 50 binary64) n)) (*.f64 #s(literal 100 binary64) n))
✓accuracy99.9%
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 #s(literal 50 binary64) n))
✓accuracy99.7%
(fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))
✓accuracy99.4%
(*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
✓accuracy100.0%
(expm1.f64 i)
✓accuracy100.0%
(*.f64 (expm1.f64 i) #s(literal 100 binary64))
✓accuracy100.0%
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)
✓accuracy99.9%
(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)
Samples
278.0ms115×4valid
84.0ms111×2valid
15.0ms7×5exit
6.0ms23×0valid
Compiler

Compiled 301 to 44 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 307.0ms
ival-mult: 190.0ms (61.8% of total)
ival-div: 38.0ms (12.4% of total)
adjust: 28.0ms (9.1% of total)
ival-add: 17.0ms (5.5% of total)
const: 9.0ms (2.9% of total)
ival-expm1: 8.0ms (2.6% of total)
ival-sub: 8.0ms (2.6% of total)
ival-neg: 6.0ms (2% of total)
exact: 1.0ms (0.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series41.0ms (0.3%)

Memory
-22.6MiB live, 52.6MiB allocated
Counts
20 → 396
Calls
Call 1
Inputs
#<alt (* (/ (* (- (exp i) 1) 100) i) n)>
#<alt (/ (* (- (exp i) 1) 100) i)>
#<alt (* (- (exp i) 1) 100)>
#<alt (- (exp i) 1)>
#<alt (+ (* i (+ (* i (* n (+ (* i 25/6) 50/3))) (* 50 n))) (* 100 n))>
#<alt (+ (* i (* n (+ (* i 25/6) 50/3))) (* 50 n))>
#<alt (* n (+ (* i 25/6) 50/3))>
#<alt (+ (* i 25/6) 50/3)>
#<alt (+ (* (/ (neg n) i) 100) (* 1 (* (/ n i) 100)))>
#<alt (* 1 (* (/ n i) 100))>
#<alt (/ (neg n) i)>
#<alt (neg n)>
#<alt (+ (/ (* n n) (* i i)) (/ (- (* n n) (* n (neg n))) (* i i)))>
#<alt (/ (/ (- (* n (* n n)) (neg (* n (* n n)))) (* i (* i i))) (+ (/ (* n n) (* i i)) (/ (- (* n n) (* n (neg n))) (* i i))))>
#<alt (- (* n (* n n)) (neg (* n (* n n))))>
#<alt (- (* n n) (* n (neg n)))>
#<alt (* (/ n i) 100)>
#<alt (/ (- (* n (* n n)) (neg (* n (* n n)))) (* i (* i i)))>
#<alt (/ (* n n) (* i i))>
#<alt (/ (- (* n n) (* n (neg n))) (* i i))>
Outputs
#<alt (* 100 n)>
#<alt (+ (* 50 (* i n)) (* 100 n))>
#<alt (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))>
#<alt (+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt 100>
#<alt (+ 100 (* 50 i))>
#<alt (+ 100 (* i (+ 50 (* 50/3 i))))>
#<alt (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 i)>
#<alt (* i (+ 100 (* 50 i)))>
#<alt (* i (+ 100 (* i (+ 50 (* 50/3 i)))))>
#<alt (* i (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))>
#<alt (* 100 (- (exp i) 1))>
#<alt (* 100 (- (exp i) 1))>
#<alt (* 100 (- (exp i) 1))>
#<alt (* 100 (- (exp i) 1))>
#<alt (* 100 (- (exp i) 1))>
#<alt (* 100 (- (exp i) 1))>
#<alt (* 100 (- (exp i) 1))>
#<alt (* 100 (- (exp i) 1))>
#<alt i>
#<alt (* i (+ 1 (* 1/2 i)))>
#<alt (* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))>
#<alt (* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (* 100 n)>
#<alt (+ (* 50 (* i n)) (* 100 n))>
#<alt (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))>
#<alt (+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))>
#<alt (* 25/6 (* (pow i 3) n))>
#<alt (* (pow i 3) (+ (* 25/6 n) (* 50/3 (/ n i))))>
#<alt (* (pow i 3) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (* 50 (/ n (pow i 2))))))>
#<alt (* (pow i 3) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (+ (* 50 (/ n (pow i 2))) (* 100 (/ n (pow i 3)))))))>
#<alt (* 25/6 (* (pow i 3) n))>
#<alt (* -1 (* (pow i 3) (+ (* -50/3 (/ n i)) (* -25/6 n))))>
#<alt (* -1 (* (pow i 3) (+ (* -25/6 n) (* -1 (/ (+ (* 50/3 n) (* 50 (/ n i))) i)))))>
#<alt (* -1 (* (pow i 3) (+ (* -25/6 n) (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ n i)) (* -50 n)) i)) (* 50/3 n)) i)))))>
#<alt (* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))>
#<alt (* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))>
#<alt (* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))>
#<alt (* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))>
#<alt (* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))>
#<alt (* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))>
#<alt (* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))>
#<alt (* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))>
#<alt (* -1 (* n (- (* i (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)) 100)))>
#<alt (* -1 (* n (- (* i (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)) 100)))>
#<alt (* -1 (* n (- (* i (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)) 100)))>
#<alt (* -1 (* n (- (* i (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)) 100)))>
#<alt (* 50 n)>
#<alt (+ (* 50/3 (* i n)) (* 50 n))>
#<alt (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))>
#<alt (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))>
#<alt (* 25/6 (* (pow i 2) n))>
#<alt (* (pow i 2) (+ (* 25/6 n) (* 50/3 (/ n i))))>
#<alt (* (pow i 2) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (* 50 (/ n (pow i 2))))))>
#<alt (* (pow i 2) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (* 50 (/ n (pow i 2))))))>
#<alt (* 25/6 (* (pow i 2) n))>
#<alt (* (pow i 2) (+ (* 25/6 n) (* 50/3 (/ n i))))>
#<alt (* (pow i 2) (+ (* -1 (/ (+ (* -50 (/ n i)) (* -50/3 n)) i)) (* 25/6 n)))>
#<alt (* (pow i 2) (+ (* -1 (/ (+ (* -50 (/ n i)) (* -50/3 n)) i)) (* 25/6 n)))>
#<alt (* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))>
#<alt (* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))>
#<alt (* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))>
#<alt (* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))>
#<alt (* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))>
#<alt (* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))>
#<alt (* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))>
#<alt (* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))>
#<alt (* -1 (* n (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)))>
#<alt (* -1 (* n (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)))>
#<alt (* -1 (* n (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)))>
#<alt (* -1 (* n (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)))>
#<alt (* n (+ 50/3 (* 25/6 i)))>
#<alt (* n (+ 50/3 (* 25/6 i)))>
#<alt (* n (+ 50/3 (* 25/6 i)))>
#<alt (* n (+ 50/3 (* 25/6 i)))>
#<alt (* n (+ 50/3 (* 25/6 i)))>
#<alt (* n (+ 50/3 (* 25/6 i)))>
#<alt (* n (+ 50/3 (* 25/6 i)))>
#<alt (* n (+ 50/3 (* 25/6 i)))>
#<alt (* n (+ 50/3 (* 25/6 i)))>
#<alt (* n (+ 50/3 (* 25/6 i)))>
#<alt (* n (+ 50/3 (* 25/6 i)))>
#<alt (* n (+ 50/3 (* 25/6 i)))>
#<alt (* 50/3 n)>
#<alt (+ (* 25/6 (* i n)) (* 50/3 n))>
#<alt (+ (* 25/6 (* i n)) (* 50/3 n))>
#<alt (+ (* 25/6 (* i n)) (* 50/3 n))>
#<alt (* 25/6 (* i n))>
#<alt (* i (+ (* 25/6 n) (* 50/3 (/ n i))))>
#<alt (* i (+ (* 25/6 n) (* 50/3 (/ n i))))>
#<alt (* i (+ (* 25/6 n) (* 50/3 (/ n i))))>
#<alt (* 25/6 (* i n))>
#<alt (* -1 (* i (+ (* -50/3 (/ n i)) (* -25/6 n))))>
#<alt (* -1 (* i (+ (* -50/3 (/ n i)) (* -25/6 n))))>
#<alt (* -1 (* i (+ (* -50/3 (/ n i)) (* -25/6 n))))>
#<alt 50/3>
#<alt (+ 50/3 (* 25/6 i))>
#<alt (+ 50/3 (* 25/6 i))>
#<alt (+ 50/3 (* 25/6 i))>
#<alt (* 25/6 i)>
#<alt (* i (+ 25/6 (* 50/3 (/ 1 i))))>
#<alt (* i (+ 25/6 (* 50/3 (/ 1 i))))>
#<alt (* i (+ 25/6 (* 50/3 (/ 1 i))))>
#<alt (* 25/6 i)>
#<alt (* i (+ 25/6 (* 50/3 (/ 1 i))))>
#<alt (* i (+ 25/6 (* 50/3 (/ 1 i))))>
#<alt (* i (+ 25/6 (* 50/3 (/ 1 i))))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (/ (+ (* -100 n) (* 100 n)) i)>
#<alt (/ (+ (* -100 n) (* 100 n)) i)>
#<alt (/ (+ (* -100 n) (* 100 n)) i)>
#<alt (/ (+ (* -100 n) (* 100 n)) i)>
#<alt (/ (+ (* -100 n) (* 100 n)) i)>
#<alt (/ (+ (* -100 n) (* 100 n)) i)>
#<alt (/ (+ (* -100 n) (* 100 n)) i)>
#<alt (/ (+ (* -100 n) (* 100 n)) i)>
#<alt (* -1 (/ (+ (* -100 n) (* 100 n)) i))>
#<alt (* -1 (/ (+ (* -100 n) (* 100 n)) i))>
#<alt (* -1 (/ (+ (* -100 n) (* 100 n)) i))>
#<alt (* -1 (/ (+ (* -100 n) (* 100 n)) i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 (/ n i))>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* 3 (/ (pow n 2) (pow i 2)))>
#<alt (* 3 (/ (pow n 2) (pow i 2)))>
#<alt (* 3 (/ (pow n 2) (pow i 2)))>
#<alt (* 3 (/ (pow n 2) (pow i 2)))>
#<alt (* 3 (/ (pow n 2) (pow i 2)))>
#<alt (* 3 (/ (pow n 2) (pow i 2)))>
#<alt (* 3 (/ (pow n 2) (pow i 2)))>
#<alt (* 3 (/ (pow n 2) (pow i 2)))>
#<alt (* 3 (/ (pow n 2) (pow i 2)))>
#<alt (* 3 (/ (pow n 2) (pow i 2)))>
#<alt (* 3 (/ (pow n 2) (pow i 2)))>
#<alt (* 3 (/ (pow n 2) (pow i 2)))>
#<alt (/ (- (* 2 (pow n 2)) (* -1 (pow n 2))) (pow i 2))>
#<alt (/ (- (* 2 (pow n 2)) (* -1 (pow n 2))) (pow i 2))>
#<alt (/ (- (* 2 (pow n 2)) (* -1 (pow n 2))) (pow i 2))>
#<alt (/ (- (* 2 (pow n 2)) (* -1 (pow n 2))) (pow i 2))>
#<alt (/ (- (* 2 (pow n 2)) (* -1 (pow n 2))) (pow i 2))>
#<alt (/ (- (* 2 (pow n 2)) (* -1 (pow n 2))) (pow i 2))>
#<alt (/ (- (* 2 (pow n 2)) (* -1 (pow n 2))) (pow i 2))>
#<alt (/ (- (* 2 (pow n 2)) (* -1 (pow n 2))) (pow i 2))>
#<alt (/ (- (* 2 (pow n 2)) (* -1 (pow n 2))) (pow i 2))>
#<alt (/ (- (* 2 (pow n 2)) (* -1 (pow n 2))) (pow i 2))>
#<alt (/ (- (* 2 (pow n 2)) (* -1 (pow n 2))) (pow i 2))>
#<alt (/ (- (* 2 (pow n 2)) (* -1 (pow n 2))) (pow i 2))>
#<alt (* 2/3 (/ n i))>
#<alt (* 2/3 (/ n i))>
#<alt (* 2/3 (/ n i))>
#<alt (* 2/3 (/ n i))>
#<alt (* 2/3 (/ n i))>
#<alt (* 2/3 (/ n i))>
#<alt (* 2/3 (/ n i))>
#<alt (* 2/3 (/ n i))>
#<alt (* 2/3 (/ n i))>
#<alt (* 2/3 (/ n i))>
#<alt (* 2/3 (/ n i))>
#<alt (* 2/3 (/ n i))>
#<alt (* 2 (/ (pow n 3) (* i (- (* 2 (pow n 2)) (* -1 (pow n 2))))))>
#<alt (* 2 (/ (pow n 3) (* i (- (* 2 (pow n 2)) (* -1 (pow n 2))))))>
#<alt (* 2 (/ (pow n 3) (* i (- (* 2 (pow n 2)) (* -1 (pow n 2))))))>
#<alt (* 2 (/ (pow n 3) (* i (- (* 2 (pow n 2)) (* -1 (pow n 2))))))>
#<alt (* 2 (/ (pow n 3) (* i (- (* 2 (pow n 2)) (* -1 (pow n 2))))))>
#<alt (* 2 (/ (pow n 3) (* i (- (* 2 (pow n 2)) (* -1 (pow n 2))))))>
#<alt (* 2 (/ (pow n 3) (* i (- (* 2 (pow n 2)) (* -1 (pow n 2))))))>
#<alt (* 2 (/ (pow n 3) (* i (- (* 2 (pow n 2)) (* -1 (pow n 2))))))>
#<alt (* 2 (/ (pow n 3) (* i (- (* 2 (pow n 2)) (* -1 (pow n 2))))))>
#<alt (* 2 (/ (pow n 3) (* i (- (* 2 (pow n 2)) (* -1 (pow n 2))))))>
#<alt (* 2 (/ (pow n 3) (* i (- (* 2 (pow n 2)) (* -1 (pow n 2))))))>
#<alt (* 2 (/ (pow n 3) (* i (- (* 2 (pow n 2)) (* -1 (pow n 2))))))>
#<alt (* 2 (pow n 3))>
#<alt (* 2 (pow n 3))>
#<alt (* 2 (pow n 3))>
#<alt (* 2 (pow n 3))>
#<alt (* 2 (pow n 3))>
#<alt (* 2 (pow n 3))>
#<alt (* 2 (pow n 3))>
#<alt (* 2 (pow n 3))>
#<alt (* 2 (pow n 3))>
#<alt (* 2 (pow n 3))>
#<alt (* 2 (pow n 3))>
#<alt (* 2 (pow n 3))>
#<alt (* 2 (pow n 2))>
#<alt (* 2 (pow n 2))>
#<alt (* 2 (pow n 2))>
#<alt (* 2 (pow n 2))>
#<alt (* 2 (pow n 2))>
#<alt (* 2 (pow n 2))>
#<alt (* 2 (pow n 2))>
#<alt (* 2 (pow n 2))>
#<alt (* 2 (pow n 2))>
#<alt (* 2 (pow n 2))>
#<alt (* 2 (pow n 2))>
#<alt (* 2 (pow n 2))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 100 (/ n i))>
#<alt (* 2 (/ (pow n 3) (pow i 3)))>
#<alt (* 2 (/ (pow n 3) (pow i 3)))>
#<alt (* 2 (/ (pow n 3) (pow i 3)))>
#<alt (* 2 (/ (pow n 3) (pow i 3)))>
#<alt (* 2 (/ (pow n 3) (pow i 3)))>
#<alt (* 2 (/ (pow n 3) (pow i 3)))>
#<alt (* 2 (/ (pow n 3) (pow i 3)))>
#<alt (* 2 (/ (pow n 3) (pow i 3)))>
#<alt (* 2 (/ (pow n 3) (pow i 3)))>
#<alt (* 2 (/ (pow n 3) (pow i 3)))>
#<alt (* 2 (/ (pow n 3) (pow i 3)))>
#<alt (* 2 (/ (pow n 3) (pow i 3)))>
#<alt (* 2 (/ (pow n 3) (pow i 3)))>
#<alt (* 2 (/ (pow n 3) (pow i 3)))>
#<alt (* 2 (/ (pow n 3) (pow i 3)))>
#<alt (* 2 (/ (pow n 3) (pow i 3)))>
#<alt (* 2 (/ (pow n 3) (pow i 3)))>
#<alt (* 2 (/ (pow n 3) (pow i 3)))>
#<alt (* 2 (/ (pow n 3) (pow i 3)))>
#<alt (* 2 (/ (pow n 3) (pow i 3)))>
#<alt (* 2 (/ (pow n 3) (pow i 3)))>
#<alt (* 2 (/ (pow n 3) (pow i 3)))>
#<alt (* 2 (/ (pow n 3) (pow i 3)))>
#<alt (* 2 (/ (pow n 3) (pow i 3)))>
#<alt (/ (pow n 2) (pow i 2))>
#<alt (/ (pow n 2) (pow i 2))>
#<alt (/ (pow n 2) (pow i 2))>
#<alt (/ (pow n 2) (pow i 2))>
#<alt (/ (pow n 2) (pow i 2))>
#<alt (/ (pow n 2) (pow i 2))>
#<alt (/ (pow n 2) (pow i 2))>
#<alt (/ (pow n 2) (pow i 2))>
#<alt (/ (pow n 2) (pow i 2))>
#<alt (/ (pow n 2) (pow i 2))>
#<alt (/ (pow n 2) (pow i 2))>
#<alt (/ (pow n 2) (pow i 2))>
#<alt (/ (pow n 2) (pow i 2))>
#<alt (/ (pow n 2) (pow i 2))>
#<alt (/ (pow n 2) (pow i 2))>
#<alt (/ (pow n 2) (pow i 2))>
#<alt (/ (pow n 2) (pow i 2))>
#<alt (/ (pow n 2) (pow i 2))>
#<alt (/ (pow n 2) (pow i 2))>
#<alt (/ (pow n 2) (pow i 2))>
#<alt (/ (pow n 2) (pow i 2))>
#<alt (/ (pow n 2) (pow i 2))>
#<alt (/ (pow n 2) (pow i 2))>
#<alt (/ (pow n 2) (pow i 2))>
#<alt (* 2 (/ (pow n 2) (pow i 2)))>
#<alt (* 2 (/ (pow n 2) (pow i 2)))>
#<alt (* 2 (/ (pow n 2) (pow i 2)))>
#<alt (* 2 (/ (pow n 2) (pow i 2)))>
#<alt (* 2 (/ (pow n 2) (pow i 2)))>
#<alt (* 2 (/ (pow n 2) (pow i 2)))>
#<alt (* 2 (/ (pow n 2) (pow i 2)))>
#<alt (* 2 (/ (pow n 2) (pow i 2)))>
#<alt (* 2 (/ (pow n 2) (pow i 2)))>
#<alt (* 2 (/ (pow n 2) (pow i 2)))>
#<alt (* 2 (/ (pow n 2) (pow i 2)))>
#<alt (* 2 (/ (pow n 2) (pow i 2)))>
#<alt (/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))>
#<alt (/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))>
#<alt (/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))>
#<alt (/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))>
#<alt (/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))>
#<alt (/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))>
#<alt (/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))>
#<alt (/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))>
#<alt (/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))>
#<alt (/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))>
#<alt (/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))>
#<alt (/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))>
Calls

