Migdal et al, Equation (51)

Time bar (total: 12.1s)

analyze111.0ms (0.9%)

Memory
-6.8MiB live, 250.0MiB 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%50%0.1%0%50%0%2
50%25%25%0.1%0%50%0%3
50%25%25%0.1%0%50%0%4
50%25%25%0.1%0%50%0%5
50%25%25%0.1%0%50%0%6
51.6%25%23.4%0.1%0%51.5%0%7
52.5%25%22.6%0.1%0%52.3%0%8
53.8%25%21.5%0.1%0%53.5%0%9
54.5%25%20.9%0.1%0%54%0%10
55.3%25%20.2%0.1%0%54.7%0%11
55.7%25%19.9%0.1%0%55.1%0%12
Compiler

Compiled 18 to 15 computations (16.7% saved)

sample3.8s (31.3%)

Memory
60.4MiB live, 4 435.9MiB allocated
Samples
1.4s8 256×0valid
958.0ms3 520×1invalid
564.0ms1 830×1exit
119.0ms448×2invalid
50.0ms475×0invalid
29.0ms247×0exit
Precisions
Click to see histograms. Total time spent on operations: 2.1s
ival-pow: 769.0ms (36.5% of total)
ival-mult: 457.0ms (21.7% of total)
ival-div: 330.0ms (15.6% of total)
ival-sqrt: 146.0ms (6.9% of total)
ival-sub: 134.0ms (6.4% of total)
adjust: 132.0ms (6.3% of total)
ival-pi: 108.0ms (5.1% of total)
exact: 15.0ms (0.7% of total)
ival-true: 12.0ms (0.6% of total)
ival-assert: 6.0ms (0.3% of total)
Bogosity

preprocess52.0ms (0.4%)

Memory
24.5MiB live, 64.2MiB allocated
Algorithm
1×egg-herbie
Rules
232×associate-*r*
160×sub-neg
160×associate-*l*
138×distribute-lft-neg-in
118×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03188
18274
219374
338374
460774
587874
6104774
7123074
8128574
9130974
10132774
11133174
12133174
01316
02216
13714
25414
37514
49314
510814
612914
715614
816514
916814
016813
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))

explain156.0ms (1.3%)

Memory
-13.4MiB live, 383.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-256(2.3427312258833583e-113 6.943062807242779e-119)(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
2560-256(2.3427312258833583e-113 6.943062807242779e-119)(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)
2560-256(2.3427312258833583e-113 6.943062807242779e-119)(/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))
2560-256(2.3427312258833583e-113 6.943062807242779e-119)(-.f64 #s(literal 1 binary64) k)
2560-256(2.3427312258833583e-113 6.943062807242779e-119)(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
2560-163(1.8115110970037556e-210 2.1203453216610055e-55)(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))
2560-256(2.3427312258833583e-113 6.943062807242779e-119)(PI.f64)
00-0-k
00-0-n
00-0-#s(literal 1 binary64)
00-0-(sqrt.f64 k)
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) (PI.f64))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
pow.f64(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))sensitivity9323
Confusion
Predicted +Predicted -
+50
-88163
Precision
0.053763440860215055
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+500
-8823140
Precision?
0.04310344827586207
Recall?
1.0
Freqs
test
numberfreq
0163
193
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
57.0ms512×0valid
Compiler

Compiled 204 to 69 computations (66.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-pow: 11.0ms (29.7% of total)
ival-mult: 8.0ms (21.6% of total)
ival-div: 7.0ms (18.9% of total)
ival-sub: 4.0ms (10.8% of total)
ival-sqrt: 4.0ms (10.8% of total)
ival-pi: 2.0ms (5.4% of total)
exact: 1.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify9.0ms (0.1%)

Memory
20.9MiB live, 20.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 k)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
✓cost-diff512
(/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))
Rules
64×lower-*.f32
58×lower-*.f64
48×lower-+.f64
48×lower-+.f32
36×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01354
02254
13752
25452
37552
49352
510852
612952
715652
816552
916852
016849
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
#s(literal 1 binary64)
(sqrt.f64 k)
k
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(PI.f64)
n
(/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) k)
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
#s(literal 1 binary64)
(sqrt.f64 k)
k
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(PI.f64)
n
(/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))
(fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) k)

localize42.0ms (0.3%)

Memory
-6.6MiB live, 70.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy4.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
✓accuracy3.9%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
✓accuracy3.9%
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))
✓accuracy3.0%
(/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))
Samples
28.0ms256×0valid
Compiler

Compiled 112 to 28 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-pow: 7.0ms (36.7% of total)
ival-mult: 4.0ms (20.9% of total)
ival-div: 3.0ms (15.7% of total)
ival-sqrt: 2.0ms (10.5% of total)
ival-pi: 1.0ms (5.2% of total)
ival-sub: 1.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory
-23.4MiB live, 51.5MiB allocated
Counts
5 → 84
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 k))>
#<alt (sqrt.f64 k)>
#<alt (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/2 k))>
#<alt (+ 1/2 (* -1/2 k))>
#<alt (+ 1/2 (* -1/2 k))>
#<alt (* -1/2 k)>
#<alt (* k (- (* 1/2 (/ 1 k)) 1/2))>
#<alt (* k (- (* 1/2 (/ 1 k)) 1/2))>
#<alt (* k (- (* 1/2 (/ 1 k)) 1/2))>
#<alt (* -1/2 k)>
#<alt (* -1 (* k (- 1/2 (* 1/2 (/ 1 k)))))>
#<alt (* -1 (* k (- 1/2 (* 1/2 (/ 1 k)))))>
#<alt (* -1 (* k (- 1/2 (* 1/2 (/ 1 k)))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt k)>
#<alt (sqrt k)>
#<alt (sqrt k)>
#<alt (sqrt k)>
#<alt (sqrt k)>
#<alt (sqrt k)>
#<alt (sqrt k)>
#<alt (sqrt k)>
#<alt (* -1 (* (sqrt k) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt k) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt k) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt k) (pow (sqrt -1) 2)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 1024 (* (pow n 10) (pow (PI) 10)))>
#<alt (* 1024 (* (pow n 10) (pow (PI) 10)))>
#<alt (* 1024 (* (pow n 10) (pow (PI) 10)))>
#<alt (* 1024 (* (pow n 10) (pow (PI) 10)))>
#<alt (* 1024 (* (pow n 10) (pow (PI) 10)))>
#<alt (* 1024 (* (pow n 10) (pow (PI) 10)))>
#<alt (* 1024 (* (pow n 10) (pow (PI) 10)))>
#<alt (* 1024 (* (pow n 10) (pow (PI) 10)))>
Calls

21 calls:

TimeVariablePointExpression
13.0ms
k
@-inf
(* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)))
4.0ms
n
@0
(* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)))
3.0ms
k
@0
(* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)))
2.0ms
n
@-inf
(* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)))
1.0ms
n
@inf
(* (/ 1 (sqrt k)) (pow (* (* 2 (PI)) n) (/ (- 1 k) 2)))
Compiler

Compiled 247 to 198 computations (19.8% saved)

rewrite280.0ms (2.3%)

Memory
5.4MiB live, 478.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 378×lower-*.f32
4 372×lower-*.f64
3 286×lower-pow.f32
3 284×lower-pow.f64
2 442×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01338
02238
18935
249733
3447433
0859932
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 387
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
(sqrt.f64 k)
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 k #s(literal -1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 k)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 k #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 k #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64)))
(+.f64 (*.f64 k #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 k)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 k #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))
(-.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 k #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 k k (+.f64 #s(literal 1 binary64) k))) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 k (*.f64 k k)) (fma.f64 k k (+.f64 #s(literal 1 binary64) k))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) k)) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 k k) (+.f64 #s(literal 1 binary64) k)) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 k k k) #s(literal 2 binary64))) (/.f64 (*.f64 k (*.f64 k k)) (fma.f64 #s(literal 2 binary64) (fma.f64 k k k) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 k #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (*.f64 k k) (fma.f64 k #s(literal 2 binary64) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 k #s(literal 1/2 binary64)) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 (*.f64 k (*.f64 k k)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 k #s(literal 1/2 binary64)) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 k (*.f64 k #s(literal 1/4 binary64))) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 k #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 k #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64)))
(fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64)))
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(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (+.f64 #s(literal 1 binary64) k))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n))) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/8 binary64))) #s(literal 4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k (*.f64 k k) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 k k (+.f64 #s(literal 1 binary64) k))) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal 1 binary64) (*.f64 k k))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) k)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 k #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))
(pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 n (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (pow.f64 n (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 n (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 #s(literal 1 binary64) (*.f64 k #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 #s(literal 1/2 binary64) (neg.f64 k))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (*.f64 k #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n))) (neg.f64 (*.f64 k #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (PI.f64) n) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (*.f64 (PI.f64) n) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) n) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (*.f64 (PI.f64) n) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (pow.f64 n (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (*.f64 (pow.f64 n (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 n (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (*.f64 (pow.f64 n (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 n (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 (PI.f64) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) n) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (PI.f64) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (pow.f64 #s(literal 2 binary64) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 n (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) n) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (PI.f64) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 n (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (PI.f64) n) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 n (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64)))) (pow.f64 n (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 n (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (pow.f64 (PI.f64) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (pow.f64 n (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64)))) (pow.f64 (*.f64 (PI.f64) n) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64)))) (pow.f64 n (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (pow.f64 n (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/8 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (neg.f64 k)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (/.f64 #s(literal 1 binary64) (fma.f64 k k (+.f64 #s(literal 1 binary64) k)))) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (neg.f64 (/.f64 (*.f64 k (*.f64 k k)) (fma.f64 k k (+.f64 #s(literal 1 binary64) k))))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) k))) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (neg.f64 (/.f64 (*.f64 k k) (+.f64 #s(literal 1 binary64) k)))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 #s(literal 1/2 binary64) (neg.f64 k))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (neg.f64 k)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (log.f64 (PI.f64))) (pow.f64 (exp.f64 (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) n))))
(*.f64 (pow.f64 (exp.f64 (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) n))) (pow.f64 (exp.f64 (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (log.f64 (PI.f64))))
(*.f64 (pow.f64 (exp.f64 (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))) (pow.f64 (exp.f64 (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (log.f64 (*.f64 (PI.f64) n))))
(*.f64 (pow.f64 (exp.f64 (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (log.f64 (*.f64 (PI.f64) n))) (pow.f64 (exp.f64 (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (pow.f64 (exp.f64 (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (log.f64 n)))
(*.f64 (pow.f64 (exp.f64 (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (log.f64 n)) (pow.f64 (exp.f64 (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))

simplify51.0ms (0.4%)

Memory
-22.7MiB live, 54.7MiB allocated
Algorithm
1×egg-herbie
Rules
468×lower-*.f64
468×lower-*.f32
416×lower-fma.f64
416×lower-fma.f32
238×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042676
182676
2179676
3362676
4675676
5900676
61084676
71147676
81167676
91169676
01169667
Stop Event
1×iter limit
1×saturated
Counts
84 → 84
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/2 k))
(+ 1/2 (* -1/2 k))
(+ 1/2 (* -1/2 k))
(* -1/2 k)
(* k (- (* 1/2 (/ 1 k)) 1/2))
(* k (- (* 1/2 (/ 1 k)) 1/2))
(* k (- (* 1/2 (/ 1 k)) 1/2))
(* -1/2 k)
(* -1 (* k (- 1/2 (* 1/2 (/ 1 k)))))
(* -1 (* k (- 1/2 (* 1/2 (/ 1 k)))))
(* -1 (* k (- 1/2 (* 1/2 (/ 1 k)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt k)
(sqrt k)
(sqrt k)
(sqrt k)
(sqrt k)
(sqrt k)
(sqrt k)
(sqrt k)
(* -1 (* (sqrt k) (pow (sqrt -1) 2)))
(* -1 (* (sqrt k) (pow (sqrt -1) 2)))
(* -1 (* (sqrt k) (pow (sqrt -1) 2)))
(* -1 (* (sqrt k) (pow (sqrt -1) 2)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(* 1024 (* (pow n 10) (pow (PI) 10)))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/2 k))
(fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 k))
(fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 k))
(fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))
(* -1/2 k)
(*.f64 #s(literal -1/2 binary64) k)
(* k (- (* 1/2 (/ 1 k)) 1/2))
(fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))
(* k (- (* 1/2 (/ 1 k)) 1/2))
(fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))
(* k (- (* 1/2 (/ 1 k)) 1/2))
(fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))
(* -1/2 k)
(*.f64 #s(literal -1/2 binary64) k)
(* -1 (* k (- 1/2 (* 1/2 (/ 1 k)))))
(fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))
(* -1 (* k (- 1/2 (* 1/2 (/ 1 k)))))
(fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))
(* -1 (* k (- 1/2 (* 1/2 (/ 1 k)))))
(fma.f64 #s(literal -1/2 binary64) k #s(literal 1/2 binary64))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 #s(literal 2048 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 #s(literal 2048 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 #s(literal 2048 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 #s(literal 2048 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 #s(literal 2048 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 #s(literal 2048 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 #s(literal 2048 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 #s(literal 2048 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 #s(literal 2048 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 #s(literal 2048 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 #s(literal 2048 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 #s(literal 2048 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 #s(literal 2048 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 #s(literal 2048 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 #s(literal 2048 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 #s(literal 2048 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 #s(literal 2048 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 #s(literal 2048 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 #s(literal 2048 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 #s(literal 2048 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 #s(literal 2048 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 #s(literal 2048 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 #s(literal 2048 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 #s(literal 2048 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 n #s(literal 11 binary64)))))
(sqrt (/ 1 k))
(sqrt.f64 (/.f64 #s(literal 1 binary64) k))
(sqrt (/ 1 k))
(sqrt.f64 (/.f64 #s(literal 1 binary64) k))
(sqrt (/ 1 k))
(sqrt.f64 (/.f64 #s(literal 1 binary64) k))
(sqrt (/ 1 k))
(sqrt.f64 (/.f64 #s(literal 1 binary64) k))
(sqrt (/ 1 k))
(sqrt.f64 (/.f64 #s(literal 1 binary64) k))
(sqrt (/ 1 k))
(sqrt.f64 (/.f64 #s(literal 1 binary64) k))
(sqrt (/ 1 k))
(sqrt.f64 (/.f64 #s(literal 1 binary64) k))
(sqrt (/ 1 k))
(sqrt.f64 (/.f64 #s(literal 1 binary64) k))
(sqrt (/ 1 k))
(sqrt.f64 (/.f64 #s(literal 1 binary64) k))
(sqrt (/ 1 k))
(sqrt.f64 (/.f64 #s(literal 1 binary64) k))
(sqrt (/ 1 k))
(sqrt.f64 (/.f64 #s(literal 1 binary64) k))
(sqrt (/ 1 k))
(sqrt.f64 (/.f64 #s(literal 1 binary64) k))
(sqrt k)
(sqrt.f64 k)
(sqrt k)
(sqrt.f64 k)
(sqrt k)
(sqrt.f64 k)
(sqrt k)
(sqrt.f64 k)
(sqrt k)
(sqrt.f64 k)
(sqrt k)
(sqrt.f64 k)
(sqrt k)
(sqrt.f64 k)
(sqrt k)
(sqrt.f64 k)
(* -1 (* (sqrt k) (pow (sqrt -1) 2)))
(sqrt.f64 k)
(* -1 (* (sqrt k) (pow (sqrt -1) 2)))
(sqrt.f64 k)
(* -1 (* (sqrt k) (pow (sqrt -1) 2)))
(sqrt.f64 k)
(* -1 (* (sqrt k) (pow (sqrt -1) 2)))
(sqrt.f64 k)
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(*.f64 (pow.f64 n #s(literal 10 binary64)) (*.f64 #s(literal 1024 binary64) (pow.f64 (PI.f64) #s(literal 10 binary64))))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(*.f64 (pow.f64 n #s(literal 10 binary64)) (*.f64 #s(literal 1024 binary64) (pow.f64 (PI.f64) #s(literal 10 binary64))))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(*.f64 (pow.f64 n #s(literal 10 binary64)) (*.f64 #s(literal 1024 binary64) (pow.f64 (PI.f64) #s(literal 10 binary64))))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(*.f64 (pow.f64 n #s(literal 10 binary64)) (*.f64 #s(literal 1024 binary64) (pow.f64 (PI.f64) #s(literal 10 binary64))))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(*.f64 (pow.f64 n #s(literal 10 binary64)) (*.f64 #s(literal 1024 binary64) (pow.f64 (PI.f64) #s(literal 10 binary64))))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(*.f64 (pow.f64 n #s(literal 10 binary64)) (*.f64 #s(literal 1024 binary64) (pow.f64 (PI.f64) #s(literal 10 binary64))))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(*.f64 (pow.f64 n #s(literal 10 binary64)) (*.f64 #s(literal 1024 binary64) (pow.f64 (PI.f64) #s(literal 10 binary64))))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(*.f64 (pow.f64 n #s(literal 10 binary64)) (*.f64 #s(literal 1024 binary64) (pow.f64 (PI.f64) #s(literal 10 binary64))))

eval62.0ms (0.5%)

