Compound Interest

Time bar (total: 15.3s)

analyze267.0ms (1.8%)

Memory
44.7MiB live, 317.7MiB 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)

sample4.1s (26.6%)

Memory
11.3MiB live, 5 018.9MiB allocated
Samples
2.3s4 528×1valid
847.0ms1 626×2valid
196.0ms1 983×0invalid
193.0ms2 045×0valid
47.0ms57×3valid
2.0ms17×1exit
Precisions
Click to see histograms. Total time spent on operations: 2.9s
ival-pow: 1.7s (57.2% of total)
adjust: 457.0ms (15.7% of total)
ival-div: 368.0ms (12.7% of total)
ival-mult: 137.0ms (4.7% of total)
ival-add: 132.0ms (4.5% of total)
ival-sub: 121.0ms (4.2% of total)
exact: 15.0ms (0.5% of total)
ival-true: 8.0ms (0.3% of total)
ival-assert: 4.0ms (0.1% of total)
Bogosity

preprocess203.0ms (1.3%)

Memory
9.6MiB live, 132.4MiB 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)))

explain293.0ms (1.9%)

Memory
10.1MiB live, 368.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1730-0-(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
6371(2.038424018992139e-101 9.156090378430089e+253)0-(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
440-3(-1.4387334749035283e-89 -7.425628142265913e+222)(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
00-0-n
00-0-(+.f64 #s(literal 1 binary64) (/.f64 i n))
00-0-#s(literal 1 binary64)
00-0-i
00-0-(/.f64 i n)
00-0-(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
00-0-#s(literal 100 binary64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))cancellation1730
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)sensitivity1150
/.f64(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))n/u410
↳(/.f64 i n)underflow41
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)oflow-rescue190
↳(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)overflow43
↳(/.f64 i n)overflow19
↳(+.f64 #s(literal 1 binary64) (/.f64 i n))overflow19
Confusion
Predicted +Predicted -
+1850
-2843
Precision
0.8685446009389671
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+18500
-28043
Precision?
0.8685446009389671
Recall?
1.0
Freqs
test
numberfreq
043
1119
253
341
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
86.0ms284×1valid
65.0ms130×2valid
9.0ms96×0valid
1.0ms2×3valid
Compiler

Compiled 150 to 44 computations (70.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 135.0ms
ival-pow: 89.0ms (65.9% of total)
ival-div: 15.0ms (11.1% of total)
adjust: 10.0ms (7.4% of total)
ival-add: 7.0ms (5.2% of total)
ival-sub: 6.0ms (4.4% of total)
ival-mult: 6.0ms (4.4% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶30.1%
(*.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)))
Compiler

Compiled 17 to 10 computations (41.2% saved)

simplify152.0ms (1%)

Memory
-22.8MiB live, 95.6MiB 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

localize100.0ms (0.7%)

Memory
19.7MiB live, 174.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
✓accuracy84.1%
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
✓accuracy77.2%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓accuracy37.9%
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
Samples
45.0ms142×1valid
32.0ms65×2valid
4.0ms48×0valid
1.0ms1×3valid
Compiler

Compiled 58 to 12 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-pow: 44.0ms (64.3% of total)
ival-div: 10.0ms (14.6% of total)
adjust: 5.0ms (7.3% of total)
ival-sub: 3.0ms (4.4% of total)
ival-mult: 3.0ms (4.4% of total)
ival-add: 3.0ms (4.4% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series23.0ms (0.1%)

Memory
-0.7MiB live, 36.6MiB 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
5.0ms
n
@inf
(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
3.0ms
n
@0
(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
2.0ms
i
@-inf
(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
2.0ms
i
@inf
(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
1.0ms
i
@0
(/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))

rewrite448.0ms (2.9%)

Memory
-1.8MiB live, 487.7MiB 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)))
(fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 n (neg.f64 i)) (*.f64 (/.f64 n (neg.f64 i)) #s(literal 1 binary64)))
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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 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n))) (*.f64 n #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 n) (log1p.f64 (/.f64 i n)))
(*.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))))

simplify360.0ms (2.4%)

Memory
-30.6MiB live, 420.2MiB 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))

eval74.0ms (0.5%)

Memory
21.1MiB live, 130.1MiB allocated
Compiler

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

prune98.0ms (0.6%)

Memory
-12.1MiB live, 228.4MiB allocated
Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New56727594
Fresh000
Picked101
Done000
Total56827595
Accuracy
100.0%
Counts
595 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.7%
(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)))
30.5%
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
69.5%
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
12.4%
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)
30.1%
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
55.6%
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
30.5%
(*.f64 (/.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) i) #s(literal 100 binary64))
63.8%
(*.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))))
▶47.7%
(*.f64 n #s(literal 100 binary64))
24.4%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
24.3%
(*.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))))
24.0%
(*.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))))
▶53.8%
(*.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))
▶52.5%
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (*.f64 n i) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))))) n))
38.0%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
▶36.7%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
40.3%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
13.8%
(*.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)))
13.7%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
17.1%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
19.9%
(*.f64 #s(literal 100 binary64) (/.f64 (*.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)))) (/.f64 i n)))
12.0%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
69.6%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
▶74.1%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
60.2%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
38.9%
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
63.8%
(*.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 i (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (/.f64 (expm1.f64 i) i))))
Compiler

Compiled 1 088 to 696 computations (36% saved)

simplify369.0ms (2.4%)

Memory
23.6MiB live, 504.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
✓cost-diff128
(fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))
✓cost-diff384
(fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))
✓cost-diff1088
(/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n))
✓cost-diff0
(*.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-diff384
(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-diff960
(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
10 680×accelerator-lowering-fma.f32
10 680×accelerator-lowering-fma.f64
3 750×*-lowering-*.f32
3 750×*-lowering-*.f64
3 672×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059844
1193832
2748832
33589832
45264816
08523764
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 (/ (+ (* (* i i) (+ 1/2 (+ (* i (+ (+ 1/6 (/ 1/3 (* n n))) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (/ -1/2 n)))) (/ -1/2 n)))) i) (/ i n)))
100
(/ (+ (* (* i i) (+ 1/2 (+ (* i (+ (+ 1/6 (/ 1/3 (* n n))) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (/ -1/2 n)))) (/ -1/2 n)))) i) (/ i n))
(+ (* (* i i) (+ 1/2 (+ (* i (+ (+ 1/6 (/ 1/3 (* n n))) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (/ -1/2 n)))) (/ -1/2 n)))) i)
(* i i)
i
(+ 1/2 (+ (* i (+ (+ 1/6 (/ 1/3 (* n n))) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (/ -1/2 n)))) (/ -1/2 n)))
1/2
(+ (* i (+ (+ 1/6 (/ 1/3 (* n n))) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (/ -1/2 n)))) (/ -1/2 n))
(+ (+ 1/6 (/ 1/3 (* n n))) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (/ -1/2 n)))
(+ 1/6 (/ 1/3 (* n n)))
1/6
(/ 1/3 (* n n))
1/3
(* n n)
n
(+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (/ -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
(+ (/ -1/4 (* n (* n n))) (/ -1/4 n))
(/ -1/4 (* n (* n n)))
-1/4
(* n (* n n))
(/ -1/4 n)
(/ -1/2 n)
-1/2
(/ i n)
Outputs
(* 100 (/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (/ i n)))
(*.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64)) (/.f64 n i))
100
#s(literal 100 binary64)
(/ (- (exp (* n (log (+ 1 (/ i n))))) 1) (/ i n))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.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 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (*.f64 (+.f64 i #s(literal 1 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 (+.f64 #s(literal 1/6 binary64) (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 1/3 binary64) (*.f64 n n))))) #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 (+.f64 #s(literal 1/6 binary64) (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 1/3 binary64) (*.f64 n n))))) #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 (+.f64 #s(literal 1/6 binary64) (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 1/3 binary64) (*.f64 n n))))) #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 (+.f64 #s(literal 1/6 binary64) (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 1/3 binary64) (*.f64 n n))))) #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 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)) (fma.f64 i (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (fma.f64 (/.f64 i n) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n n)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 n 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 (/.f64 #s(literal -1/4 binary64) n) #s(literal 1/24 binary64))))
(+ 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 (/ (+ (* (* i i) (+ 1/2 (+ (* i (+ (+ 1/6 (/ 1/3 (* n n))) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (/ -1/2 n)))) (/ -1/2 n)))) i) (/ i n)))
(*.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 (fma.f64 i (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 #s(literal 1/6 binary64) (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 1/3 binary64) (*.f64 n n))))) (*.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) n)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
100
#s(literal 100 binary64)
(/ (+ (* (* i i) (+ 1/2 (+ (* i (+ (+ 1/6 (/ 1/3 (* n n))) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (/ -1/2 n)))) (/ -1/2 n)))) i) (/ i n))
(*.f64 n (*.f64 (fma.f64 i (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 #s(literal 1/6 binary64) (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 1/3 binary64) (*.f64 n n))))) (*.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) n)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (* (* i i) (+ 1/2 (+ (* i (+ (+ 1/6 (/ 1/3 (* n n))) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (/ -1/2 n)))) (/ -1/2 n)))) i)
(fma.f64 i (*.f64 i (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 #s(literal 1/6 binary64) (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 1/3 binary64) (*.f64 n n))))) (*.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) n))))) i)
(* i i)
(*.f64 i i)
i
(+ 1/2 (+ (* i (+ (+ 1/6 (/ 1/3 (* n n))) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (/ -1/2 n)))) (/ -1/2 n)))
(+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 #s(literal 1/6 binary64) (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 1/3 binary64) (*.f64 n n))))) (*.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) n))))
1/2
#s(literal 1/2 binary64)
(+ (* i (+ (+ 1/6 (/ 1/3 (* n n))) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (/ -1/2 n)))) (/ -1/2 n))
(fma.f64 i (+.f64 #s(literal 1/6 binary64) (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 1/3 binary64) (*.f64 n n))))) (*.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) n)))
(+ (+ 1/6 (/ 1/3 (* n n))) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (/ -1/2 n)))
(+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)) (fma.f64 i (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (fma.f64 (/.f64 i n) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n n)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))))
(+ 1/6 (/ 1/3 (* n n)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(/ 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)
n
(+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (/ -1/2 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 -1/2 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 (/.f64 #s(literal -1/4 binary64) n) #s(literal 1/24 binary64))))
(+ 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)
(+ (/ -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)
(/ -1/2 n)
(/.f64 #s(literal -1/2 binary64) n)
-1/2
#s(literal -1/2 binary64)
(/ i n)
(/.f64 i n)

localize330.0ms (2.2%)

Memory
9.2MiB live, 478.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy95.7%
(fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))
✓accuracy91.0%
(+.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)))
✓accuracy84.6%
(+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n)))
✓accuracy75.7%
(/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n))
✓accuracy99.2%
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
✓accuracy91.0%
(+.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)))
✓accuracy85.4%
(*.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)))))
✓accuracy80.6%
(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))
✓accuracy99.2%
(/.f64 #s(literal 1/3 binary64) (*.f64 n n))
✓accuracy93.9%
(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)))
✓accuracy92.9%
(fma.f64 (*.f64 n i) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)
✓accuracy100.0%
(*.f64 n #s(literal 100 binary64))
✓accuracy99.9%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
✓accuracy92.8%
(log1p.f64 (/.f64 i n))
✓accuracy84.1%
(*.f64 n (log1p.f64 (/.f64 i n)))
✓accuracy84.1%
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
Samples
122.0ms240×0valid
9.0ms15×0invalid
1.0ms1×2valid
Compiler

Compiled 840 to 58 computations (93.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-mult: 31.0ms (33.6% of total)
ival-add: 22.0ms (23.8% of total)
ival-div: 18.0ms (19.5% of total)
const: 15.0ms (16.2% of total)
ival-log1p: 3.0ms (3.2% of total)
ival-expm1: 2.0ms (2.2% of total)
ival-sub: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series70.0ms (0.5%)

Memory
-5.7MiB live, 102.1MiB allocated
Counts
21 → 468
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 (/ (+ (* (* i i) (+ 1/2 (+ (* i (+ (+ 1/6 (/ 1/3 (* n n))) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (/ -1/2 n)))) (/ -1/2 n)))) i) (/ i n))>
#<alt (+ (* i (+ (+ 1/6 (/ 1/3 (* n n))) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (/ -1/2 n)))) (/ -1/2 n))>
#<alt (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (/ -1/2 n))>
#<alt (* 100 (/ (+ (* (* i i) (+ 1/2 (+ (* i (+ (+ 1/6 (/ 1/3 (* n n))) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (/ -1/2 n)))) (/ -1/2 n)))) i) (/ i n)))>
#<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 (+ (+ 1/6 (/ 1/3 (* n n))) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (/ -1/2 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)>
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#<alt (* i (- (+ 1/24 (+ (* 11/24 (/ 1 (pow n 2))) (+ (/ 1/3 (* i (pow n 2))) (* 1/6 (/ 1 i))))) (+ (* 1/4 (/ 1 n)) (+ (* 1/4 (/ 1 (pow n 3))) (/ 1/2 (* i n))))))>
#<alt (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))>
#<alt (* -1 (* i (+ (* -1 (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (* -1 (/ (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))) i)))))>
#<alt (* -1 (* i (+ (* -1 (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (* -1 (/ (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))) i)))))>
#<alt (* -1 (* i (+ (* -1 (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (* -1 (/ (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))) i)))))>
Calls

117 calls:

TimeVariablePointExpression
13.0ms
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))
9.0ms
i
@-inf
(+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))
2.0ms
n
@inf
(+ (* (* n i) (+ (* i (+ (/ 1/3 (* n n)) (+ 1/6 (/ -1/2 n)))) (- 1/2 (/ 1/2 n)))) n)
1.0ms
i
@inf
(+ (* 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))))))
1.0ms
i
@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))))))

rewrite517.0ms (3.4%)

Memory
-20.9MiB live, 598.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 350×*-lowering-*.f32
5 350×*-lowering-*.f64
5 028×accelerator-lowering-fma.f32
5 028×accelerator-lowering-fma.f64
2 594×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059505
1469495
25705495
08442432
Stop Event
1×iter limit
1×node limit
Counts
21 → 645
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))
(/ (+ (* (* i i) (+ 1/2 (+ (* i (+ (+ 1/6 (/ 1/3 (* n n))) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (/ -1/2 n)))) (/ -1/2 n)))) i) (/ i n))
(+ (* i (+ (+ 1/6 (/ 1/3 (* n n))) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (/ -1/2 n)))) (/ -1/2 n))
(+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (/ -1/2 n))
(* 100 (/ (+ (* (* i i) (+ 1/2 (+ (* i (+ (+ 1/6 (/ 1/3 (* n n))) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (/ -1/2 n)))) (/ -1/2 n)))) i) (/ i n)))
(log (+ 1 (/ i n)))
(/ 1/3 (* n n))
(+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))
(+ (+ 1/6 (/ 1/3 (* n n))) (+ (* i (+ (+ 1/24 (/ 11/24 (* n n))) (+ (/ -1/4 (* n (* n n))) (/ -1/4 n)))) (/ -1/2 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 #s(literal 2 binary64))) (+.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 #s(literal 2 binary64))) (+.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 #s(literal 2 binary64))) (+.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 (exp.f64 n) (/.f64 (log1p.f64 (/.f64 i n)) #s(literal 2 binary64))) (pow.f64 (exp.f64 n) (/.f64 (log1p.f64 (/.f64 i n)) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i i)) (*.f64 n (*.f64 n n)))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 i n) (-.f64 (/.f64 i n) #s(literal 1 binary64)) #s(literal 1 binary64))) n) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 n n))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 i n))) n) #s(literal -1 binary64))
(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 (log.f64 (exp.f64 (log1p.f64 (/.f64 i n)))) n))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 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)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) (+.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 #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)) (+.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 #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 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)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.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) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) (+.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 #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.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)) n) (/.f64 n i)) (neg.f64 (/.f64 n i)))
(exp.f64 (*.f64 (log.f64 (/.f64 i (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) n))) #s(literal -1 binary64)))
(-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) (/.f64 n i))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i) (neg.f64 (/.f64 n i)))
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (neg.f64 (/.f64 n i)))
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 n i) (neg.f64 (/.f64 n i)))
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (neg.f64 i)) (neg.f64 n) (neg.f64 (/.f64 n i)))
(neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 i (neg.f64 n))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) n)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) n)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 i n))
(/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 1 binary64)) (/.f64 i (neg.f64 n)))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) n))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 i n) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) (/.f64 #s(literal 1 binary64) n))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 i n)) (/.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))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) (+.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 #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) (/.f64 i n)))
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 1 binary64))) (/.f64 i n))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) #s(literal 3 binary64)) (pow.f64 (/.f64 i n) #s(literal -3 binary64))) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) (fma.f64 (/.f64 n i) (/.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 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 n i))) (*.f64 (/.f64 n i) (/.f64 n i))) (fma.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)) n) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 i n))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 n i)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 n i)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) n) i)
(pow.f64 (/.f64 i (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) n)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 i (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) n)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 n (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 n i)))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 n i))
(*.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 i (neg.f64 n))))
(*.f64 (/.f64 n i) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))
(*.f64 (/.f64 n i) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) i) n)
(*.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 n i))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (neg.f64 i)) (neg.f64 n))
(*.f64 (pow.f64 (/.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 3 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)))))
(*.f64 (pow.f64 (/.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.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) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64))))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) n)))
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 i n))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64))) (/.f64 i (neg.f64 n)))
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(pow.f64 (/.f64 (fma.f64 (+.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 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.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 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 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)))))) (fma.f64 (+.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 (/.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 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (pow.f64 (*.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)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 (*.f64 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)))))) #s(literal -1 binary64))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64))) (pow.f64 (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (*.f64 (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)))))))
(*.f64 (fma.f64 (+.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 (/.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 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (pow.f64 (*.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)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.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 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (*.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 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 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 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) #s(literal 1/6 binary64)) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 (*.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.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))))))

simplify489.0ms (3.2%)

Memory
41.6MiB live, 710.0MiB allocated
Algorithm
1×egg-herbie
Rules
9 390×accelerator-lowering-fma.f32
9 390×accelerator-lowering-fma.f64
7 220×+-lowering-+.f64
7 220×+-lowering-+.f32
4 854×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135312355
1440511783
0819910926
Stop Event
1×iter limit
1×node limit
Counts
468 → 468
Calls
Call 1
Inputs
(* n (+ (log i) (* -1 (log n))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))
(- (exp i) 1)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)
(- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)
(- (exp i) 1)
(- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
(- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)
i
(* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)
(- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1)
(- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) 1)
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) 1)
(- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) 1)
(/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))
(* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))
(/ (* n (- (exp i) 1)) i)
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))
(* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))
(/ (* n (- (exp i) 1)) i)
(* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))
(* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))
(* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)
(/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)
(/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)
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(* (pow i 3) (+ (* 100 (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (+ (* 100 (/ n (pow i 3))) (+ (* 100 (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) (pow i 2))) (* 100 (/ (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) i))))))
(* 100 (* (pow i 3) (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))))
(* -1 (* (pow i 3) (+ (* -100 (* 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)))) i)))))
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(/ (+ (* -25 (pow i 3)) (* n (+ (* 100 (* i (* n (- (* i (- (* -1/4 i) 1/2)) 1/2)))) (* 100 (* (pow i 2) (+ 1/3 (* 11/24 i))))))) (pow n 2))
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(* 100 (/ (* n (+ i (* (pow i 2) (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))) i))
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(/ i n)
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1/24
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(- (+ 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
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(* -1 (* i (+ (* -1 (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (* -1 (/ (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))) i)))))
(* -1 (* i (+ (* -1 (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (* -1 (/ (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))) i)))))
(* -1 (* i (+ (* -1 (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (* -1 (/ (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))) i)))))
Outputs
(* n (+ (log i) (* -1 (log n))))
(*.f64 n (-.f64 (log.f64 i) (log.f64 n)))
(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))
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(* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))
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i
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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))))))
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(- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)
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(- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)
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eval226.0ms (1.5%)

Memory
3.7MiB live, 474.3MiB allocated
Compiler

Compiled 69 705 to 5 545 computations (92% saved)

prune196.0ms (1.3%)

Memory
-14.7MiB live, 393.4MiB allocated
Pruning

38 alts after pruning (36 fresh and 2 done)

PrunedKeptTotal
New1 259191 278
Fresh51722
Picked325
Done000
Total1 267381 305
Accuracy
100.0%
Counts
1 305 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.7%
(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)))
4.9%
(/.f64 (fma.f64 (*.f64 i i) #s(literal 100/3 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (*.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) n)
35.2%
(/.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)
30.5%
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
69.5%
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
16.7%
(/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i)
▶10.7%
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
12.4%
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)
30.1%
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
▶55.6%
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
30.5%
(*.f64 (/.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) i) #s(literal 100 binary64))
59.4%
(*.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)))
57.4%
(*.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)))
63.8%
(*.f64 n (fma.f64 (/.f64 (*.f64 i (exp.f64 i)) n) #s(literal -50 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))
52.6%
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) n)) #s(literal 1 binary64))))
57.3%
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n)) #s(literal 1 binary64))))
✓47.7%
(*.f64 n #s(literal 100 binary64))
24.4%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
▶24.3%
(*.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))))
24.0%
(*.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))))
57.4%
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) n))
42.9%
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) (*.f64 n n)) n))
26.8%
(*.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))
25.9%
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (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))
▶51.4%
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i 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)))))) n))
59.4%
(*.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))
25.8%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)) (*.f64 i #s(literal -1/4 binary64))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
17.1%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
53.6%
(*.f64 #s(literal 100 binary64) (/.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)) i))
19.9%
(*.f64 #s(literal 100 binary64) (/.f64 (*.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)))) (/.f64 i n)))
12.0%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
▶69.6%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
36.8%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (+.f64 #s(literal 1/6 binary64) (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 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1 binary64))) (/.f64 i n)))
✓74.1%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
60.2%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
38.9%
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
63.8%
(*.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 i (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (/.f64 (expm1.f64 i) i))))
59.4%
(*.f64 #s(literal -100 binary64) (*.f64 n (fma.f64 i (fma.f64 (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (neg.f64 i) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
Compiler

Compiled 1 460 to 947 computations (35.1% saved)

simplify398.0ms (2.6%)