99 calls:

TimeVariablePointExpression
11.0ms
i
@0
(+ (* (/ (neg n) i) 100) (* 1 (* (/ n i) 100)))
5.0ms
n
@0
(+ (* i (+ (* i (* n (+ (* i 25/6) 50/3))) (* 50 n))) (* 100 n))
2.0ms
i
@0
(/ (- (* n n) (* n (neg n))) (* i i))
1.0ms
i
@0
(/ (/ (- (* n (* n n)) (neg (* n (* n n)))) (* i (* i i))) (+ (/ (* n n) (* i i)) (/ (- (* n n) (* n (neg n))) (* i i))))
1.0ms
n
@0
(/ (/ (- (* n (* n n)) (neg (* n (* n n)))) (* i (* i i))) (+ (/ (* n n) (* i i)) (/ (- (* n n) (* n (neg n))) (* i i))))

rewrite344.0ms (2.2%)

Memory
-0.5MiB live, 402.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 080×accelerator-lowering-fma.f32
5 080×accelerator-lowering-fma.f64
4 212×/-lowering-/.f32
4 212×/-lowering-/.f64
3 668×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041192
1274173
22712150
09470134
Stop Event
1×iter limit
1×node limit
Counts
20 → 1 034
Calls
Call 1
Inputs
(* (/ (* (- (exp i) 1) 100) i) n)
(/ (* (- (exp i) 1) 100) i)
(* (- (exp i) 1) 100)
(- (exp i) 1)
(+ (* i (+ (* i (* n (+ (* i 25/6) 50/3))) (* 50 n))) (* 100 n))
(+ (* i (* n (+ (* i 25/6) 50/3))) (* 50 n))
(* n (+ (* i 25/6) 50/3))
(+ (* i 25/6) 50/3)
(+ (* (/ (neg n) i) 100) (* 1 (* (/ n i) 100)))
(* 1 (* (/ n i) 100))
(/ (neg n) i)
(neg n)
(+ (/ (* n n) (* i i)) (/ (- (* n n) (* n (neg n))) (* i i)))
(/ (/ (- (* n (* n n)) (neg (* n (* n n)))) (* i (* i i))) (+ (/ (* n n) (* i i)) (/ (- (* n n) (* n (neg n))) (* i i))))
(- (* n (* n n)) (neg (* n (* n n))))
(- (* n n) (* n (neg n)))
(* (/ n i) 100)
(/ (- (* n (* n n)) (neg (* n (* n n)))) (* i (* i i)))
(/ (* n n) (* i i))
(/ (- (* n n) (* n (neg n))) (* i i))
Outputs
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64)))) (/.f64 (neg.f64 n) (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (expm1.f64 i) (*.f64 #s(literal 100 binary64) n))))
(/.f64 n (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))))
(/.f64 (neg.f64 n) (neg.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 (expm1.f64 i) (*.f64 #s(literal 100 binary64) n)))))
(/.f64 (*.f64 (expm1.f64 i) (*.f64 #s(literal 100 binary64) n)) i)
(/.f64 (*.f64 n #s(literal 1 binary64)) (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 i) (*.f64 #s(literal 100 binary64) n))) (neg.f64 i))
(/.f64 (*.f64 n (*.f64 (expm1.f64 i) #s(literal -100 binary64))) (neg.f64 i))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal -100 binary64)) n) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 n #s(literal 1 binary64))) (neg.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (expm1.f64 i) (*.f64 #s(literal 100 binary64) n)))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 n (*.f64 (expm1.f64 i) #s(literal -100 binary64)))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal -100 binary64)) n)) (neg.f64 (neg.f64 i)))
(pow.f64 (/.f64 i (*.f64 (expm1.f64 i) (*.f64 #s(literal 100 binary64) n))) #s(literal -1 binary64))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 100 binary64) i) n))
(*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) (/.f64 n i))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)
(*.f64 n (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i))
(*.f64 (*.f64 (expm1.f64 i) (*.f64 #s(literal 100 binary64) n)) (/.f64 #s(literal 1 binary64) i))
(*.f64 (*.f64 n (expm1.f64 i)) (/.f64 #s(literal 100 binary64) i))
(exp.f64 (*.f64 (log.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) i) (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) (neg.f64 i)))
(neg.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) (neg.f64 i)))
(neg.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal -100 binary64)) i))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))))))
(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)
(/.f64 (*.f64 (expm1.f64 i) #s(literal -100 binary64)) (neg.f64 i))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 100 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i))
(/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i))
(/.f64 (neg.f64 (*.f64 (expm1.f64 i) #s(literal -100 binary64))) (neg.f64 (neg.f64 i)))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) #s(literal 1 binary64)) i)
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 100 binary64) i)) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (*.f64 (expm1.f64 (+.f64 i i)) (/.f64 #s(literal 100 binary64) i)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 100 binary64))) (neg.f64 (*.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) i)))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64))) (neg.f64 (*.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) i)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (expm1.f64 i) #s(literal -100 binary64)))) (neg.f64 (neg.f64 (neg.f64 i))))
(/.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) #s(literal 1 binary64))) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 100 binary64) i))) (neg.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 i i)) (/.f64 #s(literal 100 binary64) i))) (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(pow.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i))
(*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i))
(*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) (/.f64 #s(literal 1 binary64) i)))
(*.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 (expm1.f64 i) #s(literal -100 binary64)) (/.f64 #s(literal -1 binary64) i))
(*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (expm1.f64 i) #s(literal 100 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 i) #s(literal 100 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 100 binary64) i) (expm1.f64 i))
(+.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) #s(literal -100 binary64))
(+.f64 (*.f64 (exp.f64 i) #s(literal 100 binary64)) #s(literal -100 binary64))
(fma.f64 (exp.f64 i) #s(literal 100 binary64) #s(literal -100 binary64))
(fma.f64 #s(literal 100 binary64) (exp.f64 i) #s(literal -100 binary64))
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 100 binary64)) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (+.f64 i i))) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) #s(literal 100 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 i i)) #s(literal 100 binary64))) (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 i #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (+.f64 i i)))) (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) #s(literal 3 binary64)) #s(literal -1000000 binary64)) (fma.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) (*.f64 #s(literal 100 binary64) (exp.f64 i)) (-.f64 #s(literal 10000 binary64) (*.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) #s(literal -100 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 i) #s(literal 100 binary64)) #s(literal 3 binary64)) #s(literal -1000000 binary64)) (fma.f64 (*.f64 (exp.f64 i) #s(literal 100 binary64)) (*.f64 (exp.f64 i) #s(literal 100 binary64)) (-.f64 #s(literal 10000 binary64) (*.f64 (*.f64 (exp.f64 i) #s(literal 100 binary64)) #s(literal -100 binary64)))))
(*.f64 (expm1.f64 i) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
(+.f64 (exp.f64 i) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 i))
(-.f64 (exp.f64 i) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (*.f64 i #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 i i)) (+.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))))
(-.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 (exp.f64 i) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 i) #s(literal -1 binary64))
(expm1.f64 i)
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(/.f64 (*.f64 (*.f64 (*.f64 n (neg.f64 n)) (*.f64 n (+.f64 n n))) #s(literal 1 binary64)) (*.f64 i (*.f64 i (*.f64 n (+.f64 n n)))))
(/.f64 (neg.f64 (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n (+.f64 n n))))) (neg.f64 (*.f64 (*.f64 i i) (fma.f64 n (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (neg.f64 n)) (*.f64 n (+.f64 n n)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 n (neg.f64 n)) (*.f64 n (+.f64 n n)))) (neg.f64 (*.f64 i (*.f64 i (*.f64 n (+.f64 n n))))))
(/.f64 (neg.f64 (/.f64 (*.f64 n (+.f64 n n)) i)) (neg.f64 i))
(/.f64 (fma.f64 (*.f64 n (*.f64 n n)) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (+.f64 (/.f64 (*.f64 n (*.f64 n (*.f64 n n))) (*.f64 i (*.f64 i (*.f64 i i)))) (-.f64 (/.f64 (*.f64 n (*.f64 n (*.f64 n n))) (*.f64 i (*.f64 i (*.f64 i i)))) (/.f64 (*.f64 n (*.f64 n (*.f64 n n))) (*.f64 i (*.f64 i (*.f64 i i)))))))
(/.f64 (-.f64 (/.f64 (*.f64 n (*.f64 n (*.f64 n n))) (*.f64 i (*.f64 i (*.f64 i i)))) (/.f64 (*.f64 n (*.f64 n (*.f64 n n))) (*.f64 i (*.f64 i (*.f64 i i))))) (fma.f64 n (/.f64 n (*.f64 i i)) (neg.f64 (/.f64 (*.f64 n n) (*.f64 i i)))))
(/.f64 (*.f64 (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n (+.f64 n n)))) (/.f64 #s(literal 1 binary64) (*.f64 i i))) (fma.f64 n (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (neg.f64 n)) (*.f64 n (+.f64 n n)))))
(/.f64 (*.f64 (*.f64 (*.f64 n (neg.f64 n)) (*.f64 n (+.f64 n n))) (/.f64 #s(literal 1 binary64) (*.f64 i i))) (*.f64 n (+.f64 n n)))
(/.f64 (-.f64 n n) (*.f64 (/.f64 i n) i))
(/.f64 (-.f64 (/.f64 n i) (/.f64 n i)) (/.f64 i n))
(/.f64 (-.f64 (*.f64 n (neg.f64 n)) (*.f64 n (neg.f64 n))) (*.f64 i (neg.f64 i)))
(/.f64 (-.f64 (/.f64 (*.f64 n n) i) (/.f64 (*.f64 n n) i)) i)
(/.f64 (-.f64 (*.f64 (/.f64 n i) n) (/.f64 (*.f64 n n) i)) i)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 n)) (*.f64 #s(literal 1 binary64) (neg.f64 n))) (*.f64 (/.f64 i n) (neg.f64 i)))
(/.f64 (-.f64 (*.f64 n #s(literal 1 binary64)) (*.f64 n #s(literal 1 binary64))) (*.f64 i (/.f64 i n)))
(/.f64 (-.f64 (*.f64 (neg.f64 n) #s(literal 1 binary64)) (*.f64 (neg.f64 n) #s(literal 1 binary64))) (*.f64 (neg.f64 i) (/.f64 i n)))
(/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 n n) i)) (neg.f64 (/.f64 (*.f64 n n) i))) (neg.f64 i))
(/.f64 (-.f64 (*.f64 (/.f64 n i) (neg.f64 n)) (neg.f64 (/.f64 (*.f64 n n) i))) (neg.f64 i))
(/.f64 (-.f64 (*.f64 (neg.f64 n) (/.f64 n i)) (neg.f64 (/.f64 (*.f64 n n) i))) (neg.f64 i))
(/.f64 (-.f64 (/.f64 (*.f64 n n) i) (*.f64 (/.f64 n i) n)) i)
(/.f64 (-.f64 (*.f64 (/.f64 n i) n) (*.f64 (/.f64 n i) n)) i)
(/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 n n) i)) (*.f64 (/.f64 n i) (neg.f64 n))) (neg.f64 i))
(/.f64 (-.f64 (*.f64 (/.f64 n i) (neg.f64 n)) (*.f64 (/.f64 n i) (neg.f64 n))) (neg.f64 i))
(/.f64 (-.f64 (*.f64 (neg.f64 n) (/.f64 n i)) (*.f64 (/.f64 n i) (neg.f64 n))) (neg.f64 i))
(/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 n n) i)) (*.f64 (neg.f64 n) (/.f64 n i))) (neg.f64 i))
(/.f64 (-.f64 (*.f64 (/.f64 n i) (neg.f64 n)) (*.f64 (neg.f64 n) (/.f64 n i))) (neg.f64 i))
(/.f64 (-.f64 (*.f64 (neg.f64 n) (/.f64 n i)) (*.f64 (neg.f64 n) (/.f64 n i))) (neg.f64 i))
(/.f64 (-.f64 (*.f64 n (neg.f64 n)) (*.f64 n n)) (*.f64 i i))
(/.f64 (-.f64 (*.f64 n (neg.f64 n)) (*.f64 n n)) (*.f64 i (neg.f64 i)))
(/.f64 (-.f64 (/.f64 (*.f64 n (neg.f64 n)) i) (/.f64 (*.f64 n n) i)) i)
(/.f64 (-.f64 (/.f64 (*.f64 n (neg.f64 n)) i) (*.f64 (/.f64 n i) n)) i)
(/.f64 (-.f64 (*.f64 (/.f64 n i) n) (/.f64 (*.f64 n (neg.f64 n)) i)) i)
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (neg.f64 (+.f64 (/.f64 (*.f64 n (*.f64 n (*.f64 n n))) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 (*.f64 n (*.f64 n (*.f64 n n))) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (neg.f64 (/.f64 (*.f64 n n) (*.f64 i i))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 n (+.f64 n n)) #s(literal 1 binary64))) (*.f64 i (neg.f64 i)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 i i)) (*.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (*.f64 n (neg.f64 n))))) (neg.f64 (*.f64 (/.f64 (*.f64 i i) (*.f64 n n)) (*.f64 i i))))
(/.f64 (neg.f64 (-.f64 (*.f64 n (*.f64 n (*.f64 i i))) (*.f64 (*.f64 i i) (*.f64 n (neg.f64 n))))) (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 n (neg.f64 n)) (*.f64 i i)) (*.f64 (*.f64 i (neg.f64 i)) (*.f64 n (neg.f64 n))))) (neg.f64 (*.f64 (*.f64 i (neg.f64 i)) (*.f64 i i))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 n n) i) (*.f64 i i)) (*.f64 i (*.f64 n (neg.f64 n))))) (neg.f64 (*.f64 i (*.f64 i i))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n (+.f64 n n)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 n (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (neg.f64 n)) (*.f64 n (+.f64 n n)))) (*.f64 i i))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 n (neg.f64 n)) (*.f64 n (+.f64 n n))) #s(literal 1 binary64))) (neg.f64 (*.f64 i (*.f64 i (*.f64 n (+.f64 n n))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 n (+.f64 n n)) i))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 n (*.f64 n (*.f64 n n))) (*.f64 i (*.f64 i (*.f64 i i)))) (/.f64 (*.f64 n (*.f64 n (*.f64 n n))) (*.f64 i (*.f64 i (*.f64 i i)))))) (neg.f64 (fma.f64 n (/.f64 n (*.f64 i i)) (neg.f64 (/.f64 (*.f64 n n) (*.f64 i i))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n (+.f64 n n)))) (/.f64 #s(literal 1 binary64) (*.f64 i i)))) (neg.f64 (fma.f64 n (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (neg.f64 n)) (*.f64 n (+.f64 n n))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 n (neg.f64 n)) (*.f64 n (+.f64 n n))) (/.f64 #s(literal 1 binary64) (*.f64 i i)))) (*.f64 n (+.f64 n n)))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (+.f64 (/.f64 (*.f64 n (*.f64 n (*.f64 n n))) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 (*.f64 n (*.f64 n (*.f64 n n))) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (neg.f64 (/.f64 (*.f64 n n) (*.f64 i i)))))))
(pow.f64 (/.f64 (*.f64 i i) (*.f64 n (+.f64 n n))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 i i) (*.f64 n (+.f64 n n))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 i (/.f64 (*.f64 n (+.f64 n n)) i)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 n n)) (*.f64 i i)))
(*.f64 n (*.f64 (+.f64 n n) (/.f64 #s(literal 1 binary64) (*.f64 i i))))
(*.f64 n (/.f64 (+.f64 n n) (*.f64 i i)))
(*.f64 (/.f64 n i) (/.f64 (+.f64 n n) i))
(*.f64 (/.f64 n i) (pow.f64 (/.f64 i (+.f64 n n)) #s(literal -1 binary64)))
(*.f64 (*.f64 n (+.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(*.f64 (*.f64 n (+.f64 n n)) (/.f64 #s(literal -1 binary64) (*.f64 i i)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (*.f64 n (+.f64 n n)) i))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) (*.f64 n (+.f64 n n)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (+.f64 n n))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 n (+.f64 n n)) i) (/.f64 #s(literal 1 binary64) i))
(*.f64 (pow.f64 (/.f64 (*.f64 i i) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n (+.f64 n n))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 n (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (neg.f64 n)) (*.f64 n (+.f64 n n))))))
(*.f64 (pow.f64 (/.f64 (*.f64 i i) (*.f64 (*.f64 n (neg.f64 n)) (*.f64 n (+.f64 n n)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 n (+.f64 n n))))