Memory
19.7MiB live, 144.8MiB allocated
Compiler

Compiled 10 213 to 1 363 computations (86.7% saved)

prune66.0ms (0.5%)

Memory
3.2MiB live, 163.7MiB allocated
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New45318471
Fresh000
Picked101
Done000
Total45418472
Accuracy
100.0%
Counts
472 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.6%
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
99.7%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64))))
▶99.7%
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64)))))
▶99.5%
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))))
45.9%
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (pow.f64 n (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))
▶99.5%
(*.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
46.1%
(*.f64 (pow.f64 #s(literal 2 binary64) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (*.f64 (PI.f64) n) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))
46.4%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
46.2%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/8 binary64))) #s(literal 4 binary64)))
99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
55.6%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (*.f64 #s(literal -1/2 binary64) k)))
▶47.1%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(literal 1/2 binary64)))
23.1%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n))) (/.f64 (+.f64 #s(literal 1 binary64) k) #s(literal -4 binary64)))))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (+.f64 k #s(literal -1 binary64)))))
99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))))
▶99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))))
99.5%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
Compiler

Compiled 700 to 500 computations (28.6% saved)

simplify22.0ms (0.2%)

Memory
-26.7MiB live, 52.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))
✓cost-diff0
(pow.f64 k #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
✓cost-diff512
(/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))
✓cost-diff0
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))
✓cost-diff0
(sqrt.f64 k)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))))
✓cost-diff0
(sqrt.f64 k)
✓cost-diff0
(*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))))
✓cost-diff128
(-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))
✓cost-diff0
(sqrt.f64 k)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(literal 1/2 binary64)))
✓cost-diff5824
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 (PI.f64) n)
✓cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))
✓cost-diff0
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64)))))
Rules
232×lower-*.f32
208×lower-*.f64
144×lower-fma.f64
144×lower-fma.f32
64×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033294
060292
1101288
2141288
3198288
4250288
5337288
6418288
7449288
8453288
0453281
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
#s(literal 2 binary64)
(*.f64 (PI.f64) n)
(PI.f64)
n
(*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64))))
(sqrt.f64 k)
k
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64)))
(*.f64 k #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
#s(literal 1 binary64)
(sqrt.f64 k)
k
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(PI.f64)
n
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))))
(sqrt.f64 k)
k
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
#s(literal 2 binary64)
(*.f64 (PI.f64) n)
(PI.f64)
n
(-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 k #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
#s(literal 1 binary64)
(sqrt.f64 k)
k
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
#s(literal 2 binary64)
(*.f64 (PI.f64) n)
(PI.f64)
n
(*.f64 k #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))
(*.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(pow.f64 k #s(literal -1/2 binary64))
k
#s(literal -1/2 binary64)
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(PI.f64)
n
(/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) k)
#s(literal 1 binary64)
Outputs
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal 1/2 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n))
#s(literal 2 binary64)
(*.f64 (PI.f64) n)
(PI.f64)
n
(*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal 1/2 binary64))))
(sqrt.f64 k)
k
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal 1/2 binary64)))
(*.f64 k #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n))) (sqrt.f64 k))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
#s(literal 1 binary64)
(sqrt.f64 k)
k
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n))
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(PI.f64)
n
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(sqrt.f64 k)
k
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))
(pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n))
#s(literal 2 binary64)
(*.f64 (PI.f64) n)
(PI.f64)
n
(-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))
(fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 k #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n))) (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 k))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
#s(literal 1 binary64)
(sqrt.f64 k)
k
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n))) (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal -1/2 binary64))))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal -1/2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n))
#s(literal 2 binary64)
(*.f64 (PI.f64) n)
(PI.f64)
n
(*.f64 k #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)))
(*.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(*.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(pow.f64 k #s(literal -1/2 binary64))
k
#s(literal -1/2 binary64)
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))
(pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n))
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(PI.f64)
n
(/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))
(fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) k)
#s(literal 1 binary64)

localize173.0ms (1.4%)

Memory
11.3MiB live, 288.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy30.3%
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))
✓accuracy29.8%
(/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))
✓accuracy29.4%
(-.f64 #s(literal 1 binary64) k)
✓accuracy15.5%
(PI.f64)
✓accuracy30.3%
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
✓accuracy29.5%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))))
✓accuracy27.9%
(*.f64 k #s(literal -1/2 binary64))
✓accuracy15.5%
(PI.f64)
✓accuracy30.0%
(*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))))
✓accuracy28.7%
(-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))
✓accuracy27.9%
(*.f64 k #s(literal -1/2 binary64))
✓accuracy15.5%
(PI.f64)
✓accuracy31.8%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(literal 1/2 binary64)))
✓accuracy30.9%
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(literal 1/2 binary64))
✓accuracy30.7%
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)
✓accuracy15.5%
(PI.f64)
✓accuracy31.4%
(*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64))))
✓accuracy30.6%
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64)))))
✓accuracy30.3%
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
✓accuracy15.5%
(PI.f64)
Samples
55.0ms188×0valid
22.0ms68×0exit
Compiler

Compiled 592 to 68 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-pow: 21.0ms (39.9% of total)
ival-mult: 16.0ms (30.4% of total)
ival-div: 6.0ms (11.4% of total)
ival-sqrt: 5.0ms (9.5% of total)
ival-sub: 3.0ms (5.7% of total)
ival-pi: 1.0ms (1.9% of total)
exact: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series109.0ms (0.9%)

Memory
-15.2MiB live, 229.1MiB allocated
Counts
22 → 360
Calls
Call 1
Inputs
#<alt (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64)))))>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))>
#<alt (*.f64 (PI.f64) n)>
#<alt (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(literal 1/2 binary64))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(literal 1/2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 k))>
#<alt (sqrt.f64 k)>
#<alt (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))))>
#<alt (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))>
#<alt (pow.f64 k #s(literal -1/2 binary64))>
#<alt (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))>
#<alt (PI.f64)>
#<alt (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64))))>
#<alt (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)>
#<alt (*.f64 k #s(literal -1/2 binary64))>
#<alt (-.f64 #s(literal 1 binary64) k)>
Outputs
#<alt (* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))>
#<alt (* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))>
#<alt (* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))>
#<alt (* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))>
#<alt (* 1/2048 (* (sqrt (/ 1 (* k (* (pow n 21) (pow (PI) 21))))) (sqrt 2)))>
#<alt (* 1/2048 (* (sqrt (/ 1 (* k (* (pow n 21) (pow (PI) 21))))) (sqrt 2)))>
#<alt (* 1/2048 (* (sqrt (/ 1 (* k (* (pow n 21) (pow (PI) 21))))) (sqrt 2)))>
#<alt (* 1/2048 (* (sqrt (/ 1 (* k (* (pow n 21) (pow (PI) 21))))) (sqrt 2)))>
#<alt (* -1/2048 (* (sqrt (/ 1 (* k (* (pow n 21) (pow (PI) 21))))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1/2048 (* (sqrt (/ 1 (* k (* (pow n 21) (pow (PI) 21))))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1/2048 (* (sqrt (/ 1 (* k (* (pow n 21) (pow (PI) 21))))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1/2048 (* (sqrt (/ 1 (* k (* (pow n 21) (pow (PI) 21))))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))>
#<alt (* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))>
#<alt (* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))>
#<alt (* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))>
#<alt (* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))>
#<alt (* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))>
#<alt (* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))>
#<alt (* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))>
#<alt (* 1/4096 (* (sqrt (/ 1 (* k (* (pow n 23) (pow (PI) 23))))) (sqrt 2)))>
#<alt (* 1/4096 (* (sqrt (/ 1 (* k (* (pow n 23) (pow (PI) 23))))) (sqrt 2)))>
#<alt (* 1/4096 (* (sqrt (/ 1 (* k (* (pow n 23) (pow (PI) 23))))) (sqrt 2)))>
#<alt (* 1/4096 (* (sqrt (/ 1 (* k (* (pow n 23) (pow (PI) 23))))) (sqrt 2)))>
#<alt (* (sqrt (* n (PI))) (sqrt 2))>
#<alt (* (sqrt (* n (PI))) (sqrt 2))>
#<alt (* (sqrt (* n (PI))) (sqrt 2))>
#<alt (* (sqrt (* n (PI))) (sqrt 2))>
#<alt (* (sqrt n) (sqrt 2))>
#<alt (* (sqrt n) (sqrt 2))>
#<alt (* (sqrt n) (sqrt 2))>
#<alt (* (sqrt n) (sqrt 2))>
#<alt (* -1 (* (sqrt n) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt n) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt n) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt n) (* (sqrt -2) (sqrt -1))))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* n (PI))>
#<alt (* n (PI))>
#<alt (* n (PI))>
#<alt (* n (PI))>
#<alt n>
#<alt n>
#<alt n>
#<alt n>
#<alt (* n (PI))>
#<alt (* n (PI))>
#<alt (* n (PI))>
#<alt (* n (PI))>
#<alt (* (sqrt (* n (PI))) (sqrt 2))>
#<alt (* (sqrt (* n (PI))) (sqrt 2))>
#<alt (* (sqrt (* n (PI))) (sqrt 2))>
#<alt (* (sqrt (* n (PI))) (sqrt 2))>
#<alt (* (sqrt (* n (PI))) (sqrt 2))>
#<alt (* (sqrt (* n (PI))) (sqrt 2))>
#<alt (* (sqrt (* n (PI))) (sqrt 2))>
#<alt (* (sqrt (* n (PI))) (sqrt 2))>
#<alt (* -1 (* (sqrt (* n (PI))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* n (PI))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* n (PI))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* n (PI))) (* (sqrt -2) (sqrt -1))))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt k)>
#<alt (sqrt k)>
#<alt (sqrt k)>
#<alt (sqrt k)>
#<alt (sqrt k)>
#<alt (sqrt k)>
#<alt (sqrt k)>
#<alt (sqrt k)>
#<alt (* -1 (* (sqrt k) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt k) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt k) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt k) (pow (sqrt -1) 2)))>
#<alt -1/2>
#<alt (- (* 1/2 k) 1/2)>
#<alt (- (* 1/2 k) 1/2)>
#<alt (- (* 1/2 k) 1/2)>
#<alt (* 1/2 k)>
#<alt (* k (- 1/2 (* 1/2 (/ 1 k))))>
#<alt (* k (- 1/2 (* 1/2 (/ 1 k))))>
#<alt (* k (- 1/2 (* 1/2 (/ 1 k))))>
#<alt (* 1/2 k)>
#<alt (* -1 (* k (- (* 1/2 (/ 1 k)) 1/2)))>
#<alt (* -1 (* k (- (* 1/2 (/ 1 k)) 1/2)))>
#<alt (* -1 (* k (- (* 1/2 (/ 1 k)) 1/2)))>
#<alt (* 1/8192 (* (sqrt (/ 1 k)) (/ 1 (* (pow n 13) (pow (PI) 13)))))>
#<alt (* 1/8192 (* (sqrt (/ 1 k)) (/ 1 (* (pow n 13) (pow (PI) 13)))))>
#<alt (* 1/8192 (* (sqrt (/ 1 k)) (/ 1 (* (pow n 13) (pow (PI) 13)))))>
#<alt (* 1/8192 (* (sqrt (/ 1 k)) (/ 1 (* (pow n 13) (pow (PI) 13)))))>
#<alt (* 1/2048 (* (sqrt (/ 1 k)) (/ 1 (* (pow n 11) (pow (PI) 11)))))>
#<alt (* 1/2048 (* (sqrt (/ 1 k)) (/ 1 (* (pow n 11) (pow (PI) 11)))))>
#<alt (* 1/2048 (* (sqrt (/ 1 k)) (/ 1 (* (pow n 11) (pow (PI) 11)))))>
#<alt (* 1/2048 (* (sqrt (/ 1 k)) (/ 1 (* (pow n 11) (pow (PI) 11)))))>
#<alt (* 1/16384 (* (sqrt (/ 1 k)) (/ 1 (* (pow n 14) (pow (PI) 14)))))>
#<alt (* 1/16384 (* (sqrt (/ 1 k)) (/ 1 (* (pow n 14) (pow (PI) 14)))))>
#<alt (* 1/16384 (* (sqrt (/ 1 k)) (/ 1 (* (pow n 14) (pow (PI) 14)))))>
#<alt (* 1/16384 (* (sqrt (/ 1 k)) (/ 1 (* (pow n 14) (pow (PI) 14)))))>
#<alt (* 1/8192 (* (sqrt (/ 1 k)) (/ 1 (* (pow n 13) (pow (PI) 13)))))>
#<alt (* 1/8192 (* (sqrt (/ 1 k)) (/ 1 (* (pow n 13) (pow (PI) 13)))))>
#<alt (* 1/8192 (* (sqrt (/ 1 k)) (/ 1 (* (pow n 13) (pow (PI) 13)))))>
#<alt (* 1/8192 (* (sqrt (/ 1 k)) (/ 1 (* (pow n 13) (pow (PI) 13)))))>
#<alt (* 1/8192 (* (sqrt (/ 1 k)) (/ 1 (* (pow n 13) (pow (PI) 13)))))>
#<alt (* 1/8192 (* (sqrt (/ 1 k)) (/ 1 (* (pow n 13) (pow (PI) 13)))))>
#<alt (* 1/8192 (* (sqrt (/ 1 k)) (/ 1 (* (pow n 13) (pow (PI) 13)))))>
#<alt (* 1/8192 (* (sqrt (/ 1 k)) (/ 1 (* (pow n 13) (pow (PI) 13)))))>
#<alt (* 1/8192 (* (sqrt (/ 1 k)) (/ 1 (* (pow n 13) (pow (PI) 13)))))>
#<alt (* 1/8192 (* (sqrt (/ 1 k)) (/ 1 (* (pow n 13) (pow (PI) 13)))))>
#<alt (* 1/8192 (* (sqrt (/ 1 k)) (/ 1 (* (pow n 13) (pow (PI) 13)))))>
#<alt (* 1/8192 (* (sqrt (/ 1 k)) (/ 1 (* (pow n 13) (pow (PI) 13)))))>
#<alt (* 2048 (* (sqrt k) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt k) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt k) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt k) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt k) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt k) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt k) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt k) (* (pow n 11) (pow (PI) 11))))>
#<alt (* -16384 (* (sqrt k) (* (pow n 14) (* (pow (PI) 14) (pow (sqrt -1) 2)))))>
#<alt (* -16384 (* (sqrt k) (* (pow n 14) (* (pow (PI) 14) (pow (sqrt -1) 2)))))>
#<alt (* -16384 (* (sqrt k) (* (pow n 14) (* (pow (PI) 14) (pow (sqrt -1) 2)))))>
#<alt (* -16384 (* (sqrt k) (* (pow n 14) (* (pow (PI) 14) (pow (sqrt -1) 2)))))>
#<alt (* 2048 (* (sqrt k) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt k) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt k) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt k) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt k) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt k) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt k) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt k) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt k) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt k) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt k) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt k) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))>
#<alt (* 2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (sqrt 2)))>
#<alt (* 2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (sqrt 2)))>
#<alt (* 2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (sqrt 2)))>
#<alt (* 2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (sqrt 2)))>
#<alt (* -2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* -2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* -2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* -2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))>
#<alt (* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))>
#<alt (* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))>
#<alt (* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))>
#<alt (* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))>
#<alt (* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))>
#<alt (* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))>
#<alt (* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))>
#<alt (* -512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))>
#<alt (* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))>
#<alt (* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))>
#<alt (* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))>
#<alt (* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))>
#<alt (* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))>
#<alt (* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))>
#<alt (* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))>
#<alt (* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))>
#<alt (* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))>
#<alt (* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))>
#<alt (* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/2 k))>
#<alt (+ 1/2 (* -1/2 k))>
#<alt (+ 1/2 (* -1/2 k))>
#<alt (* -1/2 k)>
#<alt (* k (- (* 1/2 (/ 1 k)) 1/2))>
#<alt (* k (- (* 1/2 (/ 1 k)) 1/2))>
#<alt (* k (- (* 1/2 (/ 1 k)) 1/2))>
#<alt (* -1/2 k)>
#<alt (* -1 (* k (- 1/2 (* 1/2 (/ 1 k)))))>
#<alt (* -1 (* k (- 1/2 (* 1/2 (/ 1 k)))))>
#<alt (* -1 (* k (- 1/2 (* 1/2 (/ 1 k)))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 8192 (* (sqrt (/ 1 k)) (* (pow n 13) (* (pow (PI) 13) (pow (sqrt -1) 2)))))>
#<alt (* 8192 (* (sqrt (/ 1 k)) (* (pow n 13) (* (pow (PI) 13) (pow (sqrt -1) 2)))))>
#<alt (* 8192 (* (sqrt (/ 1 k)) (* (pow n 13) (* (pow (PI) 13) (pow (sqrt -1) 2)))))>
#<alt (* 8192 (* (sqrt (/ 1 k)) (* (pow n 13) (* (pow (PI) 13) (pow (sqrt -1) 2)))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (* (sqrt (/ 1 k)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 k)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 k)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 k)) (pow (sqrt -1) 2))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 1024 (* (pow n 10) (pow (PI) 10)))>
#<alt (* 1024 (* (pow n 10) (pow (PI) 10)))>
#<alt (* 1024 (* (pow n 10) (pow (PI) 10)))>
#<alt (* 1024 (* (pow n 10) (pow (PI) 10)))>
#<alt (* 1024 (* (pow n 10) (pow (PI) 10)))>
#<alt (* 1024 (* (pow n 10) (pow (PI) 10)))>
#<alt (* 1024 (* (pow n 10) (pow (PI) 10)))>
#<alt (* 1024 (* (pow n 10) (pow (PI) 10)))>
#<alt (* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))>
#<alt (* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))>
#<alt (* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))>
#<alt (* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))>
#<alt (* 1024 (* (sqrt k) (* (pow n 10) (pow (PI) 10))))>
#<alt (* 1024 (* (sqrt k) (* (pow n 10) (pow (PI) 10))))>
#<alt (* 1024 (* (sqrt k) (* (pow n 10) (pow (PI) 10))))>
#<alt (* 1024 (* (sqrt k) (* (pow n 10) (pow (PI) 10))))>
#<alt (* -4096 (* (sqrt k) (* (pow n 12) (* (pow (PI) 12) (pow (sqrt -1) 2)))))>
#<alt (* -4096 (* (sqrt k) (* (pow n 12) (* (pow (PI) 12) (pow (sqrt -1) 2)))))>
#<alt (* -4096 (* (sqrt k) (* (pow n 12) (* (pow (PI) 12) (pow (sqrt -1) 2)))))>
#<alt (* -4096 (* (sqrt k) (* (pow n 12) (* (pow (PI) 12) (pow (sqrt -1) 2)))))>
#<alt (* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))>
#<alt (* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))>
#<alt (* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))>
#<alt (* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))>
#<alt (* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))>
#<alt (* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))>
#<alt (* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))>
#<alt (* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))>
#<alt (* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))>
#<alt (* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))>
#<alt (* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))>
#<alt (* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* -1/2 k)>
#<alt (* -1/2 k)>
#<alt (* -1/2 k)>
#<alt (* -1/2 k)>
#<alt k>
#<alt k>
#<alt k>
#<alt k>
#<alt (* -1 k)>
#<alt (* -1 k)>
#<alt (* -1 k)>
#<alt (* -1 k)>
#<alt 1>
#<alt (+ 1 (* -1 k))>
#<alt (+ 1 (* -1 k))>
#<alt (+ 1 (* -1 k))>
#<alt (* -1 k)>
#<alt (* k (- (/ 1 k) 1))>
#<alt (* k (- (/ 1 k) 1))>
#<alt (* k (- (/ 1 k) 1))>
#<alt (* -1 k)>
#<alt (* -1 (* k (- 1 (/ 1 k))))>
#<alt (* -1 (* k (- 1 (/ 1 k))))>
#<alt (* -1 (* k (- 1 (/ 1 k))))>
Calls