Memory
8.8MiB live, 441.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 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) i)
✓cost-diff128
(*.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))))
✓cost-diff704
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 n (neg.f64 i)))
✓cost-diff0
(*.f64 n (*.f64 i i))
✓cost-diff0
(fma.f64 i (*.f64 (*.f64 n (*.f64 i 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)))))) n)
✓cost-diff0
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i 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)))))) n))
✓cost-diff576
(*.f64 (*.f64 n (*.f64 i 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))))))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) n)
✓cost-diff0
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
✓cost-diff0
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
✓cost-diff832
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n)
✓cost-diff0
(*.f64 i i)
✓cost-diff0
(*.f64 (*.f64 i i) #s(literal 100/3 binary64))
✓cost-diff0
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
✓cost-diff0
(expm1.f64 i)
✓cost-diff0
(*.f64 n (expm1.f64 i))
✓cost-diff0
(/.f64 (*.f64 n (expm1.f64 i)) i)
✓cost-diff0
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
Rules
16 566×accelerator-lowering-fma.f32
16 566×accelerator-lowering-fma.f64
5 206×*-lowering-*.f32
5 206×*-lowering-*.f64
3 454×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045301
1115299
2312291
31207291
45661287
08613266
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 100 (/ (* n (- (exp i) 1)) i))
100
(/ (* n (- (exp i) 1)) i)
(* n (- (exp i) 1))
n
(- (exp i) 1)
i
(/ (* (* i i) 100/3) n)
(* (* i i) 100/3)
(* i i)
i
100/3
n
(* (+ (* (- 1/2 (/ 1/2 n)) (* n i)) n) 100)
(+ (* (- 1/2 (/ 1/2 n)) (* n i)) n)
(- 1/2 (/ 1/2 n))
1/2
(/ 1/2 n)
n
(* n i)
i
100
(* 100 (+ (* i (* (* n (* i i)) (- (+ 1/24 (/ 11/24 (* n n))) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))) n))
100
(+ (* i (* (* n (* i i)) (- (+ 1/24 (/ 11/24 (* n n))) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))) n)
i
(* (* n (* i i)) (- (+ 1/24 (/ 11/24 (* n n))) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))
(* n (* i i))
n
(* i i)
(- (+ 1/24 (/ 11/24 (* n n))) (+ (/ 1/4 n) (/ 1/4 (* n (* n n)))))
(+ 1/24 (/ 11/24 (* n n)))
1/24
(/ 11/24 (* n n))
11/24
(* n n)
(+ (/ 1/4 n) (/ 1/4 (* n (* n n))))
(/ 1/4 n)
1/4
(/ 1/4 (* n (* n n)))
(* n (* n n))
(* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ n (neg i))))
100
(+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ n (neg i)))
(/ (pow (+ 1 (/ i n)) n) i)
(pow (+ 1 (/ i n)) n)
(+ 1 (/ i n))
1
(/ i n)
i
n
(/ n (neg i))
(neg i)
Outputs
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
100
#s(literal 100 binary64)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
n
(- (exp i) 1)
(expm1.f64 i)
i
(/ (* (* i i) 100/3) n)
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(* (* i i) 100/3)
(*.f64 (*.f64 i i) #s(literal 100/3 binary64))
(* i i)
(*.f64 i i)
i
100/3
#s(literal 100/3 binary64)
n
(* (+ (* (- 1/2 (/ 1/2 n)) (* n i)) n) 100)
(*.f64 #s(literal 100 binary64) (fma.f64 i (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64)) n))
(+ (* (- 1/2 (/ 1/2 n)) (* n i)) n)
(fma.f64 i (fma.f64 n #s(literal 1/2 binary64) #s(literal -1/2 binary64)) n)
(- 1/2 (/ 1/2 n))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))
1/2
#s(literal 1/2 binary64)
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
n
(* n i)
(*.f64 n i)
i
100
#s(literal 100 binary64)
(* 100 (+ (* i (* (* n (* i i)) (- (+ 1/24 (/ 11/24 (* n n))) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 i (*.f64 i i)) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 11/24 binary64) n) (fma.f64 n (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n n)))) n))
100
#s(literal 100 binary64)
(+ (* i (* (* n (* i i)) (- (+ 1/24 (/ 11/24 (* n n))) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))) n)
(fma.f64 (*.f64 i (*.f64 i i)) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 11/24 binary64) n) (fma.f64 n (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n n)))) n)
i
(* (* n (* i i)) (- (+ 1/24 (/ 11/24 (* n n))) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))
(*.f64 (*.f64 i i) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 11/24 binary64) n) (fma.f64 n (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n n)))))
(* n (* i i))
(*.f64 n (*.f64 i i))
n
(* i i)
(*.f64 i i)
(- (+ 1/24 (/ 11/24 (* n n))) (+ (/ 1/4 n) (/ 1/4 (* n (* n 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) (/ 1/4 (* n (* n n))))
(+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))
(/ 1/4 n)
(/.f64 #s(literal 1/4 binary64) n)
1/4
#s(literal 1/4 binary64)
(/ 1/4 (* n (* n n)))
(/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))
(* n (* n n))
(*.f64 n (*.f64 n n))
(* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ n (neg i))))
(*.f64 (/.f64 n i) (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -100 binary64)))
100
#s(literal 100 binary64)
(+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ n (neg i)))
(*.f64 (/.f64 n i) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))
(/ (pow (+ 1 (/ i n)) n) i)
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) 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)
i
n
(/ n (neg i))
(/.f64 n (neg.f64 i))
(neg i)
(neg.f64 i)

localize290.0ms (1.9%)

Memory
-17.9MiB live, 208.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i)
✓accuracy99.9%
(*.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))))
✓accuracy77.2%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓accuracy44.0%
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 n (neg.f64 i)))
✓accuracy99.2%
(/.f64 #s(literal 11/24 binary64) (*.f64 n n))
✓accuracy91.0%
(-.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)))))
✓accuracy89.3%
(*.f64 n (*.f64 i i))
✓accuracy84.8%
(*.f64 (*.f64 n (*.f64 i 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))))))
✓accuracy100.0%
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
✓accuracy100.0%
(*.f64 n i)
✓accuracy99.9%
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
✓accuracy96.4%
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n)
✓accuracy100.0%
(*.f64 i i)
✓accuracy99.6%
(*.f64 (*.f64 i i) #s(literal 100/3 binary64))
✓accuracy88.3%
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
✓accuracy100.0%
(expm1.f64 i)
✓accuracy100.0%
(*.f64 n (expm1.f64 i))
✓accuracy99.9%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
✓accuracy88.0%
(/.f64 (*.f64 n (expm1.f64 i)) i)
Samples
188.0ms175×1valid
25.0ms16×2valid
22.0ms65×0valid
Compiler

Compiled 303 to 46 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 187.0ms
ival-mult: 66.0ms (35.3% of total)
ival-pow: 51.0ms (27.2% of total)
ival-div: 23.0ms (12.3% of total)
adjust: 13.0ms (6.9% of total)
const: 13.0ms (6.9% of total)
ival-add: 12.0ms (6.4% of total)
ival-sub: 4.0ms (2.1% of total)
ival-expm1: 3.0ms (1.6% of total)
ival-neg: 2.0ms (1.1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series70.0ms (0.5%)

Memory
-21.4MiB live, 16.5MiB allocated
Counts
22 → 444
Calls
Call 1
Inputs
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (* n (- (exp i) 1))>
#<alt (- (exp i) 1)>
#<alt (/ (* (* i i) 100/3) n)>
#<alt (* (* i i) 100/3)>
#<alt (* i i)>
#<alt (+ (* (- 1/2 (/ 1/2 n)) (* n i)) n)>
#<alt (* (+ (* (- 1/2 (/ 1/2 n)) (* n i)) n) 100)>
#<alt (- 1/2 (/ 1/2 n))>
#<alt (/ 1/2 n)>
#<alt (* (* n (* i i)) (- (+ 1/24 (/ 11/24 (* n n))) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))>
#<alt (* 100 (+ (* i (* (* n (* i i)) (- (+ 1/24 (/ 11/24 (* n n))) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))) n))>
#<alt (+ (* i (* (* n (* i i)) (- (+ 1/24 (/ 11/24 (* n n))) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))) n)>
#<alt (* n (* i i))>
#<alt (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ n (neg i)))>
#<alt (* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ n (neg i))))>
#<alt (/ (pow (+ 1 (/ i n)) n) i)>
#<alt (pow (+ 1 (/ i n)) n)>
#<alt (* n i)>
#<alt (- (+ 1/24 (/ 11/24 (* n n))) (+ (/ 1/4 n) (/ 1/4 (* n (* n n)))))>
#<alt (/ 11/24 (* n n))>
Outputs
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 n)>
#<alt (+ (* 50 (* i n)) (* 100 n))>
#<alt (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))>
#<alt (+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt n>
#<alt (+ n (* 1/2 (* i n)))>
#<alt (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))>
#<alt (+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n))))))>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (/ (* n (- (exp i) 1)) i)>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* i n)>
#<alt (* i (+ n (* 1/2 (* i n))))>
#<alt (* i (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n)))))>
#<alt (* i (+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n)))))))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* n (- (exp i) 1))>
#<alt i>
#<alt (* i (+ 1 (* 1/2 i)))>
#<alt (* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))>
#<alt (* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (* 100/3 (/ (pow i 2) n))>
#<alt (* 100/3 (/ (pow i 2) n))>
#<alt (* 100/3 (/ (pow i 2) n))>
#<alt (* 100/3 (/ (pow i 2) n))>
#<alt (* 100/3 (/ (pow i 2) n))>
#<alt (* 100/3 (/ (pow i 2) n))>
#<alt (* 100/3 (/ (pow i 2) n))>
#<alt (* 100/3 (/ (pow i 2) n))>
#<alt (* 100/3 (/ (pow i 2) n))>
#<alt (* 100/3 (/ (pow i 2) n))>
#<alt (* 100/3 (/ (pow i 2) n))>
#<alt (* 100/3 (/ (pow i 2) n))>
#<alt (* 100/3 (/ (pow i 2) n))>
#<alt (* 100/3 (/ (pow i 2) n))>
#<alt (* 100/3 (/ (pow i 2) n))>
#<alt (* 100/3 (/ (pow i 2) n))>
#<alt (* 100/3 (/ (pow i 2) n))>
#<alt (* 100/3 (/ (pow i 2) n))>
#<alt (* 100/3 (/ (pow i 2) n))>
#<alt (* 100/3 (/ (pow i 2) n))>
#<alt (* 100/3 (/ (pow i 2) n))>
#<alt (* 100/3 (/ (pow i 2) n))>
#<alt (* 100/3 (/ (pow i 2) n))>
#<alt (* 100/3 (/ (pow i 2) n))>
#<alt (* 100/3 (pow i 2))>
#<alt (* 100/3 (pow i 2))>
#<alt (* 100/3 (pow i 2))>
#<alt (* 100/3 (pow i 2))>
#<alt (* 100/3 (pow i 2))>
#<alt (* 100/3 (pow i 2))>
#<alt (* 100/3 (pow i 2))>
#<alt (* 100/3 (pow i 2))>
#<alt (* 100/3 (pow i 2))>
#<alt (* 100/3 (pow i 2))>
#<alt (* 100/3 (pow i 2))>
#<alt (* 100/3 (pow i 2))>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (* -1/2 i)>
#<alt (+ (* -1/2 i) (* n (+ 1 (* 1/2 i))))>
#<alt (+ (* -1/2 i) (* n (+ 1 (* 1/2 i))))>
#<alt (+ (* -1/2 i) (* n (+ 1 (* 1/2 i))))>
#<alt (* n (+ 1 (* 1/2 i)))>
#<alt (* n (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i))))>
#<alt (* n (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i))))>
#<alt (* n (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i))))>
#<alt (* -1 (* n (- (* -1/2 i) 1)))>
#<alt (* -1 (* n (- (+ (* -1/2 i) (* 1/2 (/ i n))) 1)))>
#<alt (* -1 (* n (- (+ (* -1/2 i) (* 1/2 (/ i n))) 1)))>
#<alt (* -1 (* n (- (+ (* -1/2 i) (* 1/2 (/ i n))) 1)))>
#<alt n>
#<alt (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))>
#<alt (* i (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i)))>
#<alt (* i (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i)))>
#<alt (* i (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i)))>
#<alt (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))>
#<alt (* -1 (* i (+ (* -1 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -1 (/ n i)))))>
#<alt (* -1 (* i (+ (* -1 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -1 (/ n i)))))>
#<alt (* -1 (* i (+ (* -1 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -1 (/ n i)))))>
#<alt (* -50 i)>
#<alt (+ (* -50 i) (* 100 (* n (+ 1 (* 1/2 i)))))>
#<alt (+ (* -50 i) (* 100 (* n (+ 1 (* 1/2 i)))))>
#<alt (+ (* -50 i) (* 100 (* n (+ 1 (* 1/2 i)))))>
#<alt (* 100 (* n (+ 1 (* 1/2 i))))>
#<alt (* n (+ (* -50 (/ i n)) (* 100 (+ 1 (* 1/2 i)))))>
#<alt (* n (+ (* -50 (/ i n)) (* 100 (+ 1 (* 1/2 i)))))>
#<alt (* n (+ (* -50 (/ i n)) (* 100 (+ 1 (* 1/2 i)))))>
#<alt (* -100 (* n (- (* -1/2 i) 1)))>
#<alt (* -1 (* n (+ (* 50 (/ i n)) (* 100 (- (* -1/2 i) 1)))))>
#<alt (* -1 (* n (+ (* 50 (/ i n)) (* 100 (- (* -1/2 i) 1)))))>
#<alt (* -1 (* n (+ (* 50 (/ i n)) (* 100 (- (* -1/2 i) 1)))))>
#<alt (* 100 n)>
#<alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i))))>
#<alt (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i))))>
#<alt (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i))))>
#<alt (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))>
#<alt (* -1 (* i (+ (* -100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -100 (/ n i)))))>
#<alt (* -1 (* i (+ (* -100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -100 (/ n i)))))>
#<alt (* -1 (* i (+ (* -100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -100 (/ n i)))))>
#<alt (/ -1/2 n)>
#<alt (/ (- (* 1/2 n) 1/2) n)>
#<alt (/ (- (* 1/2 n) 1/2) n)>
#<alt (/ (- (* 1/2 n) 1/2) n)>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 n)))>
#<alt (- 1/2 (* 1/2 (/ 1 n)))>
#<alt (- 1/2 (* 1/2 (/ 1 n)))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 n)))>
#<alt (- 1/2 (* 1/2 (/ 1 n)))>
#<alt (- 1/2 (* 1/2 (/ 1 n)))>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (* -1/4 (/ (pow i 2) (pow n 2)))>
#<alt (/ (+ (* -1/4 (pow i 2)) (* 11/24 (* (pow i 2) n))) (pow n 2))>
#<alt (/ (+ (* -1/4 (pow i 2)) (* n (+ (* -1/4 (* (pow i 2) n)) (* 11/24 (pow i 2))))) (pow n 2))>
#<alt (/ (+ (* -1/4 (pow i 2)) (* n (+ (* 11/24 (pow i 2)) (* n (+ (* -1/4 (pow i 2)) (* 1/24 (* (pow i 2) n))))))) (pow n 2))>
#<alt (* 1/24 (* (pow i 2) n))>
#<alt (* n (+ (* -1/4 (/ (pow i 2) n)) (* 1/24 (pow i 2))))>
#<alt (* n (+ (* -1/4 (/ (pow i 2) n)) (+ (* 1/24 (pow i 2)) (* 11/24 (/ (pow i 2) (pow n 2))))))>
#<alt (* n (+ (* -1/4 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 2) (pow n 3))) (+ (* 1/24 (pow i 2)) (* 11/24 (/ (pow i 2) (pow n 2)))))))>
#<alt (* 1/24 (* (pow i 2) n))>
#<alt (* -1 (* n (+ (* -1/24 (pow i 2)) (* 1/4 (/ (pow i 2) n)))))>
#<alt (* -1 (* n (+ (* -1 (/ (+ (* -1/4 (pow i 2)) (* 11/24 (/ (pow i 2) n))) n)) (* -1/24 (pow i 2)))))>
#<alt (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -11/24 (pow i 2)) (* 1/4 (/ (pow i 2) n))) n)) (* -1/4 (pow i 2))) n)) (* -1/24 (pow i 2)))))>
#<alt (* (pow i 2) (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))>
#<alt (* (pow i 2) (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))>
#<alt (* (pow i 2) (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))>
#<alt (* (pow i 2) (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))>
#<alt (* (pow i 2) (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))>
#<alt (* (pow i 2) (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))>
#<alt (* (pow i 2) (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))>
#<alt (* (pow i 2) (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))>
#<alt (* (pow i 2) (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))>
#<alt (* (pow i 2) (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))>
#<alt (* (pow i 2) (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))>
#<alt (* (pow i 2) (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))>
#<alt (* 100 n)>
#<alt (+ (* 100 n) (* 100 (* (pow i 3) (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))))>
#<alt (+ (* 100 n) (* 100 (* (pow i 3) (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))))>
#<alt (+ (* 100 n) (* 100 (* (pow i 3) (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))))>
#<alt (* 100 (* (pow i 3) (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))))>
#<alt (* (pow i 3) (+ (* 100 (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (/ n (pow i 3)))))>
#<alt (* (pow i 3) (+ (* 100 (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (/ n (pow i 3)))))>
#<alt (* (pow i 3) (+ (* 100 (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (/ n (pow i 3)))))>
#<alt (* 100 (* (pow i 3) (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))))>
#<alt (* -1 (* (pow i 3) (+ (* -100 (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* -100 (/ n (pow i 3))))))>
#<alt (* -1 (* (pow i 3) (+ (* -100 (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* -100 (/ n (pow i 3))))))>
#<alt (* -1 (* (pow i 3) (+ (* -100 (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* -100 (/ n (pow i 3))))))>
#<alt (* -25 (/ (pow i 3) (pow n 2)))>
#<alt (/ (+ (* -25 (pow i 3)) (* 275/6 (* (pow i 3) n))) (pow n 2))>
#<alt (/ (+ (* -25 (pow i 3)) (* n (+ (* -25 (* (pow i 3) n)) (* 275/6 (pow i 3))))) (pow n 2))>
#<alt (/ (+ (* -25 (pow i 3)) (* n (+ (* 275/6 (pow i 3)) (* n (+ (* -25 (pow i 3)) (* 100 (* n (+ 1 (* 1/24 (pow i 3)))))))))) (pow n 2))>
#<alt (* 100 (* n (+ 1 (* 1/24 (pow i 3)))))>
#<alt (* n (+ (* -25 (/ (pow i 3) n)) (* 100 (+ 1 (* 1/24 (pow i 3))))))>
#<alt (* n (+ (* -25 (/ (pow i 3) n)) (+ (* 275/6 (/ (pow i 3) (pow n 2))) (* 100 (+ 1 (* 1/24 (pow i 3)))))))>
#<alt (* n (+ (* -25 (/ (pow i 3) n)) (+ (* -25 (/ (pow i 3) (pow n 3))) (+ (* 275/6 (/ (pow i 3) (pow n 2))) (* 100 (+ 1 (* 1/24 (pow i 3))))))))>
#<alt (* -100 (* n (- (* -1/24 (pow i 3)) 1)))>
#<alt (* -1 (* n (+ (* 25 (/ (pow i 3) n)) (* 100 (- (* -1/24 (pow i 3)) 1)))))>
#<alt (* -1 (* n (+ (* -1 (/ (+ (* -25 (pow i 3)) (* 275/6 (/ (pow i 3) n))) n)) (* 100 (- (* -1/24 (pow i 3)) 1)))))>
#<alt (* -1 (* n (+ (* -1 (/ (+ (* -25 (pow i 3)) (* -1 (/ (+ (* -275/6 (pow i 3)) (* 25 (/ (pow i 3) n))) n))) n)) (* 100 (- (* -1/24 (pow i 3)) 1)))))>
#<alt n>
#<alt (+ n (* (pow i 3) (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))))>
#<alt (+ n (* (pow i 3) (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))))>
#<alt (+ n (* (pow i 3) (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))))>
#<alt (* (pow i 3) (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))>
#<alt (* (pow i 3) (+ (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (/ n (pow i 3))))>
#<alt (* (pow i 3) (+ (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (/ n (pow i 3))))>
#<alt (* (pow i 3) (+ (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (/ n (pow i 3))))>
#<alt (* (pow i 3) (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))>
#<alt (* -1 (* (pow i 3) (+ (* -1 (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* -1 (/ n (pow i 3))))))>
#<alt (* -1 (* (pow i 3) (+ (* -1 (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* -1 (/ n (pow i 3))))))>
#<alt (* -1 (* (pow i 3) (+ (* -1 (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* -1 (/ n (pow i 3))))))>
#<alt (* -1/4 (/ (pow i 3) (pow n 2)))>
#<alt (/ (+ (* -1/4 (pow i 3)) (* 11/24 (* (pow i 3) n))) (pow n 2))>
#<alt (/ (+ (* -1/4 (pow i 3)) (* n (+ (* -1/4 (* (pow i 3) n)) (* 11/24 (pow i 3))))) (pow n 2))>
#<alt (/ (+ (* -1/4 (pow i 3)) (* n (+ (* 11/24 (pow i 3)) (* n (+ (* -1/4 (pow i 3)) (* n (+ 1 (* 1/24 (pow i 3))))))))) (pow n 2))>
#<alt (* n (+ 1 (* 1/24 (pow i 3))))>
#<alt (* n (+ 1 (+ (* -1/4 (/ (pow i 3) n)) (* 1/24 (pow i 3)))))>
#<alt (* n (+ 1 (+ (* -1/4 (/ (pow i 3) n)) (+ (* 1/24 (pow i 3)) (* 11/24 (/ (pow i 3) (pow n 2)))))))>
#<alt (* n (+ 1 (+ (* -1/4 (/ (pow i 3) n)) (+ (* -1/4 (/ (pow i 3) (pow n 3))) (+ (* 1/24 (pow i 3)) (* 11/24 (/ (pow i 3) (pow n 2))))))))>
#<alt (* -1 (* n (- (* -1/24 (pow i 3)) 1)))>
#<alt (* -1 (* n (- (+ (* -1/24 (pow i 3)) (* 1/4 (/ (pow i 3) n))) 1)))>
#<alt (* -1 (* n (- (+ (* -1 (/ (+ (* -1/4 (pow i 3)) (* 11/24 (/ (pow i 3) n))) n)) (* -1/24 (pow i 3))) 1)))>
#<alt (* -1 (* n (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -11/24 (pow i 3)) (* 1/4 (/ (pow i 3) n))) n)) (* -1/4 (pow i 3))) n)) (* -1/24 (pow i 3))) 1)))>
#<alt (* (pow i 2) n)>
#<alt (* (pow i 2) n)>
#<alt (* (pow i 2) n)>
#<alt (* (pow i 2) n)>
#<alt (* (pow i 2) n)>
#<alt (* (pow i 2) n)>
#<alt (* (pow i 2) n)>
#<alt (* (pow i 2) n)>
#<alt (* (pow i 2) n)>
#<alt (* (pow i 2) n)>
#<alt (* (pow i 2) n)>
#<alt (* (pow i 2) n)>
#<alt (* (pow i 2) n)>
#<alt (* (pow i 2) n)>
#<alt (* (pow i 2) n)>
#<alt (* (pow i 2) n)>
#<alt (* (pow i 2) n)>
#<alt (* (pow i 2) n)>
#<alt (* (pow i 2) n)>
#<alt (* (pow i 2) n)>
#<alt (* (pow i 2) n)>
#<alt (* (pow i 2) n)>
#<alt (* (pow i 2) n)>
#<alt (* (pow i 2) n)>
#<alt (/ (+ n (* -1 n)) i)>
#<alt (/ (+ n (+ (* -1 n) (* i n))) i)>
#<alt (/ (+ n (+ (* -1 n) (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i)>
#<alt (/ (+ n (+ (* -1 n) (* i (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))) i)>
#<alt (/ (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i)>
#<alt (/ (+ (* -1 n) (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)>
#<alt (/ (+ (* -1 n) (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)>
#<alt (/ (+ (* -1 n) (+ (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)>
#<alt (* -1 (/ (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))>
#<alt (* -1 (/ (+ n (+ (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)))) i))>
#<alt (* -1 (/ (+ n (+ (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i)))) i))>
#<alt (* -1 (/ (+ n (+ (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) i)) (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i)))) i))>
#<alt (* (pow n 2) (+ (* -1 (/ (log n) i)) (/ (log i) 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) 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 (* -1 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i))))>
#<alt (* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* 1/2 (/ (* i (exp i)) n)) (/ 1 i)))))>
#<alt (* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (/ 1 i)))))>
#<alt (* -1 (* n (+ (* -1 (/ (exp i) i)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (/ 1 i)))))>
#<alt (* 100 (/ (+ n (* -1 n)) i))>
#<alt (/ (+ (* 100 (* i n)) (* 100 (+ n (* -1 n)))) i)>
#<alt (/ (+ (* 100 (+ n (* -1 n))) (* i (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))) i)>
#<alt (/ (+ (* 100 (+ n (* -1 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 (/ (+ (* -1 n) (* n (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))) i))>
#<alt (/ (+ (* 100 (+ (* -1 n) (* 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 (+ (* -1 n) (* 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 (+ (* -1 n) (* 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 (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))>
#<alt (* -1 (/ (+ (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) (* 100 (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))))) i))>
#<alt (* -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)) (* 100 (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))))) i))>
#<alt (* -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)) (* 100 (+ n (* -1 (* n (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))))) i))>
#<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 (* 100 (* n (- (/ (exp i) i) (/ 1 i))))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (- (/ (exp i) i) (/ 1 i)))))>
#<alt (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (- (/ (exp i) i) (/ 1 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) (/ 1 i))) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))))))>
#<alt (* -100 (* n (+ (* -1 (/ (exp i) i)) (/ 1 i))))>
#<alt (* -1 (* n (+ (* 50 (/ (* i (exp i)) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))>
#<alt (* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))>
#<alt (* -1 (* n (+ (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)) (* 100 (+ (* -1 (/ (exp i) i)) (/ 1 i))))))>
#<alt (/ 1 i)>
#<alt (/ (+ 1 i) i)>
#<alt (/ (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))) i)>
#<alt (/ (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))) i)>
#<alt (/ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) i)>
#<alt (/ (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) 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))) 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)))) i)>
#<alt (/ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) i)>
#<alt (* -1 (/ (+ (* -1 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (* -1 (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))>
#<alt (* -1 (/ (+ (* -1 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (* -1 (/ (+ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i)) i))) i))>
#<alt (* -1 (/ (+ (* -1 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) i)) (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i))>
#<alt (/ 1 i)>
#<alt (+ (* n (+ (* -1 (/ (log n) i)) (/ (log i) i))) (/ 1 i))>
#<alt (+ (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i)))) (/ 1 i))>
#<alt (+ (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) (/ 1 i))>
#<alt (/ (exp i) i)>
#<alt (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i))>
#<alt (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))>
#<alt (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))))>
#<alt (/ (exp i) i)>
#<alt (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) 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 (* i n)>
#<alt (* i n)>
#<alt (* i n)>
#<alt (* i n)>
#<alt (* i n)>
#<alt (* i n)>
#<alt (* i n)>
#<alt (* i n)>
#<alt (* i n)>
#<alt (* i n)>
#<alt (* i n)>
#<alt (* i n)>
#<alt (* i n)>
#<alt (* i n)>
#<alt (* i n)>
#<alt (* i n)>
#<alt (* i n)>
#<alt (* i n)>
#<alt (* i n)>
#<alt (* i n)>
#<alt (* i n)>
#<alt (* i n)>
#<alt (* i n)>
#<alt (* i n)>
#<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 (/ 11/24 (pow n 2))>
#<alt (/ 11/24 (pow n 2))>
#<alt (/ 11/24 (pow n 2))>
#<alt (/ 11/24 (pow n 2))>
#<alt (/ 11/24 (pow n 2))>
#<alt (/ 11/24 (pow n 2))>
#<alt (/ 11/24 (pow n 2))>
#<alt (/ 11/24 (pow n 2))>
#<alt (/ 11/24 (pow n 2))>
#<alt (/ 11/24 (pow n 2))>
#<alt (/ 11/24 (pow n 2))>
#<alt (/ 11/24 (pow n 2))>
Calls