simplify434.0ms (2.8%)

Memory
-13.2MiB live, 554.0MiB allocated
Algorithm
1×egg-herbie
Rules
17 104×accelerator-lowering-fma.f32
17 104×accelerator-lowering-fma.f64
4 580×*-lowering-*.f32
4 580×*-lowering-*.f64
3 640×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01712869
15422770
216202684
343552678
084112453
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
Calls
Call 1
Inputs
(* 100 n)
(+ (* 50 (* i n)) (* 100 n))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
100
(+ 100 (* 50 i))
(+ 100 (* i (+ 50 (* 50/3 i))))
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))
(* 100 (/ (- (exp i) 1) i))
(* 100 (/ (- (exp i) 1) i))
(* 100 (/ (- (exp i) 1) i))
(* 100 (/ (- (exp i) 1) i))
(* 100 (/ (- (exp i) 1) i))
(* 100 (/ (- (exp i) 1) i))
(* 100 (/ (- (exp i) 1) i))
(* 100 (/ (- (exp i) 1) i))
(* 100 i)
(* i (+ 100 (* 50 i)))
(* i (+ 100 (* i (+ 50 (* 50/3 i)))))
(* i (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(* 100 (- (exp i) 1))
(* 100 (- (exp i) 1))
(* 100 (- (exp i) 1))
(* 100 (- (exp i) 1))
(* 100 (- (exp i) 1))
(* 100 (- (exp i) 1))
(* 100 (- (exp i) 1))
(* 100 (- (exp i) 1))
i
(* i (+ 1 (* 1/2 i)))
(* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(* 100 n)
(+ (* 50 (* i n)) (* 100 n))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
(* 25/6 (* (pow i 3) n))
(* (pow i 3) (+ (* 25/6 n) (* 50/3 (/ n i))))
(* (pow i 3) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (* 50 (/ n (pow i 2))))))
(* (pow i 3) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (+ (* 50 (/ n (pow i 2))) (* 100 (/ n (pow i 3)))))))
(* 25/6 (* (pow i 3) n))
(* -1 (* (pow i 3) (+ (* -50/3 (/ n i)) (* -25/6 n))))
(* -1 (* (pow i 3) (+ (* -25/6 n) (* -1 (/ (+ (* 50/3 n) (* 50 (/ n i))) i)))))
(* -1 (* (pow i 3) (+ (* -25/6 n) (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ n i)) (* -50 n)) i)) (* 50/3 n)) i)))))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(* -1 (* n (- (* i (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)) 100)))
(* -1 (* n (- (* i (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)) 100)))
(* -1 (* n (- (* i (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)) 100)))
(* -1 (* n (- (* i (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)) 100)))
(* 50 n)
(+ (* 50/3 (* i n)) (* 50 n))
(+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))
(+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))
(* 25/6 (* (pow i 2) n))
(* (pow i 2) (+ (* 25/6 n) (* 50/3 (/ n i))))
(* (pow i 2) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (* 50 (/ n (pow i 2))))))
(* (pow i 2) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (* 50 (/ n (pow i 2))))))
(* 25/6 (* (pow i 2) n))
(* (pow i 2) (+ (* 25/6 n) (* 50/3 (/ n i))))
(* (pow i 2) (+ (* -1 (/ (+ (* -50 (/ n i)) (* -50/3 n)) i)) (* 25/6 n)))
(* (pow i 2) (+ (* -1 (/ (+ (* -50 (/ n i)) (* -50/3 n)) i)) (* 25/6 n)))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(* -1 (* n (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)))
(* -1 (* n (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)))
(* -1 (* n (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)))
(* -1 (* n (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)))
(* n (+ 50/3 (* 25/6 i)))
(* n (+ 50/3 (* 25/6 i)))
(* n (+ 50/3 (* 25/6 i)))
(* n (+ 50/3 (* 25/6 i)))
(* n (+ 50/3 (* 25/6 i)))
(* n (+ 50/3 (* 25/6 i)))
(* n (+ 50/3 (* 25/6 i)))
(* n (+ 50/3 (* 25/6 i)))
(* n (+ 50/3 (* 25/6 i)))
(* n (+ 50/3 (* 25/6 i)))
(* n (+ 50/3 (* 25/6 i)))
(* n (+ 50/3 (* 25/6 i)))
(* 50/3 n)
(+ (* 25/6 (* i n)) (* 50/3 n))
(+ (* 25/6 (* i n)) (* 50/3 n))
(+ (* 25/6 (* i n)) (* 50/3 n))
(* 25/6 (* i n))
(* i (+ (* 25/6 n) (* 50/3 (/ n i))))
(* i (+ (* 25/6 n) (* 50/3 (/ n i))))
(* i (+ (* 25/6 n) (* 50/3 (/ n i))))
(* 25/6 (* i n))
(* -1 (* i (+ (* -50/3 (/ n i)) (* -25/6 n))))
(* -1 (* i (+ (* -50/3 (/ n i)) (* -25/6 n))))
(* -1 (* i (+ (* -50/3 (/ n i)) (* -25/6 n))))
50/3
(+ 50/3 (* 25/6 i))
(+ 50/3 (* 25/6 i))
(+ 50/3 (* 25/6 i))
(* 25/6 i)
(* i (+ 25/6 (* 50/3 (/ 1 i))))
(* i (+ 25/6 (* 50/3 (/ 1 i))))
(* i (+ 25/6 (* 50/3 (/ 1 i))))
(* 25/6 i)
(* i (+ 25/6 (* 50/3 (/ 1 i))))
(* i (+ 25/6 (* 50/3 (/ 1 i))))
(* i (+ 25/6 (* 50/3 (/ 1 i))))
0
0
0
0
0
0
0
0
0
0
0
0
(/ (+ (* -100 n) (* 100 n)) i)
(/ (+ (* -100 n) (* 100 n)) i)
(/ (+ (* -100 n) (* 100 n)) i)
(/ (+ (* -100 n) (* 100 n)) i)
(/ (+ (* -100 n) (* 100 n)) i)
(/ (+ (* -100 n) (* 100 n)) i)
(/ (+ (* -100 n) (* 100 n)) i)
(/ (+ (* -100 n) (* 100 n)) i)
(* -1 (/ (+ (* -100 n) (* 100 n)) i))
(* -1 (/ (+ (* -100 n) (* 100 n)) i))
(* -1 (/ (+ (* -100 n) (* 100 n)) i))
(* -1 (/ (+ (* -100 n) (* 100 n)) i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 (/ n i))
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* 3 (/ (pow n 2) (pow i 2)))
(* 3 (/ (pow n 2) (pow i 2)))
(* 3 (/ (pow n 2) (pow i 2)))
(* 3 (/ (pow n 2) (pow i 2)))
(* 3 (/ (pow n 2) (pow i 2)))
(* 3 (/ (pow n 2) (pow i 2)))
(* 3 (/ (pow n 2) (pow i 2)))
(* 3 (/ (pow n 2) (pow i 2)))
(* 3 (/ (pow n 2) (pow i 2)))
(* 3 (/ (pow n 2) (pow i 2)))
(* 3 (/ (pow n 2) (pow i 2)))
(* 3 (/ (pow n 2) (pow i 2)))
(/ (- (* 2 (pow n 2)) (* -1 (pow n 2))) (pow i 2))
(/ (- (* 2 (pow n 2)) (* -1 (pow n 2))) (pow i 2))
(/ (- (* 2 (pow n 2)) (* -1 (pow n 2))) (pow i 2))
(/ (- (* 2 (pow n 2)) (* -1 (pow n 2))) (pow i 2))
(/ (- (* 2 (pow n 2)) (* -1 (pow n 2))) (pow i 2))
(/ (- (* 2 (pow n 2)) (* -1 (pow n 2))) (pow i 2))
(/ (- (* 2 (pow n 2)) (* -1 (pow n 2))) (pow i 2))
(/ (- (* 2 (pow n 2)) (* -1 (pow n 2))) (pow i 2))
(/ (- (* 2 (pow n 2)) (* -1 (pow n 2))) (pow i 2))
(/ (- (* 2 (pow n 2)) (* -1 (pow n 2))) (pow i 2))
(/ (- (* 2 (pow n 2)) (* -1 (pow n 2))) (pow i 2))
(/ (- (* 2 (pow n 2)) (* -1 (pow n 2))) (pow i 2))
(* 2/3 (/ n i))
(* 2/3 (/ n i))
(* 2/3 (/ n i))
(* 2/3 (/ n i))
(* 2/3 (/ n i))
(* 2/3 (/ n i))
(* 2/3 (/ n i))
(* 2/3 (/ n i))
(* 2/3 (/ n i))
(* 2/3 (/ n i))
(* 2/3 (/ n i))
(* 2/3 (/ n i))
(* 2 (/ (pow n 3) (* i (- (* 2 (pow n 2)) (* -1 (pow n 2))))))
(* 2 (/ (pow n 3) (* i (- (* 2 (pow n 2)) (* -1 (pow n 2))))))
(* 2 (/ (pow n 3) (* i (- (* 2 (pow n 2)) (* -1 (pow n 2))))))
(* 2 (/ (pow n 3) (* i (- (* 2 (pow n 2)) (* -1 (pow n 2))))))
(* 2 (/ (pow n 3) (* i (- (* 2 (pow n 2)) (* -1 (pow n 2))))))
(* 2 (/ (pow n 3) (* i (- (* 2 (pow n 2)) (* -1 (pow n 2))))))
(* 2 (/ (pow n 3) (* i (- (* 2 (pow n 2)) (* -1 (pow n 2))))))
(* 2 (/ (pow n 3) (* i (- (* 2 (pow n 2)) (* -1 (pow n 2))))))
(* 2 (/ (pow n 3) (* i (- (* 2 (pow n 2)) (* -1 (pow n 2))))))
(* 2 (/ (pow n 3) (* i (- (* 2 (pow n 2)) (* -1 (pow n 2))))))
(* 2 (/ (pow n 3) (* i (- (* 2 (pow n 2)) (* -1 (pow n 2))))))
(* 2 (/ (pow n 3) (* i (- (* 2 (pow n 2)) (* -1 (pow n 2))))))
(* 2 (pow n 3))
(* 2 (pow n 3))
(* 2 (pow n 3))
(* 2 (pow n 3))
(* 2 (pow n 3))
(* 2 (pow n 3))
(* 2 (pow n 3))
(* 2 (pow n 3))
(* 2 (pow n 3))
(* 2 (pow n 3))
(* 2 (pow n 3))
(* 2 (pow n 3))
(* 2 (pow n 2))
(* 2 (pow n 2))
(* 2 (pow n 2))
(* 2 (pow n 2))
(* 2 (pow n 2))
(* 2 (pow n 2))
(* 2 (pow n 2))
(* 2 (pow n 2))
(* 2 (pow n 2))
(* 2 (pow n 2))
(* 2 (pow n 2))
(* 2 (pow n 2))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 100 (/ n i))
(* 2 (/ (pow n 3) (pow i 3)))
(* 2 (/ (pow n 3) (pow i 3)))
(* 2 (/ (pow n 3) (pow i 3)))
(* 2 (/ (pow n 3) (pow i 3)))
(* 2 (/ (pow n 3) (pow i 3)))
(* 2 (/ (pow n 3) (pow i 3)))
(* 2 (/ (pow n 3) (pow i 3)))
(* 2 (/ (pow n 3) (pow i 3)))
(* 2 (/ (pow n 3) (pow i 3)))
(* 2 (/ (pow n 3) (pow i 3)))
(* 2 (/ (pow n 3) (pow i 3)))
(* 2 (/ (pow n 3) (pow i 3)))
(* 2 (/ (pow n 3) (pow i 3)))
(* 2 (/ (pow n 3) (pow i 3)))
(* 2 (/ (pow n 3) (pow i 3)))
(* 2 (/ (pow n 3) (pow i 3)))
(* 2 (/ (pow n 3) (pow i 3)))
(* 2 (/ (pow n 3) (pow i 3)))
(* 2 (/ (pow n 3) (pow i 3)))
(* 2 (/ (pow n 3) (pow i 3)))
(* 2 (/ (pow n 3) (pow i 3)))
(* 2 (/ (pow n 3) (pow i 3)))
(* 2 (/ (pow n 3) (pow i 3)))
(* 2 (/ (pow n 3) (pow i 3)))
(/ (pow n 2) (pow i 2))
(/ (pow n 2) (pow i 2))
(/ (pow n 2) (pow i 2))
(/ (pow n 2) (pow i 2))
(/ (pow n 2) (pow i 2))
(/ (pow n 2) (pow i 2))
(/ (pow n 2) (pow i 2))
(/ (pow n 2) (pow i 2))
(/ (pow n 2) (pow i 2))
(/ (pow n 2) (pow i 2))
(/ (pow n 2) (pow i 2))
(/ (pow n 2) (pow i 2))
(/ (pow n 2) (pow i 2))
(/ (pow n 2) (pow i 2))
(/ (pow n 2) (pow i 2))
(/ (pow n 2) (pow i 2))
(/ (pow n 2) (pow i 2))
(/ (pow n 2) (pow i 2))
(/ (pow n 2) (pow i 2))
(/ (pow n 2) (pow i 2))
(/ (pow n 2) (pow i 2))
(/ (pow n 2) (pow i 2))
(/ (pow n 2) (pow i 2))
(/ (pow n 2) (pow i 2))
(* 2 (/ (pow n 2) (pow i 2)))
(* 2 (/ (pow n 2) (pow i 2)))
(* 2 (/ (pow n 2) (pow i 2)))
(* 2 (/ (pow n 2) (pow i 2)))
(* 2 (/ (pow n 2) (pow i 2)))
(* 2 (/ (pow n 2) (pow i 2)))
(* 2 (/ (pow n 2) (pow i 2)))
(* 2 (/ (pow n 2) (pow i 2)))
(* 2 (/ (pow n 2) (pow i 2)))
(* 2 (/ (pow n 2) (pow i 2)))
(* 2 (/ (pow n 2) (pow i 2)))
(* 2 (/ (pow n 2) (pow i 2)))
(/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))
(/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))
(/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))
(/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))
(/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))
(/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))
(/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))
(/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))
(/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))
(/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))
(/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))
(/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))
Outputs
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(+ (* 50 (* i n)) (* 100 n))
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
100
#s(literal 100 binary64)
(+ 100 (* 50 i))
(fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64))
(+ 100 (* i (+ 50 (* 50/3 i))))
(fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64))
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))
(fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))
(* 100 (/ (- (exp i) 1) i))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
(* 100 (/ (- (exp i) 1) i))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
(* 100 (/ (- (exp i) 1) i))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
(* 100 (/ (- (exp i) 1) i))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
(* 100 (/ (- (exp i) 1) i))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