90 calls:

TimeVariablePointExpression
8.0ms
n
@inf
(* (/ 1 (sqrt k)) (* (pow (* 2 (* (PI) n)) (* k -1/2)) (sqrt (* 2 (* (PI) n)))))
7.0ms
k
@0
(/ (sqrt (* 2 (* (PI) n))) (* (sqrt k) (pow (* 2 (* (PI) n)) (* k 1/2))))
5.0ms
k
@0
(/ 1 (* (sqrt k) (pow (* 2 (* (PI) n)) (- -1/2 (* k -1/2)))))
3.0ms
k
@-inf
(/ (sqrt (* 2 (* (PI) n))) (* (sqrt k) (pow (* 2 (* (PI) n)) (* k 1/2))))
3.0ms
k
@-inf
(/ 1 (* (sqrt k) (pow (* 2 (* (PI) n)) (- -1/2 (* k -1/2)))))
Compiler

Compiled 1 183 to 906 computations (23.4% saved)

rewrite567.0ms (4.7%)

Memory
27.1MiB live, 579.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 452×lower-*.f32
6 430×lower-*.f64
2 442×lower-/.f32
2 434×lower-/.f64
2 378×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033188
060197
1232161
21340153
09398151
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 1 655
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
(*.f64 (PI.f64) n)
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
(sqrt.f64 k)
(-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))))
(*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))
(/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))
(*.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(pow.f64 k #s(literal -1/2 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))
(PI.f64)
(*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)
(*.f64 k #s(literal -1/2 binary64))
(-.f64 #s(literal 1 binary64) k)
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 k) (*.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))))
(exp.f64 (fma.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (*.f64 #s(literal -1/2 binary64) (log.f64 k))))
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 k)) #s(literal -1 binary64) (*.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))))
(exp.f64 (fma.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 k)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 k)) (*.f64 (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 k)) #s(literal -1 binary64)) (*.f64 (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))))
(exp.f64 (-.f64 (*.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))) (*.f64 #s(literal 1/2 binary64) (log.f64 k))))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (*.f64 k (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))))
(sqrt.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)))
(neg.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))) #s(literal 1 binary64)))
(neg.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 k))))
(neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 k))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64))))))
(neg.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 k)))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (sqrt.f64 (*.f64 k (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal -1/4 binary64) (*.f64 k #s(literal 1/4 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/4 binary64) (*.f64 k #s(literal -1/4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (PI.f64) n) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 #s(literal 2 binary64) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (PI.f64) n) (*.f64 k #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)) (pow.f64 #s(literal 2 binary64) (*.f64 k #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/4 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))) (neg.f64 (sqrt.f64 (*.f64 k (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)))))
(/.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)) (neg.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 k)))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/4 binary64) (*.f64 k #s(literal -1/4 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal -1/4 binary64) (*.f64 k #s(literal 1/4 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 k)) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 #s(literal 2 binary64) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (PI.f64) n) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)) (pow.f64 #s(literal 2 binary64) (*.f64 k #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (PI.f64) n) (*.f64 k #s(literal 1/2 binary64))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/4 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sqrt.f64 k))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/4 binary64) (*.f64 k #s(literal -1/4 binary64)))))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal -1/4 binary64) (*.f64 k #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 #s(literal 2 binary64) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (neg.f64 (pow.f64 (*.f64 (PI.f64) n) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)) (pow.f64 #s(literal 2 binary64) (*.f64 k #s(literal 1/2 binary64))))) (neg.f64 (pow.f64 (*.f64 (PI.f64) n) (*.f64 k #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/4 binary64))))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/4 binary64)))))
(pow.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 k #s(literal -1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/4 binary64) (*.f64 k #s(literal -1/4 binary64))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (+.f64 #s(literal 1/4 binary64) (*.f64 k #s(literal -1/4 binary64)))) (pow.f64 k #s(literal -1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 k (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)))))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (pow.f64 n (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))
(*.f64 (pow.f64 n (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (sqrt.f64 n) (sqrt.f64 (*.f64 k (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (*.f64 (sqrt.f64 n) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (sqrt.f64 (/.f64 n k)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (neg.f64 (sqrt.f64 n)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 k (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k))))))
(*.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 k (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k))))))
(*.f64 (pow.f64 #s(literal 2 binary64) (*.f64 k #s(literal -1/2 binary64))) (*.f64 (pow.f64 (*.f64 (PI.f64) n) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k))))
(*.f64 (pow.f64 #s(literal 2 binary64) (*.f64 k #s(literal -1/2 binary64))) (*.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) n) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))))
(*.f64 (pow.f64 (*.f64 (PI.f64) n) (*.f64 k #s(literal -1/2 binary64))) (*.f64 (pow.f64 #s(literal 2 binary64) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 n) (sqrt.f64 (*.f64 k (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k))))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 k (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)))))
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 k (*.f64 k k))) (+.f64 #s(literal 1 binary64) (fma.f64 k k k)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 k (*.f64 k k))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 k k k)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 k k)) (+.f64 k #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 k k)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 k))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 k (*.f64 k k)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 k k k))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 k k)) (+.f64 #s(literal -1 binary64) (neg.f64 k)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 k k k))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 k k k)) (*.f64 k (*.f64 k k)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 k k k)) (+.f64 #s(literal 1 binary64) (fma.f64 k k k))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 k #s(literal 1 binary64))) (*.f64 (+.f64 k #s(literal 1 binary64)) (*.f64 k k))) (*.f64 (+.f64 k #s(literal 1 binary64)) (+.f64 k #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 k (*.f64 k k)) (*.f64 (*.f64 k (*.f64 k k)) (*.f64 k (*.f64 k k))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 k (*.f64 k k)) (fma.f64 k (*.f64 k k) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 k k k))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 k (*.f64 k k)) (*.f64 k (*.f64 k k)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 k (*.f64 k k))) (+.f64 #s(literal 1 binary64) (fma.f64 k k k))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 k (*.f64 k k)) (*.f64 k (*.f64 k k)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 k k) (fma.f64 k k #s(literal 1 binary64)))) (+.f64 k #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 k (*.f64 k (*.f64 k k)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 k k)) (+.f64 k #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 k (*.f64 k k))))) (+.f64 #s(literal 1 binary64) (fma.f64 k k k)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 k (*.f64 k k))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 k k k)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 k k))) (+.f64 k #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 k k))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 k))))
(/.f64 (fma.f64 k (*.f64 k (neg.f64 k)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 k k k)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 k k k))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 k (*.f64 k k)) (+.f64 #s(literal 1 binary64) (fma.f64 k k k))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 k k k))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 k k k))) (fma.f64 (/.f64 (*.f64 k (*.f64 k k)) (+.f64 #s(literal 1 binary64) (fma.f64 k k k))) (/.f64 (*.f64 k (*.f64 k k)) (+.f64 #s(literal 1 binary64) (fma.f64 k k k))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 k k k))) (/.f64 (*.f64 k (*.f64 k k)) (+.f64 #s(literal 1 binary64) (fma.f64 k k k)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 k #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 k k) (+.f64 k #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 k #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 k #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 k k) (+.f64 k #s(literal 1 binary64))) (/.f64 (*.f64 k k) (+.f64 k #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 k #s(literal 1 binary64))) (/.f64 (*.f64 k k) (+.f64 k #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 k k) #s(literal 1 binary64)) (-.f64 (neg.f64 k) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 k k k))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 k k k)))) (*.f64 (/.f64 (*.f64 k (*.f64 k k)) (+.f64 #s(literal 1 binary64) (fma.f64 k k k))) (/.f64 (*.f64 k (*.f64 k k)) (+.f64 #s(literal 1 binary64) (fma.f64 k k k))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 k k k))) (/.f64 (*.f64 k (*.f64 k k)) (+.f64 #s(literal 1 binary64) (fma.f64 k k k)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 k #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 k #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 k k) (+.f64 k #s(literal 1 binary64))) (/.f64 (*.f64 k k) (+.f64 k #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 k #s(literal 1 binary64))) (/.f64 (*.f64 k k) (+.f64 k #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) k)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) k))
(*.f64 #s(literal -1 binary64) (+.f64 k #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 k (*.f64 k k))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 k k k))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 k k)) (/.f64 #s(literal 1 binary64) (+.f64 k #s(literal 1 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 k (*.f64 k k)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 k k k)))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 k k)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 k))))

simplify359.0ms (3%)