111 calls:

TimeVariablePointExpression
37.0ms
n
@inf
(* (* n (* i i)) (- (+ 1/24 (/ 11/24 (* n n))) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))
1.0ms
i
@0
(* (* n (* i i)) (- (+ 1/24 (/ 11/24 (* n n))) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))
1.0ms
i
@inf
(* 100 (/ (* n (- (exp i) 1)) i))
1.0ms
i
@-inf
(* 100 (/ (* n (- (exp i) 1)) i))
1.0ms
n
@0
(* 100 (/ (* n (- (exp i) 1)) i))

rewrite334.0ms (2.2%)

Memory
16.7MiB live, 399.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 630×/-lowering-/.f32
4 630×/-lowering-/.f64
3 290×*-lowering-*.f32
3 290×*-lowering-*.f64
2 260×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045234
1287232
22902216
08096204
Stop Event
1×iter limit
1×node limit
Counts
22 → 534
Calls
Call 1
Inputs
(* 100 (/ (* n (- (exp i) 1)) i))
(/ (* n (- (exp i) 1)) i)
(* n (- (exp i) 1))
(- (exp i) 1)
(/ (* (* i i) 100/3) n)
(* (* i i) 100/3)
(* i i)
(+ (* (- 1/2 (/ 1/2 n)) (* n i)) n)
(* (+ (* (- 1/2 (/ 1/2 n)) (* n i)) n) 100)
(- 1/2 (/ 1/2 n))
(/ 1/2 n)
(* (* n (* i i)) (- (+ 1/24 (/ 11/24 (* n n))) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))
(* 100 (+ (* i (* (* n (* i i)) (- (+ 1/24 (/ 11/24 (* n n))) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))) n))
(+ (* i (* (* n (* i i)) (- (+ 1/24 (/ 11/24 (* n n))) (+ (/ 1/4 n) (/ 1/4 (* n (* n n))))))) n)
(* n (* i i))
(+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ n (neg i)))
(* 100 (+ (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ n (neg i))))
(/ (pow (+ 1 (/ i n)) n) i)
(pow (+ 1 (/ i n)) n)
(* n i)
(- (+ 1/24 (/ 11/24 (* n n))) (+ (/ 1/4 n) (/ 1/4 (* n (* n n)))))
(/ 11/24 (* n n))
Outputs
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 n (expm1.f64 i))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 i))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 i)))))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 i)) i)
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 i))) (neg.f64 i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) (neg.f64 n))) (neg.f64 i))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) (neg.f64 n)) #s(literal 100 binary64)) (neg.f64 i))
(/.f64 #s(literal -100 binary64) (neg.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 i)))) i)
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) (neg.f64 n)))) i)
(/.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 i) (neg.f64 n)) #s(literal 100 binary64))) i)
(pow.f64 (/.f64 i (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 i))) #s(literal -1 binary64))
(*.f64 #s(literal 100 binary64) (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
(*.f64 (*.f64 n (expm1.f64 i)) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64)))
(*.f64 (*.f64 n (/.f64 (expm1.f64 i) i)) #s(literal 100 binary64))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(*.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i))
(exp.f64 (*.f64 (log.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 i)) (/.f64 (*.f64 n (expm1.f64 i)) (neg.f64 i)))
(neg.f64 (/.f64 (*.f64 n (expm1.f64 i)) (neg.f64 i)))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 n (expm1.f64 i))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 i (*.f64 n (expm1.f64 i))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 i (*.f64 n (expm1.f64 i))))))
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/.f64 (*.f64 (expm1.f64 i) (neg.f64 n)) (neg.f64 i))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 i (*.f64 n (expm1.f64 i))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 i) (neg.f64 n))) i)
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 1 binary64)) i)
(/.f64 (/.f64 (*.f64 (expm1.f64 i) (neg.f64 n)) #s(literal -1 binary64)) i)
(/.f64 (neg.f64 (neg.f64 (*.f64 (expm1.f64 i) (neg.f64 n)))) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 1 binary64))) (neg.f64 i))
(/.f64 (neg.f64 (/.f64 (*.f64 (expm1.f64 i) (neg.f64 n)) #s(literal -1 binary64))) (neg.f64 i))
(pow.f64 (/.f64 i (*.f64 n (expm1.f64 i))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 i (*.f64 n (expm1.f64 i))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 #s(literal 1 binary64) (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 (*.f64 n (expm1.f64 i)) (/.f64 #s(literal 1 binary64) i))
(*.f64 (*.f64 (expm1.f64 i) (neg.f64 n)) (/.f64 #s(literal -1 binary64) i))
(*.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 n (expm1.f64 i)))
(*.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (expm1.f64 i))) #s(literal -1 binary64)))
(*.f64 (/.f64 (expm1.f64 i) i) n)
(+.f64 (*.f64 n (exp.f64 i)) (*.f64 n #s(literal -1 binary64)))
(+.f64 (*.f64 (exp.f64 i) n) (neg.f64 n))
(fma.f64 n (exp.f64 i) (*.f64 n #s(literal -1 binary64)))
(fma.f64 (exp.f64 i) n (neg.f64 n))
(/.f64 (*.f64 n (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (*.f64 n (expm1.f64 (+.f64 i i))) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) n) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (*.f64 (expm1.f64 (+.f64 i i)) n) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 n (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 n (expm1.f64 (+.f64 i i)))) (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) n)) (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)) n)) (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(*.f64 n (expm1.f64 i))
(*.f64 (expm1.f64 i) n)
(+.f64 (exp.f64 i) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 i))
(-.f64 (exp.f64 i) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (*.f64 i #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 (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)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (expm1.f64 (*.f64 i #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (expm1.f64 (+.f64 i i))))
(/.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 i i)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 i) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (expm1.f64 (*.f64 i #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (expm1.f64 (+.f64 i i)))))
(/.f64 (expm1.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (+.f64 i i)) (-.f64 (exp.f64 i) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (+.f64 i i)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 i) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 i i))) (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 i i))) (neg.f64 (-.f64 (exp.f64 i) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 i i)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)))))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64))) (expm1.f64 (*.f64 i #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 i) #s(literal 1 binary64)) (expm1.f64 (+.f64 i i))) #s(literal -1 binary64))
(*.f64 (expm1.f64 (*.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 i i)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))))
(*.f64 (expm1.f64 (+.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 i) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 n (*.f64 i (*.f64 i #s(literal 100/3 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) n) (/.f64 (*.f64 i (*.f64 i #s(literal 100/3 binary64))) (neg.f64 n)))
(neg.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 100/3 binary64))) (neg.f64 n)))
(neg.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -100/3 binary64)) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (*.f64 i (*.f64 i #s(literal 100/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (*.f64 i (*.f64 i #s(literal 100/3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 n (*.f64 i (*.f64 i #s(literal 100/3 binary64)))))))
(/.f64 (*.f64 i (*.f64 i #s(literal 100/3 binary64))) n)
(/.f64 (*.f64 (*.f64 i i) #s(literal -100/3 binary64)) (neg.f64 n))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (*.f64 i (*.f64 i #s(literal 100/3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 n (*.f64 i (*.f64 i #s(literal 100/3 binary64)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 i i) #s(literal -100/3 binary64))) (neg.f64 (neg.f64 n)))
(/.f64 (*.f64 (*.f64 i (*.f64 i #s(literal 100/3 binary64))) #s(literal 1 binary64)) n)
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 i i) #s(literal -100/3 binary64)))) (neg.f64 (neg.f64 (neg.f64 n))))
(/.f64 (neg.f64 (*.f64 (*.f64 i (*.f64 i #s(literal 100/3 binary64))) #s(literal 1 binary64))) (neg.f64 n))
(pow.f64 (/.f64 n (*.f64 i (*.f64 i #s(literal 100/3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 n (*.f64 i (*.f64 i #s(literal 100/3 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 i (*.f64 i (/.f64 #s(literal 100/3 binary64) n)))
(*.f64 i (*.f64 (*.f64 i #s(literal 100/3 binary64)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 i (/.f64 (*.f64 i #s(literal 100/3 binary64)) n))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i #s(literal 100/3 binary64))) n))
(*.f64 (*.f64 i i) (/.f64 #s(literal 100/3 binary64) n))
(*.f64 #s(literal 100/3 binary64) (*.f64 (*.f64 i i) (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 100/3 binary64) (/.f64 (*.f64 i i) n))
(*.f64 (*.f64 i (*.f64 i #s(literal 100/3 binary64))) (/.f64 #s(literal 1 binary64) n))
(*.f64 (*.f64 (*.f64 i i) #s(literal -100/3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 i (*.f64 i #s(literal 100/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 i i) #s(literal -100/3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 100/3 binary64) n) (*.f64 i i))
(*.f64 i (*.f64 i #s(literal 100/3 binary64)))
(*.f64 (*.f64 i i) #s(literal 100/3 binary64))
(*.f64 #s(literal 100/3 binary64) (*.f64 i i))
(*.f64 (*.f64 i #s(literal 100/3 binary64)) i)
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))
(pow.f64 i #s(literal 2 binary64))
(pow.f64 (*.f64 i i) #s(literal 1 binary64))
(pow.f64 (neg.f64 i) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 i)) #s(literal 2 binary64))
(*.f64 i i)
(*.f64 #s(literal 1 binary64) (*.f64 i i))
(*.f64 (neg.f64 i) (neg.f64 i))
(*.f64 (exp.f64 (log.f64 i)) (exp.f64 (log.f64 i)))
(+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))
(+.f64 (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)
(-.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) (fma.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (neg.f64 n))) (/.f64 (*.f64 n n) (fma.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (neg.f64 n))))
(-.f64 (/.f64 (*.f64 n n) (-.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))) (/.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) (-.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
(fma.f64 n (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)
(fma.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n)
(fma.f64 (*.f64 n i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(fma.f64 (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i n)
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) n n)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n (-.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) (*.f64 (*.f64 i i) (*.f64 (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))) (fma.f64 (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) (*.f64 (*.f64 i i) (*.f64 (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) (*.f64 n (*.f64 n n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (neg.f64 n)) (*.f64 (fma.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n) (fma.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (neg.f64 n)))))
(/.f64 (fma.f64 (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) (*.f64 (*.f64 i i) (*.f64 (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) (*.f64 n (*.f64 n n))) (fma.f64 n (-.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) (*.f64 (*.f64 i i) (*.f64 (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
(/.f64 (fma.f64 (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) (*.f64 (*.f64 i i) (*.f64 (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) (*.f64 n (*.f64 n n))) (fma.f64 n n (-.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (*.f64 n i) n)))))
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(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (-.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1/4 binary64) n)) (*.f64 n n)) (/.f64 #s(literal 1/4 binary64) n)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (/.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 (neg.f64 (+.f64 #s(literal 1/13824 binary64) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1/4 binary64) n)) (*.f64 n n)) (/.f64 #s(literal 1/4 binary64) n)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1/4 binary64) n)) (*.f64 n n)) (/.f64 #s(literal 1/4 binary64) n)) (-.f64 (/.f64 (-.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1/4 binary64) n)) (*.f64 n n)) (/.f64 #s(literal 1/4 binary64) n)))))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1/4 binary64) n)) (*.f64 n n)) (/.f64 #s(literal 1/4 binary64) n)) (-.f64 (/.f64 (-.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1/4 binary64) n)) (*.f64 n n)) (/.f64 #s(literal 1/4 binary64) n))) (*.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (-.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1/4 binary64) n)) (*.f64 n n)) (/.f64 #s(literal 1/4 binary64) n)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n)) (*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n)) (+.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n)))) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n n) (*.f64 n (*.f64 n (*.f64 n n)))))))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n)) (+.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 n n) (*.f64 n (*.f64 n (*.f64 n n))))) (*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n)) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1/4 binary64) n)) (*.f64 n n)) (/.f64 #s(literal 1/4 binary64) n)) (-.f64 (/.f64 (-.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1/4 binary64) n)) (*.f64 n n)) (/.f64 #s(literal 1/4 binary64) n))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (-.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1/4 binary64) n)) (*.f64 n n)) (/.f64 #s(literal 1/4 binary64) n)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n)) (+.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n))) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 n n) (*.f64 n (*.f64 n (*.f64 n n))))))) (neg.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) n) #s(literal 1/4 binary64)) n)) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))))
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))))) (fma.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n)))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (*.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (-.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1/4 binary64) 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)))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.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 binary64) (fma.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))))))))
(*.f64 (*.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (-.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1/4 binary64) n)) (*.f64 n n)) (/.f64 #s(literal 1/4 binary64) n)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.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))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 n n) #s(literal 24/11 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -11/24 binary64) (*.f64 n n)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 n n) #s(literal 24/11 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 n n) #s(literal 24/11 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 11/24 binary64) n)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 n n) #s(literal 24/11 binary64)))))
(/.f64 #s(literal 11/24 binary64) (*.f64 n n))
(/.f64 #s(literal 11/24 binary64) (neg.f64 (*.f64 n (neg.f64 n))))
(/.f64 #s(literal -11/24 binary64) (*.f64 n (neg.f64 n)))
(/.f64 #s(literal -11/24 binary64) (neg.f64 (neg.f64 (*.f64 n (neg.f64 n)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 n n) #s(literal 24/11 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 24/11 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (/.f64 #s(literal 11/24 binary64) n))))
(/.f64 (/.f64 #s(literal 11/24 binary64) n) n)
(/.f64 (neg.f64 (/.f64 #s(literal 11/24 binary64) n)) (neg.f64 n))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 11/24 binary64) n))) (neg.f64 (neg.f64 n)))
(pow.f64 (*.f64 (*.f64 n n) #s(literal 24/11 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 24/11 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 n (/.f64 #s(literal 11/24 binary64) n)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n)))
(*.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n n)))
(*.f64 #s(literal -11/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n (neg.f64 n))))
(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 11/24 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) #s(literal 11/24 binary64))
(*.f64 (/.f64 #s(literal 11/24 binary64) n) (/.f64 #s(literal 1 binary64) n))

simplify430.0ms (2.8%)