(* 100 (/ (- (exp i) 1) i))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
(* 100 (/ (- (exp i) 1) i))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
(* 100 (/ (- (exp i) 1) i))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)
(* 100 i)
(*.f64 #s(literal 100 binary64) i)
(* i (+ 100 (* 50 i)))
(*.f64 i (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(* i (+ 100 (* i (+ 50 (* 50/3 i)))))
(*.f64 i (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* i (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* 100 (- (exp i) 1))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
(* 100 (- (exp i) 1))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
(* 100 (- (exp i) 1))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
(* 100 (- (exp i) 1))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
(* 100 (- (exp i) 1))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
(* 100 (- (exp i) 1))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
(* 100 (- (exp i) 1))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
(* 100 (- (exp i) 1))
(*.f64 #s(literal 100 binary64) (expm1.f64 i))
i
(* i (+ 1 (* 1/2 i)))
(fma.f64 i (*.f64 i #s(literal 1/2 binary64)) i)
(* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))
(fma.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 i i) i)
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
(fma.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 i i) i)
(- (exp i) 1)
(expm1.f64 i)
(- (exp i) 1)
(expm1.f64 i)
(- (exp i) 1)
(expm1.f64 i)
(- (exp i) 1)
(expm1.f64 i)
(- (exp i) 1)
(expm1.f64 i)
(- (exp i) 1)
(expm1.f64 i)
(- (exp i) 1)
(expm1.f64 i)
(- (exp i) 1)
(expm1.f64 i)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(+ (* 50 (* i n)) (* 100 n))
(*.f64 n (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* 25/6 (* (pow i 3) n))
(*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i (*.f64 n i))))
(* (pow i 3) (+ (* 25/6 n) (* 50/3 (/ n i))))
(*.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) (*.f64 i i)))
(* (pow i 3) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (* 50 (/ n (pow i 2))))))
(*.f64 (*.f64 i i) (fma.f64 n #s(literal 50/3 binary64) (*.f64 i (*.f64 n (+.f64 #s(literal 25/6 binary64) (/.f64 #s(literal 50 binary64) (*.f64 i i)))))))
(* (pow i 3) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (+ (* 50 (/ n (pow i 2))) (* 100 (/ n (pow i 3)))))))
(*.f64 (*.f64 i i) (fma.f64 i (*.f64 (/.f64 n (*.f64 i i)) (+.f64 #s(literal 50 binary64) (/.f64 #s(literal 100 binary64) i))) (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))))
(* 25/6 (* (pow i 3) n))
(*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i (*.f64 n i))))
(* -1 (* (pow i 3) (+ (* -50/3 (/ n i)) (* -25/6 n))))
(*.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) (*.f64 i i)))
(* -1 (* (pow i 3) (+ (* -25/6 n) (* -1 (/ (+ (* 50/3 n) (* 50 (/ n i))) i)))))
(*.f64 i (*.f64 i (*.f64 i (fma.f64 n #s(literal 25/6 binary64) (/.f64 (*.f64 n (+.f64 #s(literal 50/3 binary64) (/.f64 #s(literal 50 binary64) i))) i)))))
(* -1 (* (pow i 3) (+ (* -25/6 n) (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ n i)) (* -50 n)) i)) (* 50/3 n)) i)))))
(*.f64 i (*.f64 (*.f64 i i) (-.f64 (*.f64 n #s(literal 25/6 binary64)) (/.f64 (fma.f64 n #s(literal -50/3 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 #s(literal -100 binary64) i) #s(literal -50 binary64))) i)) i))))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* n (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i)))))))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* -1 (* n (- (* i (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)) 100)))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* -1 (* n (- (* i (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)) 100)))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* -1 (* n (- (* i (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)) 100)))
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(* -1 (* n (- (* i (- (* -1 (* i (+ 50/3 (* 25/6 i)))) 50)) 100)))
(*.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)))
(* 50 n)
(*.f64 n #s(literal 50 binary64))
(+ (* 50/3 (* i n)) (* 50 n))
(*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)))
(+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(* 25/6 (* (pow i 2) n))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i i)))
(* (pow i 2) (+ (* 25/6 n) (* 50/3 (/ n i))))
(*.f64 (*.f64 n i) (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
(* (pow i 2) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (* 50 (/ n (pow i 2))))))
(*.f64 i (fma.f64 n #s(literal 50/3 binary64) (*.f64 i (*.f64 n (+.f64 #s(literal 25/6 binary64) (/.f64 #s(literal 50 binary64) (*.f64 i i)))))))
(* (pow i 2) (+ (* 25/6 n) (+ (* 50/3 (/ n i)) (* 50 (/ n (pow i 2))))))
(*.f64 i (fma.f64 n #s(literal 50/3 binary64) (*.f64 i (*.f64 n (+.f64 #s(literal 25/6 binary64) (/.f64 #s(literal 50 binary64) (*.f64 i i)))))))
(* 25/6 (* (pow i 2) n))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i i)))
(* (pow i 2) (+ (* 25/6 n) (* 50/3 (/ n i))))
(*.f64 (*.f64 n i) (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))
(* (pow i 2) (+ (* -1 (/ (+ (* -50 (/ n i)) (* -50/3 n)) i)) (* 25/6 n)))
(*.f64 i (*.f64 i (fma.f64 n #s(literal 25/6 binary64) (/.f64 (*.f64 n (+.f64 #s(literal 50/3 binary64) (/.f64 #s(literal 50 binary64) i))) i))))
(* (pow i 2) (+ (* -1 (/ (+ (* -50 (/ n i)) (* -50/3 n)) i)) (* 25/6 n)))
(*.f64 i (*.f64 i (fma.f64 n #s(literal 25/6 binary64) (/.f64 (*.f64 n (+.f64 #s(literal 50/3 binary64) (/.f64 #s(literal 50 binary64) i))) i))))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)))
(* n (+ 50 (* i (+ 50/3 (* 25/6 i)))))
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(/.f64 (*.f64 n (*.f64 n (+.f64 n n))) (*.f64 i (*.f64 i i)))
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(/.f64 (*.f64 n (*.f64 n (+.f64 n n))) (*.f64 i (*.f64 i i)))
(* 2 (/ (pow n 3) (pow i 3)))
(/.f64 (*.f64 n (*.f64 n (+.f64 n n))) (*.f64 i (*.f64 i i)))
(* 2 (/ (pow n 3) (pow i 3)))
(/.f64 (*.f64 n (*.f64 n (+.f64 n n))) (*.f64 i (*.f64 i i)))
(* 2 (/ (pow n 3) (pow i 3)))
(/.f64 (*.f64 n (*.f64 n (+.f64 n n))) (*.f64 i (*.f64 i i)))
(* 2 (/ (pow n 3) (pow i 3)))
(/.f64 (*.f64 n (*.f64 n (+.f64 n n))) (*.f64 i (*.f64 i i)))
(* 2 (/ (pow n 3) (pow i 3)))
(/.f64 (*.f64 n (*.f64 n (+.f64 n n))) (*.f64 i (*.f64 i i)))
(* 2 (/ (pow n 3) (pow i 3)))
(/.f64 (*.f64 n (*.f64 n (+.f64 n n))) (*.f64 i (*.f64 i i)))
(* 2 (/ (pow n 3) (pow i 3)))
(/.f64 (*.f64 n (*.f64 n (+.f64 n n))) (*.f64 i (*.f64 i i)))
(* 2 (/ (pow n 3) (pow i 3)))
(/.f64 (*.f64 n (*.f64 n (+.f64 n n))) (*.f64 i (*.f64 i i)))
(* 2 (/ (pow n 3) (pow i 3)))
(/.f64 (*.f64 n (*.f64 n (+.f64 n n))) (*.f64 i (*.f64 i i)))
(* 2 (/ (pow n 3) (pow i 3)))
(/.f64 (*.f64 n (*.f64 n (+.f64 n n))) (*.f64 i (*.f64 i i)))
(/ (pow n 2) (pow i 2))
(/.f64 (*.f64 n n) (*.f64 i i))
(/ (pow n 2) (pow i 2))
(/.f64 (*.f64 n n) (*.f64 i i))
(/ (pow n 2) (pow i 2))
(/.f64 (*.f64 n n) (*.f64 i i))
(/ (pow n 2) (pow i 2))
(/.f64 (*.f64 n n) (*.f64 i i))
(/ (pow n 2) (pow i 2))
(/.f64 (*.f64 n n) (*.f64 i i))
(/ (pow n 2) (pow i 2))
(/.f64 (*.f64 n n) (*.f64 i i))
(/ (pow n 2) (pow i 2))
(/.f64 (*.f64 n n) (*.f64 i i))
(/ (pow n 2) (pow i 2))
(/.f64 (*.f64 n n) (*.f64 i i))
(/ (pow n 2) (pow i 2))
(/.f64 (*.f64 n n) (*.f64 i i))
(/ (pow n 2) (pow i 2))
(/.f64 (*.f64 n n) (*.f64 i i))
(/ (pow n 2) (pow i 2))
(/.f64 (*.f64 n n) (*.f64 i i))
(/ (pow n 2) (pow i 2))
(/.f64 (*.f64 n n) (*.f64 i i))
(/ (pow n 2) (pow i 2))
(/.f64 (*.f64 n n) (*.f64 i i))
(/ (pow n 2) (pow i 2))
(/.f64 (*.f64 n n) (*.f64 i i))
(/ (pow n 2) (pow i 2))
(/.f64 (*.f64 n n) (*.f64 i i))
(/ (pow n 2) (pow i 2))
(/.f64 (*.f64 n n) (*.f64 i i))
(/ (pow n 2) (pow i 2))
(/.f64 (*.f64 n n) (*.f64 i i))
(/ (pow n 2) (pow i 2))
(/.f64 (*.f64 n n) (*.f64 i i))
(/ (pow n 2) (pow i 2))
(/.f64 (*.f64 n n) (*.f64 i i))
(/ (pow n 2) (pow i 2))
(/.f64 (*.f64 n n) (*.f64 i i))
(/ (pow n 2) (pow i 2))
(/.f64 (*.f64 n n) (*.f64 i i))
(/ (pow n 2) (pow i 2))
(/.f64 (*.f64 n n) (*.f64 i i))
(/ (pow n 2) (pow i 2))
(/.f64 (*.f64 n n) (*.f64 i i))
(/ (pow n 2) (pow i 2))
(/.f64 (*.f64 n n) (*.f64 i i))
(* 2 (/ (pow n 2) (pow i 2)))
(/.f64 (*.f64 n (+.f64 n n)) (*.f64 i i))
(* 2 (/ (pow n 2) (pow i 2)))
(/.f64 (*.f64 n (+.f64 n n)) (*.f64 i i))
(* 2 (/ (pow n 2) (pow i 2)))
(/.f64 (*.f64 n (+.f64 n n)) (*.f64 i i))
(* 2 (/ (pow n 2) (pow i 2)))
(/.f64 (*.f64 n (+.f64 n n)) (*.f64 i i))
(* 2 (/ (pow n 2) (pow i 2)))
(/.f64 (*.f64 n (+.f64 n n)) (*.f64 i i))
(* 2 (/ (pow n 2) (pow i 2)))
(/.f64 (*.f64 n (+.f64 n n)) (*.f64 i i))
(* 2 (/ (pow n 2) (pow i 2)))
(/.f64 (*.f64 n (+.f64 n n)) (*.f64 i i))
(* 2 (/ (pow n 2) (pow i 2)))
(/.f64 (*.f64 n (+.f64 n n)) (*.f64 i i))
(* 2 (/ (pow n 2) (pow i 2)))
(/.f64 (*.f64 n (+.f64 n n)) (*.f64 i i))
(* 2 (/ (pow n 2) (pow i 2)))
(/.f64 (*.f64 n (+.f64 n n)) (*.f64 i i))
(* 2 (/ (pow n 2) (pow i 2)))
(/.f64 (*.f64 n (+.f64 n n)) (*.f64 i i))
(* 2 (/ (pow n 2) (pow i 2)))
(/.f64 (*.f64 n (+.f64 n n)) (*.f64 i i))
(/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))
(/.f64 (*.f64 n (+.f64 n n)) (*.f64 i i))
(/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))
(/.f64 (*.f64 n (+.f64 n n)) (*.f64 i i))
(/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))
(/.f64 (*.f64 n (+.f64 n n)) (*.f64 i i))
(/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))
(/.f64 (*.f64 n (+.f64 n n)) (*.f64 i i))
(/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))
(/.f64 (*.f64 n (+.f64 n n)) (*.f64 i i))
(/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))
(/.f64 (*.f64 n (+.f64 n n)) (*.f64 i i))
(/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))
(/.f64 (*.f64 n (+.f64 n n)) (*.f64 i i))
(/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))
(/.f64 (*.f64 n (+.f64 n n)) (*.f64 i i))
(/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))
(/.f64 (*.f64 n (+.f64 n n)) (*.f64 i i))
(/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))
(/.f64 (*.f64 n (+.f64 n n)) (*.f64 i i))
(/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))
(/.f64 (*.f64 n (+.f64 n n)) (*.f64 i i))
(/ (- (pow n 2) (* -1 (pow n 2))) (pow i 2))
(/.f64 (*.f64 n (+.f64 n n)) (*.f64 i i))