Memory
-11.4MiB live, 424.6MiB allocated
Algorithm
1×egg-herbie
Rules
5 368×lower-*.f64
5 368×lower-*.f32
1 914×lower-fma.f64
1 914×lower-fma.f32
1 516×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01703561
13903448
211013428
325863428
434443428
557633428
081723410
Stop Event
1×iter limit
1×node limit
Counts
360 → 352
Calls
Call 1
Inputs
(* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))
(* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))
(* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))
(* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))
(* 1/2048 (* (sqrt (/ 1 (* k (* (pow n 21) (pow (PI) 21))))) (sqrt 2)))
(* 1/2048 (* (sqrt (/ 1 (* k (* (pow n 21) (pow (PI) 21))))) (sqrt 2)))
(* 1/2048 (* (sqrt (/ 1 (* k (* (pow n 21) (pow (PI) 21))))) (sqrt 2)))
(* 1/2048 (* (sqrt (/ 1 (* k (* (pow n 21) (pow (PI) 21))))) (sqrt 2)))
(* -1/2048 (* (sqrt (/ 1 (* k (* (pow n 21) (pow (PI) 21))))) (* (sqrt -2) (sqrt -1))))
(* -1/2048 (* (sqrt (/ 1 (* k (* (pow n 21) (pow (PI) 21))))) (* (sqrt -2) (sqrt -1))))
(* -1/2048 (* (sqrt (/ 1 (* k (* (pow n 21) (pow (PI) 21))))) (* (sqrt -2) (sqrt -1))))
(* -1/2048 (* (sqrt (/ 1 (* k (* (pow n 21) (pow (PI) 21))))) (* (sqrt -2) (sqrt -1))))
(* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))
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(* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))
(* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))
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(* 1/4096 (* (sqrt (/ 1 (* k (* (pow n 23) (pow (PI) 23))))) (sqrt 2)))
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(* 1/4096 (* (sqrt (/ 1 (* k (* (pow n 23) (pow (PI) 23))))) (sqrt 2)))
(* 1/4096 (* (sqrt (/ 1 (* k (* (pow n 23) (pow (PI) 23))))) (sqrt 2)))
(* (sqrt (* n (PI))) (sqrt 2))
(* (sqrt (* n (PI))) (sqrt 2))
(* (sqrt (* n (PI))) (sqrt 2))
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(* (sqrt n) (sqrt 2))
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(* -1 (* (sqrt n) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt n) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt n) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt n) (* (sqrt -2) (sqrt -1))))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
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(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* n (PI))
(* n (PI))
(* n (PI))
(* n (PI))
n
n
n
n
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(* (sqrt (* n (PI))) (sqrt 2))
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(* (sqrt (* n (PI))) (sqrt 2))
(* (sqrt (* n (PI))) (sqrt 2))
(* (sqrt (* n (PI))) (sqrt 2))
(* (sqrt (* n (PI))) (sqrt 2))
(* (sqrt (* n (PI))) (sqrt 2))
(* -1 (* (sqrt (* n (PI))) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (* n (PI))) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (* n (PI))) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (* n (PI))) (* (sqrt -2) (sqrt -1))))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
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(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
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(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt k)
(sqrt k)
(sqrt k)
(sqrt k)
(sqrt k)
(sqrt k)
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(sqrt k)
(* -1 (* (sqrt k) (pow (sqrt -1) 2)))
(* -1 (* (sqrt k) (pow (sqrt -1) 2)))
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-1/2
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(* 1/8192 (* (sqrt (/ 1 k)) (/ 1 (* (pow n 13) (pow (PI) 13)))))
(* 1/8192 (* (sqrt (/ 1 k)) (/ 1 (* (pow n 13) (pow (PI) 13)))))
(* 1/8192 (* (sqrt (/ 1 k)) (/ 1 (* (pow n 13) (pow (PI) 13)))))
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(* -16384 (* (sqrt k) (* (pow n 14) (* (pow (PI) 14) (pow (sqrt -1) 2)))))
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(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))
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(* 2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (sqrt 2)))
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(* -2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (* (sqrt -2) (sqrt -1))))
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(* -2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (* (sqrt -2) (sqrt -1))))
(* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))
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(* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))
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(* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))
(* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))
(* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))
(* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))
(* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))
(* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))
(* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))
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(* 512 (* (sqrt (* (pow n 19) (pow (PI) 19))) (sqrt 2)))
1/2
(+ 1/2 (* -1/2 k))
(+ 1/2 (* -1/2 k))
(+ 1/2 (* -1/2 k))
(* -1/2 k)
(* k (- (* 1/2 (/ 1 k)) 1/2))
(* k (- (* 1/2 (/ 1 k)) 1/2))
(* k (- (* 1/2 (/ 1 k)) 1/2))
(* -1/2 k)
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(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 8192 (* (sqrt (/ 1 k)) (* (pow n 13) (* (pow (PI) 13) (pow (sqrt -1) 2)))))
(* 8192 (* (sqrt (/ 1 k)) (* (pow n 13) (* (pow (PI) 13) (pow (sqrt -1) 2)))))
(* 8192 (* (sqrt (/ 1 k)) (* (pow n 13) (* (pow (PI) 13) (pow (sqrt -1) 2)))))
(* 8192 (* (sqrt (/ 1 k)) (* (pow n 13) (* (pow (PI) 13) (pow (sqrt -1) 2)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(* (sqrt (/ 1 k)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 k)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 k)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 k)) (pow (sqrt -1) 2))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(* 1024 (* (sqrt k) (* (pow n 10) (pow (PI) 10))))
(* 1024 (* (sqrt k) (* (pow n 10) (pow (PI) 10))))
(* 1024 (* (sqrt k) (* (pow n 10) (pow (PI) 10))))
(* 1024 (* (sqrt k) (* (pow n 10) (pow (PI) 10))))
(* -4096 (* (sqrt k) (* (pow n 12) (* (pow (PI) 12) (pow (sqrt -1) 2)))))
(* -4096 (* (sqrt k) (* (pow n 12) (* (pow (PI) 12) (pow (sqrt -1) 2)))))
(* -4096 (* (sqrt k) (* (pow n 12) (* (pow (PI) 12) (pow (sqrt -1) 2)))))
(* -4096 (* (sqrt k) (* (pow n 12) (* (pow (PI) 12) (pow (sqrt -1) 2)))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* -1/2 k)
(* -1/2 k)
(* -1/2 k)
(* -1/2 k)
k
k
k
k
(* -1 k)
(* -1 k)
(* -1 k)
(* -1 k)
1
(+ 1 (* -1 k))
(+ 1 (* -1 k))
(+ 1 (* -1 k))
(* -1 k)
(* k (- (/ 1 k) 1))
(* k (- (/ 1 k) 1))
(* k (- (/ 1 k) 1))
(* -1 k)
(* -1 (* k (- 1 (/ 1 k))))
(* -1 (* k (- 1 (/ 1 k))))
(* -1 (* k (- 1 (/ 1 k))))
Outputs
(* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 n #s(literal 19 binary64)) (*.f64 k (pow.f64 (PI.f64) #s(literal 19 binary64)))))) (*.f64 #s(literal 1/1024 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 n #s(literal 19 binary64)) (*.f64 k (pow.f64 (PI.f64) #s(literal 19 binary64)))))) (*.f64 #s(literal 1/1024 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 n #s(literal 19 binary64)) (*.f64 k (pow.f64 (PI.f64) #s(literal 19 binary64)))))) (*.f64 #s(literal 1/1024 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 n #s(literal 19 binary64)) (*.f64 k (pow.f64 (PI.f64) #s(literal 19 binary64)))))) (*.f64 #s(literal 1/1024 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/2048 (* (sqrt (/ 1 (* k (* (pow n 21) (pow (PI) 21))))) (sqrt 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 n #s(literal 21 binary64)) (*.f64 k (pow.f64 (PI.f64) #s(literal 21 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2048 binary64)))
(* 1/2048 (* (sqrt (/ 1 (* k (* (pow n 21) (pow (PI) 21))))) (sqrt 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 n #s(literal 21 binary64)) (*.f64 k (pow.f64 (PI.f64) #s(literal 21 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2048 binary64)))
(* 1/2048 (* (sqrt (/ 1 (* k (* (pow n 21) (pow (PI) 21))))) (sqrt 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 n #s(literal 21 binary64)) (*.f64 k (pow.f64 (PI.f64) #s(literal 21 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2048 binary64)))
(* 1/2048 (* (sqrt (/ 1 (* k (* (pow n 21) (pow (PI) 21))))) (sqrt 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 n #s(literal 21 binary64)) (*.f64 k (pow.f64 (PI.f64) #s(literal 21 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2048 binary64)))
(* -1/2048 (* (sqrt (/ 1 (* k (* (pow n 21) (pow (PI) 21))))) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 n #s(literal 21 binary64)) (*.f64 k (pow.f64 (PI.f64) #s(literal 21 binary64)))))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1/2048 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* -1/2048 (* (sqrt (/ 1 (* k (* (pow n 21) (pow (PI) 21))))) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 n #s(literal 21 binary64)) (*.f64 k (pow.f64 (PI.f64) #s(literal 21 binary64)))))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1/2048 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* -1/2048 (* (sqrt (/ 1 (* k (* (pow n 21) (pow (PI) 21))))) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 n #s(literal 21 binary64)) (*.f64 k (pow.f64 (PI.f64) #s(literal 21 binary64)))))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1/2048 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* -1/2048 (* (sqrt (/ 1 (* k (* (pow n 21) (pow (PI) 21))))) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 n #s(literal 21 binary64)) (*.f64 k (pow.f64 (PI.f64) #s(literal 21 binary64)))))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1/2048 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 n #s(literal 19 binary64)) (*.f64 k (pow.f64 (PI.f64) #s(literal 19 binary64)))))) (*.f64 #s(literal 1/1024 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 n #s(literal 19 binary64)) (*.f64 k (pow.f64 (PI.f64) #s(literal 19 binary64)))))) (*.f64 #s(literal 1/1024 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 n #s(literal 19 binary64)) (*.f64 k (pow.f64 (PI.f64) #s(literal 19 binary64)))))) (*.f64 #s(literal 1/1024 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 n #s(literal 19 binary64)) (*.f64 k (pow.f64 (PI.f64) #s(literal 19 binary64)))))) (*.f64 #s(literal 1/1024 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 n #s(literal 19 binary64)) (*.f64 k (pow.f64 (PI.f64) #s(literal 19 binary64)))))) (*.f64 #s(literal 1/1024 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 n #s(literal 19 binary64)) (*.f64 k (pow.f64 (PI.f64) #s(literal 19 binary64)))))) (*.f64 #s(literal 1/1024 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 n #s(literal 19 binary64)) (*.f64 k (pow.f64 (PI.f64) #s(literal 19 binary64)))))) (*.f64 #s(literal 1/1024 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/1024 (* (sqrt (/ 1 (* k (* (pow n 19) (pow (PI) 19))))) (sqrt 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 n #s(literal 19 binary64)) (*.f64 k (pow.f64 (PI.f64) #s(literal 19 binary64)))))) (*.f64 #s(literal 1/1024 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/4096 (* (sqrt (/ 1 (* k (* (pow n 23) (pow (PI) 23))))) (sqrt 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 n #s(literal 23 binary64)) (*.f64 k (pow.f64 (PI.f64) #s(literal 23 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4096 binary64)))
(* 1/4096 (* (sqrt (/ 1 (* k (* (pow n 23) (pow (PI) 23))))) (sqrt 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 n #s(literal 23 binary64)) (*.f64 k (pow.f64 (PI.f64) #s(literal 23 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4096 binary64)))
(* 1/4096 (* (sqrt (/ 1 (* k (* (pow n 23) (pow (PI) 23))))) (sqrt 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 n #s(literal 23 binary64)) (*.f64 k (pow.f64 (PI.f64) #s(literal 23 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4096 binary64)))
(* 1/4096 (* (sqrt (/ 1 (* k (* (pow n 23) (pow (PI) 23))))) (sqrt 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 n #s(literal 23 binary64)) (*.f64 k (pow.f64 (PI.f64) #s(literal 23 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4096 binary64)))
(* (sqrt (* n (PI))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (PI.f64))))
(* (sqrt (* n (PI))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (PI.f64))))
(* (sqrt (* n (PI))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (PI.f64))))
(* (sqrt (* n (PI))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (PI.f64))))
(* (sqrt n) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 n))
(* (sqrt n) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 n))
(* (sqrt n) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 n))
(* (sqrt n) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 n))
(* -1 (* (sqrt n) (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 n)))
(* -1 (* (sqrt n) (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 n)))
(* -1 (* (sqrt n) (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 n)))
(* -1 (* (sqrt n) (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 n)))
(* 2 (* n (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))
(* 2 (* n (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))
(* 2 (* n (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))
(* 2 (* n (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))
(* 2 (* n (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))
(* 2 (* n (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))
(* 2 (* n (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))
(* 2 (* n (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))
(* 2 (* n (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))
(* 2 (* n (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))
(* 2 (* n (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))
(* 2 (* n (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))
(* n (PI))
(*.f64 n (PI.f64))
(* n (PI))
(*.f64 n (PI.f64))
(* n (PI))
(*.f64 n (PI.f64))
(* n (PI))
(*.f64 n (PI.f64))
n
n
n
n
(* n (PI))
(*.f64 n (PI.f64))
(* n (PI))
(*.f64 n (PI.f64))
(* n (PI))
(*.f64 n (PI.f64))
(* n (PI))
(*.f64 n (PI.f64))
(* (sqrt (* n (PI))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (PI.f64))))
(* (sqrt (* n (PI))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (PI.f64))))
(* (sqrt (* n (PI))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (PI.f64))))
(* (sqrt (* n (PI))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (PI.f64))))
(* (sqrt (* n (PI))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (PI.f64))))
(* (sqrt (* n (PI))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (PI.f64))))
(* (sqrt (* n (PI))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (PI.f64))))
(* (sqrt (* n (PI))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (PI.f64))))
(* -1 (* (sqrt (* n (PI))) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* (sqrt (* n (PI))) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* (sqrt (* n (PI))) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* (sqrt (* n (PI))) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 n (PI.f64)) k)))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
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(* 1024 (* (pow n 10) (pow (PI) 10)))
(*.f64 (pow.f64 n #s(literal 10 binary64)) (*.f64 #s(literal 1024 binary64) (pow.f64 (PI.f64) #s(literal 10 binary64))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(*.f64 (pow.f64 n #s(literal 8 binary64)) (*.f64 (sqrt.f64 k) (*.f64 #s(literal 256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(*.f64 (pow.f64 n #s(literal 8 binary64)) (*.f64 (sqrt.f64 k) (*.f64 #s(literal 256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(*.f64 (pow.f64 n #s(literal 8 binary64)) (*.f64 (sqrt.f64 k) (*.f64 #s(literal 256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(*.f64 (pow.f64 n #s(literal 8 binary64)) (*.f64 (sqrt.f64 k) (*.f64 #s(literal 256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)))))
(* 1024 (* (sqrt k) (* (pow n 10) (pow (PI) 10))))
(*.f64 (*.f64 (sqrt.f64 k) (pow.f64 n #s(literal 10 binary64))) (*.f64 #s(literal 1024 binary64) (pow.f64 (PI.f64) #s(literal 10 binary64))))
(* 1024 (* (sqrt k) (* (pow n 10) (pow (PI) 10))))
(*.f64 (*.f64 (sqrt.f64 k) (pow.f64 n #s(literal 10 binary64))) (*.f64 #s(literal 1024 binary64) (pow.f64 (PI.f64) #s(literal 10 binary64))))
(* 1024 (* (sqrt k) (* (pow n 10) (pow (PI) 10))))
(*.f64 (*.f64 (sqrt.f64 k) (pow.f64 n #s(literal 10 binary64))) (*.f64 #s(literal 1024 binary64) (pow.f64 (PI.f64) #s(literal 10 binary64))))
(* 1024 (* (sqrt k) (* (pow n 10) (pow (PI) 10))))
(*.f64 (*.f64 (sqrt.f64 k) (pow.f64 n #s(literal 10 binary64))) (*.f64 #s(literal 1024 binary64) (pow.f64 (PI.f64) #s(literal 10 binary64))))
(* -4096 (* (sqrt k) (* (pow n 12) (* (pow (PI) 12) (pow (sqrt -1) 2)))))
(*.f64 (sqrt.f64 k) (*.f64 (pow.f64 n #s(literal 12 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 12 binary64)) #s(literal 4096 binary64))))
(* -4096 (* (sqrt k) (* (pow n 12) (* (pow (PI) 12) (pow (sqrt -1) 2)))))
(*.f64 (sqrt.f64 k) (*.f64 (pow.f64 n #s(literal 12 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 12 binary64)) #s(literal 4096 binary64))))
(* -4096 (* (sqrt k) (* (pow n 12) (* (pow (PI) 12) (pow (sqrt -1) 2)))))
(*.f64 (sqrt.f64 k) (*.f64 (pow.f64 n #s(literal 12 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 12 binary64)) #s(literal 4096 binary64))))
(* -4096 (* (sqrt k) (* (pow n 12) (* (pow (PI) 12) (pow (sqrt -1) 2)))))
(*.f64 (sqrt.f64 k) (*.f64 (pow.f64 n #s(literal 12 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 12 binary64)) #s(literal 4096 binary64))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(*.f64 (pow.f64 n #s(literal 8 binary64)) (*.f64 (sqrt.f64 k) (*.f64 #s(literal 256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(*.f64 (pow.f64 n #s(literal 8 binary64)) (*.f64 (sqrt.f64 k) (*.f64 #s(literal 256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(*.f64 (pow.f64 n #s(literal 8 binary64)) (*.f64 (sqrt.f64 k) (*.f64 #s(literal 256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(*.f64 (pow.f64 n #s(literal 8 binary64)) (*.f64 (sqrt.f64 k) (*.f64 #s(literal 256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(*.f64 (pow.f64 n #s(literal 8 binary64)) (*.f64 (sqrt.f64 k) (*.f64 #s(literal 256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(*.f64 (pow.f64 n #s(literal 8 binary64)) (*.f64 (sqrt.f64 k) (*.f64 #s(literal 256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(*.f64 (pow.f64 n #s(literal 8 binary64)) (*.f64 (sqrt.f64 k) (*.f64 #s(literal 256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(*.f64 (pow.f64 n #s(literal 8 binary64)) (*.f64 (sqrt.f64 k) (*.f64 #s(literal 256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(*.f64 (pow.f64 n #s(literal 8 binary64)) (*.f64 (sqrt.f64 k) (*.f64 #s(literal 256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(*.f64 (pow.f64 n #s(literal 8 binary64)) (*.f64 (sqrt.f64 k) (*.f64 #s(literal 256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(*.f64 (pow.f64 n #s(literal 8 binary64)) (*.f64 (sqrt.f64 k) (*.f64 #s(literal 256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)))))
(* 256 (* (sqrt k) (* (pow n 8) (pow (PI) 8))))
(*.f64 (pow.f64 n #s(literal 8 binary64)) (*.f64 (sqrt.f64 k) (*.f64 #s(literal 256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)))))
(* 2 (* n (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))
(* 2 (* n (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))
(* 2 (* n (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))
(* 2 (* n (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))
(* 2 (* n (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))
(* 2 (* n (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))
(* 2 (* n (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))
(* 2 (* n (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))
(* 2 (* n (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))
(* 2 (* n (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))
(* 2 (* n (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))
(* 2 (* n (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 n (PI.f64)))
(* -1/2 k)
(*.f64 k #s(literal -1/2 binary64))
(* -1/2 k)
(*.f64 k #s(literal -1/2 binary64))
(* -1/2 k)
(*.f64 k #s(literal -1/2 binary64))
(* -1/2 k)
(*.f64 k #s(literal -1/2 binary64))
k
k
k
k
(* -1 k)
(neg.f64 k)
(* -1 k)
(neg.f64 k)
(* -1 k)
(neg.f64 k)
(* -1 k)
(neg.f64 k)
1
#s(literal 1 binary64)
(+ 1 (* -1 k))
(-.f64 #s(literal 1 binary64) k)
(+ 1 (* -1 k))
(-.f64 #s(literal 1 binary64) k)
(+ 1 (* -1 k))
(-.f64 #s(literal 1 binary64) k)
(* -1 k)
(neg.f64 k)
(* k (- (/ 1 k) 1))
(-.f64 #s(literal 1 binary64) k)
(* k (- (/ 1 k) 1))
(-.f64 #s(literal 1 binary64) k)
(* k (- (/ 1 k) 1))
(-.f64 #s(literal 1 binary64) k)
(* -1 k)
(neg.f64 k)
(* -1 (* k (- 1 (/ 1 k))))
(-.f64 #s(literal 1 binary64) k)
(* -1 (* k (- 1 (/ 1 k))))
(-.f64 #s(literal 1 binary64) k)
(* -1 (* k (- 1 (/ 1 k))))
(-.f64 #s(literal 1 binary64) k)