Memory
7.7MiB live, 806.7MiB allocated
Algorithm
1×egg-herbie
Rules
11 880×accelerator-lowering-fma.f32
11 880×accelerator-lowering-fma.f64
7 596×*-lowering-*.f32
7 596×*-lowering-*.f64
5 770×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08877437
127986988
084956482
Stop Event
1×iter limit
1×node limit
Counts
444 → 444
Calls
Call 1
Inputs
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 n)
(+ (* 50 (* i n)) (* 100 n))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
n
(+ n (* 1/2 (* i n)))
(+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))
(+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n))))))
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(/ (* n (- (exp i) 1)) i)
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* i n)
(* i (+ n (* 1/2 (* i n))))
(* i (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n)))))
(* i (+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n)))))))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
(* n (- (exp i) 1))
i
(* i (+ 1 (* 1/2 i)))
(* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(* 100/3 (/ (pow i 2) n))
(* 100/3 (/ (pow i 2) n))
(* 100/3 (/ (pow i 2) n))
(* 100/3 (/ (pow i 2) n))
(* 100/3 (/ (pow i 2) n))
(* 100/3 (/ (pow i 2) n))
(* 100/3 (/ (pow i 2) n))
(* 100/3 (/ (pow i 2) n))
(* 100/3 (/ (pow i 2) n))
(* 100/3 (/ (pow i 2) n))
(* 100/3 (/ (pow i 2) n))
(* 100/3 (/ (pow i 2) n))
(* 100/3 (/ (pow i 2) n))
(* 100/3 (/ (pow i 2) n))
(* 100/3 (/ (pow i 2) n))
(* 100/3 (/ (pow i 2) n))
(* 100/3 (/ (pow i 2) n))
(* 100/3 (/ (pow i 2) n))
(* 100/3 (/ (pow i 2) n))
(* 100/3 (/ (pow i 2) n))
(* 100/3 (/ (pow i 2) n))
(* 100/3 (/ (pow i 2) n))
(* 100/3 (/ (pow i 2) n))
(* 100/3 (/ (pow i 2) n))
(* 100/3 (pow i 2))
(* 100/3 (pow i 2))
(* 100/3 (pow i 2))
(* 100/3 (pow i 2))
(* 100/3 (pow i 2))
(* 100/3 (pow i 2))
(* 100/3 (pow i 2))
(* 100/3 (pow i 2))
(* 100/3 (pow i 2))
(* 100/3 (pow i 2))
(* 100/3 (pow i 2))
(* 100/3 (pow i 2))
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(* -1/2 i)
(+ (* -1/2 i) (* n (+ 1 (* 1/2 i))))
(+ (* -1/2 i) (* n (+ 1 (* 1/2 i))))
(+ (* -1/2 i) (* n (+ 1 (* 1/2 i))))
(* n (+ 1 (* 1/2 i)))
(* n (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i))))
(* n (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i))))
(* n (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i))))
(* -1 (* n (- (* -1/2 i) 1)))
(* -1 (* n (- (+ (* -1/2 i) (* 1/2 (/ i n))) 1)))
(* -1 (* n (- (+ (* -1/2 i) (* 1/2 (/ i n))) 1)))
(* -1 (* n (- (+ (* -1/2 i) (* 1/2 (/ i n))) 1)))
n
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(* i (* n (- 1/2 (* 1/2 (/ 1 n)))))
(* i (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i)))
(* i (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i)))
(* i (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (/ n i)))
(* i (* n (- 1/2 (* 1/2 (/ 1 n)))))
(* -1 (* i (+ (* -1 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -1 (/ n i)))))
(* -1 (* i (+ (* -1 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -1 (/ n i)))))
(* -1 (* i (+ (* -1 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -1 (/ n i)))))
(* -50 i)
(+ (* -50 i) (* 100 (* n (+ 1 (* 1/2 i)))))
(+ (* -50 i) (* 100 (* n (+ 1 (* 1/2 i)))))
(+ (* -50 i) (* 100 (* n (+ 1 (* 1/2 i)))))
(* 100 (* n (+ 1 (* 1/2 i))))
(* n (+ (* -50 (/ i n)) (* 100 (+ 1 (* 1/2 i)))))
(* n (+ (* -50 (/ i n)) (* 100 (+ 1 (* 1/2 i)))))
(* n (+ (* -50 (/ i n)) (* 100 (+ 1 (* 1/2 i)))))
(* -100 (* n (- (* -1/2 i) 1)))
(* -1 (* n (+ (* 50 (/ i n)) (* 100 (- (* -1/2 i) 1)))))
(* -1 (* n (+ (* 50 (/ i n)) (* 100 (- (* -1/2 i) 1)))))
(* -1 (* n (+ (* 50 (/ i n)) (* 100 (- (* -1/2 i) 1)))))
(* 100 n)
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
(* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i))))
(* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i))))
(* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* 100 (/ n i))))
(* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))
(* -1 (* i (+ (* -100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -100 (/ n i)))))
(* -1 (* i (+ (* -100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -100 (/ n i)))))
(* -1 (* i (+ (* -100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* -100 (/ n i)))))
(/ -1/2 n)
(/ (- (* 1/2 n) 1/2) n)
(/ (- (* 1/2 n) 1/2) n)
(/ (- (* 1/2 n) 1/2) n)
1/2
(- 1/2 (* 1/2 (/ 1 n)))
(- 1/2 (* 1/2 (/ 1 n)))
(- 1/2 (* 1/2 (/ 1 n)))
1/2
(- 1/2 (* 1/2 (/ 1 n)))
(- 1/2 (* 1/2 (/ 1 n)))
(- 1/2 (* 1/2 (/ 1 n)))
(/ 1/2 n)
(/ 1/2 n)
(/ 1/2 n)
(/ 1/2 n)
(/ 1/2 n)
(/ 1/2 n)
(/ 1/2 n)
(/ 1/2 n)
(/ 1/2 n)
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(* -1 (/ (+ (* -1 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (* -1 (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))
(* -1 (/ (+ (* -1 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (* -1 (/ (+ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i)) i))) i))
(* -1 (/ (+ (* -1 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) i)) (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i))
(/ 1 i)
(+ (* n (+ (* -1 (/ (log n) i)) (/ (log i) i))) (/ 1 i))
(+ (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i)))) (/ 1 i))
(+ (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i)))) (/ 1 i))
(/ (exp i) i)
(+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i))
(+ (* -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)))))
(+ (* -1/2 (/ (* 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))))))
(/ (exp i) i)
(+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i))
(+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i))
1
(+ 1 i)
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))
1
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))
(exp i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(* i n)
(* i n)
(* i n)
(* i n)
(* i n)
(* i n)
(* i n)
(* i n)
(* i n)
(* i n)
(* i n)
(* i n)
(* i n)
(* i n)
(* i n)
(* i n)
(* i n)
(* i n)
(* i n)
(* i n)
(* i n)
(* i n)
(* i n)
(* i n)
(/ -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)))
(/ 11/24 (pow n 2))
(/ 11/24 (pow n 2))
(/ 11/24 (pow n 2))
(/ 11/24 (pow n 2))
(/ 11/24 (pow n 2))
(/ 11/24 (pow n 2))
(/ 11/24 (pow n 2))
(/ 11/24 (pow n 2))
(/ 11/24 (pow n 2))
(/ 11/24 (pow n 2))
(/ 11/24 (pow n 2))
(/ 11/24 (pow n 2))
Outputs
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(+ (* 50 (* i n)) (* 100 n))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(fma.f64 i (*.f64 n (fma.f64 #s(literal 50/3 binary64) i #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(*.f64 (*.f64 #s(literal 100 binary64) n) (/.f64 (expm1.f64 i) i))
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
n
(+ n (* 1/2 (* i n)))
(fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n)
(+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n)
(+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n))))))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 n #s(literal 1/2 binary64))) n)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(/ (* n (- (exp i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* i n)
(*.f64 n i)
(* i (+ n (* 1/2 (* i n))))
(*.f64 i (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n))
(* i (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n)))))
(*.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n))
(* i (+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n)))))))
(*.f64 i (fma.f64 i (fma.f64 i (*.f64 n (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 n #s(literal 1/2 binary64))) n))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
(* n (- (exp i) 1))
(*.f64 n (expm1.f64 i))
i
(* 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)
(* 100/3 (/ (pow i 2) n))
(/.f64 (*.f64 #s(literal 100/3 binary64) (*.f64 i i)) n)
(* 100/3 (/ (pow i 2) n))
(/.f64 (*.f64 #s(literal 100/3 binary64) (*.f64 i i)) n)
(* 100/3 (/ (pow i 2) n))
(/.f64 (*.f64 #s(literal 100/3 binary64) (*.f64 i i)) n)
(* 100/3 (/ (pow i 2) n))
(/.f64 (*.f64 #s(literal 100/3 binary64) (*.f64 i i)) n)
(* 100/3 (/ (pow i 2) n))
(/.f64 (*.f64 #s(literal 100/3 binary64) (*.f64 i i)) n)
(* 100/3 (/ (pow i 2) n))
(/.f64 (*.f64 #s(literal 100/3 binary64) (*.f64 i i)) n)
(* 100/3 (/ (pow i 2) n))
(/.f64 (*.f64 #s(literal 100/3 binary64) (*.f64 i i)) n)
(* 100/3 (/ (pow i 2) n))
(/.f64 (*.f64 #s(literal 100/3 binary64) (*.f64 i i)) n)
(* 100/3 (/ (pow i 2) n))
(/.f64 (*.f64 #s(literal 100/3 binary64) (*.f64 i i)) n)
(* 100/3 (/ (pow i 2) n))
(/.f64 (*.f64 #s(literal 100/3 binary64) (*.f64 i i)) n)
(* 100/3 (/ (pow i 2) n))
(/.f64 (*.f64 #s(literal 100/3 binary64) (*.f64 i i)) n)
(* 100/3 (/ (pow i 2) n))
(/.f64 (*.f64 #s(literal 100/3 binary64) (*.f64 i i)) n)
(* 100/3 (/ (pow i 2) n))
(/.f64 (*.f64 #s(literal 100/3 binary64) (*.f64 i i)) n)
(* 100/3 (/ (pow i 2) n))
(/.f64 (*.f64 #s(literal 100/3 binary64) (*.f64 i i)) n)
(* 100/3 (/ (pow i 2) n))
(/.f64 (*.f64 #s(literal 100/3 binary64) (*.f64 i i)) n)
(* 100/3 (/ (pow i 2) n))
(/.f64 (*.f64 #s(literal 100/3 binary64) (*.f64 i i)) n)
(* 100/3 (/ (pow i 2) n))
(/.f64 (*.f64 #s(literal 100/3 binary64) (*.f64 i i)) n)
(* 100/3 (/ (pow i 2) n))
(/.f64 (*.f64 #s(literal 100/3 binary64) (*.f64 i i)) n)
(* 100/3 (/ (pow i 2) n))
(/.f64 (*.f64 #s(literal 100/3 binary64) (*.f64 i i)) n)
(* 100/3 (/ (pow i 2) n))
(/.f64 (*.f64 #s(literal 100/3 binary64) (*.f64 i i)) n)
(* 100/3 (/ (pow i 2) n))
(/.f64 (*.f64 #s(literal 100/3 binary64) (*.f64 i i)) n)
(* 100/3 (/ (pow i 2) n))
(/.f64 (*.f64 #s(literal 100/3 binary64) (*.f64 i i)) n)
(* 100/3 (/ (pow i 2) n))
(/.f64 (*.f64 #s(literal 100/3 binary64) (*.f64 i i)) n)
(* 100/3 (/ (pow i 2) n))
(/.f64 (*.f64 #s(literal 100/3 binary64) (*.f64 i i)) n)
(* 100/3 (pow i 2))
(*.f64 #s(literal 100/3 binary64) (*.f64 i i))
(* 100/3 (pow i 2))
(*.f64 #s(literal 100/3 binary64) (*.f64 i i))
(* 100/3 (pow i 2))
(*.f64 #s(literal 100/3 binary64) (*.f64 i i))
(* 100/3 (pow i 2))
(*.f64 #s(literal 100/3 binary64) (*.f64 i i))
(* 100/3 (pow i 2))
(*.f64 #s(literal 100/3 binary64) (*.f64 i i))
(* 100/3 (pow i 2))
(*.f64 #s(literal 100/3 binary64) (*.f64 i i))
(* 100/3 (pow i 2))
(*.f64 #s(literal 100/3 binary64) (*.f64 i i))
(* 100/3 (pow i 2))
(*.f64 #s(literal 100/3 binary64) (*.f64 i i))
(* 100/3 (pow i 2))
(*.f64 #s(literal 100/3 binary64) (*.f64 i i))
(* 100/3 (pow i 2))
(*.f64 #s(literal 100/3 binary64) (*.f64 i i))
(* 100/3 (pow i 2))
(*.f64 #s(literal 100/3 binary64) (*.f64 i i))
(* 100/3 (pow i 2))
(*.f64 #s(literal 100/3 binary64) (*.f64 i i))
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(* -1/2 i)
(*.f64 i #s(literal -1/2 binary64))
(+ (* -1/2 i) (* n (+ 1 (* 1/2 i))))
(fma.f64 n (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 i #s(literal -1/2 binary64)))
(+ (* -1/2 i) (* n (+ 1 (* 1/2 i))))
(fma.f64 n (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 i #s(literal -1/2 binary64)))
(+ (* -1/2 i) (* n (+ 1 (* 1/2 i))))
(fma.f64 n (fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 i #s(literal -1/2 binary64)))
(* n (+ 1 (* 1/2 i)))
(fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n)
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(-.f64 (/.f64 (exp.f64 i) i) (/.f64 (-.f64 (*.f64 i (*.f64 #s(literal 1/2 binary64) (exp.f64 i))) (/.f64 (*.f64 (exp.f64 i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))))) (*.f64 n i))) n))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i))
(-.f64 (/.f64 (exp.f64 i) i) (/.f64 (-.f64 (*.f64 i (*.f64 #s(literal 1/2 binary64) (exp.f64 i))) (/.f64 (fma.f64 (neg.f64 (exp.f64 i)) (/.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))))) (*.f64 n i)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))))) i)) n)) n))
1
#s(literal 1 binary64)
(+ 1 i)
(+.f64 i #s(literal 1 binary64))
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 i (fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
(fma.f64 i (fma.f64 i (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
(exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))
(fma.f64 n (*.f64 n (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i)) (fma.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
(fma.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (/.f64 (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64))))) (*.f64 i (*.f64 i i)))) (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))))
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
(exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) i) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))
(+.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 n n (/.f64 (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) i))) i))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))
(-.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (neg.f64 (fma.f64 n (*.f64 n (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (-.f64 (*.f64 (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (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 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64)))) i))) i))) i))
1
#s(literal 1 binary64)
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) #s(literal 1 binary64))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(fma.f64 n (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i)) (-.f64 (log.f64 i) (log.f64 n))) #s(literal 1 binary64))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
(fma.f64 n (fma.f64 n (fma.f64 n (+.f64 (-.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))) #s(literal 1 binary64))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (exp.f64 i))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))
(fma.f64 (exp.f64 i) (/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)))) (*.f64 n n)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (exp.f64 i)))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))
(fma.f64 (exp.f64 i) (+.f64 (/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 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 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) (*.f64 n (*.f64 n n)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (exp.f64 i)))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) (exp.f64 i))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(-.f64 (exp.f64 i) (/.f64 (fma.f64 (exp.f64 i) (*.f64 i (*.f64 i #s(literal 1/2 binary64))) (/.f64 (*.f64 (exp.f64 i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))))) (neg.f64 n))) n))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(-.f64 (exp.f64 i) (/.f64 (-.f64 (*.f64 (exp.f64 i) (*.f64 i (*.f64 i #s(literal 1/2 binary64)))) (/.f64 (-.f64 (*.f64 (exp.f64 i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))))) (/.f64 (*.f64 (exp.f64 i) (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)))))) n)) n)) n))
(* i n)
(*.f64 n i)
(* i n)
(*.f64 n i)
(* i n)
(*.f64 n i)
(* i n)
(*.f64 n i)
(* i n)
(*.f64 n i)
(* i n)
(*.f64 n i)
(* i n)
(*.f64 n i)
(* i n)
(*.f64 n i)
(* i n)
(*.f64 n i)
(* i n)
(*.f64 n i)
(* i n)
(*.f64 n i)
(* i n)
(*.f64 n i)
(* i n)
(*.f64 n i)
(* i n)
(*.f64 n i)
(* i n)
(*.f64 n i)
(* i n)
(*.f64 n i)
(* i n)
(*.f64 n i)
(* i n)
(*.f64 n i)
(* i n)
(*.f64 n i)
(* i n)
(*.f64 n i)
(* i n)
(*.f64 n i)
(* i n)
(*.f64 n i)
(* i n)
(*.f64 n i)
(* i n)
(*.f64 n i)
(/ -1/4 (pow n 3))
(/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))
(/ (- (* 11/24 n) 1/4) (pow n 3))
(/.f64 (fma.f64 n #s(literal 11/24 binary64) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n)))
(/ (- (* n (+ 11/24 (* -1/4 n))) 1/4) (pow n 3))
(/.f64 (fma.f64 n (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64)) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n)))
(/ (- (* n (+ 11/24 (* n (- (* 1/24 n) 1/4)))) 1/4) (pow n 3))
(/.f64 (fma.f64 n (fma.f64 n (fma.f64 n #s(literal 1/24 binary64) #s(literal -1/4 binary64)) #s(literal 11/24 binary64)) #s(literal -1/4 binary64)) (*.f64 n (*.f64 n n)))
1/24
#s(literal 1/24 binary64)
(- 1/24 (* 1/4 (/ 1 n)))
(+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/4 binary64) n))
(- (+ 1/24 (/ 11/24 (pow n 2))) (* 1/4 (/ 1 n)))
(+.f64 #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 #s(literal 1/24 binary64) (-.f64 (/.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))
(/ 11/24 (pow n 2))
(/.f64 #s(literal 11/24 binary64) (*.f64 n n))
(/ 11/24 (pow n 2))
(/.f64 #s(literal 11/24 binary64) (*.f64 n n))
(/ 11/24 (pow n 2))
(/.f64 #s(literal 11/24 binary64) (*.f64 n n))
(/ 11/24 (pow n 2))
(/.f64 #s(literal 11/24 binary64) (*.f64 n n))
(/ 11/24 (pow n 2))
(/.f64 #s(literal 11/24 binary64) (*.f64 n n))
(/ 11/24 (pow n 2))
(/.f64 #s(literal 11/24 binary64) (*.f64 n n))
(/ 11/24 (pow n 2))
(/.f64 #s(literal 11/24 binary64) (*.f64 n n))
(/ 11/24 (pow n 2))
(/.f64 #s(literal 11/24 binary64) (*.f64 n n))
(/ 11/24 (pow n 2))
(/.f64 #s(literal 11/24 binary64) (*.f64 n n))
(/ 11/24 (pow n 2))
(/.f64 #s(literal 11/24 binary64) (*.f64 n n))
(/ 11/24 (pow n 2))
(/.f64 #s(literal 11/24 binary64) (*.f64 n n))
(/ 11/24 (pow n 2))
(/.f64 #s(literal 11/24 binary64) (*.f64 n n))

eval133.0ms (0.9%)

Memory
-4.6MiB live, 275.5MiB allocated
Compiler

Compiled 29 697 to 2 928 computations (90.1% saved)

prune134.0ms (0.9%)

Memory
-8.3MiB live, 233.0MiB allocated
Pruning

48 alts after pruning (45 fresh and 3 done)

PrunedKeptTotal
New97425999
Fresh112031
Picked415
Done022
Total989481 037
Accuracy
100.0%
Counts
1 037 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.5%
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
59.4%
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
35.2%
(/.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)
49.1%
(/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 n i) #s(literal 0 binary64)) i)
30.5%
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
16.7%
(/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i)
✓10.7%
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
12.4%
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)
69.9%
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 i)) i)
69.4%
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 n (expm1.f64 i))))
17.4%
(/.f64 #s(literal 0 binary64) i)
30.1%
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
55.6%
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
30.5%
(*.f64 (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) n) i) #s(literal 100 binary64))
▶30.5%
(*.f64 (/.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) i) #s(literal 100 binary64))
59.4%
(*.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)))
57.4%
(*.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)))
39.2%
(*.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 n i)))
55.6%
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
58.8%
(*.f64 n (fma.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i)) #s(literal 100 binary64)))
▶76.0%
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
52.6%
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) n)) #s(literal 1 binary64))))
57.3%
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n)) #s(literal 1 binary64))))
✓47.7%
(*.f64 n #s(literal 100 binary64))
6.4%
(*.f64 i (/.f64 (*.f64 i #s(literal 100/3 binary64)) n))
6.4%
(*.f64 i (*.f64 (*.f64 i #s(literal 100/3 binary64)) (/.f64 #s(literal 1 binary64) n)))
▶2.6%
(*.f64 i #s(literal -50 binary64))
24.4%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
11.5%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) n (/.f64 n (neg.f64 i))))
24.0%
(*.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))))
57.4%
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) n))
42.9%
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) (*.f64 n n)) n))
26.8%
(*.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))
35.6%
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (fma.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 (*.f64 i i) #s(literal 11/24 binary64))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n)) n))
25.9%
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (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))
▶22.1%
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i i)) (/.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))
58.8%
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i i)) #s(literal 1/24 binary64)) n))
▶58.8%
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i))) n))
14.0%
(*.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)))
25.8%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)) (*.f64 i #s(literal -1/4 binary64))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
53.6%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (fma.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 i i) i)) i))
19.9%
(*.f64 #s(literal 100 binary64) (/.f64 (*.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)))) (/.f64 i n)))
12.0%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
49.2%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n i) i))
36.8%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (+.f64 #s(literal 1/6 binary64) (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 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1 binary64))) (/.f64 i n)))
✓74.1%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
12.4%
(*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n n) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))))
59.8%
(*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) (/.f64 n i)))
Compiler

Compiled 1 653 to 1 065 computations (35.6% saved)

simplify208.0ms (1.4%)

Memory
9.8MiB live, 212.3MiB 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) #s(literal -1 binary64))
✓cost-diff0
(*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)))
✓cost-diff0
(/.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) i)
✓cost-diff128
(*.f64 (/.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) i) #s(literal 100 binary64))
✓cost-diff0
(*.f64 n (*.f64 i i))
✓cost-diff0
(fma.f64 i (*.f64 (*.f64 n (*.f64 i i)) (/.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)
✓cost-diff0
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i i)) (/.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))
✓cost-diff640
(*.f64 (*.f64 n (*.f64 i i)) (/.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))))
✓cost-diff0
(*.f64 #s(literal 1/24 binary64) (*.f64 i i))
✓cost-diff0
(*.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i)))
✓cost-diff0
(fma.f64 i (*.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i))) n)
✓cost-diff320
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i))) n))
✓cost-diff0
(*.f64 i #s(literal -50 binary64))
✓cost-diff0
(expm1.f64 i)
✓cost-diff0
(/.f64 (expm1.f64 i) i)
✓cost-diff0
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
✓cost-diff0
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
Rules
5 802×*-lowering-*.f32
5 802×*-lowering-*.f64
4 670×accelerator-lowering-fma.f32
4 670×accelerator-lowering-fma.f64
3 318×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040260
1117260
2300252
31111252
43203246
08489222
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* n (* (/ (- (exp i) 1) i) 100))
n
(* (/ (- (exp i) 1) i) 100)
(/ (- (exp i) 1) i)
(- (exp i) 1)
i
100
(* i -50)
i
-50
(* 100 (+ (* i (* n (* 1/24 (* i i)))) n))
100
(+ (* i (* n (* 1/24 (* i i)))) n)
i
(* n (* 1/24 (* i i)))
n
(* 1/24 (* i i))
1/24
(* i i)
(* 100 (+ (* i (* (* n (* i i)) (/ (+ (* n (+ (* n -1/4) 11/24)) -1/4) (* n (* n n))))) n))
100
(+ (* i (* (* n (* i i)) (/ (+ (* n (+ (* n -1/4) 11/24)) -1/4) (* n (* n n))))) n)
i
(* (* n (* i i)) (/ (+ (* n (+ (* n -1/4) 11/24)) -1/4) (* n (* n n))))
(* n (* i i))
n
(* i i)
(/ (+ (* n (+ (* n -1/4) 11/24)) -1/4) (* n (* n n)))
(+ (* n (+ (* n -1/4) 11/24)) -1/4)
(+ (* n -1/4) 11/24)
-1/4
11/24
(* n (* n n))
(* n n)
(* (/ (* n (+ (pow (+ 1 (/ i n)) n) -1)) i) 100)
(/ (* n (+ (pow (+ 1 (/ i n)) n) -1)) i)
(* n (+ (pow (+ 1 (/ i n)) n) -1))
n
(+ (pow (+ 1 (/ i n)) n) -1)
(pow (+ 1 (/ i n)) n)
(+ 1 (/ i n))
1
(/ i n)
i
-1
100
Outputs
(* n (* (/ (- (exp i) 1) i) 100))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
n
(* (/ (- (exp i) 1) i) 100)
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
(/ (- (exp i) 1) i)
(/.f64 (expm1.f64 i) i)
(- (exp i) 1)
(expm1.f64 i)
i
100
#s(literal 100 binary64)
(* i -50)
(*.f64 i #s(literal -50 binary64))
i
-50
#s(literal -50 binary64)
(* 100 (+ (* i (* n (* 1/24 (* i i)))) n))
(*.f64 n (fma.f64 i (*.f64 (*.f64 i i) #s(literal 25/6 binary64)) #s(literal 100 binary64)))
100
#s(literal 100 binary64)
(+ (* i (* n (* 1/24 (* i i)))) n)
(fma.f64 (*.f64 i i) (*.f64 #s(literal 1/24 binary64) (*.f64 n i)) n)
i
(* n (* 1/24 (* i i)))
(*.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i)))
n
(* 1/24 (* i i))
(*.f64 #s(literal 1/24 binary64) (*.f64 i i))
1/24
#s(literal 1/24 binary64)
(* i i)
(*.f64 i i)
(* 100 (+ (* i (* (* n (* i i)) (/ (+ (* n (+ (* n -1/4) 11/24)) -1/4) (* n (* n n))))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 i i) (/.f64 (*.f64 i (fma.f64 n (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64)) #s(literal -1/4 binary64))) (*.f64 n n)) n))
100
#s(literal 100 binary64)
(+ (* i (* (* n (* i i)) (/ (+ (* n (+ (* n -1/4) 11/24)) -1/4) (* n (* n n))))) n)
(fma.f64 (*.f64 i i) (/.f64 (*.f64 i (fma.f64 n (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64)) #s(literal -1/4 binary64))) (*.f64 n n)) n)
i
(* (* n (* i i)) (/ (+ (* n (+ (* n -1/4) 11/24)) -1/4) (* n (* n n))))
(*.f64 (*.f64 i i) (/.f64 (fma.f64 n (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64)) #s(literal -1/4 binary64)) (*.f64 n n)))
(* n (* i i))
(*.f64 n (*.f64 i i))
n
(* i i)
(*.f64 i i)
(/ (+ (* n (+ (* n -1/4) 11/24)) -1/4) (* n (* n n)))
(/.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 (+ (* n -1/4) 11/24)) -1/4)
(fma.f64 n (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64)) #s(literal -1/4 binary64))
(+ (* n -1/4) 11/24)
(fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64))
-1/4
#s(literal -1/4 binary64)
11/24
#s(literal 11/24 binary64)
(* n (* n n))
(*.f64 n (*.f64 n n))
(* n n)
(*.f64 n n)
(* (/ (* n (+ (pow (+ 1 (/ i n)) n) -1)) i) 100)
(/.f64 (*.f64 n (fma.f64 #s(literal 100 binary64) (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -100 binary64))) i)
(/ (* n (+ (pow (+ 1 (/ i n)) n) -1)) i)
(/.f64 (fma.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 n)) i)
(* n (+ (pow (+ 1 (/ i n)) n) -1))
(fma.f64 n (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) (neg.f64 n))
n
(+ (pow (+ 1 (/ i n)) n) -1)
(+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal -1 binary64))
(pow (+ 1 (/ i n)) n)
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+ 1 (/ i n))
(+.f64 (/.f64 i n) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ i n)
(/.f64 i n)
i
-1
#s(literal -1 binary64)
100
#s(literal 100 binary64)

localize252.0ms (1.6%)

Memory
0.8MiB live, 238.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (/.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) i) #s(literal 100 binary64))
✓accuracy89.1%
(/.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) i)
✓accuracy77.2%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
✓accuracy38.6%
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))
✓accuracy99.6%
(fma.f64 i (*.f64 (*.f64 n (*.f64 i i)) (/.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)
✓accuracy89.3%
(*.f64 n (*.f64 i i))
✓accuracy79.8%
(*.f64 (*.f64 n (*.f64 i i)) (/.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))))
✓accuracy61.1%
(/.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)))
✓accuracy100.0%
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i))) n))
✓accuracy100.0%
(fma.f64 i (*.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i))) n)
✓accuracy99.7%
(*.f64 #s(literal 1/24 binary64) (*.f64 i i))
✓accuracy89.3%
(*.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i)))
✓accuracy100.0%
(*.f64 i #s(literal -50 binary64))
✓accuracy100.0%
(expm1.f64 i)
✓accuracy100.0%
(/.f64 (expm1.f64 i) i)
✓accuracy99.9%
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
✓accuracy99.9%
(*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))
Samples
92.0ms62×2valid
91.0ms142×1valid
15.0ms50×0valid
4.0ms2×5exit
Compiler

Compiled 249 to 41 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 139.0ms
ival-mult: 46.0ms (33.1% of total)
ival-pow: 40.0ms (28.8% of total)
adjust: 14.0ms (10.1% of total)
ival-add: 13.0ms (9.4% of total)
ival-div: 12.0ms (8.6% of total)
const: 10.0ms (7.2% of total)
ival-expm1: 3.0ms (2.2% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series34.0ms (0.2%)