eval169.0ms (1.1%)

Memory
40.1MiB live, 255.9MiB allocated
Compiler

Compiled 51 783 to 4 238 computations (91.8% saved)

prune221.0ms (1.4%)

Memory
-23.5MiB live, 389.0MiB allocated
Pruning

78 alts after pruning (73 fresh and 5 done)

PrunedKeptTotal
New1 421331 454
Fresh104050
Picked415
Done044
Total1 435781 513
Accuracy
99.9%
Counts
1 513 → 78
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.1%
(fma.f64 (/.f64 (/.f64 (*.f64 n (*.f64 n n)) (+.f64 #s(literal 0 binary64) (fma.f64 n n (*.f64 #s(literal 0 binary64) n)))) i) #s(literal 100 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
12.1%
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
12.2%
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(literal 100 binary64) n))))
12.7%
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
12.7%
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 #s(literal 1 binary64) i)))
12.5%
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 n (/.f64 #s(literal 100 binary64) i)))
12.3%
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
12.6%
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
19.6%
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
12.7%
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
19.8%
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
12.5%
(fma.f64 (/.f64 #s(literal 100 binary64) i) n (*.f64 (/.f64 n i) #s(literal -100 binary64)))
12.9%
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
19.8%
(fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
12.6%
(fma.f64 (*.f64 n (/.f64 #s(literal -1 binary64) i)) #s(literal 100 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
12.5%
(fma.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(literal -1 binary64) i) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
12.7%
(fma.f64 n (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
12.6%
(fma.f64 n (*.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
56.3%
(fma.f64 n #s(literal 100 binary64) (*.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64)))))
52.2%
(fma.f64 i (*.f64 n #s(literal 50 binary64)) (*.f64 #s(literal 100 binary64) n))
14.4%
(/.f64 (fma.f64 (*.f64 n #s(literal 100 binary64)) i (*.f64 i (*.f64 #s(literal 100 binary64) (neg.f64 n)))) (*.f64 i i))
15.8%
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i (*.f64 i (*.f64 #s(literal 100 binary64) n))) (*.f64 i i))
38.3%
(/.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)
39.2%
(/.f64 (*.f64 (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n)) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n))) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n)))
✓67.3%
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
45.8%
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
7.7%
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
16.7%
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)
18.4%
(+.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
25.7%
(+.f64 (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
28.0%
(*.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))
14.4%
(*.f64 (fma.f64 (*.f64 n #s(literal 100 binary64)) i (*.f64 i (*.f64 #s(literal 100 binary64) (neg.f64 n)))) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
56.3%
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
56.7%
(*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
52.2%
(*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n)
56.5%
(*.f64 (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) i) n)
28.3%
(*.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))
61.8%
(*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 100 binary64) i) n))
51.9%
(*.f64 n (fma.f64 i (+.f64 #s(literal 50 binary64) (/.f64 #s(literal -50 binary64) n)) #s(literal 100 binary64)))
14.4%
(*.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) (*.f64 i i)))
✓49.1%
(*.f64 n #s(literal 100 binary64))
12.5%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 n i)))
56.7%
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) n))
19.0%
(*.f64 #s(literal 100 binary64) (fma.f64 n (pow.f64 (*.f64 i i) #s(literal -1/2 binary64)) (/.f64 n (neg.f64 i))))
12.0%
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 n (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) i)))))
✓12.9%
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
12.3%
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal -1 binary64) (/.f64 i n))))
28.6%
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (*.f64 i (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n)) n))
53.3%
(*.f64 #s(literal 100 binary64) (fma.f64 i (neg.f64 (*.f64 n (+.f64 (neg.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (/.f64 (fma.f64 i (/.f64 (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)) n) (fma.f64 (fma.f64 i #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (neg.f64 i) #s(literal -1/2 binary64))) n))) #s(literal -1/2 binary64)))) n))
18.7%
(*.f64 #s(literal 100 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 #s(literal 1 binary64) n)) (/.f64 n (neg.f64 i))))
1.9%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 n (*.f64 i (neg.f64 i))) (/.f64 (*.f64 n n) i) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
1.0%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) (/.f64 (*.f64 n (*.f64 n n)) i) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
1.5%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) (/.f64 (*.f64 n n) (*.f64 i (*.f64 i i))) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
16.0%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (*.f64 i i)))
15.5%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i n)) (*.f64 i i)))
5.8%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n (/.f64 i (neg.f64 n)) i) (*.f64 i (/.f64 i (neg.f64 n)))))
14.3%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n i (*.f64 i (neg.f64 n))) (*.f64 i i)))
1.5%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 n (neg.f64 n)) n (*.f64 n (*.f64 n n))) (*.f64 i (*.f64 i i))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
1.4%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) i) (*.f64 i (neg.f64 i))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
1.8%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) i) (*.f64 i i)) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
1.5%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 (*.f64 n n) (+.f64 n n)) (*.f64 i (*.f64 i i))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
0.9%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) (neg.f64 (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
1.4%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) i) (*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)) (*.f64 i i))))
22.1%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
1.4%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) i) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)))) (*.f64 i i)))
0.9%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n (*.f64 n (+.f64 n n))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)))) (*.f64 i (*.f64 i i))))
1.7%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n (+.f64 n n)))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 n (*.f64 n (+.f64 n n))))))
7.4%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n))
17.2%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
0.9%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) (*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)) (*.f64 i (*.f64 i i)))))
✓79.0%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
0.9%
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 n (*.f64 n (+.f64 n n))))))
5.7%
(*.f64 #s(literal 100 binary64) (*.f64 (fma.f64 n (/.f64 i (neg.f64 n)) i) (/.f64 #s(literal 1 binary64) (*.f64 i (/.f64 i (neg.f64 n))))))
16.5%
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
11.4%
(*.f64 #s(literal 100 binary64) (*.f64 n (/.f64 #s(literal 2/3 binary64) i)))
17.1%
(*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
14.9%
(*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i (*.f64 n i))))
✓21.1%
#s(literal 0 binary64)
Compiler

Compiled 3 916 to 1 378 computations (64.8% saved)

regimes128.0ms (0.8%)

Memory
5.9MiB live, 122.7MiB allocated
Counts
128 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 n #s(literal 100 binary64))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n)
(/.f64 #s(literal 0 binary64) i)
(fma.f64 i (*.f64 n #s(literal 50 binary64)) (*.f64 #s(literal 100 binary64) n))
(*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i (*.f64 n i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (/.f64 #s(literal 2/3 binary64) i)))
(*.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) (*.f64 i i)))
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) n))
(*.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)
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(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 n (fma.f64 i (+.f64 #s(literal 50 binary64) (/.f64 #s(literal -50 binary64) n)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) n))
(*.f64 (*.f64 n #s(literal 100 binary64)) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.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 (fma.f64 i (*.f64 n #s(literal 1/2 binary64)) n)) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 n i)))
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(fma.f64 n #s(literal 100 binary64) (*.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64)))))
(fma.f64 (/.f64 #s(literal 100 binary64) i) n (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i n)) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
(+.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 n (/.f64 #s(literal 100 binary64) i)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(fma.f64 n (*.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(fma.f64 n (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(literal -1 binary64) i) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(*.f64 (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) i) n)
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i (*.f64 i (*.f64 #s(literal 100 binary64) n))) (*.f64 i i))
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(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
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(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(fma.f64 (*.f64 n (/.f64 #s(literal -1 binary64) i)) #s(literal 100 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal -1 binary64) (/.f64 i n))))
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(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (*.f64 i n) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)) i)
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(literal 100 binary64) n))))
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(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 n (*.f64 i (neg.f64 i))) (/.f64 (*.f64 n n) i) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i 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) (/.f64 #s(literal 1 binary64) 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 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) (/.f64 (*.f64 n (*.f64 n n)) i) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (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) i) n (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i)))
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) 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 n (neg.f64 i))))
(fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64)))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 n (*.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 100 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) i) (/.f64 (*.f64 n n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i (neg.f64 n)) i) (*.f64 i (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (neg.f64 (/.f64 i n))) (neg.f64 (/.f64 i n))) (/.f64 (*.f64 i i) (*.f64 n (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
(/.f64 (*.f64 (*.f64 #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 #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))))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(+.f64 (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(*.f64 n #s(literal 100 binary64))
Calls