eval498.0ms (4.1%)

Memory
12.6MiB live, 804.6MiB allocated
Compiler

Compiled 60 937 to 5 351 computations (91.2% saved)

prune279.0ms (2.3%)

Memory
-5.4MiB live, 680.2MiB allocated
Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New2 807262 833
Fresh12113
Picked505
Done000
Total2 824272 851
Accuracy
100.0%
Counts
2 851 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
99.3%
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (sqrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k) k)))
47.2%
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (sqrt.f64 k))
99.5%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
47.1%
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) #s(literal -1/2 binary64))))
▶38.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))))
▶99.5%
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
76.9%
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)))
99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 k (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))
99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (-.f64 #s(literal 1 binary64) k)))
47.1%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64))))
▶46.9%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 n #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))
46.9%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (sqrt.f64 n)))
47.0%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 n) (sqrt.f64 #s(literal 2 binary64)))))
47.1%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))
46.9%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (sqrt.f64 n))
47.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (PI.f64) n)))
▶99.6%
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) k)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))))
99.5%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
47.1%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(literal 1/2 binary64)))
47.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 (/.f64 #s(literal 2 binary64) k)))
37.8%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (sqrt.f64 (/.f64 n k)))
37.9%
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 n k))))
47.2%
(*.f64 (sqrt.f64 n) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) k)))
37.9%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 (PI.f64) n) k)))
76.5%
(sqrt.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)))
▶38.0%
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k))
Compiler

Compiled 796 to 614 computations (22.9% saved)

simplify10.0ms (0.1%)

Memory
23.9MiB live, 23.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (PI.f64) n)
✓cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
✓cost-diff0
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
✓cost-diff320
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
✓cost-diff0
(*.f64 (sqrt.f64 (*.f64 n #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
✓cost-diff0
(sqrt.f64 k)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 n #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
✓cost-diff0
(/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))
✓cost-diff0
(sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))))
✓cost-diff0
(*.f64 (PI.f64) n)
✓cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
✓cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)
✓cost-diff0
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k))
✓cost-diff0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))))
✓cost-diff0
(/.f64 #s(literal 2 binary64) k)
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 2 binary64) k))
✓cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) k)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))))
Rules
164×lower-*.f32
146×lower-*.f64
64×lower-/.f32
58×*-commutative
54×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031223
056223
182219
2128219
3186219
4203219
0203219
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) k)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 2 binary64) k))
(/.f64 #s(literal 2 binary64) k)
#s(literal 2 binary64)
k
(*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))))
(sqrt.f64 (*.f64 (PI.f64) n))
(*.f64 (PI.f64) n)
(PI.f64)
n
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
(*.f64 k #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
#s(literal 2 binary64)
(*.f64 (PI.f64) n)
(PI.f64)
n
k
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))
(/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))
k
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
#s(literal 2 binary64)
(*.f64 (PI.f64) n)
(PI.f64)
n
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 n #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
#s(literal 1 binary64)
(sqrt.f64 k)
k
(*.f64 (sqrt.f64 (*.f64 n #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
(sqrt.f64 (*.f64 n #s(literal 2 binary64)))
(*.f64 n #s(literal 2 binary64))
n
#s(literal 2 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
#s(literal 2 binary64)
(*.f64 (PI.f64) n)
(PI.f64)
n
(fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))
k
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
#s(literal 1 binary64)
(sqrt.f64 k)
Outputs
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) k)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 2 binary64) k))
(/.f64 #s(literal 2 binary64) k)
#s(literal 2 binary64)
k
(*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))))
(sqrt.f64 (*.f64 (PI.f64) n))
(*.f64 (PI.f64) n)
(PI.f64)
n
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
(*.f64 k #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
#s(literal 2 binary64)
(*.f64 (PI.f64) n)
(PI.f64)
n
k
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))
(/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))
k
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
#s(literal 2 binary64)
(*.f64 (PI.f64) n)
(PI.f64)
n
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 n #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
#s(literal 1 binary64)
(sqrt.f64 k)
k
(*.f64 (sqrt.f64 (*.f64 n #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 (PI.f64)))
(sqrt.f64 (*.f64 n #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) n))
(*.f64 n #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) n)
n
#s(literal 2 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
#s(literal 2 binary64)
(*.f64 (PI.f64) n)
(PI.f64)
n
(fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))
k
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
#s(literal 1 binary64)
(sqrt.f64 k)

localize161.0ms (1.3%)

Memory
2.3MiB live, 278.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy4.9%
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
✓accuracy4.8%
(PI.f64)
✓accuracy4.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
✓accuracy4.4%
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
✓accuracy4.8%
(PI.f64)
✓accuracy4.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
✓accuracy4.4%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 n #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))
✓accuracy4.4%
(*.f64 (sqrt.f64 (*.f64 n #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
✓accuracy5.3%
(/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))
✓accuracy5.1%
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
✓accuracy4.8%
(PI.f64)
✓accuracy4.1%
(sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))
✓accuracy7.1%
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)
✓accuracy6.7%
(*.f64 (PI.f64) n)
✓accuracy5.1%
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
✓accuracy4.8%
(PI.f64)
✓accuracy3.6%
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))
✓accuracy1.7%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))))
✓accuracy1.7%
(*.f64 k #s(literal -1/2 binary64))
✓accuracy1.6%
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) k)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))))
Samples
94.0ms256×0valid
Compiler

Compiled 453 to 64 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-pow: 36.0ms (49.9% of total)
ival-mult: 12.0ms (16.6% of total)
ival-sqrt: 12.0ms (16.6% of total)
ival-div: 10.0ms (13.9% of total)
ival-pi: 1.0ms (1.4% of total)
ival-add: 1.0ms (1.4% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series77.0ms (0.6%)