Memory
12.5MiB live, 12.5MiB allocated
Counts
19 → 384
Calls
Call 1
Inputs
#<alt (* n (* (/ (- (exp i) 1) i) 100))>
#<alt (* (/ (- (exp i) 1) i) 100)>
#<alt (/ (- (exp i) 1) i)>
#<alt (- (exp i) 1)>
#<alt (* i -50)>
#<alt (* 100 (+ (* i (* n (* 1/24 (* i i)))) n))>
#<alt (+ (* i (* n (* 1/24 (* i i)))) n)>
#<alt (* n (* 1/24 (* i i)))>
#<alt (* 1/24 (* i i))>
#<alt (* (* n (* i i)) (/ (+ (* n (+ (* n -1/4) 11/24)) -1/4) (* n (* n n))))>
#<alt (* 100 (+ (* i (* (* n (* i i)) (/ (+ (* n (+ (* n -1/4) 11/24)) -1/4) (* n (* n n))))) n))>
#<alt (+ (* i (* (* n (* i i)) (/ (+ (* n (+ (* n -1/4) 11/24)) -1/4) (* n (* n n))))) n)>
#<alt (* n (* i i))>
#<alt (* (/ (* n (+ (pow (+ 1 (/ i n)) n) -1)) i) 100)>
#<alt (/ (* n (+ (pow (+ 1 (/ i n)) n) -1)) i)>
#<alt (* n (+ (pow (+ 1 (/ i n)) n) -1))>
#<alt (+ (pow (+ 1 (/ i n)) n) -1)>
#<alt (/ (+ (* n (+ (* n -1/4) 11/24)) -1/4) (* n (* n n)))>
#<alt (pow (+ 1 (/ i n)) n)>
Outputs
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 n)>
#<alt (+ (* 50 (* i n)) (* 100 n))>
#<alt (+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))>
#<alt (+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt (* 100 (/ (* n (- (exp i) 1)) i))>
#<alt 100>
#<alt (+ 100 (* 50 i))>
#<alt (+ 100 (* i (+ 50 (* 50/3 i))))>
#<alt (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt (* 100 (/ (- (exp i) 1) i))>
#<alt 1>
#<alt (+ 1 (* 1/2 i))>
#<alt (+ 1 (* i (+ 1/2 (* 1/6 i))))>
#<alt (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))>
#<alt (/ (- (exp i) 1) i)>
#<alt (/ (- (exp i) 1) i)>
#<alt (/ (- (exp i) 1) i)>
#<alt (/ (- (exp i) 1) i)>
#<alt (/ (- (exp i) 1) i)>
#<alt (/ (- (exp i) 1) i)>
#<alt (/ (- (exp i) 1) i)>
#<alt (/ (- (exp i) 1) i)>
#<alt i>
#<alt (* i (+ 1 (* 1/2 i)))>
#<alt (* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))>
#<alt (* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (- (exp i) 1)>
#<alt (* -50 i)>
#<alt (* -50 i)>
#<alt (* -50 i)>
#<alt (* -50 i)>
#<alt (* -50 i)>
#<alt (* -50 i)>
#<alt (* -50 i)>
#<alt (* -50 i)>
#<alt (* -50 i)>
#<alt (* -50 i)>
#<alt (* -50 i)>
#<alt (* -50 i)>
#<alt (* 100 n)>
#<alt (+ (* 25/6 (* (pow i 3) n)) (* 100 n))>
#<alt (+ (* 25/6 (* (pow i 3) n)) (* 100 n))>
#<alt (+ (* 25/6 (* (pow i 3) n)) (* 100 n))>
#<alt (* 25/6 (* (pow i 3) n))>
#<alt (* (pow i 3) (+ (* 25/6 n) (* 100 (/ n (pow i 3)))))>
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#<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))))>
#<alt (* (pow n 2) (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))>
#<alt (* (pow n 2) (+ (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 (* (pow n 2) (+ (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 (* n (- (exp i) 1))>
#<alt (* n (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1))>
#<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)))) 1))>
#<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))))) 1))>
#<alt (* n (- (exp i) 1))>
#<alt (* -1 (* n (+ (* -1 (- (exp i) 1)) (* 1/2 (/ (* (pow i 2) (exp i)) n)))))>
#<alt (* -1 (* n (+ (* -1 (- (exp i) 1)) (* -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 (/ (+ (* -1 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) n)) (* -1/2 (* (pow i 2) (exp i)))) n)))))>
#<alt (* i n)>
#<alt (* i (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (* 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 (* i (+ 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))>
#<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))>
#<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)))>
#<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))))>
#<alt (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))>
#<alt (+ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))>
#<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)))))) 1)))>
#<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)))))) 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 (* 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 (/ -1/4 (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 (* -1/4 n))) 1/4) (pow n 3))>
#<alt (/ -1/4 n)>
#<alt (/ (- (* 11/24 (/ 1 n)) 1/4) n)>
#<alt (/ (- (* 11/24 (/ 1 n)) (+ 1/4 (/ 1/4 (pow n 2)))) n)>
#<alt (/ (- (* 11/24 (/ 1 n)) (+ 1/4 (/ 1/4 (pow n 2)))) n)>
#<alt (/ -1/4 n)>
#<alt (* -1 (/ (- 1/4 (* 11/24 (/ 1 n))) n))>
#<alt (* -1 (/ (+ 1/4 (* -1 (/ (- 11/24 (* 1/4 (/ 1 n))) n))) n))>
#<alt (* -1 (/ (+ 1/4 (* -1 (/ (- 11/24 (* 1/4 (/ 1 n))) n))) n))>
#<alt 1>
#<alt (+ 1 i)>
#<alt (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))>
#<alt (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))>
#<alt (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))>
#<alt (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))>
#<alt (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))>
#<alt (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))>
#<alt 1>
#<alt (+ 1 (* n (+ (log i) (* -1 (log n)))))>
#<alt (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))>
#<alt (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))>
#<alt (exp i)>
#<alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))>
#<alt (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))>
#<alt (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))>
#<alt (exp i)>
#<alt (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))>
#<alt (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))>
#<alt (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))>
Calls

96 calls:

TimeVariablePointExpression
11.0ms
n
@-inf
(* 100 (+ (* i (* n (* 1/24 (* i i)))) n))
1.0ms
i
@0
(* (* n (* i i)) (/ (+ (* n (+ (* n -1/4) 11/24)) -1/4) (* n (* n n))))
1.0ms
n
@0
(* 100 (+ (* i (* n (* 1/24 (* i i)))) n))
1.0ms
i
@inf
(* 100 (+ (* i (* (* n (* i i)) (/ (+ (* n (+ (* n -1/4) 11/24)) -1/4) (* n (* n n))))) n))
1.0ms
n
@inf
(* 100 (+ (* i (* n (* 1/24 (* i i)))) n))

rewrite370.0ms (2.4%)

Memory
7.6MiB live, 164.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 824×/-lowering-/.f32
4 824×/-lowering-/.f64
4 228×*-lowering-*.f32
4 228×*-lowering-*.f64
3 990×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040207
1232207
21756199
08454179
Stop Event
1×iter limit
1×node limit
Counts
19 → 626
Calls
Call 1
Inputs
(* n (* (/ (- (exp i) 1) i) 100))
(* (/ (- (exp i) 1) i) 100)
(/ (- (exp i) 1) i)
(- (exp i) 1)
(* i -50)
(* 100 (+ (* i (* n (* 1/24 (* i i)))) n))
(+ (* i (* n (* 1/24 (* i i)))) n)
(* n (* 1/24 (* i i)))
(* 1/24 (* i i))
(* (* n (* i i)) (/ (+ (* n (+ (* n -1/4) 11/24)) -1/4) (* n (* n n))))
(* 100 (+ (* i (* (* n (* i i)) (/ (+ (* n (+ (* n -1/4) 11/24)) -1/4) (* n (* n n))))) n))
(+ (* i (* (* n (* i i)) (/ (+ (* n (+ (* n -1/4) 11/24)) -1/4) (* n (* n n))))) n)
(* n (* i i))
(* (/ (* n (+ (pow (+ 1 (/ i n)) n) -1)) i) 100)
(/ (* n (+ (pow (+ 1 (/ i n)) n) -1)) i)
(* n (+ (pow (+ 1 (/ i n)) n) -1))
(+ (pow (+ 1 (/ i n)) n) -1)
(/ (+ (* n (+ (* n -1/4) 11/24)) -1/4) (* n (* n n)))
(pow (+ 1 (/ i n)) n)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n)))
(/.f64 (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64))) i)
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i)
(/.f64 (neg.f64 (*.f64 n (*.f64 (expm1.f64 i) #s(literal 100 binary64)))) (neg.f64 i))
(/.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n)) (neg.f64 i))
(*.f64 n (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i))
(*.f64 (/.f64 (expm1.f64 i) i) (*.f64 n #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i) n)
(*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 i) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) #s(literal 100 binary64))
(/.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) (/.f64 (/.f64 i (expm1.f64 i)) #s(literal 100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 i) (*.f64 #s(literal 100 binary64) (neg.f64 (expm1.f64 i)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 i) (*.f64 (neg.f64 (expm1.f64 i)) #s(literal 100 binary64))))
(/.f64 #s(literal 100 binary64) (/.f64 i (expm1.f64 i)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64)))))
(/.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) i)
(/.f64 (neg.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64))) (neg.f64 i))
(/.f64 (*.f64 #s(literal 100 binary64) (neg.f64 (expm1.f64 i))) (neg.f64 i))
(/.f64 (*.f64 (neg.f64 (expm1.f64 i)) #s(literal 100 binary64)) (neg.f64 i))
(/.f64 #s(literal -100 binary64) (neg.f64 (/.f64 i (expm1.f64 i))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (neg.f64 (expm1.f64 i)))) (neg.f64 (neg.f64 i)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 i)) #s(literal 100 binary64))) (neg.f64 (neg.f64 i)))
(pow.f64 (/.f64 i (*.f64 (expm1.f64 i) #s(literal 100 binary64))) #s(literal -1 binary64))
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(*.f64 (/.f64 (fma.f64 (*.f64 n (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64))) (*.f64 n (*.f64 (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64)) (*.f64 n (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64))))) #s(literal -1/64 binary64)) n) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 n (*.f64 (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64)) (*.f64 n (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64)))) #s(literal 1/16 binary64)) (*.f64 n (*.f64 (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64)) #s(literal -1/4 binary64))))) (*.f64 n n)))
(*.f64 (/.f64 (fma.f64 (*.f64 n (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64))) (*.f64 n (*.f64 (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64)) (*.f64 n (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64))))) #s(literal -1/64 binary64)) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 n (*.f64 (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64)) (*.f64 n (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64)))) #s(literal 1/16 binary64)) (*.f64 n (*.f64 (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64)) #s(literal -1/4 binary64))))) n))
(*.f64 (/.f64 (fma.f64 (*.f64 n (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64))) (*.f64 n (*.f64 (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64)) (*.f64 n (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64))))) #s(literal -1/64 binary64)) (pow.f64 n #s(literal 3/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 n (*.f64 (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64)) (*.f64 n (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64)))) #s(literal 1/16 binary64)) (*.f64 n (*.f64 (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64)) #s(literal -1/4 binary64))))) (pow.f64 n #s(literal 3/2 binary64))))
(*.f64 (/.f64 (fma.f64 n (*.f64 (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64)) (*.f64 n (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64)))) #s(literal -1/16 binary64)) n) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64)) #s(literal 1/4 binary64))) (*.f64 n n)))
(*.f64 (/.f64 (fma.f64 n (*.f64 (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64)) (*.f64 n (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64)))) #s(literal -1/16 binary64)) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64)) #s(literal 1/4 binary64))) n))
(*.f64 (/.f64 (fma.f64 n (*.f64 (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64)) (*.f64 n (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64)))) #s(literal -1/16 binary64)) (pow.f64 n #s(literal 3/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n (fma.f64 n #s(literal -1/4 binary64) #s(literal 11/24 binary64)) #s(literal 1/4 binary64))) (pow.f64 n #s(literal 3/2 binary64))))
(exp.f64 (*.f64 n (log1p.f64 (/.f64 i n))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n)))) (*.f64 n #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)) (*.f64 (log1p.f64 (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64)))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 (*.f64 n #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 n n)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) (+.f64 #s(literal 1 binary64) (/.f64 i n))) (*.f64 n #s(literal 1/2 binary64)))
(pow.f64 (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)))))

simplify487.0ms (3.2%)