4 calls:

34.0ms
n
33.0ms
i
28.0ms
(*.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)))
27.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
91.4%4i
95.5%5n
94.1%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)))
94.1%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)

regimes125.0ms (0.8%)

Memory
0.3MiB live, 120.9MiB allocated
Counts
126 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 n #s(literal 100 binary64))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n)
(/.f64 #s(literal 0 binary64) i)
(fma.f64 i (*.f64 n #s(literal 50 binary64)) (*.f64 #s(literal 100 binary64) n))
(*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i (*.f64 n i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (/.f64 #s(literal 2/3 binary64) i)))
(*.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) (*.f64 i i)))
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) n))
(*.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)
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 n (fma.f64 i (+.f64 #s(literal 50 binary64) (/.f64 #s(literal -50 binary64) n)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) n))
(*.f64 (*.f64 n #s(literal 100 binary64)) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.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 (fma.f64 i (*.f64 n #s(literal 1/2 binary64)) n)) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 n i)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 #s(literal 50 binary64) n)) (*.f64 #s(literal 100 binary64) n))
(fma.f64 n #s(literal 100 binary64) (*.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64)))))
(fma.f64 (/.f64 #s(literal 100 binary64) i) n (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i n)) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
(+.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 n (/.f64 #s(literal 100 binary64) i)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(fma.f64 n (*.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(fma.f64 n (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(literal -1 binary64) i) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(*.f64 (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) i) n)
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i (*.f64 i (*.f64 #s(literal 100 binary64) n))) (*.f64 i i))
(/.f64 (fma.f64 (*.f64 n #s(literal 100 binary64)) i (*.f64 i (*.f64 #s(literal 100 binary64) (neg.f64 n)))) (*.f64 i i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 #s(literal 1 binary64) i)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(fma.f64 (*.f64 n (/.f64 #s(literal -1 binary64) i)) #s(literal 100 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal -1 binary64) (/.f64 i n))))
(*.f64 (fma.f64 (*.f64 n #s(literal 100 binary64)) i (*.f64 i (*.f64 #s(literal 100 binary64) (neg.f64 n)))) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(/.f64 (*.f64 (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) #s(literal 100 binary64)) i)
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (*.f64 i n) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)) i)
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(literal 100 binary64) n))))
(*.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 #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n (/.f64 i (neg.f64 n)) i) (*.f64 i (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) (/.f64 (+.f64 i (*.f64 (/.f64 i (neg.f64 n)) n)) (*.f64 (/.f64 i (neg.f64 n)) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 #s(literal 1 binary64) n)) (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 n (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) i)))))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) n) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(literal 100 binary64) (*.f64 (fma.f64 n (/.f64 i (neg.f64 n)) i) (/.f64 #s(literal 1 binary64) (*.f64 i (/.f64 i (neg.f64 n))))))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
(fma.f64 (/.f64 (/.f64 (*.f64 n (*.f64 n n)) (+.f64 #s(literal 0 binary64) (fma.f64 n n (*.f64 #s(literal 0 binary64) n)))) i) #s(literal 100 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 n #s(literal 100 binary64) (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 (*.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) (*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)) (*.f64 i (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) i) (*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)) (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (fma.f64 i (neg.f64 (*.f64 n (+.f64 (neg.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (/.f64 (fma.f64 i (/.f64 (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)) n) (fma.f64 (fma.f64 i #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (neg.f64 i) #s(literal -1/2 binary64))) n))) #s(literal -1/2 binary64)))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 n (*.f64 n (+.f64 n n))))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n (*.f64 n (+.f64 n n))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)))) (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (*.f64 i (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) i) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)))) (*.f64 i i)))
(*.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 (/.f64 (*.f64 (*.f64 n n) (+.f64 n n)) (*.f64 i (*.f64 i i))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) (neg.f64 (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n (+.f64 n n)))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 n (*.f64 n (+.f64 n n))))))
(/.f64 (fma.f64 n (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 i i)) (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64))) (*.f64 n n))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) i) (*.f64 i i)) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) i) (*.f64 i (neg.f64 i))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 n (neg.f64 n)) n (*.f64 n (*.f64 n n))) (*.f64 i (*.f64 i i))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(/.f64 (*.f64 (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n)) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n))) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (*.f64 n (*.f64 n n)) (neg.f64 (*.f64 n (*.f64 n n)))) (*.f64 i (*.f64 i i))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 100 binary64) i) n))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) #s(literal 100 binary64))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (exp.f64 i) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 n (pow.f64 (*.f64 i i) #s(literal -1/2 binary64)) (/.f64 n (neg.f64 i))))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) #s(literal 1 binary64)) (/.f64 n i))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) (/.f64 (*.f64 n n) (*.f64 i (*.f64 i i))) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(*.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 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (exp.f64 i) n) (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 n (*.f64 i (neg.f64 i))) (/.f64 (*.f64 n n) i) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i 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) (/.f64 #s(literal 1 binary64) 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 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) (/.f64 (*.f64 n (*.f64 n n)) i) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (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) i) n (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i)))
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) 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 n (neg.f64 i))))
(fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64)))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 n (*.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 100 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) i) (/.f64 (*.f64 n n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i (neg.f64 n)) i) (*.f64 i (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (neg.f64 (/.f64 i n))) (neg.f64 (/.f64 i n))) (/.f64 (*.f64 i i) (*.f64 n (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
(/.f64 (*.f64 (*.f64 #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 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)
Calls

4 calls:

33.0ms
i
32.0ms
n
27.0ms
(*.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)))
26.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
78.0%2i
84.5%3n
77.8%3(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
77.8%3(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes39.0ms (0.2%)

Memory
-6.0MiB live, 32.5MiB allocated
Counts
125 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 n #s(literal 100 binary64))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n)
(/.f64 #s(literal 0 binary64) i)
(fma.f64 i (*.f64 n #s(literal 50 binary64)) (*.f64 #s(literal 100 binary64) n))
(*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i (*.f64 n i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (/.f64 #s(literal 2/3 binary64) i)))
(*.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) (*.f64 i i)))
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) n))
(*.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)
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 n (fma.f64 i (+.f64 #s(literal 50 binary64) (/.f64 #s(literal -50 binary64) n)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) n))
(*.f64 (*.f64 n #s(literal 100 binary64)) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.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 (fma.f64 i (*.f64 n #s(literal 1/2 binary64)) n)) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 n i)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 #s(literal 50 binary64) n)) (*.f64 #s(literal 100 binary64) n))
(fma.f64 n #s(literal 100 binary64) (*.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64)))))
(fma.f64 (/.f64 #s(literal 100 binary64) i) n (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i n)) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
(+.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 n (/.f64 #s(literal 100 binary64) i)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(fma.f64 n (*.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(fma.f64 n (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(literal -1 binary64) i) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(*.f64 (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) i) n)
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i (*.f64 i (*.f64 #s(literal 100 binary64) n))) (*.f64 i i))
(/.f64 (fma.f64 (*.f64 n #s(literal 100 binary64)) i (*.f64 i (*.f64 #s(literal 100 binary64) (neg.f64 n)))) (*.f64 i i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 #s(literal 1 binary64) i)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(fma.f64 (*.f64 n (/.f64 #s(literal -1 binary64) i)) #s(literal 100 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal -1 binary64) (/.f64 i n))))
(*.f64 (fma.f64 (*.f64 n #s(literal 100 binary64)) i (*.f64 i (*.f64 #s(literal 100 binary64) (neg.f64 n)))) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(/.f64 (*.f64 (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) #s(literal 100 binary64)) i)
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (*.f64 i n) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)) i)
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(literal 100 binary64) n))))
(*.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 #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n (/.f64 i (neg.f64 n)) i) (*.f64 i (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) (/.f64 (+.f64 i (*.f64 (/.f64 i (neg.f64 n)) n)) (*.f64 (/.f64 i (neg.f64 n)) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 #s(literal 1 binary64) n)) (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 n (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) i)))))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) n) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(literal 100 binary64) (*.f64 (fma.f64 n (/.f64 i (neg.f64 n)) i) (/.f64 #s(literal 1 binary64) (*.f64 i (/.f64 i (neg.f64 n))))))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
(fma.f64 (/.f64 (/.f64 (*.f64 n (*.f64 n n)) (+.f64 #s(literal 0 binary64) (fma.f64 n n (*.f64 #s(literal 0 binary64) n)))) i) #s(literal 100 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 n #s(literal 100 binary64) (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 (*.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) (*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)) (*.f64 i (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) i) (*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)) (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (fma.f64 i (neg.f64 (*.f64 n (+.f64 (neg.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (/.f64 (fma.f64 i (/.f64 (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)) n) (fma.f64 (fma.f64 i #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (neg.f64 i) #s(literal -1/2 binary64))) n))) #s(literal -1/2 binary64)))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 n (*.f64 n (+.f64 n n))))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n (*.f64 n (+.f64 n n))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)))) (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (*.f64 i (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) i) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)))) (*.f64 i i)))
(*.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 (/.f64 (*.f64 (*.f64 n n) (+.f64 n n)) (*.f64 i (*.f64 i i))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) (neg.f64 (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n (+.f64 n n)))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 n (*.f64 n (+.f64 n n))))))
(/.f64 (fma.f64 n (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 i i)) (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64))) (*.f64 n n))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) i) (*.f64 i i)) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) i) (*.f64 i (neg.f64 i))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 n (neg.f64 n)) n (*.f64 n (*.f64 n n))) (*.f64 i (*.f64 i i))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(/.f64 (*.f64 (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n)) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n))) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (*.f64 n (*.f64 n n)) (neg.f64 (*.f64 n (*.f64 n n)))) (*.f64 i (*.f64 i i))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 100 binary64) i) n))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) #s(literal 100 binary64))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (exp.f64 i) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 n (pow.f64 (*.f64 i i) #s(literal -1/2 binary64)) (/.f64 n (neg.f64 i))))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) #s(literal 1 binary64)) (/.f64 n i))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) (/.f64 (*.f64 n n) (*.f64 i (*.f64 i i))) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(*.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 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (exp.f64 i) n) (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 n (*.f64 i (neg.f64 i))) (/.f64 (*.f64 n n) i) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i 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) (/.f64 #s(literal 1 binary64) 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 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) (/.f64 (*.f64 n (*.f64 n n)) i) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (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) i) n (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i)))
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) 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 n (neg.f64 i))))
(fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64)))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 n (*.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 100 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) i) (/.f64 (*.f64 n n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i (neg.f64 n)) i) (*.f64 i (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (neg.f64 (/.f64 i n))) (neg.f64 (/.f64 i n))) (/.f64 (*.f64 i i) (*.f64 n (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
(*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 #s(literal 100 binary64) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (*.f64 n n) i)))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)
Outputs
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)
Calls

1 calls:

31.0ms
n
Results
AccuracySegmentsBranch
84.5%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes38.0ms (0.2%)

Memory
33.1MiB live, 33.1MiB allocated
Counts
122 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 n #s(literal 100 binary64))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n)
(/.f64 #s(literal 0 binary64) i)
(fma.f64 i (*.f64 n #s(literal 50 binary64)) (*.f64 #s(literal 100 binary64) n))
(*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i (*.f64 n i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (/.f64 #s(literal 2/3 binary64) i)))
(*.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) (*.f64 i i)))
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) n))
(*.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)
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 n (fma.f64 i (+.f64 #s(literal 50 binary64) (/.f64 #s(literal -50 binary64) n)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) n))
(*.f64 (*.f64 n #s(literal 100 binary64)) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.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 (fma.f64 i (*.f64 n #s(literal 1/2 binary64)) n)) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 n i)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 #s(literal 50 binary64) n)) (*.f64 #s(literal 100 binary64) n))
(fma.f64 n #s(literal 100 binary64) (*.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64)))))
(fma.f64 (/.f64 #s(literal 100 binary64) i) n (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i n)) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
(+.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 n (/.f64 #s(literal 100 binary64) i)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(fma.f64 n (*.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(fma.f64 n (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(literal -1 binary64) i) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(*.f64 (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) i) n)
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i (*.f64 i (*.f64 #s(literal 100 binary64) n))) (*.f64 i i))
(/.f64 (fma.f64 (*.f64 n #s(literal 100 binary64)) i (*.f64 i (*.f64 #s(literal 100 binary64) (neg.f64 n)))) (*.f64 i i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 #s(literal 1 binary64) i)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(fma.f64 (*.f64 n (/.f64 #s(literal -1 binary64) i)) #s(literal 100 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal -1 binary64) (/.f64 i n))))
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(/.f64 (*.f64 (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) #s(literal 100 binary64)) i)
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (*.f64 i n) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)) i)
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(literal 100 binary64) n))))
(*.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 #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n (/.f64 i (neg.f64 n)) i) (*.f64 i (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) (/.f64 (+.f64 i (*.f64 (/.f64 i (neg.f64 n)) n)) (*.f64 (/.f64 i (neg.f64 n)) i)))
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(*.f64 #s(literal 100 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 #s(literal 1 binary64) n)) (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 n (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) i)))))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) n) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(literal 100 binary64) (*.f64 (fma.f64 n (/.f64 i (neg.f64 n)) i) (/.f64 #s(literal 1 binary64) (*.f64 i (/.f64 i (neg.f64 n))))))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
(fma.f64 (/.f64 (/.f64 (*.f64 n (*.f64 n n)) (+.f64 #s(literal 0 binary64) (fma.f64 n n (*.f64 #s(literal 0 binary64) n)))) i) #s(literal 100 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 n #s(literal 100 binary64) (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 (*.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) (*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)) (*.f64 i (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) i) (*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)) (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (fma.f64 i (neg.f64 (*.f64 n (+.f64 (neg.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (/.f64 (fma.f64 i (/.f64 (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)) n) (fma.f64 (fma.f64 i #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (neg.f64 i) #s(literal -1/2 binary64))) n))) #s(literal -1/2 binary64)))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 n (*.f64 n (+.f64 n n))))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n (*.f64 n (+.f64 n n))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)))) (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (*.f64 i (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) i) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)))) (*.f64 i i)))
(*.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 (/.f64 (*.f64 (*.f64 n n) (+.f64 n n)) (*.f64 i (*.f64 i i))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) (neg.f64 (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n (+.f64 n n)))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 n (*.f64 n (+.f64 n n))))))
(/.f64 (fma.f64 n (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 i i)) (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64))) (*.f64 n n))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) i) (*.f64 i i)) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) i) (*.f64 i (neg.f64 i))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 n (neg.f64 n)) n (*.f64 n (*.f64 n n))) (*.f64 i (*.f64 i i))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(/.f64 (*.f64 (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n)) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n))) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (*.f64 n (*.f64 n n)) (neg.f64 (*.f64 n (*.f64 n n)))) (*.f64 i (*.f64 i i))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 100 binary64) i) n))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) #s(literal 100 binary64))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (exp.f64 i) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 n (pow.f64 (*.f64 i i) #s(literal -1/2 binary64)) (/.f64 n (neg.f64 i))))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) #s(literal 1 binary64)) (/.f64 n i))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) (/.f64 (*.f64 n n) (*.f64 i (*.f64 i i))) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(*.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 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) i) n)
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (exp.f64 i) n) (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (/.f64 n (*.f64 i (neg.f64 i))) (/.f64 (*.f64 n n) i) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i 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) (/.f64 #s(literal 1 binary64) 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 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) (/.f64 (*.f64 n (*.f64 n n)) i) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (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) i) n (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i)))
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) 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 n (neg.f64 i))))
(fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) #s(literal 100 binary64) (*.f64 (/.f64 n (neg.f64 i)) #s(literal 100 binary64)))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (*.f64 (/.f64 n i) (*.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 n (*.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 100 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) i) (/.f64 (*.f64 n n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i (neg.f64 n)) i) (*.f64 i (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (neg.f64 (/.f64 i n))) (neg.f64 (/.f64 i n))) (/.f64 (*.f64 i i) (*.f64 n (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) i))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)))
Outputs
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)
#s(literal 0 binary64)
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)
Calls