Memory
-14.2MiB live, 181.4MiB allocated
Counts
20 → 360
Calls
Call 1
Inputs
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) k)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))))>
#<alt (sqrt.f64 (/.f64 #s(literal 2 binary64) k))>
#<alt (/.f64 #s(literal 2 binary64) k)>
#<alt (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))))>
#<alt (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k))>
#<alt (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))>
#<alt (*.f64 (PI.f64) n)>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))))>
#<alt (sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))>
#<alt (/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 n #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 k))>
#<alt (sqrt.f64 k)>
#<alt (*.f64 (sqrt.f64 (*.f64 n #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))>
#<alt (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))>
#<alt (*.f64 k #s(literal -1/2 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))>
#<alt (PI.f64)>
Outputs
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))>
#<alt (* 2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* 2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* 2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* 2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))>
#<alt (* 2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (sqrt 2)))>
#<alt (* 2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (sqrt 2)))>
#<alt (* 2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (sqrt 2)))>
#<alt (* 2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (sqrt 2)))>
#<alt (* -16384 (* (sqrt (/ (* (pow n 29) (pow (PI) 29)) k)) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -16384 (* (sqrt (/ (* (pow n 29) (pow (PI) 29)) k)) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -16384 (* (sqrt (/ (* (pow n 29) (pow (PI) 29)) k)) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -16384 (* (sqrt (/ (* (pow n 29) (pow (PI) 29)) k)) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* (sqrt (/ 1 k)) (sqrt 2))>
#<alt (* (sqrt (/ 1 k)) (sqrt 2))>
#<alt (* (sqrt (/ 1 k)) (sqrt 2))>
#<alt (* (sqrt (/ 1 k)) (sqrt 2))>
#<alt (* (sqrt (/ 1 k)) (sqrt 2))>
#<alt (* (sqrt (/ 1 k)) (sqrt 2))>
#<alt (* (sqrt (/ 1 k)) (sqrt 2))>
#<alt (* (sqrt (/ 1 k)) (sqrt 2))>
#<alt (* (sqrt (/ 1 k)) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (/ 1 k)) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (/ 1 k)) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (/ 1 k)) (* (sqrt -2) (sqrt -1)))>
#<alt (/ 1 k)>
#<alt (/ 1 k)>
#<alt (/ 1 k)>
#<alt (/ 1 k)>
#<alt (/ 2 k)>
#<alt (/ 2 k)>
#<alt (/ 2 k)>
#<alt (/ 2 k)>
#<alt (/ 2 k)>
#<alt (/ 2 k)>
#<alt (/ 2 k)>
#<alt (/ 2 k)>
#<alt (* 256 (sqrt (* (pow n 17) (pow (PI) 17))))>
#<alt (* 256 (sqrt (* (pow n 17) (pow (PI) 17))))>
#<alt (* 256 (sqrt (* (pow n 17) (pow (PI) 17))))>
#<alt (* 256 (sqrt (* (pow n 17) (pow (PI) 17))))>
#<alt (* 256 (sqrt (* (pow n 17) (pow (PI) 17))))>
#<alt (* 256 (sqrt (* (pow n 17) (pow (PI) 17))))>
#<alt (* 256 (sqrt (* (pow n 17) (pow (PI) 17))))>
#<alt (* 256 (sqrt (* (pow n 17) (pow (PI) 17))))>
#<alt (* -1024 (* (sqrt (* (pow n 21) (pow (PI) 21))) (pow (sqrt -1) 2)))>
#<alt (* -1024 (* (sqrt (* (pow n 21) (pow (PI) 21))) (pow (sqrt -1) 2)))>
#<alt (* -1024 (* (sqrt (* (pow n 21) (pow (PI) 21))) (pow (sqrt -1) 2)))>
#<alt (* -1024 (* (sqrt (* (pow n 21) (pow (PI) 21))) (pow (sqrt -1) 2)))>
#<alt (* 256 (sqrt (* (pow n 17) (pow (PI) 17))))>
#<alt (* 256 (sqrt (* (pow n 17) (pow (PI) 17))))>
#<alt (* 256 (sqrt (* (pow n 17) (pow (PI) 17))))>
#<alt (* 256 (sqrt (* (pow n 17) (pow (PI) 17))))>
#<alt (* 256 (sqrt (* (pow n 17) (pow (PI) 17))))>
#<alt (* 256 (sqrt (* (pow n 17) (pow (PI) 17))))>
#<alt (* 256 (sqrt (* (pow n 17) (pow (PI) 17))))>
#<alt (* 256 (sqrt (* (pow n 17) (pow (PI) 17))))>
#<alt (* 256 (sqrt (* (pow n 17) (pow (PI) 17))))>
#<alt (* 256 (sqrt (* (pow n 17) (pow (PI) 17))))>
#<alt (* 256 (sqrt (* (pow n 17) (pow (PI) 17))))>
#<alt (* 256 (sqrt (* (pow n 17) (pow (PI) 17))))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1)))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* n (PI))>
#<alt (* n (PI))>
#<alt (* n (PI))>
#<alt (* n (PI))>
#<alt n>
#<alt n>
#<alt n>
#<alt n>
#<alt (* n (PI))>
#<alt (* n (PI))>
#<alt (* n (PI))>
#<alt (* n (PI))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ (sqrt -1) (sqrt -1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ (sqrt -1) (sqrt -1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ (sqrt -1) (sqrt -1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ (sqrt -1) (sqrt -1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (/ (sqrt -1) (sqrt -1/2))))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (/ (sqrt -1) (sqrt -1/2))))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (/ (sqrt -1) (sqrt -1/2))))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (/ (sqrt -1) (sqrt -1/2))))>
#<alt (* (sqrt (/ k (* n (PI)))) (sqrt 1/2))>
#<alt (* (sqrt (/ k (* n (PI)))) (sqrt 1/2))>
#<alt (* (sqrt (/ k (* n (PI)))) (sqrt 1/2))>
#<alt (* (sqrt (/ k (* n (PI)))) (sqrt 1/2))>
#<alt (* (sqrt (/ k (* n (PI)))) (sqrt 1/2))>
#<alt (* (sqrt (/ k (* n (PI)))) (sqrt 1/2))>
#<alt (* (sqrt (/ k (* n (PI)))) (sqrt 1/2))>
#<alt (* (sqrt (/ k (* n (PI)))) (sqrt 1/2))>
#<alt (* -1 (* (sqrt (/ k (* n (PI)))) (* (sqrt -1) (sqrt -1/2))))>
#<alt (* -1 (* (sqrt (/ k (* n (PI)))) (* (sqrt -1) (sqrt -1/2))))>
#<alt (* -1 (* (sqrt (/ k (* n (PI)))) (* (sqrt -1) (sqrt -1/2))))>
#<alt (* -1 (* (sqrt (/ k (* n (PI)))) (* (sqrt -1) (sqrt -1/2))))>
#<alt (* (sqrt (/ k (* n (PI)))) (sqrt 1/2))>
#<alt (* (sqrt (/ k (* n (PI)))) (sqrt 1/2))>
#<alt (* (sqrt (/ k (* n (PI)))) (sqrt 1/2))>
#<alt (* (sqrt (/ k (* n (PI)))) (sqrt 1/2))>
#<alt (* (sqrt (/ k (* n (PI)))) (sqrt 1/2))>
#<alt (* (sqrt (/ k (* n (PI)))) (sqrt 1/2))>
#<alt (* (sqrt (/ k (* n (PI)))) (sqrt 1/2))>
#<alt (* (sqrt (/ k (* n (PI)))) (sqrt 1/2))>
#<alt (* (sqrt (/ k (* n (PI)))) (* (sqrt -1) (sqrt -1/2)))>
#<alt (* (sqrt (/ k (* n (PI)))) (* (sqrt -1) (sqrt -1/2)))>
#<alt (* (sqrt (/ k (* n (PI)))) (* (sqrt -1) (sqrt -1/2)))>
#<alt (* (sqrt (/ k (* n (PI)))) (* (sqrt -1) (sqrt -1/2)))>
#<alt (* 1/2 (/ k (* n (PI))))>
#<alt (* 1/2 (/ k (* n (PI))))>
#<alt (* 1/2 (/ k (* n (PI))))>
#<alt (* 1/2 (/ k (* n (PI))))>
#<alt (* 1/2 (/ k (* n (PI))))>
#<alt (* 1/2 (/ k (* n (PI))))>
#<alt (* 1/2 (/ k (* n (PI))))>
#<alt (* 1/2 (/ k (* n (PI))))>
#<alt (* 1/2 (/ k (* n (PI))))>
#<alt (* 1/2 (/ k (* n (PI))))>
#<alt (* 1/2 (/ k (* n (PI))))>
#<alt (* 1/2 (/ k (* n (PI))))>
#<alt (* 1/2 (/ k (* n (PI))))>
#<alt (* 1/2 (/ k (* n (PI))))>
#<alt (* 1/2 (/ k (* n (PI))))>
#<alt (* 1/2 (/ k (* n (PI))))>
#<alt (* 1/2 (/ k (* n (PI))))>
#<alt (* 1/2 (/ k (* n (PI))))>
#<alt (* 1/2 (/ k (* n (PI))))>
#<alt (* 1/2 (/ k (* n (PI))))>
#<alt (* 1/2 (/ k (* n (PI))))>
#<alt (* 1/2 (/ k (* n (PI))))>
#<alt (* 1/2 (/ k (* n (PI))))>
#<alt (* 1/2 (/ k (* n (PI))))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt k)>
#<alt (sqrt k)>
#<alt (sqrt k)>
#<alt (sqrt k)>
#<alt (sqrt k)>
#<alt (sqrt k)>
#<alt (sqrt k)>
#<alt (sqrt k)>
#<alt (* -1 (* (sqrt k) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt k) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt k) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt k) (pow (sqrt -1) 2)))>
#<alt (* (sqrt (* n (PI))) (sqrt 2))>
#<alt (* (sqrt (* n (PI))) (sqrt 2))>
#<alt (* (sqrt (* n (PI))) (sqrt 2))>
#<alt (* (sqrt (* n (PI))) (sqrt 2))>
#<alt (* (sqrt n) (sqrt 2))>
#<alt (* (sqrt n) (sqrt 2))>
#<alt (* (sqrt n) (sqrt 2))>
#<alt (* (sqrt n) (sqrt 2))>
#<alt (* -1 (* (sqrt n) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt n) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt n) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt n) (* (sqrt -2) (sqrt -1))))>
#<alt (* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))>
#<alt (* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))>
#<alt (* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))>
#<alt (* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))>
#<alt (* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))>
#<alt (* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))>
#<alt (* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))>
#<alt (* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))>
#<alt (* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))>
#<alt (* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))>
#<alt (* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))>
#<alt (* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))>
#<alt (* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))>
#<alt (* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))>
#<alt (* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))>
#<alt (* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 512 (* (pow n 9) (pow (PI) 9)))>
#<alt (* 1024 (* (pow n 10) (pow (PI) 10)))>
#<alt (* 1024 (* (pow n 10) (pow (PI) 10)))>
#<alt (* 1024 (* (pow n 10) (pow (PI) 10)))>
#<alt (* 1024 (* (pow n 10) (pow (PI) 10)))>
#<alt (* 1024 (* (pow n 10) (pow (PI) 10)))>
#<alt (* 1024 (* (pow n 10) (pow (PI) 10)))>
#<alt (* 1024 (* (pow n 10) (pow (PI) 10)))>
#<alt (* 1024 (* (pow n 10) (pow (PI) 10)))>
#<alt (* -1/2 k)>
#<alt (* -1/2 k)>
#<alt (* -1/2 k)>
#<alt (* -1/2 k)>
#<alt k>
#<alt k>
#<alt k>
#<alt k>
#<alt (* -1 k)>
#<alt (* -1 k)>
#<alt (* -1 k)>
#<alt (* -1 k)>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
Calls

90 calls:

TimeVariablePointExpression
3.0ms
n
@-inf
(* (sqrt (/ 2 k)) (* (sqrt (* (PI) n)) (pow (* 2 (* (PI) n)) (* k -1/2))))
2.0ms
n
@0
(* (pow (* 2 (* (PI) n)) (+ (* k -1/2) 1/2)) (/ 1 (sqrt k)))
2.0ms
n
@-inf
(pow (* 2 (* (PI) n)) (* k -1/2))
2.0ms
k
@0
(* (sqrt (* (PI) n)) (pow (* 2 (* (PI) n)) (* k -1/2)))
2.0ms
k
@-inf
(* (sqrt (/ 2 k)) (* (sqrt (* (PI) n)) (pow (* 2 (* (PI) n)) (* k -1/2))))
Compiler

Compiled 1 010 to 800 computations (20.8% saved)

rewrite377.0ms (3.1%)

Memory
23.6MiB live, 572.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 406×lower-*.f32
6 388×lower-*.f64
2 826×lower-fma.f32
2 824×lower-fma.f64
2 580×lower-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031151
056148
1178135
2913133
37747133
09310133
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 1 553
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) k)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 2 binary64) k))
(/.f64 #s(literal 2 binary64) k)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))))
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
(*.f64 (PI.f64) n)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))))
(sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))
(/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 n #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
(sqrt.f64 k)
(*.f64 (sqrt.f64 (*.f64 n #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 k #s(literal -1/2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))
(PI.f64)
Outputs
(exp.f64 (fma.f64 k (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 k (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) n))))))))
(exp.f64 (fma.f64 (*.f64 k #s(literal -1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (PI.f64) n) k))))))
(exp.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 k (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) n))))) (*.f64 (*.f64 k #s(literal -1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (PI.f64) n) k))) (*.f64 (*.f64 k #s(literal -1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))))
(exp.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 k)) (*.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))))
(exp.f64 (fma.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 k)))))
(exp.f64 (-.f64 (*.f64 (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))) (*.f64 #s(literal 1/2 binary64) (log.f64 k))))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (PI.f64) n) k)))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (PI.f64) n) k))))))
(neg.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 k))))
(neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 k))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 k)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 k (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) n)))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
(/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 k)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sqrt.f64 k))
(/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 k #s(literal 1/4 binary64))) (pow.f64 k #s(literal 1/4 binary64)))
(/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 k (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) n)))))
(/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (*.f64 k (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) n))))))
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 k (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) n)))))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 k (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) n))))))
(/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) (*.f64 n #s(literal -2 binary64))))) (sqrt.f64 (neg.f64 k)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (neg.f64 k)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 k)))
(/.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))))) (sqrt.f64 (neg.f64 k)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))))) (neg.f64 (sqrt.f64 k)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 n #s(literal -2 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 (neg.f64 k)))
(/.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (sqrt.f64 k))
(pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k) (*.f64 k (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) n)))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (*.f64 k (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) n))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)) #s(literal -1/2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) k)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) k)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (PI.f64) n) k))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) k)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (PI.f64) n) k))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (PI.f64) n) k))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (PI.f64) n) k))) (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
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simplify375.0ms (3.1%)