Memory
-30.0MiB live, 261.4MiB allocated
Algorithm
1×egg-herbie
Rules
10 538×accelerator-lowering-fma.f32
10 538×accelerator-lowering-fma.f64
7 418×*-lowering-*.f32
7 418×*-lowering-*.f64
5 104×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08257598
125987096
083326489
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
Calls
Call 1
Inputs
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 n)
(+ (* 50 (* i n)) (* 100 n))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
(* 100 (/ (* n (- (exp i) 1)) i))
100
(+ 100 (* 50 i))
(+ 100 (* i (+ 50 (* 50/3 i))))
(+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))
(* 100 (/ (- (exp i) 1) i))
(* 100 (/ (- (exp i) 1) i))
(* 100 (/ (- (exp i) 1) i))
(* 100 (/ (- (exp i) 1) i))
(* 100 (/ (- (exp i) 1) i))
(* 100 (/ (- (exp i) 1) i))
(* 100 (/ (- (exp i) 1) i))
(* 100 (/ (- (exp i) 1) i))
1
(+ 1 (* 1/2 i))
(+ 1 (* i (+ 1/2 (* 1/6 i))))
(+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
(/ (- (exp i) 1) i)
i
(* i (+ 1 (* 1/2 i)))
(* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(- (exp i) 1)
(* -50 i)
(* -50 i)
(* -50 i)
(* -50 i)
(* -50 i)
(* -50 i)
(* -50 i)
(* -50 i)
(* -50 i)
(* -50 i)
(* -50 i)
(* -50 i)
(* 100 n)
(+ (* 25/6 (* (pow i 3) n)) (* 100 n))
(+ (* 25/6 (* (pow i 3) n)) (* 100 n))
(+ (* 25/6 (* (pow i 3) n)) (* 100 n))
(* 25/6 (* (pow i 3) n))
(* (pow i 3) (+ (* 25/6 n) (* 100 (/ n (pow i 3)))))
(* (pow i 3) (+ (* 25/6 n) (* 100 (/ n (pow i 3)))))
(* (pow i 3) (+ (* 25/6 n) (* 100 (/ n (pow i 3)))))
(* 25/6 (* (pow i 3) n))
(* -1 (* (pow i 3) (+ (* -100 (/ n (pow i 3))) (* -25/6 n))))
(* -1 (* (pow i 3) (+ (* -100 (/ n (pow i 3))) (* -25/6 n))))
(* -1 (* (pow i 3) (+ (* -100 (/ n (pow i 3))) (* -25/6 n))))
(* 100 (* n (+ 1 (* 1/24 (pow i 3)))))
(* 100 (* n (+ 1 (* 1/24 (pow i 3)))))
(* 100 (* n (+ 1 (* 1/24 (pow i 3)))))
(* 100 (* n (+ 1 (* 1/24 (pow i 3)))))
(* 100 (* n (+ 1 (* 1/24 (pow i 3)))))
(* 100 (* n (+ 1 (* 1/24 (pow i 3)))))
(* 100 (* n (+ 1 (* 1/24 (pow i 3)))))
(* 100 (* n (+ 1 (* 1/24 (pow i 3)))))
(* -100 (* n (- (* -1/24 (pow i 3)) 1)))
(* -100 (* n (- (* -1/24 (pow i 3)) 1)))
(* -100 (* n (- (* -1/24 (pow i 3)) 1)))
(* -100 (* n (- (* -1/24 (pow i 3)) 1)))
n
(+ n (* 1/24 (* (pow i 3) n)))
(+ n (* 1/24 (* (pow i 3) n)))
(+ n (* 1/24 (* (pow i 3) n)))
(* 1/24 (* (pow i 3) n))
(* (pow i 3) (+ (* 1/24 n) (/ n (pow i 3))))
(* (pow i 3) (+ (* 1/24 n) (/ n (pow i 3))))
(* (pow i 3) (+ (* 1/24 n) (/ n (pow i 3))))
(* 1/24 (* (pow i 3) n))
(* -1 (* (pow i 3) (+ (* -1 (/ n (pow i 3))) (* -1/24 n))))
(* -1 (* (pow i 3) (+ (* -1 (/ n (pow i 3))) (* -1/24 n))))
(* -1 (* (pow i 3) (+ (* -1 (/ n (pow i 3))) (* -1/24 n))))
(* n (+ 1 (* 1/24 (pow i 3))))
(* n (+ 1 (* 1/24 (pow i 3))))
(* n (+ 1 (* 1/24 (pow i 3))))
(* n (+ 1 (* 1/24 (pow i 3))))
(* n (+ 1 (* 1/24 (pow i 3))))
(* n (+ 1 (* 1/24 (pow i 3))))
(* n (+ 1 (* 1/24 (pow i 3))))
(* n (+ 1 (* 1/24 (pow i 3))))
(* -1 (* n (- (* -1/24 (pow i 3)) 1)))
(* -1 (* n (- (* -1/24 (pow i 3)) 1)))
(* -1 (* n (- (* -1/24 (pow i 3)) 1)))
(* -1 (* n (- (* -1/24 (pow i 3)) 1)))
(* 1/24 (* (pow i 2) n))
(* 1/24 (* (pow i 2) n))
(* 1/24 (* (pow i 2) n))
(* 1/24 (* (pow i 2) n))
(* 1/24 (* (pow i 2) n))
(* 1/24 (* (pow i 2) n))
(* 1/24 (* (pow i 2) n))
(* 1/24 (* (pow i 2) n))
(* 1/24 (* (pow i 2) n))
(* 1/24 (* (pow i 2) n))
(* 1/24 (* (pow i 2) n))
(* 1/24 (* (pow i 2) n))
(* 1/24 (* (pow i 2) n))
(* 1/24 (* (pow i 2) n))
(* 1/24 (* (pow i 2) n))
(* 1/24 (* (pow i 2) n))
(* 1/24 (* (pow i 2) n))
(* 1/24 (* (pow i 2) n))
(* 1/24 (* (pow i 2) n))
(* 1/24 (* (pow i 2) n))
(* 1/24 (* (pow i 2) n))
(* 1/24 (* (pow i 2) n))
(* 1/24 (* (pow i 2) n))
(* 1/24 (* (pow i 2) n))
(* 1/24 (pow i 2))
(* 1/24 (pow i 2))
(* 1/24 (pow i 2))
(* 1/24 (pow i 2))
(* 1/24 (pow i 2))
(* 1/24 (pow i 2))
(* 1/24 (pow i 2))
(* 1/24 (pow i 2))
(* 1/24 (pow i 2))
(* 1/24 (pow i 2))
(* 1/24 (pow i 2))
(* 1/24 (pow i 2))
(* -1/4 (/ (pow i 2) (pow n 2)))
(/ (+ (* -1/4 (pow i 2)) (* 11/24 (* (pow i 2) n))) (pow n 2))
(/ (+ (* -1/4 (pow i 2)) (* n (+ (* -1/4 (* (pow i 2) n)) (* 11/24 (pow i 2))))) (pow n 2))
(/ (+ (* -1/4 (pow i 2)) (* n (+ (* -1/4 (* (pow i 2) n)) (* 11/24 (pow i 2))))) (pow n 2))
(* -1/4 (pow i 2))
(+ (* -1/4 (pow i 2)) (* 11/24 (/ (pow i 2) n)))
(+ (* -1/4 (/ (pow i 2) (pow n 2))) (+ (* -1/4 (pow i 2)) (* 11/24 (/ (pow i 2) n))))
(+ (* -1/4 (/ (pow i 2) (pow n 2))) (+ (* -1/4 (pow i 2)) (* 11/24 (/ (pow i 2) n))))
(* -1/4 (pow i 2))
(+ (* -1/4 (pow i 2)) (* 11/24 (/ (pow i 2) n)))
(+ (* -1 (/ (+ (* -11/24 (pow i 2)) (* 1/4 (/ (pow i 2) n))) n)) (* -1/4 (pow i 2)))
(+ (* -1 (/ (+ (* -11/24 (pow i 2)) (* 1/4 (/ (pow i 2) n))) n)) (* -1/4 (pow i 2)))
(/ (* (pow i 2) (- (* n (+ 11/24 (* -1/4 n))) 1/4)) (pow n 2))
(/ (* (pow i 2) (- (* n (+ 11/24 (* -1/4 n))) 1/4)) (pow n 2))
(/ (* (pow i 2) (- (* n (+ 11/24 (* -1/4 n))) 1/4)) (pow n 2))
(/ (* (pow i 2) (- (* n (+ 11/24 (* -1/4 n))) 1/4)) (pow n 2))
(/ (* (pow i 2) (- (* n (+ 11/24 (* -1/4 n))) 1/4)) (pow n 2))
(/ (* (pow i 2) (- (* n (+ 11/24 (* -1/4 n))) 1/4)) (pow n 2))
(/ (* (pow i 2) (- (* n (+ 11/24 (* -1/4 n))) 1/4)) (pow n 2))
(/ (* (pow i 2) (- (* n (+ 11/24 (* -1/4 n))) 1/4)) (pow n 2))
(/ (* (pow i 2) (- (* n (+ 11/24 (* -1/4 n))) 1/4)) (pow n 2))
(/ (* (pow i 2) (- (* n (+ 11/24 (* -1/4 n))) 1/4)) (pow n 2))
(/ (* (pow i 2) (- (* n (+ 11/24 (* -1/4 n))) 1/4)) (pow n 2))
(/ (* (pow i 2) (- (* n (+ 11/24 (* -1/4 n))) 1/4)) (pow n 2))
(* 100 n)
(+ (* 100 n) (* 100 (* (pow i 3) (- (* 11/24 (/ 1 n)) (+ 1/4 (* 1/4 (/ 1 (pow n 2))))))))
(+ (* 100 n) (* 100 (* (pow i 3) (- (* 11/24 (/ 1 n)) (+ 1/4 (* 1/4 (/ 1 (pow n 2))))))))
(+ (* 100 n) (* 100 (* (pow i 3) (- (* 11/24 (/ 1 n)) (+ 1/4 (* 1/4 (/ 1 (pow n 2))))))))
(* 100 (* (pow i 3) (- (* 11/24 (/ 1 n)) (+ 1/4 (* 1/4 (/ 1 (pow n 2)))))))
(* (pow i 3) (+ (* 100 (- (* 11/24 (/ 1 n)) (+ 1/4 (* 1/4 (/ 1 (pow n 2)))))) (* 100 (/ n (pow i 3)))))
(* (pow i 3) (+ (* 100 (- (* 11/24 (/ 1 n)) (+ 1/4 (* 1/4 (/ 1 (pow n 2)))))) (* 100 (/ n (pow i 3)))))
(* (pow i 3) (+ (* 100 (- (* 11/24 (/ 1 n)) (+ 1/4 (* 1/4 (/ 1 (pow n 2)))))) (* 100 (/ n (pow i 3)))))
(* 100 (/ (* (pow i 3) (- (* n (+ 11/24 (* -1/4 n))) 1/4)) (pow n 2)))
(* -1 (* (pow i 3) (+ (* -100 (/ n (pow i 3))) (* -100 (/ (- (* n (+ 11/24 (* -1/4 n))) 1/4) (pow n 2))))))
(* -1 (* (pow i 3) (+ (* -100 (/ n (pow i 3))) (* -100 (/ (- (* n (+ 11/24 (* -1/4 n))) 1/4) (pow n 2))))))
(* -1 (* (pow i 3) (+ (* -100 (/ n (pow i 3))) (* -100 (/ (- (* n (+ 11/24 (* -1/4 n))) 1/4) (pow n 2))))))
(* -25 (/ (pow i 3) (pow n 2)))
(/ (+ (* -25 (pow i 3)) (* 275/6 (* (pow i 3) n))) (pow n 2))
(/ (+ (* -25 (pow i 3)) (* n (+ (* -25 (* (pow i 3) n)) (* 275/6 (pow i 3))))) (pow n 2))
(/ (+ (* -25 (pow i 3)) (* n (+ (* 275/6 (pow i 3)) (* n (+ (* -25 (pow i 3)) (* 100 n)))))) (pow n 2))
(* 100 n)
(* n (+ 100 (* -25 (/ (pow i 3) n))))
(* n (+ 100 (+ (* -25 (/ (pow i 3) n)) (* 275/6 (/ (pow i 3) (pow n 2))))))
(* n (+ 100 (+ (* -25 (/ (pow i 3) n)) (+ (* -25 (/ (pow i 3) (pow n 3))) (* 275/6 (/ (pow i 3) (pow n 2)))))))
(* 100 n)
(* -1 (* n (- (* 25 (/ (pow i 3) n)) 100)))
(* -1 (* n (- (* -1 (/ (+ (* -25 (pow i 3)) (* 275/6 (/ (pow i 3) n))) n)) 100)))
(* -1 (* n (- (* -1 (/ (+ (* -25 (pow i 3)) (* -1 (/ (+ (* -275/6 (pow i 3)) (* 25 (/ (pow i 3) n))) n))) n)) 100)))
n
(+ n (* (pow i 3) (- (* 11/24 (/ 1 n)) (+ 1/4 (* 1/4 (/ 1 (pow n 2)))))))
(+ n (* (pow i 3) (- (* 11/24 (/ 1 n)) (+ 1/4 (* 1/4 (/ 1 (pow n 2)))))))
(+ n (* (pow i 3) (- (* 11/24 (/ 1 n)) (+ 1/4 (* 1/4 (/ 1 (pow n 2)))))))
(* (pow i 3) (- (* 11/24 (/ 1 n)) (+ 1/4 (* 1/4 (/ 1 (pow n 2))))))
(* (pow i 3) (- (+ (* 11/24 (/ 1 n)) (/ n (pow i 3))) (+ 1/4 (* 1/4 (/ 1 (pow n 2))))))
(* (pow i 3) (- (+ (* 11/24 (/ 1 n)) (/ n (pow i 3))) (+ 1/4 (* 1/4 (/ 1 (pow n 2))))))
(* (pow i 3) (- (+ (* 11/24 (/ 1 n)) (/ n (pow i 3))) (+ 1/4 (* 1/4 (/ 1 (pow n 2))))))
(/ (* (pow i 3) (- (* n (+ 11/24 (* -1/4 n))) 1/4)) (pow n 2))
(* -1 (* (pow i 3) (+ (* -1 (/ n (pow i 3))) (* -1 (/ (- (* n (+ 11/24 (* -1/4 n))) 1/4) (pow n 2))))))
(* -1 (* (pow i 3) (+ (* -1 (/ n (pow i 3))) (* -1 (/ (- (* n (+ 11/24 (* -1/4 n))) 1/4) (pow n 2))))))
(* -1 (* (pow i 3) (+ (* -1 (/ n (pow i 3))) (* -1 (/ (- (* n (+ 11/24 (* -1/4 n))) 1/4) (pow n 2))))))
(* -1/4 (/ (pow i 3) (pow n 2)))
(/ (+ (* -1/4 (pow i 3)) (* 11/24 (* (pow i 3) n))) (pow n 2))
(/ (+ (* -1/4 (pow i 3)) (* n (+ (* -1/4 (* (pow i 3) n)) (* 11/24 (pow i 3))))) (pow n 2))
(/ (+ (* -1/4 (pow i 3)) (* n (+ (* 11/24 (pow i 3)) (* n (+ n (* -1/4 (pow i 3))))))) (pow n 2))
n
(* n (+ 1 (* -1/4 (/ (pow i 3) n))))
(* n (+ 1 (+ (* -1/4 (/ (pow i 3) n)) (* 11/24 (/ (pow i 3) (pow n 2))))))
(* n (+ 1 (+ (* -1/4 (/ (pow i 3) n)) (+ (* -1/4 (/ (pow i 3) (pow n 3))) (* 11/24 (/ (pow i 3) (pow n 2)))))))
n
(* -1 (* n (- (* 1/4 (/ (pow i 3) n)) 1)))
(* -1 (* n (- (* -1 (/ (+ (* -1/4 (pow i 3)) (* 11/24 (/ (pow i 3) n))) n)) 1)))
(* -1 (* n (- (* -1 (/ (+ (* -1 (/ (+ (* -11/24 (pow i 3)) (* 1/4 (/ (pow i 3) n))) n)) (* -1/4 (pow i 3))) n)) 1)))
(* (pow i 2) n)
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(+ (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
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 (/ (* n (- (exp i) 1)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 n (expm1.f64 i))) i)
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(+ (* 50 (* i n)) (* 100 n))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(+ (* 100 n) (* i (+ (* 50/3 (* i n)) (* 50 n))))
(fma.f64 i (*.f64 n (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(+ (* 100 n) (* i (+ (* 50 n) (* i (+ (* 25/6 (* i n)) (* 50/3 n))))))
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i (*.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 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
#s(literal 100 binary64)
(+ 100 (* 50 i))
(fma.f64 i #s(literal 50 binary64) #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)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 i))
(fma.f64 i #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* i (+ 1/2 (* 1/6 i))))
(fma.f64 i (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))
(fma.f64 i (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ (- (exp i) 1) i)
(/.f64 (expm1.f64 i) i)
(/ (- (exp i) 1) i)
(/.f64 (expm1.f64 i) i)
(/ (- (exp i) 1) i)
(/.f64 (expm1.f64 i) i)
(/ (- (exp i) 1) i)
(/.f64 (expm1.f64 i) i)
(/ (- (exp i) 1) i)
(/.f64 (expm1.f64 i) i)
(/ (- (exp i) 1) i)
(/.f64 (expm1.f64 i) i)
(/ (- (exp i) 1) i)
(/.f64 (expm1.f64 i) i)
(/ (- (exp i) 1) i)
(/.f64 (expm1.f64 i) i)
i
(* i (+ 1 (* 1/2 i)))
(fma.f64 i (*.f64 i #s(literal 1/2 binary64)) i)
(* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))
(fma.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 i i) i)
(* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))
(fma.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 i i) i)
(- (exp i) 1)
(expm1.f64 i)
(- (exp i) 1)
(expm1.f64 i)
(- (exp i) 1)
(expm1.f64 i)
(- (exp i) 1)
(expm1.f64 i)
(- (exp i) 1)
(expm1.f64 i)
(- (exp i) 1)
(expm1.f64 i)
(- (exp i) 1)
(expm1.f64 i)
(- (exp i) 1)
(expm1.f64 i)
(* -50 i)
(*.f64 i #s(literal -50 binary64))
(* -50 i)
(*.f64 i #s(literal -50 binary64))
(* -50 i)
(*.f64 i #s(literal -50 binary64))
(* -50 i)
(*.f64 i #s(literal -50 binary64))
(* -50 i)
(*.f64 i #s(literal -50 binary64))
(* -50 i)
(*.f64 i #s(literal -50 binary64))
(* -50 i)
(*.f64 i #s(literal -50 binary64))
(* -50 i)
(*.f64 i #s(literal -50 binary64))
(* -50 i)
(*.f64 i #s(literal -50 binary64))
(* -50 i)
(*.f64 i #s(literal -50 binary64))
(* -50 i)
(*.f64 i #s(literal -50 binary64))
(* -50 i)
(*.f64 i #s(literal -50 binary64))
(* 100 n)
(*.f64 #s(literal 100 binary64) n)
(+ (* 25/6 (* (pow i 3) n)) (* 100 n))
(*.f64 n (fma.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i)) #s(literal 100 binary64)))
(+ (* 25/6 (* (pow i 3) n)) (* 100 n))
(*.f64 n (fma.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i)) #s(literal 100 binary64)))
(+ (* 25/6 (* (pow i 3) n)) (* 100 n))
(*.f64 n (fma.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i)) #s(literal 100 binary64)))
(* 25/6 (* (pow i 3) n))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(* (pow i 3) (+ (* 25/6 n) (* 100 (/ n (pow i 3)))))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 #s(literal 100 binary64) (/.f64 n (*.f64 i (*.f64 i i))) (*.f64 n #s(literal 25/6 binary64))))
(* (pow i 3) (+ (* 25/6 n) (* 100 (/ n (pow i 3)))))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 #s(literal 100 binary64) (/.f64 n (*.f64 i (*.f64 i i))) (*.f64 n #s(literal 25/6 binary64))))
(* (pow i 3) (+ (* 25/6 n) (* 100 (/ n (pow i 3)))))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 #s(literal 100 binary64) (/.f64 n (*.f64 i (*.f64 i i))) (*.f64 n #s(literal 25/6 binary64))))
(* 25/6 (* (pow i 3) n))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(* -1 (* (pow i 3) (+ (* -100 (/ n (pow i 3))) (* -25/6 n))))
(*.f64 (fma.f64 (/.f64 n (*.f64 i (*.f64 i i))) #s(literal -100 binary64) (*.f64 n #s(literal -25/6 binary64))) (neg.f64 (*.f64 i (*.f64 i i))))
(* -1 (* (pow i 3) (+ (* -100 (/ n (pow i 3))) (* -25/6 n))))
(*.f64 (fma.f64 (/.f64 n (*.f64 i (*.f64 i i))) #s(literal -100 binary64) (*.f64 n #s(literal -25/6 binary64))) (neg.f64 (*.f64 i (*.f64 i i))))
(* -1 (* (pow i 3) (+ (* -100 (/ n (pow i 3))) (* -25/6 n))))
(*.f64 (fma.f64 (/.f64 n (*.f64 i (*.f64 i i))) #s(literal -100 binary64) (*.f64 n #s(literal -25/6 binary64))) (neg.f64 (*.f64 i (*.f64 i i))))
(* 100 (* n (+ 1 (* 1/24 (pow i 3)))))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i (*.f64 i i))) n))
(* 100 (* n (+ 1 (* 1/24 (pow i 3)))))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i (*.f64 i i))) n))
(* 100 (* n (+ 1 (* 1/24 (pow i 3)))))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i (*.f64 i i))) n))
(* 100 (* n (+ 1 (* 1/24 (pow i 3)))))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i (*.f64 i i))) n))
(* 100 (* n (+ 1 (* 1/24 (pow i 3)))))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i (*.f64 i i))) n))
(* 100 (* n (+ 1 (* 1/24 (pow i 3)))))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i (*.f64 i i))) n))
(* 100 (* n (+ 1 (* 1/24 (pow i 3)))))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i (*.f64 i i))) n))
(* 100 (* n (+ 1 (* 1/24 (pow i 3)))))
(*.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i (*.f64 i i))) n))
(* -100 (* n (- (* -1/24 (pow i 3)) 1)))
(*.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal -1/24 binary64)) #s(literal -1 binary64)) (*.f64 n #s(literal -100 binary64)))
(* -100 (* n (- (* -1/24 (pow i 3)) 1)))
(*.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal -1/24 binary64)) #s(literal -1 binary64)) (*.f64 n #s(literal -100 binary64)))
(* -100 (* n (- (* -1/24 (pow i 3)) 1)))
(*.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal -1/24 binary64)) #s(literal -1 binary64)) (*.f64 n #s(literal -100 binary64)))
(* -100 (* n (- (* -1/24 (pow i 3)) 1)))
(*.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal -1/24 binary64)) #s(literal -1 binary64)) (*.f64 n #s(literal -100 binary64)))
n
(+ n (* 1/24 (* (pow i 3) n)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i (*.f64 i i))) n)
(+ n (* 1/24 (* (pow i 3) n)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i (*.f64 i i))) n)
(+ n (* 1/24 (* (pow i 3) n)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i (*.f64 i i))) n)
(* 1/24 (* (pow i 3) n))
(*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i (*.f64 i i))))
(* (pow i 3) (+ (* 1/24 n) (/ n (pow i 3))))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 n #s(literal 1/24 binary64) (/.f64 n (*.f64 i (*.f64 i i)))))
(* (pow i 3) (+ (* 1/24 n) (/ n (pow i 3))))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 n #s(literal 1/24 binary64) (/.f64 n (*.f64 i (*.f64 i i)))))
(* (pow i 3) (+ (* 1/24 n) (/ n (pow i 3))))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 n #s(literal 1/24 binary64) (/.f64 n (*.f64 i (*.f64 i i)))))
(* 1/24 (* (pow i 3) n))
(*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i (*.f64 i i))))
(* -1 (* (pow i 3) (+ (* -1 (/ n (pow i 3))) (* -1/24 n))))
(*.f64 (-.f64 (*.f64 n #s(literal -1/24 binary64)) (/.f64 n (*.f64 i (*.f64 i i)))) (neg.f64 (*.f64 i (*.f64 i i))))
(* -1 (* (pow i 3) (+ (* -1 (/ n (pow i 3))) (* -1/24 n))))
(*.f64 (-.f64 (*.f64 n #s(literal -1/24 binary64)) (/.f64 n (*.f64 i (*.f64 i i)))) (neg.f64 (*.f64 i (*.f64 i i))))
(* -1 (* (pow i 3) (+ (* -1 (/ n (pow i 3))) (* -1/24 n))))
(*.f64 (-.f64 (*.f64 n #s(literal -1/24 binary64)) (/.f64 n (*.f64 i (*.f64 i i)))) (neg.f64 (*.f64 i (*.f64 i i))))
(* n (+ 1 (* 1/24 (pow i 3))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i (*.f64 i i))) n)
(* n (+ 1 (* 1/24 (pow i 3))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i (*.f64 i i))) n)
(* n (+ 1 (* 1/24 (pow i 3))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i (*.f64 i i))) n)
(* n (+ 1 (* 1/24 (pow i 3))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i (*.f64 i i))) n)
(* n (+ 1 (* 1/24 (pow i 3))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i (*.f64 i i))) n)
(* n (+ 1 (* 1/24 (pow i 3))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i (*.f64 i i))) n)
(* n (+ 1 (* 1/24 (pow i 3))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i (*.f64 i i))) n)
(* n (+ 1 (* 1/24 (pow i 3))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i (*.f64 i i))) n)
(* -1 (* n (- (* -1/24 (pow i 3)) 1)))
(neg.f64 (*.f64 n (fma.f64 i (*.f64 (*.f64 i i) #s(literal -1/24 binary64)) #s(literal -1 binary64))))
(* -1 (* n (- (* -1/24 (pow i 3)) 1)))
(neg.f64 (*.f64 n (fma.f64 i (*.f64 (*.f64 i i) #s(literal -1/24 binary64)) #s(literal -1 binary64))))
(* -1 (* n (- (* -1/24 (pow i 3)) 1)))
(neg.f64 (*.f64 n (fma.f64 i (*.f64 (*.f64 i i) #s(literal -1/24 binary64)) #s(literal -1 binary64))))
(* -1 (* n (- (* -1/24 (pow i 3)) 1)))
(neg.f64 (*.f64 n (fma.f64 i (*.f64 (*.f64 i i) #s(literal -1/24 binary64)) #s(literal -1 binary64))))
(* 1/24 (* (pow i 2) n))
(*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i)))
(* 1/24 (* (pow i 2) n))
(*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i)))
(* 1/24 (* (pow i 2) n))
(*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i)))
(* 1/24 (* (pow i 2) n))
(*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i)))
(* 1/24 (* (pow i 2) n))
(*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i)))
(* 1/24 (* (pow i 2) n))
(*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i)))
(* 1/24 (* (pow i 2) n))
(*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i)))
(* 1/24 (* (pow i 2) n))
(*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i)))
(* 1/24 (* (pow i 2) n))
(*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i)))
(* 1/24 (* (pow i 2) n))
(*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i)))
(* 1/24 (* (pow i 2) n))
(*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i)))
(* 1/24 (* (pow i 2) n))
(*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i)))
(* 1/24 (* (pow i 2) n))
(*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i)))
(* 1/24 (* (pow i 2) n))
(*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i)))
(* 1/24 (* (pow i 2) n))
(*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i)))
(* 1/24 (* (pow i 2) n))
(*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i)))
(* 1/24 (* (pow i 2) n))
(*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i)))
(* 1/24 (* (pow i 2) n))
(*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i)))
(* 1/24 (* (pow i 2) n))
(*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i)))
(* 1/24 (* (pow i 2) n))
(*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i)))
(* 1/24 (* (pow i 2) n))
(*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i)))
(* 1/24 (* (pow i 2) n))
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(/ (- (* 11/24 (/ 1 n)) 1/4) n)
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(/ (- (* 11/24 (/ 1 n)) (+ 1/4 (/ 1/4 (pow n 2)))) n)
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 11/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) n) #s(literal 1/4 binary64)) n)
(/ (- (* 11/24 (/ 1 n)) (+ 1/4 (/ 1/4 (pow n 2)))) n)
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 11/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) n) #s(literal 1/4 binary64)) n)
(/ -1/4 n)
(/.f64 #s(literal -1/4 binary64) n)
(* -1 (/ (- 1/4 (* 11/24 (/ 1 n))) n))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 11/24 binary64) n)) (neg.f64 n))
(* -1 (/ (+ 1/4 (* -1 (/ (- 11/24 (* 1/4 (/ 1 n))) n))) n))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 11/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) n)) (neg.f64 n))
(* -1 (/ (+ 1/4 (* -1 (/ (- 11/24 (* 1/4 (/ 1 n))) n))) n))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 11/24 binary64) (/.f64 #s(literal -1/4 binary64) n)) n)) (neg.f64 n))
1
#s(literal 1 binary64)
(+ 1 i)
(+.f64 i #s(literal 1 binary64))
(+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
(fma.f64 i (fma.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
(fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
(exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))
(fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))
(fma.f64 n (*.f64 n (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i)) (fma.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))))
(+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
(fma.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (/.f64 (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 i i)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 4 binary64))))) (*.f64 i (*.f64 i i)))) (fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) (exp.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))))
(exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))
(exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))
(fma.f64 (*.f64 n n) (/.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) i) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))
(-.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (neg.f64 (*.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 n n (/.f64 (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) i)))) i))
(+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))
(-.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (neg.f64 (fma.f64 n (*.f64 n (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (-.f64 (*.f64 (fma.f64 n (*.f64 (*.f64 n n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (*.f64 (exp.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/3 binary64))))) i)) i))) i))
1
#s(literal 1 binary64)
(+ 1 (* n (+ (log i) (* -1 (log n)))))
(fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) #s(literal 1 binary64))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))
(fma.f64 n (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i)) (-.f64 (log.f64 i) (log.f64 n))) #s(literal 1 binary64))
(+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
(fma.f64 n (fma.f64 n (fma.f64 n (+.f64 (-.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))) #s(literal 1 binary64))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(fma.f64 (*.f64 i i) (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (exp.f64 i))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))
(fma.f64 (exp.f64 i) (/.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (*.f64 n n)) (fma.f64 (*.f64 i i) (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (exp.f64 i)))
(+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))
(fma.f64 (exp.f64 i) (+.f64 (/.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) (*.f64 n n)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 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)))) (fma.f64 (*.f64 i i) (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (exp.f64 i)))
(exp i)
(exp.f64 i)
(+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))
(fma.f64 (*.f64 i i) (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (exp.f64 i))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(-.f64 (exp.f64 i) (/.f64 (fma.f64 (neg.f64 (exp.f64 i)) (/.f64 (fma.f64 i (*.f64 (*.f64 i i) #s(literal 1/3 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/8 binary64))) n) (*.f64 #s(literal 1/2 binary64) (*.f64 i (*.f64 i (exp.f64 i))))) n))
(+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))
(-.f64 (exp.f64 i) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i (*.f64 i (exp.f64 i)))) (/.f64 (-.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)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/48 binary64)))) (/.f64 (exp.f64 i) n))) n)) n))

eval118.0ms (0.8%)

Memory
28.6MiB live, 176.1MiB allocated
Compiler

Compiled 28 513 to 3 332 computations (88.3% saved)

prune149.0ms (1%)

Memory
-12.9MiB live, 269.3MiB allocated
Pruning

57 alts after pruning (52 fresh and 5 done)

PrunedKeptTotal
New991191 010
Fresh73340
Picked325
Done033
Total1 001571 058
Accuracy
100.0%
Counts
1 058 → 57
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.8%
(fma.f64 (*.f64 n i) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 i i)) #s(literal 100 binary64)) (*.f64 n #s(literal 100 binary64)))
59.4%
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i (*.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))))))
55.5%
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
21.2%
(/.f64 (fma.f64 n (fma.f64 n (fma.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64) (*.f64 #s(literal 100 binary64) n)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 275/6 binary64))) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64))) (*.f64 n n))
35.2%
(/.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)
49.1%
(/.f64 (fma.f64 #s(literal 100 binary64) (*.f64 n i) #s(literal 0 binary64)) i)
30.5%
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
34.3%
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 n (*.f64 i i))) (*.f64 i (*.f64 n (*.f64 i i)))) #s(literal 1/576 binary64) (neg.f64 (*.f64 n n))) #s(literal 100 binary64)) (fma.f64 i (*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i))) (neg.f64 n)))
69.8%
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i)
16.7%
(/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i)
✓10.7%
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
12.4%
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)
69.4%
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 n (expm1.f64 i))))
17.4%
(/.f64 #s(literal 0 binary64) i)
30.1%
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
55.6%
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
58.8%
(*.f64 (fma.f64 i (*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i))) n) #s(literal 100 binary64))
30.5%
(*.f64 (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) n) i) #s(literal 100 binary64))
20.3%
(*.f64 (/.f64 (*.f64 (*.f64 n n) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i)) (-.f64 (log.f64 i) (log.f64 n)))) i) #s(literal 100 binary64))
✓30.5%
(*.f64 (/.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) i) #s(literal 100 binary64))
12.4%
(*.f64 (/.f64 (*.f64 n (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) #s(literal 100 binary64))
49.2%
(*.f64 (/.f64 (*.f64 n i) i) #s(literal 100 binary64))
13.4%
(*.f64 (*.f64 (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 n i)) #s(literal 100 binary64))
57.4%
(*.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)))
21.0%
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 #s(literal 100 binary64) (/.f64 n (*.f64 i (*.f64 i i))) (*.f64 n #s(literal 25/6 binary64))))
39.2%
(*.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 n i)))
59.4%
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
57.4%
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
55.6%
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
58.8%
(*.f64 n (fma.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i)) #s(literal 100 binary64)))
75.7%
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)))
75.5%
(*.f64 n (*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64))))
52.6%
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) n)) #s(literal 1 binary64))))
57.3%
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n)) #s(literal 1 binary64))))
18.9%
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
✓47.7%
(*.f64 n #s(literal 100 binary64))
6.4%
(*.f64 i (/.f64 (*.f64 i #s(literal 100/3 binary64)) n))
6.4%
(*.f64 i (*.f64 (*.f64 i #s(literal 100/3 binary64)) (/.f64 #s(literal 1 binary64) n)))
✓2.6%
(*.f64 i #s(literal -50 binary64))
24.4%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
11.5%
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) n (/.f64 n (neg.f64 i))))
24.0%
(*.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))))
42.9%
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) (*.f64 n n)) n))
26.8%
(*.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))
35.6%
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (fma.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 (*.f64 i i) #s(literal 11/24 binary64))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n)) n))
25.9%
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (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))
23.1%
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (*.f64 (*.f64 n (*.f64 i i)) (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))
47.6%
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) n))
14.0%
(*.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)))
25.8%
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)) (*.f64 i #s(literal -1/4 binary64))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
53.6%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (fma.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 i i) i)) i))
12.0%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
36.8%
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (+.f64 #s(literal 1/6 binary64) (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 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1 binary64))) (/.f64 i n)))
✓74.1%
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
12.4%
(*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n n) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))))
59.8%
(*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) (/.f64 n i)))
47.6%
(*.f64 #s(literal 100 binary64) (neg.f64 (*.f64 n (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 i (*.f64 i i)) n) #s(literal -1 binary64)))))
Compiler

Compiled 2 525 to 1 037 computations (58.9% saved)

regimes94.0ms (0.6%)