1 calls:

32.0ms
n
Results
AccuracySegmentsBranch
83.9%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes30.0ms (0.2%)

Memory
-12.7MiB live, 25.2MiB allocated
Counts
90 → 5
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 n #s(literal 100 binary64))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n)
(/.f64 #s(literal 0 binary64) i)
(fma.f64 i (*.f64 n #s(literal 50 binary64)) (*.f64 #s(literal 100 binary64) n))
(*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i (*.f64 n i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (/.f64 #s(literal 2/3 binary64) i)))
(*.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) (*.f64 i i)))
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) n))
(*.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)
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
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(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) n))
(*.f64 (*.f64 n #s(literal 100 binary64)) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
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(*.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 (fma.f64 i (*.f64 n #s(literal 1/2 binary64)) n)) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 n i)))
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(fma.f64 n #s(literal 100 binary64) (*.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64)))))
(fma.f64 (/.f64 #s(literal 100 binary64) i) n (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i n)) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
(+.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 n (/.f64 #s(literal 100 binary64) i)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(fma.f64 n (*.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(fma.f64 n (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(literal -1 binary64) i) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(*.f64 (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) i) n)
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i (*.f64 i (*.f64 #s(literal 100 binary64) n))) (*.f64 i i))
(/.f64 (fma.f64 (*.f64 n #s(literal 100 binary64)) i (*.f64 i (*.f64 #s(literal 100 binary64) (neg.f64 n)))) (*.f64 i i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 #s(literal 1 binary64) i)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(fma.f64 (*.f64 n (/.f64 #s(literal -1 binary64) i)) #s(literal 100 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal -1 binary64) (/.f64 i n))))
(*.f64 (fma.f64 (*.f64 n #s(literal 100 binary64)) i (*.f64 i (*.f64 #s(literal 100 binary64) (neg.f64 n)))) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(/.f64 (*.f64 (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) #s(literal 100 binary64)) i)
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (*.f64 i n) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)) i)
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(literal 100 binary64) n))))
(*.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 #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n (/.f64 i (neg.f64 n)) i) (*.f64 i (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) (/.f64 (+.f64 i (*.f64 (/.f64 i (neg.f64 n)) n)) (*.f64 (/.f64 i (neg.f64 n)) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 #s(literal 1 binary64) n)) (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 n (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) i)))))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) n) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(literal 100 binary64) (*.f64 (fma.f64 n (/.f64 i (neg.f64 n)) i) (/.f64 #s(literal 1 binary64) (*.f64 i (/.f64 i (neg.f64 n))))))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
(fma.f64 (/.f64 (/.f64 (*.f64 n (*.f64 n n)) (+.f64 #s(literal 0 binary64) (fma.f64 n n (*.f64 #s(literal 0 binary64) n)))) i) #s(literal 100 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 n #s(literal 100 binary64) (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 (*.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) (*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)) (*.f64 i (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) i) (*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)) (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (fma.f64 i (neg.f64 (*.f64 n (+.f64 (neg.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (/.f64 (fma.f64 i (/.f64 (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)) n) (fma.f64 (fma.f64 i #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (neg.f64 i) #s(literal -1/2 binary64))) n))) #s(literal -1/2 binary64)))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 n (*.f64 n (+.f64 n n))))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n (*.f64 n (+.f64 n n))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)))) (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (*.f64 i (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) i) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)))) (*.f64 i i)))
(*.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 (/.f64 (*.f64 (*.f64 n n) (+.f64 n n)) (*.f64 i (*.f64 i i))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) (neg.f64 (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n (+.f64 n n)))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 n (*.f64 n (+.f64 n n))))))
(/.f64 (fma.f64 n (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 i i)) (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64))) (*.f64 n n))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) i) (*.f64 i i)) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) i) (*.f64 i (neg.f64 i))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 n (neg.f64 n)) n (*.f64 n (*.f64 n n))) (*.f64 i (*.f64 i i))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(/.f64 (*.f64 (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n)) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n))) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (*.f64 n (*.f64 n n)) (neg.f64 (*.f64 n (*.f64 n n)))) (*.f64 i (*.f64 i i))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 100 binary64) i) n))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) #s(literal 100 binary64))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
#s(literal 0 binary64)
(*.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:

25.0ms
n
Results
AccuracySegmentsBranch
84.5%5n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes92.0ms (0.6%)

Memory
-23.0MiB live, 72.0MiB allocated
Counts
87 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 n #s(literal 100 binary64))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n)
(/.f64 #s(literal 0 binary64) i)
(fma.f64 i (*.f64 n #s(literal 50 binary64)) (*.f64 #s(literal 100 binary64) n))
(*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i (*.f64 n i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (/.f64 #s(literal 2/3 binary64) i)))
(*.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) (*.f64 i i)))
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) n))
(*.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)
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 n (fma.f64 i (+.f64 #s(literal 50 binary64) (/.f64 #s(literal -50 binary64) n)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) n))
(*.f64 (*.f64 n #s(literal 100 binary64)) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.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 (fma.f64 i (*.f64 n #s(literal 1/2 binary64)) n)) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 n i)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 #s(literal 50 binary64) n)) (*.f64 #s(literal 100 binary64) n))
(fma.f64 n #s(literal 100 binary64) (*.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64)))))
(fma.f64 (/.f64 #s(literal 100 binary64) i) n (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i n)) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
(+.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 n (/.f64 #s(literal 100 binary64) i)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(fma.f64 n (*.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(fma.f64 n (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(literal -1 binary64) i) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(*.f64 (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) i) n)
(/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i (*.f64 i (*.f64 #s(literal 100 binary64) n))) (*.f64 i i))
(/.f64 (fma.f64 (*.f64 n #s(literal 100 binary64)) i (*.f64 i (*.f64 #s(literal 100 binary64) (neg.f64 n)))) (*.f64 i i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 #s(literal 1 binary64) i)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (/.f64 #s(literal 100 binary64) (/.f64 i n)))
(fma.f64 (*.f64 n (/.f64 #s(literal -1 binary64) i)) #s(literal 100 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal -1 binary64) (/.f64 i n))))
(*.f64 (fma.f64 (*.f64 n #s(literal 100 binary64)) i (*.f64 i (*.f64 #s(literal 100 binary64) (neg.f64 n)))) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(/.f64 (*.f64 (*.f64 n (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) i)) #s(literal 100 binary64)) i)
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) i) (fma.f64 (*.f64 i n) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)) i)
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 #s(literal 100 binary64) n))))
(*.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 #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n (/.f64 i (neg.f64 n)) i) (*.f64 i (/.f64 i (neg.f64 n)))))
(*.f64 #s(literal 100 binary64) (/.f64 (+.f64 i (*.f64 (/.f64 i (neg.f64 n)) n)) (*.f64 (/.f64 i (neg.f64 n)) i)))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 #s(literal 1 binary64) n)) (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 n (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) i)))))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) n) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(literal 100 binary64) (*.f64 (fma.f64 n (/.f64 i (neg.f64 n)) i) (/.f64 #s(literal 1 binary64) (*.f64 i (/.f64 i (neg.f64 n))))))
(/.f64 (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 i i) #s(literal 100/3 binary64))) n)
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
(fma.f64 (/.f64 (/.f64 (*.f64 n (*.f64 n n)) (+.f64 #s(literal 0 binary64) (fma.f64 n n (*.f64 #s(literal 0 binary64) n)))) i) #s(literal 100 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64))))
(fma.f64 n #s(literal 100 binary64) (*.f64 (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 (*.f64 n i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) (*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)) (*.f64 i (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) i) (*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)) (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (fma.f64 i (neg.f64 (*.f64 n (+.f64 (neg.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (/.f64 (fma.f64 i (/.f64 (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)) n) (fma.f64 (fma.f64 i #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (neg.f64 i) #s(literal -1/2 binary64))) n))) #s(literal -1/2 binary64)))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 n (*.f64 n (+.f64 n n))))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n (*.f64 n (+.f64 n n))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)))) (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (fma.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (*.f64 i (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) i) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)))) (*.f64 i i)))
(*.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 (/.f64 (*.f64 (*.f64 n n) (+.f64 n n)) (*.f64 i (*.f64 i i))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) (neg.f64 (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n (+.f64 n n)))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 n (+.f64 n n))) (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 n (*.f64 n (+.f64 n n))))))
(/.f64 (fma.f64 n (fma.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 i (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))))) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 i i)) (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)))) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64))) (*.f64 n n))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) i) (*.f64 i i)) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) i) (*.f64 i (neg.f64 i))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 n (neg.f64 n)) n (*.f64 n (*.f64 n n))) (*.f64 i (*.f64 i i))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
(/.f64 (*.f64 (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n)) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n))) (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal -100 binary64) n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (-.f64 (*.f64 n (*.f64 n n)) (neg.f64 (*.f64 n (*.f64 n n)))) (*.f64 i (*.f64 i i))) (+.f64 (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 i i)))))
Outputs
(*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
#s(literal 0 binary64)
(*.f64 (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) i) n)
Calls

4 calls:

24.0ms
i
23.0ms
(*.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)))
22.0ms
n
19.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
56.7%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
56.7%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
63.5%3i
68.1%3n
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes14.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated
Counts
44 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 n #s(literal 100 binary64))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n)
(/.f64 #s(literal 0 binary64) i)
(fma.f64 i (*.f64 n #s(literal 50 binary64)) (*.f64 #s(literal 100 binary64) n))
(*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i (*.f64 n i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (/.f64 #s(literal 2/3 binary64) i)))
(*.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) (*.f64 i i)))
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) n))
(*.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)
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(*.f64 (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 n (fma.f64 i (+.f64 #s(literal 50 binary64) (/.f64 #s(literal -50 binary64) n)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) n))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) n))
(*.f64 (*.f64 n #s(literal 100 binary64)) (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.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 (fma.f64 i (*.f64 n #s(literal 1/2 binary64)) n)) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) i) n (/.f64 n i)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 #s(literal 50 binary64) n)) (*.f64 #s(literal 100 binary64) n))
(fma.f64 n #s(literal 100 binary64) (*.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64)))))
(fma.f64 (/.f64 #s(literal 100 binary64) i) n (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 (/.f64 n i) #s(literal -100 binary64) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(fma.f64 (/.f64 n i) #s(literal 100 binary64) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 n i (*.f64 i (neg.f64 n))) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 n) i (*.f64 i n)) (*.f64 i i)))
(*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
(+.f64 (/.f64 (*.f64 n #s(literal 100 binary64)) i) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 (/.f64 #s(literal 100 binary64) i) (neg.f64 n) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 n (/.f64 #s(literal 100 binary64) i)))
(fma.f64 (/.f64 (neg.f64 n) i) #s(literal 100 binary64) (*.f64 (/.f64 n i) #s(literal 100 binary64)))
(fma.f64 n (*.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 100 binary64)) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(fma.f64 n (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
(fma.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 #s(literal -1 binary64) i) (/.f64 (*.f64 n #s(literal 100 binary64)) i))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n #s(literal 100 binary64)) (*.f64 (/.f64 n i) #s(literal -100 binary64)))
Outputs
(*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
#s(literal 0 binary64)
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) n))
Calls

1 calls:

12.0ms
n
Results
AccuracySegmentsBranch
67.9%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 n #s(literal 100 binary64))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n)
(/.f64 #s(literal 0 binary64) i)
(fma.f64 i (*.f64 n #s(literal 50 binary64)) (*.f64 #s(literal 100 binary64) n))
(*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
(*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i (*.f64 n i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (/.f64 #s(literal 2/3 binary64) i)))
(*.f64 n (*.f64 (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) (*.f64 i i)))
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(/.f64 (*.f64 (*.f64 n i) #s(literal 100 binary64)) i)
(*.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
#s(literal 0 binary64)
(*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n)
Calls