Memory
-5.1MiB live, 355.7MiB allocated
Algorithm
1×egg-herbie
Rules
4 384×lower-*.f64
4 384×lower-*.f32
4 196×lower-fma.f64
4 196×lower-fma.f32
1 276×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01233152
12483088
25843080
310553080
413643080
515963080
621243080
737563080
848533080
952583080
1055273080
1156353080
1258193080
1362583080
1464673080
1566433080
1670853080
1775513080
1877263080
1979323080
080443080
Stop Event
1×iter limit
1×node limit
Counts
360 → 352
Calls
Call 1
Inputs
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))
(* 2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (* (sqrt -2) (sqrt -1))))
(* 2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (* (sqrt -2) (sqrt -1))))
(* 2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (* (sqrt -2) (sqrt -1))))
(* 2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (* (sqrt -2) (sqrt -1))))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))
(* 2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (sqrt 2)))
(* 2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (sqrt 2)))
(* 2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (sqrt 2)))
(* 2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (sqrt 2)))
(* -16384 (* (sqrt (/ (* (pow n 29) (pow (PI) 29)) k)) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -16384 (* (sqrt (/ (* (pow n 29) (pow (PI) 29)) k)) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -16384 (* (sqrt (/ (* (pow n 29) (pow (PI) 29)) k)) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -16384 (* (sqrt (/ (* (pow n 29) (pow (PI) 29)) k)) (* (pow (sqrt -1) 2) (sqrt 2))))
(* (sqrt (/ 1 k)) (sqrt 2))
(* (sqrt (/ 1 k)) (sqrt 2))
(* (sqrt (/ 1 k)) (sqrt 2))
(* (sqrt (/ 1 k)) (sqrt 2))
(* (sqrt (/ 1 k)) (sqrt 2))
(* (sqrt (/ 1 k)) (sqrt 2))
(* (sqrt (/ 1 k)) (sqrt 2))
(* (sqrt (/ 1 k)) (sqrt 2))
(* (sqrt (/ 1 k)) (* (sqrt -2) (sqrt -1)))
(* (sqrt (/ 1 k)) (* (sqrt -2) (sqrt -1)))
(* (sqrt (/ 1 k)) (* (sqrt -2) (sqrt -1)))
(* (sqrt (/ 1 k)) (* (sqrt -2) (sqrt -1)))
(/ 1 k)
(/ 1 k)
(/ 1 k)
(/ 1 k)
(/ 2 k)
(/ 2 k)
(/ 2 k)
(/ 2 k)
(/ 2 k)
(/ 2 k)
(/ 2 k)
(/ 2 k)
(* 256 (sqrt (* (pow n 17) (pow (PI) 17))))
(* 256 (sqrt (* (pow n 17) (pow (PI) 17))))
(* 256 (sqrt (* (pow n 17) (pow (PI) 17))))
(* 256 (sqrt (* (pow n 17) (pow (PI) 17))))
(* 256 (sqrt (* (pow n 17) (pow (PI) 17))))
(* 256 (sqrt (* (pow n 17) (pow (PI) 17))))
(* 256 (sqrt (* (pow n 17) (pow (PI) 17))))
(* 256 (sqrt (* (pow n 17) (pow (PI) 17))))
(* -1024 (* (sqrt (* (pow n 21) (pow (PI) 21))) (pow (sqrt -1) 2)))
(* -1024 (* (sqrt (* (pow n 21) (pow (PI) 21))) (pow (sqrt -1) 2)))
(* -1024 (* (sqrt (* (pow n 21) (pow (PI) 21))) (pow (sqrt -1) 2)))
(* -1024 (* (sqrt (* (pow n 21) (pow (PI) 21))) (pow (sqrt -1) 2)))
(* 256 (sqrt (* (pow n 17) (pow (PI) 17))))
(* 256 (sqrt (* (pow n 17) (pow (PI) 17))))
(* 256 (sqrt (* (pow n 17) (pow (PI) 17))))
(* 256 (sqrt (* (pow n 17) (pow (PI) 17))))
(* 256 (sqrt (* (pow n 17) (pow (PI) 17))))
(* 256 (sqrt (* (pow n 17) (pow (PI) 17))))
(* 256 (sqrt (* (pow n 17) (pow (PI) 17))))
(* 256 (sqrt (* (pow n 17) (pow (PI) 17))))
(* 256 (sqrt (* (pow n 17) (pow (PI) 17))))
(* 256 (sqrt (* (pow n 17) (pow (PI) 17))))
(* 256 (sqrt (* (pow n 17) (pow (PI) 17))))
(* 256 (sqrt (* (pow n 17) (pow (PI) 17))))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1)))
(* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1)))
(* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1)))
(* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1)))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* n (PI))
(* n (PI))
(* n (PI))
(* n (PI))
n
n
n
n
(* n (PI))
(* n (PI))
(* n (PI))
(* n (PI))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* -1 (* (sqrt (/ (* n (PI)) k)) (/ (sqrt -1) (sqrt -1/2))))
(* -1 (* (sqrt (/ (* n (PI)) k)) (/ (sqrt -1) (sqrt -1/2))))
(* -1 (* (sqrt (/ (* n (PI)) k)) (/ (sqrt -1) (sqrt -1/2))))
(* -1 (* (sqrt (/ (* n (PI)) k)) (/ (sqrt -1) (sqrt -1/2))))
(* (sqrt (/ k (* n (PI)))) (sqrt 1/2))
(* (sqrt (/ k (* n (PI)))) (sqrt 1/2))
(* (sqrt (/ k (* n (PI)))) (sqrt 1/2))
(* (sqrt (/ k (* n (PI)))) (sqrt 1/2))
(* (sqrt (/ k (* n (PI)))) (sqrt 1/2))
(* (sqrt (/ k (* n (PI)))) (sqrt 1/2))
(* (sqrt (/ k (* n (PI)))) (sqrt 1/2))
(* (sqrt (/ k (* n (PI)))) (sqrt 1/2))
(* -1 (* (sqrt (/ k (* n (PI)))) (* (sqrt -1) (sqrt -1/2))))
(* -1 (* (sqrt (/ k (* n (PI)))) (* (sqrt -1) (sqrt -1/2))))
(* -1 (* (sqrt (/ k (* n (PI)))) (* (sqrt -1) (sqrt -1/2))))
(* -1 (* (sqrt (/ k (* n (PI)))) (* (sqrt -1) (sqrt -1/2))))
(* (sqrt (/ k (* n (PI)))) (sqrt 1/2))
(* (sqrt (/ k (* n (PI)))) (sqrt 1/2))
(* (sqrt (/ k (* n (PI)))) (sqrt 1/2))
(* (sqrt (/ k (* n (PI)))) (sqrt 1/2))
(* (sqrt (/ k (* n (PI)))) (sqrt 1/2))
(* (sqrt (/ k (* n (PI)))) (sqrt 1/2))
(* (sqrt (/ k (* n (PI)))) (sqrt 1/2))
(* (sqrt (/ k (* n (PI)))) (sqrt 1/2))
(* (sqrt (/ k (* n (PI)))) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ k (* n (PI)))) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ k (* n (PI)))) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ k (* n (PI)))) (* (sqrt -1) (sqrt -1/2)))
(* 1/2 (/ k (* n (PI))))
(* 1/2 (/ k (* n (PI))))
(* 1/2 (/ k (* n (PI))))
(* 1/2 (/ k (* n (PI))))
(* 1/2 (/ k (* n (PI))))
(* 1/2 (/ k (* n (PI))))
(* 1/2 (/ k (* n (PI))))
(* 1/2 (/ k (* n (PI))))
(* 1/2 (/ k (* n (PI))))
(* 1/2 (/ k (* n (PI))))
(* 1/2 (/ k (* n (PI))))
(* 1/2 (/ k (* n (PI))))
(* 1/2 (/ k (* n (PI))))
(* 1/2 (/ k (* n (PI))))
(* 1/2 (/ k (* n (PI))))
(* 1/2 (/ k (* n (PI))))
(* 1/2 (/ k (* n (PI))))
(* 1/2 (/ k (* n (PI))))
(* 1/2 (/ k (* n (PI))))
(* 1/2 (/ k (* n (PI))))
(* 1/2 (/ k (* n (PI))))
(* 1/2 (/ k (* n (PI))))
(* 1/2 (/ k (* n (PI))))
(* 1/2 (/ k (* n (PI))))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt k)
(sqrt k)
(sqrt k)
(sqrt k)
(sqrt k)
(sqrt k)
(sqrt k)
(sqrt k)
(* -1 (* (sqrt k) (pow (sqrt -1) 2)))
(* -1 (* (sqrt k) (pow (sqrt -1) 2)))
(* -1 (* (sqrt k) (pow (sqrt -1) 2)))
(* -1 (* (sqrt k) (pow (sqrt -1) 2)))
(* (sqrt (* n (PI))) (sqrt 2))
(* (sqrt (* n (PI))) (sqrt 2))
(* (sqrt (* n (PI))) (sqrt 2))
(* (sqrt (* n (PI))) (sqrt 2))
(* (sqrt n) (sqrt 2))
(* (sqrt n) (sqrt 2))
(* (sqrt n) (sqrt 2))
(* (sqrt n) (sqrt 2))
(* -1 (* (sqrt n) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt n) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt n) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt n) (* (sqrt -2) (sqrt -1))))
(* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))
(* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))
(* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))
(* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))
(* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))
(* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))
(* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))
(* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))
(* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))
(* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))
(* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))
(* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))
(* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))
(* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))
(* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))
(* 4096 (* (sqrt (/ 1 k)) (* (pow n 12) (pow (PI) 12))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 512 (* (pow n 9) (pow (PI) 9)))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(* -1/2 k)
(* -1/2 k)
(* -1/2 k)
(* -1/2 k)
k
k
k
k
(* -1 k)
(* -1 k)
(* -1 k)
(* -1 k)
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
Outputs
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 21 binary64)) (/.f64 (pow.f64 n #s(literal 21 binary64)) k))) (*.f64 #s(literal 1024 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 21 binary64)) (/.f64 (pow.f64 n #s(literal 21 binary64)) k))) (*.f64 #s(literal 1024 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 21 binary64)) (/.f64 (pow.f64 n #s(literal 21 binary64)) k))) (*.f64 #s(literal 1024 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 21 binary64)) (/.f64 (pow.f64 n #s(literal 21 binary64)) k))) (*.f64 #s(literal 1024 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 21 binary64)) (/.f64 (pow.f64 n #s(literal 21 binary64)) k))) (*.f64 #s(literal 1024 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 21 binary64)) (/.f64 (pow.f64 n #s(literal 21 binary64)) k))) (*.f64 #s(literal 1024 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 21 binary64)) (/.f64 (pow.f64 n #s(literal 21 binary64)) k))) (*.f64 #s(literal 1024 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 21 binary64)) (/.f64 (pow.f64 n #s(literal 21 binary64)) k))) (*.f64 #s(literal 1024 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 23 binary64)) (/.f64 (pow.f64 n #s(literal 23 binary64)) k))) (*.f64 #s(literal 2048 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* 2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 23 binary64)) (/.f64 (pow.f64 n #s(literal 23 binary64)) k))) (*.f64 #s(literal 2048 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* 2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 23 binary64)) (/.f64 (pow.f64 n #s(literal 23 binary64)) k))) (*.f64 #s(literal 2048 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* 2048 (* (sqrt (/ (* (pow n 23) (pow (PI) 23)) k)) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 23 binary64)) (/.f64 (pow.f64 n #s(literal 23 binary64)) k))) (*.f64 #s(literal 2048 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 21 binary64)) (/.f64 (pow.f64 n #s(literal 21 binary64)) k))) (*.f64 #s(literal 1024 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 21 binary64)) (/.f64 (pow.f64 n #s(literal 21 binary64)) k))) (*.f64 #s(literal 1024 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))
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(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (sqrt 2)))
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(*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (*.f64 #s(literal 2048 binary64) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (*.f64 #s(literal 2048 binary64) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (*.f64 #s(literal 2048 binary64) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (*.f64 #s(literal 2048 binary64) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (*.f64 #s(literal 2048 binary64) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (*.f64 #s(literal 2048 binary64) (pow.f64 n #s(literal 11 binary64)))))
(* 2048 (* (sqrt (/ 1 k)) (* (pow n 11) (pow (PI) 11))))
(*.f64 (pow.f64 (PI.f64) #s(literal 11 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (*.f64 #s(literal 2048 binary64) (pow.f64 n #s(literal 11 binary64)))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 512 (* (pow n 9) (pow (PI) 9)))
(*.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 #s(literal 512 binary64) (pow.f64 (PI.f64) #s(literal 9 binary64))))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(*.f64 (pow.f64 n #s(literal 10 binary64)) (*.f64 #s(literal 1024 binary64) (pow.f64 (PI.f64) #s(literal 10 binary64))))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(*.f64 (pow.f64 n #s(literal 10 binary64)) (*.f64 #s(literal 1024 binary64) (pow.f64 (PI.f64) #s(literal 10 binary64))))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(*.f64 (pow.f64 n #s(literal 10 binary64)) (*.f64 #s(literal 1024 binary64) (pow.f64 (PI.f64) #s(literal 10 binary64))))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(*.f64 (pow.f64 n #s(literal 10 binary64)) (*.f64 #s(literal 1024 binary64) (pow.f64 (PI.f64) #s(literal 10 binary64))))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(*.f64 (pow.f64 n #s(literal 10 binary64)) (*.f64 #s(literal 1024 binary64) (pow.f64 (PI.f64) #s(literal 10 binary64))))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(*.f64 (pow.f64 n #s(literal 10 binary64)) (*.f64 #s(literal 1024 binary64) (pow.f64 (PI.f64) #s(literal 10 binary64))))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(*.f64 (pow.f64 n #s(literal 10 binary64)) (*.f64 #s(literal 1024 binary64) (pow.f64 (PI.f64) #s(literal 10 binary64))))
(* 1024 (* (pow n 10) (pow (PI) 10)))
(*.f64 (pow.f64 n #s(literal 10 binary64)) (*.f64 #s(literal 1024 binary64) (pow.f64 (PI.f64) #s(literal 10 binary64))))
(* -1/2 k)
(*.f64 k #s(literal -1/2 binary64))
(* -1/2 k)
(*.f64 k #s(literal -1/2 binary64))
(* -1/2 k)
(*.f64 k #s(literal -1/2 binary64))
(* -1/2 k)
(*.f64 k #s(literal -1/2 binary64))
k
k
k
k
(* -1 k)
(neg.f64 k)
(* -1 k)
(neg.f64 k)
(* -1 k)
(neg.f64 k)
(* -1 k)
(neg.f64 k)
(* 128 (* (pow n 7) (pow (PI) 7)))
(*.f64 (pow.f64 n #s(literal 7 binary64)) (*.f64 #s(literal 128 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))))
(* 128 (* (pow n 7) (pow (PI) 7)))
(*.f64 (pow.f64 n #s(literal 7 binary64)) (*.f64 #s(literal 128 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))))
(* 128 (* (pow n 7) (pow (PI) 7)))
(*.f64 (pow.f64 n #s(literal 7 binary64)) (*.f64 #s(literal 128 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))))
(* 128 (* (pow n 7) (pow (PI) 7)))
(*.f64 (pow.f64 n #s(literal 7 binary64)) (*.f64 #s(literal 128 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))))
(* 128 (* (pow n 7) (pow (PI) 7)))
(*.f64 (pow.f64 n #s(literal 7 binary64)) (*.f64 #s(literal 128 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))))
(* 128 (* (pow n 7) (pow (PI) 7)))
(*.f64 (pow.f64 n #s(literal 7 binary64)) (*.f64 #s(literal 128 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))))
(* 128 (* (pow n 7) (pow (PI) 7)))
(*.f64 (pow.f64 n #s(literal 7 binary64)) (*.f64 #s(literal 128 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))))
(* 128 (* (pow n 7) (pow (PI) 7)))
(*.f64 (pow.f64 n #s(literal 7 binary64)) (*.f64 #s(literal 128 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))))
(* 128 (* (pow n 7) (pow (PI) 7)))
(*.f64 (pow.f64 n #s(literal 7 binary64)) (*.f64 #s(literal 128 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))))
(* 128 (* (pow n 7) (pow (PI) 7)))
(*.f64 (pow.f64 n #s(literal 7 binary64)) (*.f64 #s(literal 128 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))))
(* 128 (* (pow n 7) (pow (PI) 7)))
(*.f64 (pow.f64 n #s(literal 7 binary64)) (*.f64 #s(literal 128 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))))
(* 128 (* (pow n 7) (pow (PI) 7)))
(*.f64 (pow.f64 n #s(literal 7 binary64)) (*.f64 #s(literal 128 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))))
(* 128 (* (pow n 7) (pow (PI) 7)))
(*.f64 (pow.f64 n #s(literal 7 binary64)) (*.f64 #s(literal 128 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))))
(* 128 (* (pow n 7) (pow (PI) 7)))
(*.f64 (pow.f64 n #s(literal 7 binary64)) (*.f64 #s(literal 128 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))))
(* 128 (* (pow n 7) (pow (PI) 7)))
(*.f64 (pow.f64 n #s(literal 7 binary64)) (*.f64 #s(literal 128 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))))
(* 128 (* (pow n 7) (pow (PI) 7)))
(*.f64 (pow.f64 n #s(literal 7 binary64)) (*.f64 #s(literal 128 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))))
(* 128 (* (pow n 7) (pow (PI) 7)))
(*.f64 (pow.f64 n #s(literal 7 binary64)) (*.f64 #s(literal 128 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))))
(* 128 (* (pow n 7) (pow (PI) 7)))
(*.f64 (pow.f64 n #s(literal 7 binary64)) (*.f64 #s(literal 128 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))))
(* 128 (* (pow n 7) (pow (PI) 7)))
(*.f64 (pow.f64 n #s(literal 7 binary64)) (*.f64 #s(literal 128 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))))
(* 128 (* (pow n 7) (pow (PI) 7)))
(*.f64 (pow.f64 n #s(literal 7 binary64)) (*.f64 #s(literal 128 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))))
(* 128 (* (pow n 7) (pow (PI) 7)))
(*.f64 (pow.f64 n #s(literal 7 binary64)) (*.f64 #s(literal 128 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))))
(* 128 (* (pow n 7) (pow (PI) 7)))
(*.f64 (pow.f64 n #s(literal 7 binary64)) (*.f64 #s(literal 128 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))))
(* 128 (* (pow n 7) (pow (PI) 7)))
(*.f64 (pow.f64 n #s(literal 7 binary64)) (*.f64 #s(literal 128 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))))
(* 128 (* (pow n 7) (pow (PI) 7)))
(*.f64 (pow.f64 n #s(literal 7 binary64)) (*.f64 #s(literal 128 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))))

eval323.0ms (2.7%)

Memory
31.3MiB live, 683.8MiB allocated
Compiler

Compiled 44 465 to 4 911 computations (89% saved)

prune564.0ms (4.6%)

Memory
-208.6MiB live, 588.8MiB allocated
Pruning

50 alts after pruning (48 fresh and 2 done)

PrunedKeptTotal
New2 526352 561
Fresh91322
Picked325
Done000
Total2 538502 588
Accuracy
100.0%
Counts
2 588 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
47.1%
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) n))))
▶47.1%
(/.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
37.8%
(/.f64 (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) (sqrt.f64 #s(literal 1/2 binary64)))
99.3%
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (sqrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k) k)))
47.2%
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (sqrt.f64 k))
46.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 n)))
47.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 (PI.f64) n))) (sqrt.f64 #s(literal 2 binary64))))
47.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (PI.f64)))) (sqrt.f64 n)))
▶47.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k))))
37.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (*.f64 (PI.f64) n) k))))
38.5%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) n))) (sqrt.f64 #s(literal 2 binary64))))
47.1%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) (PI.f64)))) (sqrt.f64 n)))
47.1%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) n))))
99.5%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
47.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
47.1%
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) n))) (sqrt.f64 k)))
47.2%
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) n)))))
38.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 k (*.f64 #s(literal 2 binary64) n)) (PI.f64))))
✓38.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))))
99.5%
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
76.9%
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)))
▶99.6%
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (PI.f64) n)))
47.0%
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k)) (sqrt.f64 (PI.f64)))
99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (-.f64 #s(literal 1 binary64) k)))
47.1%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
▶47.1%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64))))
47.1%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 n #s(literal 2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))))
47.0%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 n) (sqrt.f64 #s(literal 2 binary64)))))
10.5%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 n)))
47.1%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))
47.1%
(*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
47.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (PI.f64) n)))
47.1%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (sqrt.f64 (*.f64 (PI.f64) n))) (sqrt.f64 #s(literal 2 binary64)))
37.9%
(*.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) n) k)) (sqrt.f64 #s(literal 2 binary64)))
✓99.6%
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) k)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))))
47.1%
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) k)) (sqrt.f64 (*.f64 (PI.f64) n)))
47.1%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))
37.8%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (sqrt.f64 (/.f64 n k)))
47.2%
(*.f64 (sqrt.f64 n) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) k)))
37.9%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))))
76.5%
(sqrt.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)))
38.0%
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 k (*.f64 (PI.f64) n))))
37.8%
(sqrt.f64 (*.f64 (/.f64 (*.f64 n (sqrt.f64 (PI.f64))) k) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
38.0%
(sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 (PI.f64) n)))
38.0%
(sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (PI.f64)) n))
38.0%
(sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) n) (PI.f64)))
37.8%
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 n k))))
38.1%
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 #s(literal 2 binary64) n) k)))
▶38.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))))
Compiler