Memory
-8.5MiB live, 121.4MiB allocated
Counts
91 → 4
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n i) i))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) n))
(*.f64 i (/.f64 (*.f64 i #s(literal 100/3 binary64)) n))
(*.f64 n (fma.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i)) #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 n i) i) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(*.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 #s(literal 100 binary64) (*.f64 n i) #s(literal 0 binary64)) i)
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i i)) #s(literal 1/24 binary64)) n))
(*.f64 i (*.f64 (*.f64 i #s(literal 100/3 binary64)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (fma.f64 i (*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i))) n) #s(literal 100 binary64))
(*.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 n (fma.f64 i (fma.f64 (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (neg.f64 i) #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 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(fma.f64 (*.f64 n i) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 i i)) #s(literal 100 binary64)) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i (*.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) n (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (neg.f64 (*.f64 n (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 i (*.f64 i i)) n) #s(literal -1 binary64)))))
(*.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 n i)))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 i i) #s(literal 100/3 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (*.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) n)
(*.f64 #s(literal 100 binary64) (/.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)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (fma.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 i i) i)) i))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 #s(literal 100 binary64) (/.f64 n (*.f64 i (*.f64 i i))) (*.f64 n #s(literal 25/6 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) (*.f64 n n)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) n)) #s(literal 1 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i i)) (/.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))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (*.f64 (*.f64 n (*.f64 i i)) (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))
(/.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))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (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 (fma.f64 n (fma.f64 n (fma.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64) (*.f64 #s(literal 100 binary64) n)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 275/6 binary64))) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64))) (*.f64 n n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i 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)))))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (fma.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 (*.f64 i i) #s(literal 11/24 binary64))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n)) n))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 n (*.f64 i i))) (*.f64 i (*.f64 n (*.f64 i i)))) #s(literal 1/576 binary64) (neg.f64 (*.f64 n n))) #s(literal 100 binary64)) (fma.f64 i (*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i))) (neg.f64 n)))
(*.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 (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)) (*.f64 i #s(literal -1/4 binary64))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 i)) i)
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i)
(*.f64 n (*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 n (expm1.f64 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 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
(*.f64 (/.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) i) #s(literal 100 binary64))
(*.f64 (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) n) i) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 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) (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (+.f64 #s(literal 1/6 binary64) (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 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1 binary64))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i 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)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
(*.f64 (/.f64 (*.f64 n (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n n) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 i (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (/.f64 (expm1.f64 i) i))))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(*.f64 n (fma.f64 (/.f64 (*.f64 i (exp.f64 i)) n) #s(literal -50 binary64) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))))
(*.f64 n (fma.f64 (/.f64 (*.f64 i (exp.f64 i)) n) #s(literal -50 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 i)) i)))
(/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) i)
(*.f64 (*.f64 (expm1.f64 (*.f64 n (-.f64 (neg.f64 (log.f64 (neg.f64 n))) (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 n i)) #s(literal 100 binary64))
(*.f64 (/.f64 (*.f64 (*.f64 n n) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) i)) (-.f64 (log.f64 i) (log.f64 n)))) i) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (*.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)))) (/.f64 i n)))
Outputs
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
(*.f64 n #s(literal 100 binary64))
Calls

4 calls:

26.0ms
i
24.0ms
n
20.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
18.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
90.8%5i
90.2%3n
95.7%4(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
95.7%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes86.0ms (0.6%)

Memory
1.0MiB live, 118.6MiB allocated
Counts
84 → 4
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n i) i))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) n))
(*.f64 i (/.f64 (*.f64 i #s(literal 100/3 binary64)) n))
(*.f64 n (fma.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i)) #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 n i) i) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(*.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 #s(literal 100 binary64) (*.f64 n i) #s(literal 0 binary64)) i)
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i i)) #s(literal 1/24 binary64)) n))
(*.f64 i (*.f64 (*.f64 i #s(literal 100/3 binary64)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (fma.f64 i (*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i))) n) #s(literal 100 binary64))
(*.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 n (fma.f64 i (fma.f64 (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (neg.f64 i) #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 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(fma.f64 (*.f64 n i) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 i i)) #s(literal 100 binary64)) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i (*.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) n (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (neg.f64 (*.f64 n (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 i (*.f64 i i)) n) #s(literal -1 binary64)))))
(*.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 n i)))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 i i) #s(literal 100/3 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (*.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) n)
(*.f64 #s(literal 100 binary64) (/.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)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (fma.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 i i) i)) i))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 #s(literal 100 binary64) (/.f64 n (*.f64 i (*.f64 i i))) (*.f64 n #s(literal 25/6 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) (*.f64 n n)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) n)) #s(literal 1 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i i)) (/.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))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (*.f64 (*.f64 n (*.f64 i i)) (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))
(/.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))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (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 (fma.f64 n (fma.f64 n (fma.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64) (*.f64 #s(literal 100 binary64) n)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 275/6 binary64))) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64))) (*.f64 n n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i 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)))))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (fma.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 (*.f64 i i) #s(literal 11/24 binary64))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n)) n))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 n (*.f64 i i))) (*.f64 i (*.f64 n (*.f64 i i)))) #s(literal 1/576 binary64) (neg.f64 (*.f64 n n))) #s(literal 100 binary64)) (fma.f64 i (*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i))) (neg.f64 n)))
(*.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 (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)) (*.f64 i #s(literal -1/4 binary64))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 i)) i)
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i)
(*.f64 n (*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 n (expm1.f64 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 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
(*.f64 (/.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) i) #s(literal 100 binary64))
(*.f64 (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) n) i) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 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) (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (+.f64 #s(literal 1/6 binary64) (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 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1 binary64))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i 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)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
(*.f64 (/.f64 (*.f64 n (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n n) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))))
(*.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 i (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (/.f64 (expm1.f64 i) i))))
Outputs
(*.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 i (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (/.f64 (expm1.f64 i) i))))
(/.f64 #s(literal 0 binary64) i)
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
Calls

4 calls:

23.0ms
n
23.0ms
i
18.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
17.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
78.5%2i
84.8%4n
82.5%4(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
82.5%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes26.0ms (0.2%)

Memory
-4.8MiB live, 37.0MiB allocated
Counts
83 → 4
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n i) i))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) n))
(*.f64 i (/.f64 (*.f64 i #s(literal 100/3 binary64)) n))
(*.f64 n (fma.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i)) #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 n i) i) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(*.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 #s(literal 100 binary64) (*.f64 n i) #s(literal 0 binary64)) i)
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i i)) #s(literal 1/24 binary64)) n))
(*.f64 i (*.f64 (*.f64 i #s(literal 100/3 binary64)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (fma.f64 i (*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i))) n) #s(literal 100 binary64))
(*.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 n (fma.f64 i (fma.f64 (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (neg.f64 i) #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 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(fma.f64 (*.f64 n i) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 i i)) #s(literal 100 binary64)) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i (*.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) n (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (neg.f64 (*.f64 n (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 i (*.f64 i i)) n) #s(literal -1 binary64)))))
(*.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 n i)))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 i i) #s(literal 100/3 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (*.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) n)
(*.f64 #s(literal 100 binary64) (/.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)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (fma.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 i i) i)) i))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 #s(literal 100 binary64) (/.f64 n (*.f64 i (*.f64 i i))) (*.f64 n #s(literal 25/6 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) (*.f64 n n)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) n)) #s(literal 1 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i i)) (/.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))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (*.f64 (*.f64 n (*.f64 i i)) (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))
(/.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))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (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 (fma.f64 n (fma.f64 n (fma.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64) (*.f64 #s(literal 100 binary64) n)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 275/6 binary64))) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64))) (*.f64 n n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i 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)))))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (fma.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 (*.f64 i i) #s(literal 11/24 binary64))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n)) n))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 n (*.f64 i i))) (*.f64 i (*.f64 n (*.f64 i i)))) #s(literal 1/576 binary64) (neg.f64 (*.f64 n n))) #s(literal 100 binary64)) (fma.f64 i (*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i))) (neg.f64 n)))
(*.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 (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)) (*.f64 i #s(literal -1/4 binary64))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 i)) i)
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i)
(*.f64 n (*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 n (expm1.f64 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 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
(*.f64 (/.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) i) #s(literal 100 binary64))
(*.f64 (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) n) i) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 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) (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (+.f64 #s(literal 1/6 binary64) (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 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1 binary64))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i 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)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
(*.f64 (/.f64 (*.f64 n (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (*.f64 n n) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))))
Outputs
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
Calls

1 calls:

22.0ms
n
Results
AccuracySegmentsBranch
84.5%4n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes25.0ms (0.2%)

Memory
0.0MiB live, 38.9MiB allocated
Counts
81 → 3
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n i) i))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) n))
(*.f64 i (/.f64 (*.f64 i #s(literal 100/3 binary64)) n))
(*.f64 n (fma.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i)) #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 n i) i) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(*.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 #s(literal 100 binary64) (*.f64 n i) #s(literal 0 binary64)) i)
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i i)) #s(literal 1/24 binary64)) n))
(*.f64 i (*.f64 (*.f64 i #s(literal 100/3 binary64)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (fma.f64 i (*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i))) n) #s(literal 100 binary64))
(*.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 n (fma.f64 i (fma.f64 (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (neg.f64 i) #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 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(fma.f64 (*.f64 n i) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 i i)) #s(literal 100 binary64)) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i (*.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) n (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (neg.f64 (*.f64 n (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 i (*.f64 i i)) n) #s(literal -1 binary64)))))
(*.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 n i)))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 i i) #s(literal 100/3 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (*.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) n)
(*.f64 #s(literal 100 binary64) (/.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)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (fma.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 i i) i)) i))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 #s(literal 100 binary64) (/.f64 n (*.f64 i (*.f64 i i))) (*.f64 n #s(literal 25/6 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) (*.f64 n n)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) n)) #s(literal 1 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i i)) (/.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))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (*.f64 (*.f64 n (*.f64 i i)) (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))
(/.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))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (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 (fma.f64 n (fma.f64 n (fma.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64) (*.f64 #s(literal 100 binary64) n)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 275/6 binary64))) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64))) (*.f64 n n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i 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)))))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (fma.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 (*.f64 i i) #s(literal 11/24 binary64))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n)) n))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 n (*.f64 i i))) (*.f64 i (*.f64 n (*.f64 i i)))) #s(literal 1/576 binary64) (neg.f64 (*.f64 n n))) #s(literal 100 binary64)) (fma.f64 i (*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i))) (neg.f64 n)))
(*.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 (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)) (*.f64 i #s(literal -1/4 binary64))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)))
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (expm1.f64 i)) i)
(/.f64 (*.f64 (*.f64 n (expm1.f64 i)) #s(literal 100 binary64)) i)
(/.f64 (*.f64 (*.f64 (expm1.f64 i) #s(literal 100 binary64)) n) i)
(*.f64 n (*.f64 (expm1.f64 i) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 100 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 #s(literal 100 binary64) (/.f64 i (*.f64 n (expm1.f64 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 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i))
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) n) i)
(*.f64 (/.f64 (*.f64 n (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64))) i) #s(literal 100 binary64))
(*.f64 (/.f64 (-.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) n) i) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) n (/.f64 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) (/.f64 (*.f64 i (fma.f64 i (fma.f64 i (+.f64 #s(literal 1/6 binary64) (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 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1 binary64))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (fma.f64 i (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 n (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) i (*.f64 i (neg.f64 n))) (*.f64 i 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)))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i))))
(*.f64 (/.f64 (*.f64 n (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) i) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (-.f64 (log.f64 i) (log.f64 n))) i)
Outputs
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))
Calls

1 calls:

21.0ms
n
Results
AccuracySegmentsBranch
82.4%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.1%)

Memory
-10.9MiB live, 28.7MiB allocated
Counts
59 → 3
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n i) i))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) n))
(*.f64 i (/.f64 (*.f64 i #s(literal 100/3 binary64)) n))
(*.f64 n (fma.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i)) #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 n i) i) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(*.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 #s(literal 100 binary64) (*.f64 n i) #s(literal 0 binary64)) i)
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i i)) #s(literal 1/24 binary64)) n))
(*.f64 i (*.f64 (*.f64 i #s(literal 100/3 binary64)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (fma.f64 i (*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i))) n) #s(literal 100 binary64))
(*.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 n (fma.f64 i (fma.f64 (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (neg.f64 i) #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 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(fma.f64 (*.f64 n i) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 i i)) #s(literal 100 binary64)) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i (*.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) n (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (neg.f64 (*.f64 n (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 i (*.f64 i i)) n) #s(literal -1 binary64)))))
(*.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 n i)))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 i i) #s(literal 100/3 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (*.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) n)
(*.f64 #s(literal 100 binary64) (/.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)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (fma.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 i i) i)) i))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 #s(literal 100 binary64) (/.f64 n (*.f64 i (*.f64 i i))) (*.f64 n #s(literal 25/6 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) (*.f64 n n)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) n)) #s(literal 1 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i i)) (/.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))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (*.f64 (*.f64 n (*.f64 i i)) (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))
(/.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))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (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 (fma.f64 n (fma.f64 n (fma.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64) (*.f64 #s(literal 100 binary64) n)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 275/6 binary64))) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64))) (*.f64 n n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i 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)))))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (fma.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 (*.f64 i i) #s(literal 11/24 binary64))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n)) n))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 n (*.f64 i i))) (*.f64 i (*.f64 n (*.f64 i i)))) #s(literal 1/576 binary64) (neg.f64 (*.f64 n n))) #s(literal 100 binary64)) (fma.f64 i (*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i))) (neg.f64 n)))
(*.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 (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)) (*.f64 i #s(literal -1/4 binary64))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)))
Outputs
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 n (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)))
Calls

1 calls:

15.0ms
n
Results
AccuracySegmentsBranch
82.0%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes43.0ms (0.3%)

Memory
20.0MiB live, 59.4MiB allocated
Counts
58 → 5
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n i) i))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) n))
(*.f64 i (/.f64 (*.f64 i #s(literal 100/3 binary64)) n))
(*.f64 n (fma.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i)) #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 n i) i) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(*.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 #s(literal 100 binary64) (*.f64 n i) #s(literal 0 binary64)) i)
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i i)) #s(literal 1/24 binary64)) n))
(*.f64 i (*.f64 (*.f64 i #s(literal 100/3 binary64)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (fma.f64 i (*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i))) n) #s(literal 100 binary64))
(*.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 n (fma.f64 i (fma.f64 (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (neg.f64 i) #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 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(fma.f64 (*.f64 n i) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 i i)) #s(literal 100 binary64)) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i (*.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) n (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (neg.f64 (*.f64 n (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 i (*.f64 i i)) n) #s(literal -1 binary64)))))
(*.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 n i)))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 i i) #s(literal 100/3 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (*.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) n)
(*.f64 #s(literal 100 binary64) (/.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)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (fma.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 i i) i)) i))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 #s(literal 100 binary64) (/.f64 n (*.f64 i (*.f64 i i))) (*.f64 n #s(literal 25/6 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) (*.f64 n n)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) n)) #s(literal 1 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i i)) (/.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))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (*.f64 (*.f64 n (*.f64 i i)) (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))
(/.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))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (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 (fma.f64 n (fma.f64 n (fma.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64) (*.f64 #s(literal 100 binary64) n)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 275/6 binary64))) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64))) (*.f64 n n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i 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)))))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (fma.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 (*.f64 i i) #s(literal 11/24 binary64))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n)) n))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 n (*.f64 i i))) (*.f64 i (*.f64 n (*.f64 i i)))) #s(literal 1/576 binary64) (neg.f64 (*.f64 n n))) #s(literal 100 binary64)) (fma.f64 i (*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i))) (neg.f64 n)))
(*.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 (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)) (*.f64 i #s(literal -1/4 binary64))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) (/.f64 n i)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))
Calls

3 calls:

15.0ms
n
13.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
12.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
75.1%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)))
75.1%2(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
84.0%5n
Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes58.0ms (0.4%)

Memory
1.2MiB live, 83.0MiB allocated
Counts
57 → 2
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n i) i))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) n))
(*.f64 i (/.f64 (*.f64 i #s(literal 100/3 binary64)) n))
(*.f64 n (fma.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i)) #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 n i) i) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(*.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 #s(literal 100 binary64) (*.f64 n i) #s(literal 0 binary64)) i)
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i i)) #s(literal 1/24 binary64)) n))
(*.f64 i (*.f64 (*.f64 i #s(literal 100/3 binary64)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (fma.f64 i (*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i))) n) #s(literal 100 binary64))
(*.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 n (fma.f64 i (fma.f64 (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (neg.f64 i) #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 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(fma.f64 (*.f64 n i) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 i i)) #s(literal 100 binary64)) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i (*.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) n (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (neg.f64 (*.f64 n (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 i (*.f64 i i)) n) #s(literal -1 binary64)))))
(*.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 n i)))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 i i) #s(literal 100/3 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (*.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) n)
(*.f64 #s(literal 100 binary64) (/.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)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (fma.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 i i) i)) i))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 #s(literal 100 binary64) (/.f64 n (*.f64 i (*.f64 i i))) (*.f64 n #s(literal 25/6 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) (*.f64 n n)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) n)) #s(literal 1 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i i)) (/.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))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (*.f64 (*.f64 n (*.f64 i i)) (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))
(/.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))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (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 (fma.f64 n (fma.f64 n (fma.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64) (*.f64 #s(literal 100 binary64) n)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 275/6 binary64))) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64))) (*.f64 n n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i 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)))))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (fma.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 (*.f64 i i) #s(literal 11/24 binary64))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n)) n))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 n (*.f64 i i))) (*.f64 i (*.f64 n (*.f64 i i)))) #s(literal 1/576 binary64) (neg.f64 (*.f64 n n))) #s(literal 100 binary64)) (fma.f64 i (*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i))) (neg.f64 n)))
(*.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 (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)) (*.f64 i #s(literal -1/4 binary64))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) (/.f64 n i)))
Outputs
(*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 n #s(literal 100 binary64))
Calls

4 calls:

16.0ms
n
15.0ms
i
12.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
12.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
75.1%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)))
75.1%2(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
76.2%3i
75.2%5n
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes56.0ms (0.4%)

Memory
13.1MiB live, 91.7MiB allocated
Counts
56 → 5
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n i) i))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) n))
(*.f64 i (/.f64 (*.f64 i #s(literal 100/3 binary64)) n))
(*.f64 n (fma.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i)) #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 n i) i) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(*.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 #s(literal 100 binary64) (*.f64 n i) #s(literal 0 binary64)) i)
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i i)) #s(literal 1/24 binary64)) n))
(*.f64 i (*.f64 (*.f64 i #s(literal 100/3 binary64)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (fma.f64 i (*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i))) n) #s(literal 100 binary64))
(*.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 n (fma.f64 i (fma.f64 (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (neg.f64 i) #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 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(fma.f64 (*.f64 n i) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 i i)) #s(literal 100 binary64)) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i (*.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) n (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (neg.f64 (*.f64 n (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 i (*.f64 i i)) n) #s(literal -1 binary64)))))
(*.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 n i)))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 i i) #s(literal 100/3 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (*.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) n)
(*.f64 #s(literal 100 binary64) (/.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)) i))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (fma.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 i i) i)) i))
(*.f64 (*.f64 i (*.f64 i i)) (fma.f64 #s(literal 100 binary64) (/.f64 n (*.f64 i (*.f64 i i))) (*.f64 n #s(literal 25/6 binary64))))
(*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (/.f64 (fma.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/3 binary64))) (*.f64 n n)) n))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 i (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) i) (/.f64 i n)))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (fma.f64 i (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i (fma.f64 i #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) n)) #s(literal 1 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (fma.f64 i (fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i i)) (/.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))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (*.f64 (*.f64 n (*.f64 i i)) (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))
(/.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))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (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 (fma.f64 n (fma.f64 n (fma.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64) (*.f64 #s(literal 100 binary64) n)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 275/6 binary64))) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -25 binary64))) (*.f64 n n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i 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)))))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 n (fma.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 (*.f64 i i) #s(literal 11/24 binary64))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 n n)) n))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 i (*.f64 n (*.f64 i i))) (*.f64 i (*.f64 n (*.f64 i i)))) #s(literal 1/576 binary64) (neg.f64 (*.f64 n n))) #s(literal 100 binary64)) (fma.f64 i (*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i))) (neg.f64 n)))
(*.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 (fma.f64 i (fma.f64 i (fma.f64 i (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n n)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (fma.f64 i (/.f64 (fma.f64 n (fma.f64 i #s(literal 11/24 binary64) #s(literal 1/3 binary64)) (*.f64 i #s(literal -1/4 binary64))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) i) (/.f64 i n)))
Outputs
(*.f64 #s(literal 100 binary64) (/.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)) i))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.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)) i))
Calls

4 calls:

15.0ms
i
14.0ms
n
13.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
12.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
71.5%5n
63.1%2i
59.4%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
59.4%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes12.0ms (0.1%)

Memory
-21.2MiB live, 20.6MiB allocated
Counts
36 → 3
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n i) i))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) n))
(*.f64 i (/.f64 (*.f64 i #s(literal 100/3 binary64)) n))
(*.f64 n (fma.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i)) #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 n i) i) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(*.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 #s(literal 100 binary64) (*.f64 n i) #s(literal 0 binary64)) i)
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i i)) #s(literal 1/24 binary64)) n))
(*.f64 i (*.f64 (*.f64 i #s(literal 100/3 binary64)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (fma.f64 i (*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i))) n) #s(literal 100 binary64))
(*.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 n (fma.f64 i (fma.f64 (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (neg.f64 i) #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 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(fma.f64 (*.f64 n i) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 i i)) #s(literal 100 binary64)) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i (*.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) n (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (neg.f64 (*.f64 n (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 i (*.f64 i i)) n) #s(literal -1 binary64)))))
(*.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 n i)))
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 i i) #s(literal 100/3 binary64) (*.f64 (*.f64 #s(literal 100 binary64) i) (*.f64 n (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) n)
Outputs
(*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n)) #s(literal 1 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n)))
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i (*.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))))))
Calls

1 calls:

11.0ms
n
Results
AccuracySegmentsBranch
67.8%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
15.2MiB live, 15.2MiB allocated
Counts
34 → 4
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n i) i))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) n))
(*.f64 i (/.f64 (*.f64 i #s(literal 100/3 binary64)) n))
(*.f64 n (fma.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i)) #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 n i) i) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(*.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 #s(literal 100 binary64) (*.f64 n i) #s(literal 0 binary64)) i)
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i i)) #s(literal 1/24 binary64)) n))
(*.f64 i (*.f64 (*.f64 i #s(literal 100/3 binary64)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (fma.f64 i (*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i))) n) #s(literal 100 binary64))
(*.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 n (fma.f64 i (fma.f64 (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (neg.f64 i) #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 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(fma.f64 (*.f64 n i) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 i i)) #s(literal 100 binary64)) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i (*.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))))))
(*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) i) n (/.f64 n (neg.f64 i))))
(*.f64 #s(literal 100 binary64) (neg.f64 (*.f64 n (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 i (*.f64 i i)) n) #s(literal -1 binary64)))))
(*.f64 (*.f64 i #s(literal 100 binary64)) (fma.f64 n (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 n i)))
Outputs
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(/.f64 #s(literal 0 binary64) i)
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i (*.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))))))
Calls

1 calls:

9.0ms
n
Results
AccuracySegmentsBranch
69.3%4n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
-25.6MiB live, 13.8MiB allocated
Counts
30 → 4
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n i) i))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) n))
(*.f64 i (/.f64 (*.f64 i #s(literal 100/3 binary64)) n))
(*.f64 n (fma.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i)) #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 n i) i) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(*.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 #s(literal 100 binary64) (*.f64 n i) #s(literal 0 binary64)) i)
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i i)) #s(literal 1/24 binary64)) n))
(*.f64 i (*.f64 (*.f64 i #s(literal 100/3 binary64)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (fma.f64 i (*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i))) n) #s(literal 100 binary64))
(*.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 n (fma.f64 i (fma.f64 (fma.f64 i #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (neg.f64 i) #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 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n i) n) #s(literal 100 binary64))
(fma.f64 (*.f64 n i) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 i i)) #s(literal 100 binary64)) (*.f64 n #s(literal 100 binary64)))
(fma.f64 i (fma.f64 i (*.f64 n (fma.f64 #s(literal 25/6 binary64) i #s(literal 50/3 binary64))) (*.f64 n #s(literal 50 binary64))) (*.f64 #s(literal 100 binary64) n))
Outputs
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(/.f64 #s(literal 0 binary64) i)
(*.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))
Calls

1 calls:

9.0ms
n
Results
AccuracySegmentsBranch
69.3%4n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated
Counts
23 → 4
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n i) i))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) n))
(*.f64 i (/.f64 (*.f64 i #s(literal 100/3 binary64)) n))
(*.f64 n (fma.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i)) #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 n i) i) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(*.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 #s(literal 100 binary64) (*.f64 n i) #s(literal 0 binary64)) i)
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i i)) #s(literal 1/24 binary64)) n))
(*.f64 i (*.f64 (*.f64 i #s(literal 100/3 binary64)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (fma.f64 i (*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i))) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
Outputs
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
Calls

1 calls:

7.0ms
n
Results
AccuracySegmentsBranch
69.3%4n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0%)

Memory
15.8MiB live, 15.8MiB allocated
Counts
22 → 3
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n i) i))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) n))
(*.f64 i (/.f64 (*.f64 i #s(literal 100/3 binary64)) n))
(*.f64 n (fma.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i)) #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 n i) i) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(*.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 #s(literal 100 binary64) (*.f64 n i) #s(literal 0 binary64)) i)
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 n (*.f64 #s(literal 1/24 binary64) (*.f64 i i))) n))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 n (*.f64 i i)) #s(literal 1/24 binary64)) n))
(*.f64 i (*.f64 (*.f64 i #s(literal 100/3 binary64)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (fma.f64 i (*.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 i i))) n) #s(literal 100 binary64))
Outputs
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))
Calls

1 calls:

6.0ms
n
Results
AccuracySegmentsBranch
67.7%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0%)

Memory
-31.5MiB live, 8.2MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n i) i))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) n))
(*.f64 i (/.f64 (*.f64 i #s(literal 100/3 binary64)) n))
(*.f64 n (fma.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i)) #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 n i) i) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
(*.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 #s(literal 100 binary64) (*.f64 n i) #s(literal 0 binary64)) i)
Outputs
(*.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 #s(literal 0 binary64) i)
(*.f64 n (fma.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i)) #s(literal 100 binary64)))
Calls

1 calls:

6.0ms
n
Results
AccuracySegmentsBranch
67.2%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n i) i))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) n))
(*.f64 i (/.f64 (*.f64 i #s(literal 100/3 binary64)) n))
(*.f64 n (fma.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i)) #s(literal 100 binary64)))
(*.f64 (/.f64 (*.f64 n i) i) #s(literal 100 binary64))
(/.f64 (*.f64 (*.f64 i i) #s(literal 100/3 binary64)) n)
Outputs
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 n (fma.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i)) #s(literal 100 binary64)))
Calls

1 calls:

4.0ms
n
Results
AccuracySegmentsBranch
67.2%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i #s(literal -50 binary64)))
(*.f64 n (*.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i))))
(*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n i) i))
(*.f64 #s(literal 100 binary64) (fma.f64 i (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) n))
(*.f64 i (/.f64 (*.f64 i #s(literal 100/3 binary64)) n))
Outputs
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 n (fma.f64 i (fma.f64 i #s(literal 50/3 binary64) #s(literal 50 binary64)) #s(literal 100 binary64)))
Calls

1 calls:

4.0ms
n
Results
AccuracySegmentsBranch
65.7%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 (fma.f64 n (*.f64 i #s(literal 1/2 binary64)) n) #s(literal 100 binary64))
Outputs
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(/.f64 #s(literal 0 binary64) i)
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
Calls

2 calls:

2.0ms
n
2.0ms
i
Results
AccuracySegmentsBranch
60.1%2i
63.8%3n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0%)

Memory
-23.1MiB live, 16.6MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
Outputs
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
Calls

4 calls:

2.0ms
i
2.0ms
n
1.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i 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)))
Results
AccuracySegmentsBranch
55.6%1i
55.6%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)))
55.6%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
55.6%1n
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes6.0ms (0%)

Memory
14.1MiB live, 14.1MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 i #s(literal -50 binary64))
(*.f64 n #s(literal 100 binary64))
Outputs
(*.f64 n #s(literal 100 binary64))
Calls

4 calls:

1.0ms
i
1.0ms
n
1.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
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)))
Results
AccuracySegmentsBranch
47.7%1n
47.7%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)))
47.7%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
47.7%1i
Compiler

Compiled 38 to 22 computations (42.1% saved)

regimes5.0ms (0%)

Memory
11.5MiB live, 11.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
n
1.0ms
i
1.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
1.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
2.6%1n
2.6%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
2.6%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
2.6%1i
Compiler

Compiled 38 to 22 computations (42.1% saved)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
0.0
9.64609269032231e-230
0.0ms
-inf
-0.055131310401938825
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch128.0ms (0.8%)

Memory
3.5MiB live, 164.1MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
26.0ms
1.379188613127675e-99
1.2155023050655601e-98
46.0ms
6.280322372194754e-213
1.0204579320859947e-202
47.0ms
-2.068857933634122e-206
-4.405560514852408e-210
Samples
53.0ms151×2valid
21.0ms127×1valid
14.0ms241×0invalid
6.0ms99×0valid
5.0ms7×3valid
Compiler

Compiled 602 to 433 computations (28.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-pow: 38.0ms (48.3% of total)
ival-div: 14.0ms (17.8% of total)
adjust: 9.0ms (11.4% of total)
ival-mult: 6.0ms (7.6% of total)
ival-add: 5.0ms (6.4% of total)
ival-sub: 5.0ms (6.4% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch135.0ms (0.9%)

Memory
-26.4MiB live, 89.2MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
25.0ms
1.379188613127675e-99
1.2155023050655601e-98
50.0ms
6.280322372194754e-213
1.0204579320859947e-202
44.0ms
-2.068857933634122e-206
-4.405560514852408e-210
Samples
55.0ms155×2valid
21.0ms132×1valid
14.0ms242×0invalid
5.0ms7×3valid
5.0ms90×0valid
Compiler

Compiled 538 to 393 computations (27% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-pow: 42.0ms (51.5% of total)
ival-div: 14.0ms (17.2% of total)
adjust: 8.0ms (9.8% of total)
ival-mult: 6.0ms (7.4% of total)
ival-add: 5.0ms (6.1% of total)
ival-sub: 5.0ms (6.1% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch82.0ms (0.5%)

Memory
7.5MiB live, 41.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
35.0ms
1.379188613127675e-99
1.2155023050655601e-98
41.0ms
-2.068857933634122e-206
-4.405560514852408e-210
Samples
30.0ms90×2valid
24.0ms93×1valid
9.0ms153×0invalid
2.0ms41×0valid
Compiler

Compiled 258 to 197 computations (23.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-pow: 30.0ms (55.7% of total)
ival-div: 8.0ms (14.9% of total)
adjust: 5.0ms (9.3% of total)
ival-add: 3.0ms (5.6% of total)
ival-sub: 3.0ms (5.6% of total)
ival-mult: 3.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch82.0ms (0.5%)

Memory
-4.5MiB live, 39.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
36.0ms
1.379188613127675e-99
1.2155023050655601e-98
40.0ms
-2.068857933634122e-206
-4.405560514852408e-210
Samples
40.0ms82×2valid
15.0ms91×1valid
8.0ms149×0invalid
3.0ms51×0valid
Compiler

Compiled 258 to 197 computations (23.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-pow: 21.0ms (38.7% of total)
ival-add: 14.0ms (25.8% of total)
ival-div: 8.0ms (14.8% of total)
adjust: 4.0ms (7.4% of total)
ival-sub: 3.0ms (5.5% of total)
ival-mult: 3.0ms (5.5% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch176.0ms (1.2%)

Memory
3.8MiB live, 115.9MiB allocated
Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
49.0ms
5.517313041498214e-16
489.1443131570058
48.0ms
4.407876770415874e-179
9.796024262850969e-169
42.0ms
-2.068857933634122e-206
-4.405560514852408e-210
24.0ms
-6.283987430626586e+26
-1.1232624935799017e+26
Samples
72.0ms174×2valid
40.0ms195×1valid
13.0ms230×0invalid
12.0ms170×0valid
3.0ms5×3valid
Compiler

Compiled 658 to 485 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 116.0ms
ival-pow: 53.0ms (45.9% of total)
adjust: 18.0ms (15.6% of total)
ival-div: 18.0ms (15.6% of total)
ival-mult: 12.0ms (10.4% of total)
ival-sub: 7.0ms (6.1% of total)
ival-add: 6.0ms (5.2% of total)
exact: 1.0ms (0.9% of total)
ival-true: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch154.0ms (1%)

Memory
-11.1MiB live, 78.8MiB allocated
Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
39.0ms
5.517313041498214e-16
489.1443131570058
38.0ms
4.407876770415874e-179
9.796024262850969e-169
46.0ms
-2.068857933634122e-206
-4.405560514852408e-210
18.0ms
-1.804578833824253e+49
-4.5797327198897666e+48
Samples
55.0ms146×2valid
37.0ms203×1valid
12.0ms174×0valid
11.0ms193×0invalid
3.0ms5×3valid
Compiler

Compiled 773 to 546 computations (29.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 97.0ms
ival-pow: 52.0ms (53.6% of total)
ival-div: 16.0ms (16.5% of total)
adjust: 9.0ms (9.3% of total)
ival-mult: 7.0ms (7.2% of total)
ival-add: 6.0ms (6.2% of total)
ival-sub: 6.0ms (6.2% of total)
exact: 1.0ms (1% of total)
ival-true: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)

bsearch75.0ms (0.5%)

Memory
19.0MiB live, 19.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
26.0ms
1.379188613127675e-99
1.2155023050655601e-98
44.0ms
-3.2300748687250217e-152
-1.0621326211220374e-160
Samples
32.0ms94×2valid
17.0ms106×1valid
7.0ms131×0invalid
2.0ms40×0valid
Compiler

Compiled 503 to 363 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-pow: 23.0ms (49.1% of total)
ival-div: 8.0ms (17.1% of total)
adjust: 5.0ms (10.7% of total)
ival-add: 3.0ms (6.4% of total)
ival-sub: 3.0ms (6.4% of total)
ival-mult: 3.0ms (6.4% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch95.0ms (0.6%)

Memory
-15.3MiB live, 23.0MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
29.0ms
1.379188613127675e-99
1.2155023050655601e-98
41.0ms
-2.068857933634122e-206
-4.405560514852408e-210
19.0ms
-1.804578833824253e+49
-4.5797327198897666e+48
Samples
34.0ms99×2valid
28.0ms135×1valid
9.0ms165×0invalid
5.0ms70×0valid
Compiler

Compiled 423 to 309 computations (27% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-pow: 30.0ms (49% of total)
ival-div: 13.0ms (21.2% of total)
adjust: 6.0ms (9.8% of total)
ival-add: 4.0ms (6.5% of total)
ival-sub: 4.0ms (6.5% of total)
ival-mult: 4.0ms (6.5% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch89.0ms (0.6%)

Memory
22.0MiB live, 22.0MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
1.379188613127675e-99
1.2155023050655601e-98
40.0ms
-2.068857933634122e-206
-4.405560514852408e-210
18.0ms
-1.804578833824253e+49
-4.5797327198897666e+48
Samples
32.0ms92×2valid
24.0ms133×1valid
8.0ms141×0invalid
5.0ms79×0valid
Compiler

Compiled 411 to 303 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-pow: 29.0ms (52.1% of total)
ival-div: 10.0ms (18% of total)
adjust: 5.0ms (9% of total)
ival-add: 4.0ms (7.2% of total)
ival-sub: 4.0ms (7.2% of total)
ival-mult: 4.0ms (7.2% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch98.0ms (0.6%)

Memory
-15.8MiB live, 22.6MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
27.0ms
1.379188613127675e-99
1.2155023050655601e-98
47.0ms
-2.068857933634122e-206
-4.405560514852408e-210
18.0ms
-1.804578833824253e+49
-4.5797327198897666e+48
Samples
34.0ms99×2valid
25.0ms117×1valid
8.0ms143×0invalid
7.0ms10×3valid
5.0ms78×0valid
Compiler

Compiled 399 to 297 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-pow: 34.0ms (52.2% of total)
ival-div: 10.0ms (15.4% of total)
ival-mult: 7.0ms (10.7% of total)
adjust: 6.0ms (9.2% of total)
ival-add: 4.0ms (6.1% of total)
ival-sub: 4.0ms (6.1% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch77.0ms (0.5%)

Memory
19.9MiB live, 19.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
24.0ms
1.379188613127675e-99
1.2155023050655601e-98
47.0ms
-3.2300748687250217e-152
-1.0621326211220374e-160
Samples
23.0ms69×2valid
20.0ms126×1valid
9.0ms174×0invalid
5.0ms7×3valid
2.0ms38×0valid
Compiler

Compiled 335 to 255 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-pow: 22.0ms (46.7% of total)
ival-div: 9.0ms (19.1% of total)
adjust: 5.0ms (10.6% of total)
ival-mult: 4.0ms (8.5% of total)
ival-add: 3.0ms (6.4% of total)
ival-sub: 3.0ms (6.4% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch77.0ms (0.5%)

Memory
-29.3MiB live, 18.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
28.0ms
1.379188613127675e-99
1.2155023050655601e-98
43.0ms
-3.2300748687250217e-152
-1.0621326211220374e-160
Samples
28.0ms73×2valid
18.0ms112×1valid
8.0ms136×0invalid
5.0ms7×3valid
3.0ms48×0valid
Compiler

Compiled 314 to 234 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-pow: 23.0ms (46.6% of total)
ival-div: 12.0ms (24.3% of total)
adjust: 5.0ms (10.1% of total)
ival-add: 3.0ms (6.1% of total)
ival-sub: 3.0ms (6.1% of total)
ival-mult: 3.0ms (6.1% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch69.0ms (0.5%)

Memory
18.1MiB live, 18.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
1.379188613127675e-99
1.2155023050655601e-98
42.0ms
-3.2300748687250217e-152
-1.0621326211220374e-160
Samples
24.0ms73×2valid
19.0ms120×1valid
7.0ms130×0invalid
3.0ms47×0valid
Compiler

Compiled 296 to 225 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-pow: 19.0ms (45.4% of total)
ival-div: 8.0ms (19.1% of total)
adjust: 4.0ms (9.6% of total)
ival-add: 3.0ms (7.2% of total)
ival-sub: 3.0ms (7.2% of total)
ival-mult: 3.0ms (7.2% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch75.0ms (0.5%)

Memory
-19.4MiB live, 19.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
27.0ms
1.379188613127675e-99
1.2155023050655601e-98
42.0ms
-3.2300748687250217e-152
-1.0621326211220374e-160
Samples
28.0ms75×2valid
18.0ms111×1valid
9.0ms168×0invalid
3.0ms54×0valid
Compiler

Compiled 290 to 225 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-pow: 20.0ms (46% of total)
ival-div: 8.0ms (18.4% of total)
adjust: 4.0ms (9.2% of total)
ival-add: 3.0ms (6.9% of total)
ival-sub: 3.0ms (6.9% of total)
ival-mult: 3.0ms (6.9% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch75.0ms (0.5%)

Memory
19.0MiB live, 19.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
25.0ms
1.379188613127675e-99
1.2155023050655601e-98
45.0ms
-3.2300748687250217e-152
-1.0621326211220374e-160
Samples
24.0ms71×2valid
18.0ms113×1valid
9.0ms156×0invalid
5.0ms7×3valid
3.0ms49×0valid
Compiler

Compiled 245 to 195 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-pow: 23.0ms (49.5% of total)
ival-div: 8.0ms (17.2% of total)
adjust: 5.0ms (10.8% of total)
ival-mult: 4.0ms (8.6% of total)
ival-add: 3.0ms (6.5% of total)
ival-sub: 3.0ms (6.5% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify24.0ms (0.2%)

Memory
8.5MiB live, 8.5MiB allocated
Algorithm
1×egg-herbie
Rules
86×*-commutative_binary64
26×neg-mul-1_binary64
24×unsub-neg_binary64
24×+-commutative_binary64
16×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0212713
1276713
2289713
3303713
4324713
5354713
6356713
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 -inf.0 binary64)) (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) (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 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i)))) (*.f64 n #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -1792909982104673/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 i (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (/.f64 (expm1.f64 i) i)))) (if (<=.f64 n #s(literal 740298315191607/5922386521532855740161817506647119732883018558947359509044845726112560091729648156474603305162988578607512400425457279991804428268870599332596921062626576000993556884845161077691136496092218188572933193945756793025561702170624 binary64)) (/.f64 #s(literal 0 binary64) i) (if (<=.f64 n #s(literal 7141613623096499/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n))) (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))))))
(if (<=.f64 n #s(literal -8143281467107677/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328 binary64)) (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 1516130949512411/189516368689051383685178160212707831452256593886315504289435063235601922935348741007187305765215634515440396813614632959737741704603859178643101474004050432031793820315045154486116367874950982034333862206264217376817974469459968 binary64)) (/.f64 #s(literal 0 binary64) i) (if (<=.f64 n #s(literal 4432725697094379/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n))) (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))))))
(if (<=.f64 n #s(literal -6506528160863733/1445895146858607358437943727208769466035893202868007692637901788601699241144933631951807447549557758449099707135121406247999127995329736165184795181305316406492567598839150653733187621116264206194563768053163279547256274944 binary64)) (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 3447675542184517/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (/.f64 #s(literal 0 binary64) i) (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -1064178828087935/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552 binary64)) (*.f64 n (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i))) (if (<=.f64 n #s(literal 492525077454931/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272 binary64)) (/.f64 #s(literal 0 binary64) i) (*.f64 n (*.f64 (expm1.f64 i) (/.f64 #s(literal 100 binary64) i)))))
(if (<=.f64 n #s(literal -139999999999999999798673408 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)) (if (<=.f64 n #s(literal -4916043499319265/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) (/.f64 n i))) (if (<=.f64 n #s(literal 2088519569834379/139234637988958594318883410818490335842688858253435056475195084164406590796163250320615014993816265862385324388842602762167013693889631286567769205313788274787963704661873320009853338386432 binary64)) (/.f64 #s(literal 0 binary64) i) (if (<=.f64 n #s(literal 8782019273372467/4503599627370496 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 (/.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 #s(literal 100 binary64) (*.f64 (expm1.f64 i) (/.f64 n i))) (*.f64 n #s(literal 100 binary64)))
(if (<=.f64 n #s(literal -6499999999999999717090510890748510934598273728512 binary64)) (*.f64 #s(literal 100 binary64) (/.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)) i)) (if (<=.f64 n #s(literal -6662684836724463/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n))) (if (<=.f64 n #s(literal 1893591076649837/139234637988958594318883410818490335842688858253435056475195084164406590796163250320615014993816265862385324388842602762167013693889631286567769205313788274787963704661873320009853338386432 binary64)) (/.f64 #s(literal 0 binary64) i) (if (<=.f64 n #s(literal 7656119366529843/4503599627370496 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n))) (*.f64 #s(literal 100 binary64) (/.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)) i))))))
(if (<=.f64 n #s(literal -4173700524858639/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848 binary64)) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 i (+.f64 (fma.f64 i #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 i #s(literal -1/2 binary64) #s(literal -1/2 binary64)) n)) #s(literal 1 binary64)))) (if (<=.f64 n #s(literal 3447675542184517/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 i n))) (fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i (*.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64))))))))
(if (<=.f64 n #s(literal -4600000000000000039431601178137144439738608910336 binary64)) (*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (if (<=.f64 n #s(literal -2868655971367477/92537289398950870940028398541361245826297164983552492328825714470508751433275752444915676643171696540742381256647769999871944191701103114571826891603540250015524326325705641838924007751440909196452081155402449891024401596416 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n))) (if (<=.f64 n #s(literal 3447675542184517/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (/.f64 #s(literal 0 binary64) i) (fma.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)) (*.f64 i (*.f64 i (*.f64 n (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)))))))))
(if (<=.f64 n #s(literal -4600000000000000039431601178137144439738608910336 binary64)) (*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (if (<=.f64 n #s(literal -3354476740711969/23134322349737717735007099635340311456574291245888123082206428617627187858318938111228919160792924135185595314161942499967986047925275778642956722900885062503881081581426410459731001937860227299113020288850612472756100399104 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n))) (if (<=.f64 n #s(literal 492525077454931/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272 binary64)) (/.f64 #s(literal 0 binary64) i) (*.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)))))
(if (<=.f64 n #s(literal -4600000000000000039431601178137144439738608910336 binary64)) (*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (if (<=.f64 n #s(literal -8143281467107677/370149157595803483760113594165444983305188659934209969315302857882035005733103009779662706572686786162969525026591079999487776766804412458287307566414161000062097305302822567355696031005763636785808324621609799564097606385664 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 i (/.f64 i n))) (if (<=.f64 n #s(literal 3447675542184517/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (/.f64 #s(literal 0 binary64) i) (*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))))))
(if (<=.f64 n #s(literal -4434405849165311/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 2462625387274655/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544 binary64)) (/.f64 #s(literal 0 binary64) i) (*.f64 n (fma.f64 i (fma.f64 i (fma.f64 i #s(literal 25/6 binary64) #s(literal 50/3 binary64)) #s(literal 50 binary64)) #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -5217125656073299/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712 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 3447675542184517/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (/.f64 #s(literal 0 binary64) i) (*.f64 n (fma.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i)) #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -2656869547074365/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232 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 1169747058955461/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544 binary64)) (/.f64 #s(literal 0 binary64) i) (*.f64 n (fma.f64 #s(literal 25/6 binary64) (*.f64 i (*.f64 i i)) #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -6279873474903045/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 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 2154797213865323/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) (/.f64 #s(literal 0 binary64) i) (*.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 -4550879387105123/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176 binary64)) (*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 3447675542184517/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (/.f64 #s(literal 0 binary64) i) (*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(*.f64 n #s(literal 100 binary64))
(*.f64 i #s(literal -50 binary64))
Outputs
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) (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 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (/.f64 n (neg.f64 i)))) (*.f64 n #s(literal 100 binary64)))))
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal -1 binary64)) (/.f64 i n)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 100 binary64) #s(literal -100 binary64)) (/.f64 n i)) (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 #s(literal 100 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) i) (neg.f64 (/.f64 n i)))) (*.f64 n #s(literal 100 binary64)))))
(if (<=.f64 n #s(literal -1792909982104673/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 i (*.f64 (/.f64 (exp.f64 i) n) #s(literal -1/2 binary64)) (/.f64 (expm1.f64 i) i)))) (if (<=.f64 n #s(literal 740298315191607/5922386521532855740161817506647119732883018558947359509044845726112560091729648156474603305162988578607512400425457279991804428268870599332596921062626576000993556884845161077691136496092218188572933193945756793025561702170624 binary64)) (/.f64 #s(literal 0 binary64) i) (if (<=.f64 n #s(literal 7141613623096499/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i n))) (*.f64 n (*.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64))))))
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(if (<=.f64 n #s(literal -4550879387105123/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176 binary64)) (*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64))) (if (<=.f64 n #s(literal 3447675542184517/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (/.f64 #s(literal 0 binary64) i) (*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))))
(*.f64 n (fma.f64 i #s(literal 50 binary64) #s(literal 100 binary64)))
(*.f64 n #s(literal 100 binary64))
(*.f64 i #s(literal -50 binary64))

soundness1.4s (9.5%)

Memory
-6.5MiB live, 72.4MiB allocated
Rules
11 880×accelerator-lowering-fma.f32
11 880×accelerator-lowering-fma.f64
11 188×accelerator-lowering-fma.f32
11 188×accelerator-lowering-fma.f64
10 538×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08257598
125987096
083326489
040207
1232207
21756199
08454179
045234
1287232
22902216
08096204
05153831
116243489
255233268
081372980
01044
16744
256444
3734544
0866038
0135312355
1440511783
0819910926
08877437
127986988
084956482
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 1 782 to 920 computations (48.4% saved)

preprocess130.0ms (0.8%)

Memory
14.4MiB live, 94.9MiB allocated
Compiler

Compiled 1 624 to 480 computations (70.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...