1 calls:

4.0ms
n
Results
AccuracySegmentsBranch
67.9%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory
6.0MiB live, 6.0MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 n #s(literal 100 binary64))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(*.f64 (fma.f64 #s(literal 50 binary64) i #s(literal 100 binary64)) n)
(/.f64 #s(literal 0 binary64) i)
(fma.f64 i (*.f64 n #s(literal 50 binary64)) (*.f64 #s(literal 100 binary64) n))
Outputs
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
#s(literal 0 binary64)
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
Calls

2 calls:

3.0ms
i
2.0ms
n
Results
AccuracySegmentsBranch
62.2%3i
63.3%3n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Memory
-35.0MiB live, 4.5MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 n #s(literal 100 binary64))
Outputs
#s(literal 0 binary64)
(*.f64 n #s(literal 100 binary64))
#s(literal 0 binary64)
Calls

2 calls:

1.0ms
i
1.0ms
n
Results
AccuracySegmentsBranch
61.9%3i
60.0%3n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Memory
6.9MiB live, 6.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#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
21.1%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
21.1%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
21.1%1n
21.1%1i
Compiler

Compiled 38 to 22 computations (42.1% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
0.0
9.539258843754964e-140
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch87.0ms (0.6%)

Memory
19.7MiB live, 58.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
40.0ms
1.6365964784852803e-146
3.416387183471452e-138
39.0ms
-3.4531374139481925e-292
3.2810570711337823e-307
Samples
30.0ms94×2valid
17.0ms127×1valid
13.0ms234×0invalid
5.0ms83×0valid
Compiler

Compiled 533 to 376 computations (29.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-pow: 20.0ms (41.1% of total)
ival-div: 11.0ms (22.6% of total)
ival-add: 5.0ms (10.3% of total)
adjust: 4.0ms (8.2% of total)
ival-sub: 4.0ms (8.2% of total)
ival-mult: 4.0ms (8.2% of total)
exact: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch86.0ms (0.6%)

Memory
-26.4MiB live, 54.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
38.0ms
1.6365964784852803e-146
3.416387183471452e-138
37.0ms
-3.4531374139481925e-292
3.2810570711337823e-307
Samples
26.0ms88×2valid
16.0ms116×1valid
14.0ms202×0invalid
6.0ms100×0valid
Compiler

Compiled 533 to 376 computations (29.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-pow: 19.0ms (42.8% of total)
ival-div: 10.0ms (22.6% of total)
ival-add: 4.0ms (9% of total)
adjust: 4.0ms (9% of total)
ival-sub: 4.0ms (9% of total)
ival-mult: 4.0ms (9% of total)
exact: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch97.0ms (0.6%)

Memory
1.1MiB live, 39.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
37.0ms
1.6365964784852803e-146
3.416387183471452e-138
42.0ms
-9.459518297085148e-249
-3.898010634193702e-261
Samples
36.0ms120×2valid
14.0ms104×1valid
10.0ms186×0invalid
5.0ms80×0valid
Compiler

Compiled 305 to 243 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-pow: 24.0ms (47.3% of total)
ival-div: 10.0ms (19.7% of total)
ival-add: 4.0ms (7.9% of total)
adjust: 4.0ms (7.9% of total)
ival-sub: 4.0ms (7.9% of total)
ival-mult: 4.0ms (7.9% of total)
exact: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch184.0ms (1.2%)

Memory
10.0MiB live, 48.1MiB allocated
Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
53.0ms
1.6117642635998848e-9
2.3012728135125915
38.0ms
1.6365964784852803e-146
3.416387183471452e-138
44.0ms
-9.459518297085148e-249
-3.898010634193702e-261
37.0ms
-2.1862175312150532e-14
-2.0074050533081798e-16
Samples
80.0ms194×2valid
33.0ms201×1valid
16.0ms285×0invalid
10.0ms155×0valid
8.0ms10×3valid
Compiler

Compiled 622 to 464 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
ival-pow: 58.0ms (47.9% of total)
ival-mult: 22.0ms (18.2% of total)
ival-div: 18.0ms (14.9% of total)
adjust: 7.0ms (5.8% of total)
ival-sub: 7.0ms (5.8% of total)
ival-add: 7.0ms (5.8% of total)
exact: 1.0ms (0.8% of total)
ival-true: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)

bsearch87.0ms (0.6%)

Memory
23.3MiB live, 23.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
40.0ms
1.6365964784852803e-146
3.416387183471452e-138
40.0ms
-2.428906354476085e-162
-4.149884163505749e-166
Samples
33.0ms98×2valid
21.0ms140×1valid
8.0ms142×0invalid
4.0ms6×3valid
2.0ms28×0valid
Compiler

Compiled 355 to 272 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-pow: 28.0ms (51.8% of total)
ival-div: 10.0ms (18.5% of total)
ival-add: 4.0ms (7.4% of total)
adjust: 4.0ms (7.4% of total)
ival-sub: 4.0ms (7.4% of total)
ival-mult: 4.0ms (7.4% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch122.0ms (0.8%)

Memory
-13.7MiB live, 24.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
41.0ms
1.6365964784852803e-146
3.416387183471452e-138
74.0ms
-2.428906354476085e-162
-4.149884163505749e-166
Samples
45.0ms156×0invalid
32.0ms95×2valid
19.0ms125×1valid
3.0ms5×3valid
3.0ms47×0valid
Compiler

Compiled 310 to 245 computations (21% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-pow: 27.0ms (51.4% of total)
ival-div: 9.0ms (17.1% of total)
ival-add: 4.0ms (7.6% of total)
adjust: 4.0ms (7.6% of total)
ival-sub: 4.0ms (7.6% of total)
ival-mult: 4.0ms (7.6% of total)
exact: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch79.0ms (0.5%)

Memory
21.4MiB live, 21.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
36.0ms
1.6365964784852803e-146
3.416387183471452e-138
36.0ms
-2.428906354476085e-162
-4.149884163505749e-166
Samples
29.0ms86×2valid
21.0ms140×1valid
8.0ms139×0invalid
3.0ms46×0valid
Compiler

Compiled 292 to 236 computations (19.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-pow: 24.0ms (50.1% of total)
ival-div: 9.0ms (18.8% of total)
adjust: 4.0ms (8.3% of total)
ival-mult: 4.0ms (8.3% of total)
ival-add: 3.0ms (6.3% of total)
ival-sub: 3.0ms (6.3% of total)
exact: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch85.0ms (0.6%)

Memory
-24.2MiB live, 21.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
37.0ms
1.6365964784852803e-146
3.416387183471452e-138
42.0ms
-2.428906354476085e-162
-4.149884163505749e-166
Samples
34.0ms91×2valid
22.0ms145×1valid
8.0ms145×0invalid
2.0ms36×0valid
Compiler

Compiled 241 to 202 computations (16.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-pow: 25.0ms (46.8% of total)
ival-div: 13.0ms (24.4% of total)
adjust: 4.0ms (7.5% of total)
ival-mult: 4.0ms (7.5% of total)
ival-add: 3.0ms (5.6% of total)
ival-sub: 3.0ms (5.6% of total)
exact: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch75.0ms (0.5%)

Memory
15.6MiB live, 15.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
35.0ms
0.010778386030326513
30.738817550978514
34.0ms
-15263250631846442.0
-69286606355279.92
Samples
55.0ms220×1valid
3.0ms59×0invalid
2.0ms20×0valid
0.0ms1×1exit
Compiler

Compiled 170 to 150 computations (11.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-pow: 33.0ms (64.4% of total)
ival-div: 7.0ms (13.7% of total)
adjust: 3.0ms (5.9% of total)
ival-sub: 3.0ms (5.9% of total)
ival-mult: 3.0ms (5.9% of total)
ival-add: 2.0ms (3.9% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify56.0ms (0.4%)

Memory
-32.2MiB live, 6.9MiB allocated
Algorithm
1×egg-herbie
Rules
66×*-commutative_binary64
34×neg-mul-1_binary64
30×unsub-neg_binary64
24×+-commutative_binary64
18×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0125305
1178305
2193304
3210304
4237304
5277304
6287304
7289304
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal 0 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (+.f64 (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) (*.f64 n #s(literal 100 binary64))))
(if (<=.f64 n #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n) (if (<=.f64 n #s(literal 6748370691814795/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)))
(if (<=.f64 n #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n) (if (<=.f64 n #s(literal 281456704065355/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)))
(if (<=.f64 n #s(literal -2821397184715009/1007641851683931820587806291420968258893675472328417820220872324040744595635843008946260940337480903424595632540239579541935629958157893251896932560850028184716008537290582817399466548302510149103210893455908181007667595468047259786297601506742546990374638711734272 binary64)) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n) (if (<=.f64 n #s(literal 1180964871067589/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592 binary64)) #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)))
(if (<=.f64 n #s(literal -6845313241232439/5070602400912917605986812821504 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (if (<=.f64 n #s(literal -5578790248792625/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n))) (if (<=.f64 n #s(literal 3711603880498137/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736 binary64)) #s(literal 0 binary64) (if (<=.f64 n #s(literal 4728779608739021/2251799813685248 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 -1825786850307637/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376 binary64)) (*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n) (if (<=.f64 n #s(literal 461314402760777/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) i) n)))
(if (<=.f64 n #s(literal -622427335332149/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672 binary64)) (*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n) (if (<=.f64 n #s(literal 2284604661291467/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) n))))
(if (<=.f64 n #s(literal -3890170845825931/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) (*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n) (if (<=.f64 n #s(literal 3936549570225297/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592 binary64)) #s(literal 0 binary64) (*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n)))
(if (<=.f64 n #s(literal -7469128023985787/16598062275523971834049631454764644604049784928969747599982629318762611245651632585598828195788415177152791546445203156729580604301647101231547499336455854748244727213606038094741504 binary64)) (*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 2059439298039183/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) #s(literal 0 binary64) (*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))))
(if (<=.f64 i #s(literal -280000000000000 binary64)) #s(literal 0 binary64) (if (<=.f64 i #s(literal 8106479329266893/9007199254740992 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 0 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (+.f64 (/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 n)) i) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 (/.f64 n i) #s(literal 100 binary64)))) (*.f64 n #s(literal 100 binary64))))
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 i n)) #s(literal 0 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 i n)) #s(literal +inf.0 binary64)) (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (*.f64 #s(literal 100 binary64) (/.f64 n i))) (/.f64 (*.f64 n #s(literal 100 binary64)) i)) (*.f64 n #s(literal 100 binary64))))
(if (<=.f64 n #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n) (if (<=.f64 n #s(literal 6748370691814795/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)))
(if (<=.f64 n #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)) (if (<=.f64 n #s(literal 6748370691814795/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n))) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))))
(if (<=.f64 n #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n) (if (<=.f64 n #s(literal 281456704065355/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)))
(if (<=.f64 n #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)) (if (<=.f64 n #s(literal 281456704065355/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 n (*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))))
(if (<=.f64 n #s(literal -2821397184715009/1007641851683931820587806291420968258893675472328417820220872324040744595635843008946260940337480903424595632540239579541935629958157893251896932560850028184716008537290582817399466548302510149103210893455908181007667595468047259786297601506742546990374638711734272 binary64)) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n) (if (<=.f64 n #s(literal 1180964871067589/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592 binary64)) #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)))
(if (<=.f64 n #s(literal -2821397184715009/1007641851683931820587806291420968258893675472328417820220872324040744595635843008946260940337480903424595632540239579541935629958157893251896932560850028184716008537290582817399466548302510149103210893455908181007667595468047259786297601506742546990374638711734272 binary64)) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)) (if (<=.f64 n #s(literal 1180964871067589/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592 binary64)) #s(literal 0 binary64) (*.f64 n (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i))))
(if (<=.f64 n #s(literal -6845313241232439/5070602400912917605986812821504 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (if (<=.f64 n #s(literal -5578790248792625/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n))) (if (<=.f64 n #s(literal 3711603880498137/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736 binary64)) #s(literal 0 binary64) (if (<=.f64 n #s(literal 4728779608739021/2251799813685248 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 -1825786850307637/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376 binary64)) (*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n) (if (<=.f64 n #s(literal 461314402760777/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) i) n)))
(if (<=.f64 n #s(literal -1825786850307637/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376 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 461314402760777/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #s(literal 0 binary64) (*.f64 n (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) i))))
(if (<=.f64 n #s(literal -622427335332149/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672 binary64)) (*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n) (if (<=.f64 n #s(literal 2284604661291467/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) n))))
(if (<=.f64 n #s(literal -622427335332149/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672 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 2284604661291467/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 i n) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) n))))
(if (<=.f64 n #s(literal -3890170845825931/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) (*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n) (if (<=.f64 n #s(literal 3936549570225297/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592 binary64)) #s(literal 0 binary64) (*.f64 (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)) n)))
(if (<=.f64 n #s(literal -3890170845825931/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 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 3936549570225297/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592 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 -7469128023985787/16598062275523971834049631454764644604049784928969747599982629318762611245651632585598828195788415177152791546445203156729580604301647101231547499336455854748244727213606038094741504 binary64)) (*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 2059439298039183/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) #s(literal 0 binary64) (*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))))
(if (<=.f64 i #s(literal -280000000000000 binary64)) #s(literal 0 binary64) (if (<=.f64 i #s(literal 8106479329266893/9007199254740992 binary64)) (*.f64 n #s(literal 100 binary64)) #s(literal 0 binary64)))
#s(literal 0 binary64)

soundness1.3s (8.4%)

Memory
16.3MiB live, 815.3MiB allocated
Rules
17 104×accelerator-lowering-fma.f32
17 104×accelerator-lowering-fma.f64
11 188×accelerator-lowering-fma.f32
11 188×accelerator-lowering-fma.f64
11 092×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01712869
15422770
216202684
343552678
084112453
056357
1415353
24871353
08127310
05153831
116243489
255233268
081372980
06005129
119154887
261284851
081364357
035167
1200163
21951159
08545140
0133312603
1433211772
0806110942
01044
16744
256444
3734544
0866038
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 888 to 504 computations (43.2% saved)

preprocess98.0ms (0.6%)

Memory
-8.7MiB live, 157.7MiB allocated
Compiler

Compiled 798 to 304 computations (61.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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