Compiled 1 367 to 1 076 computations (21.3% saved)

simplify21.0ms (0.2%)

Memory
-12.7MiB live, 25.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (PI.f64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k))))
✓cost-diff1088
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k)))
✓cost-diff0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(sqrt.f64 k)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) n)
✓cost-diff0
(sqrt.f64 (*.f64 (PI.f64) n))
✓cost-diff0
(/.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
✓cost-diff0
(/.f64 (PI.f64) k)
✓cost-diff0
(*.f64 n (/.f64 (PI.f64) k))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k)))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
✓cost-diff0
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))
✓cost-diff0
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
✓cost-diff0
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (PI.f64) n)))
Rules
284×lower-*.f32
264×lower-*.f64
182×times-frac
156×lower-/.f32
140×lower-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033216
060216
189210
2140210
3221208
4335208
5465208
6514208
7519208
8530208
9537208
0537208
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (PI.f64) n)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
#s(literal 2 binary64)
(*.f64 (PI.f64) n)
(PI.f64)
n
(*.f64 k #s(literal -1/2 binary64))
k
#s(literal -1/2 binary64)
(sqrt.f64 (*.f64 k #s(literal 1/2 binary64)))
(*.f64 k #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 (PI.f64) n))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))))
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k)))
#s(literal 2 binary64)
(*.f64 n (/.f64 (PI.f64) k))
n
(/.f64 (PI.f64) k)
(PI.f64)
k
(/.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (PI.f64) n))
(*.f64 (PI.f64) n)
(PI.f64)
n
(sqrt.f64 (*.f64 k #s(literal 1/2 binary64)))
(*.f64 k #s(literal 1/2 binary64))
k
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
#s(literal 1 binary64)
(sqrt.f64 k)
k
(*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (PI.f64) n))
(*.f64 (PI.f64) n)
(PI.f64)
n
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k))))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(PI.f64)
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k))
(sqrt.f64 (*.f64 #s(literal 2 binary64) n))
(*.f64 #s(literal 2 binary64) n)
#s(literal 2 binary64)
n
(sqrt.f64 k)
k
Outputs
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (PI.f64) n)))
(/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) n))) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
#s(literal 2 binary64)
(*.f64 (PI.f64) n)
(PI.f64)
n
(*.f64 k #s(literal -1/2 binary64))
k
#s(literal -1/2 binary64)
(sqrt.f64 (*.f64 k #s(literal 1/2 binary64)))
(*.f64 k #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 (PI.f64) n))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k))
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)
#s(literal 2 binary64)
(*.f64 n (/.f64 (PI.f64) k))
(/.f64 (*.f64 (PI.f64) n) k)
n
(/.f64 (PI.f64) k)
(PI.f64)
k
(/.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (PI.f64) n))
(*.f64 (PI.f64) n)
(PI.f64)
n
(sqrt.f64 (*.f64 k #s(literal 1/2 binary64)))
(*.f64 k #s(literal 1/2 binary64))
k
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 k))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
#s(literal 1 binary64)
(sqrt.f64 k)
k
(*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (PI.f64) n))
(*.f64 (PI.f64) n)
(PI.f64)
n
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 k)))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k)))
(/.f64 (sqrt.f64 k) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) n))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(PI.f64)
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k))
(sqrt.f64 (*.f64 #s(literal 2 binary64) n))
(*.f64 #s(literal 2 binary64) n)
#s(literal 2 binary64)
n
(sqrt.f64 k)
k

localize131.0ms (1.1%)

Memory
23.3MiB live, 210.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy5.1%
(*.f64 #s(literal 2 binary64) n)
✓accuracy5.1%
(PI.f64)
✓accuracy5.1%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
✓accuracy4.5%
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k))
✓accuracy6.5%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy5.1%
(PI.f64)
✓accuracy5.1%
(*.f64 (PI.f64) n)
✓accuracy4.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
✓accuracy6.5%
(/.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
✓accuracy5.1%
(PI.f64)
✓accuracy5.1%
(*.f64 (PI.f64) n)
✓accuracy1.6%
(*.f64 k #s(literal 1/2 binary64))
✓accuracy29.2%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))))
✓accuracy6.5%
(/.f64 (PI.f64) k)
✓accuracy5.3%
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k)))
✓accuracy5.1%
(PI.f64)
✓accuracy4.3%
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
✓accuracy1.8%
(*.f64 k #s(literal -1/2 binary64))
✓accuracy1.7%
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))
✓accuracy1.6%
(*.f64 k #s(literal 1/2 binary64))
Samples
76.0ms256×0valid
Compiler

Compiled 436 to 68 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 18.0ms (34.4% of total)
ival-div: 17.0ms (32.5% of total)
ival-sqrt: 11.0ms (21.1% of total)
ival-pow: 4.0ms (7.7% of total)
ival-pi: 1.0ms (1.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series82.0ms (0.7%)

Memory
21.5MiB live, 143.2MiB allocated
Counts
24 → 384
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (PI.f64) n)))>
#<alt (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))>
#<alt (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k)))>
#<alt (*.f64 n (/.f64 (PI.f64) k))>
#<alt (/.f64 (PI.f64) k)>
#<alt (/.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))>
#<alt (sqrt.f64 (*.f64 (PI.f64) n))>
#<alt (*.f64 (PI.f64) n)>
#<alt (PI.f64)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 k))>
#<alt (sqrt.f64 k)>
#<alt (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k))))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))>
#<alt (sqrt.f64 (PI.f64))>
#<alt (*.f64 k #s(literal 1/2 binary64))>
#<alt (*.f64 k #s(literal -1/2 binary64))>
#<alt (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k))>
#<alt (*.f64 #s(literal 2 binary64) n)>
Outputs
#<alt (* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))>
#<alt (* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))>
#<alt (* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))>
#<alt (* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (/ 1 (sqrt 1/2))))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (/ 1 (sqrt 1/2))))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (/ 1 (sqrt 1/2))))>
#<alt (* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (/ 1 (sqrt 1/2))))>
#<alt (* -4096 (* (sqrt (/ (* (pow n 25) (pow (PI) 25)) k)) (/ (pow (sqrt -1) 2) (sqrt 1/2))))>
#<alt (* -4096 (* (sqrt (/ (* (pow n 25) (pow (PI) 25)) k)) (/ (pow (sqrt -1) 2) (sqrt 1/2))))>
#<alt (* -4096 (* (sqrt (/ (* (pow n 25) (pow (PI) 25)) k)) (/ (pow (sqrt -1) 2) (sqrt 1/2))))>
#<alt (* -4096 (* (sqrt (/ (* (pow n 25) (pow (PI) 25)) k)) (/ (pow (sqrt -1) 2) (sqrt 1/2))))>
#<alt (* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))>
#<alt (* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))>
#<alt (* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))>
#<alt (* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))>
#<alt (* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))>
#<alt (* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))>
#<alt (* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))>
#<alt (* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))>
#<alt (* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ (sqrt -1) (sqrt -1/2))))>
#<alt (* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ (sqrt -1) (sqrt -1/2))))>
#<alt (* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ (sqrt -1) (sqrt -1/2))))>
#<alt (* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ (sqrt -1) (sqrt -1/2))))>
#<alt (* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))>
#<alt (* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))>
#<alt (* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))>
#<alt (* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))>
#<alt (* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))>
#<alt (* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))>
#<alt (* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))>
#<alt (* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))>
#<alt (* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))>
#<alt (* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))>
#<alt (* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))>
#<alt (* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))>
#<alt (* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))>
#<alt (* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))>
#<alt (* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))>
#<alt (* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))>
#<alt (* 256 (* (sqrt (/ 1 k)) (/ (* (pow n 8) (pow (PI) 8)) (sqrt 1/2))))>
#<alt (* 256 (* (sqrt (/ 1 k)) (/ (* (pow n 8) (pow (PI) 8)) (sqrt 1/2))))>
#<alt (* 256 (* (sqrt (/ 1 k)) (/ (* (pow n 8) (pow (PI) 8)) (sqrt 1/2))))>
#<alt (* 256 (* (sqrt (/ 1 k)) (/ (* (pow n 8) (pow (PI) 8)) (sqrt 1/2))))>
#<alt (* 256 (* (sqrt (/ 1 k)) (/ (* (pow n 8) (* (pow (PI) 8) (sqrt -1))) (sqrt -1/2))))>
#<alt (* 256 (* (sqrt (/ 1 k)) (/ (* (pow n 8) (* (pow (PI) 8) (sqrt -1))) (sqrt -1/2))))>
#<alt (* 256 (* (sqrt (/ 1 k)) (/ (* (pow n 8) (* (pow (PI) 8) (sqrt -1))) (sqrt -1/2))))>
#<alt (* 256 (* (sqrt (/ 1 k)) (/ (* (pow n 8) (* (pow (PI) 8) (sqrt -1))) (sqrt -1/2))))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 128 (* (pow n 7) (pow (PI) 7)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* 2 (* n (PI)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1)))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (* 2 (/ (* n (PI)) k))>
#<alt (/ (* n (PI)) k)>
#<alt (/ (* n (PI)) k)>
#<alt (/ (* n (PI)) k)>
#<alt (/ (* n (PI)) k)>
#<alt (/ (* n (PI)) k)>
#<alt (/ (* n (PI)) k)>
#<alt (/ (* n (PI)) k)>
#<alt (/ (* n (PI)) k)>
#<alt (/ (* n (PI)) k)>
#<alt (/ (* n (PI)) k)>
#<alt (/ (* n (PI)) k)>
#<alt (/ (* n (PI)) k)>
#<alt (/ (* n (PI)) k)>
#<alt (/ (* n (PI)) k)>
#<alt (/ (* n (PI)) k)>
#<alt (/ (* n (PI)) k)>
#<alt (/ (* n (PI)) k)>
#<alt (/ (* n (PI)) k)>
#<alt (/ (* n (PI)) k)>
#<alt (/ (* n (PI)) k)>
#<alt (/ (* n (PI)) k)>
#<alt (/ (* n (PI)) k)>
#<alt (/ (* n (PI)) k)>
#<alt (/ (* n (PI)) k)>
#<alt (/ 1 k)>
#<alt (/ 1 k)>
#<alt (/ 1 k)>
#<alt (/ 1 k)>
#<alt (/ (PI) k)>
#<alt (/ (PI) k)>
#<alt (/ (PI) k)>
#<alt (/ (PI) k)>
#<alt (/ (PI) k)>
#<alt (/ (PI) k)>
#<alt (/ (PI) k)>
#<alt (/ (PI) k)>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (/ (pow (sqrt -1) 2) (sqrt 1/2))))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (/ (pow (sqrt -1) 2) (sqrt 1/2))))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (/ (pow (sqrt -1) 2) (sqrt 1/2))))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (/ (pow (sqrt -1) 2) (sqrt 1/2))))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ (sqrt -1) (sqrt -1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ (sqrt -1) (sqrt -1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ (sqrt -1) (sqrt -1/2)))>
#<alt (* (sqrt (/ (* n (PI)) k)) (/ (sqrt -1) (sqrt -1/2)))>
#<alt (sqrt (* n (PI)))>
#<alt (sqrt (* n (PI)))>
#<alt (sqrt (* n (PI)))>
#<alt (sqrt (* n (PI)))>
#<alt (sqrt n)>
#<alt (sqrt n)>
#<alt (sqrt n)>
#<alt (sqrt n)>
#<alt (* -1 (* (sqrt n) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt n) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt n) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt n) (pow (sqrt -1) 2)))>
#<alt (* n (PI))>
#<alt (* n (PI))>
#<alt (* n (PI))>
#<alt (* n (PI))>
#<alt n>
#<alt n>
#<alt n>
#<alt n>
#<alt (* n (PI))>
#<alt (* n (PI))>
#<alt (* n (PI))>
#<alt (* n (PI))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt (/ 1 k))>
#<alt (sqrt k)>
#<alt (sqrt k)>
#<alt (sqrt k)>
#<alt (sqrt k)>
#<alt (sqrt k)>
#<alt (sqrt k)>
#<alt (sqrt k)>
#<alt (sqrt k)>
#<alt (* -1 (* (sqrt k) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt k) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt k) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt k) (pow (sqrt -1) 2)))>
#<alt (* (sqrt (* n (PI))) (sqrt 2))>
#<alt (* (sqrt (* n (PI))) (sqrt 2))>
#<alt (* (sqrt (* n (PI))) (sqrt 2))>
#<alt (* (sqrt (* n (PI))) (sqrt 2))>
#<alt (* (sqrt n) (sqrt 2))>
#<alt (* (sqrt n) (sqrt 2))>
#<alt (* (sqrt n) (sqrt 2))>
#<alt (* (sqrt n) (sqrt 2))>
#<alt (* -1 (* (sqrt n) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* (sqrt n) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* (sqrt n) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* (sqrt n) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* (sqrt (/ 1 (* n (PI)))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ 1 (* n (PI)))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ 1 (* n (PI)))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ 1 (* n (PI)))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ k (* n (PI)))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ k (* n (PI)))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ k (* n (PI)))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ k (* n (PI)))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ k (* n (PI)))) (/ (sqrt -1) (sqrt -2)))>
#<alt (* (sqrt (/ k (* n (PI)))) (/ (sqrt -1) (sqrt -2)))>
#<alt (* (sqrt (/ k (* n (PI)))) (/ (sqrt -1) (sqrt -2)))>
#<alt (* (sqrt (/ k (* n (PI)))) (/ (sqrt -1) (sqrt -2)))>
#<alt (* (sqrt (/ 1 (* n (PI)))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ 1 (* n (PI)))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ 1 (* n (PI)))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ 1 (* n (PI)))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ k (* n (PI)))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ k (* n (PI)))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ k (* n (PI)))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ k (* n (PI)))) (/ 1 (sqrt 2)))>
#<alt (* -1 (* (sqrt (/ k (* n (PI)))) (/ (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* (sqrt (/ k (* n (PI)))) (/ (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* (sqrt (/ k (* n (PI)))) (/ (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* (sqrt (/ k (* n (PI)))) (/ (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* (sqrt (/ (* n (PI)) k)) (sqrt 2))>
#<alt (* 1/2 k)>
#<alt (* 1/2 k)>
#<alt (* 1/2 k)>
#<alt (* 1/2 k)>
#<alt k>
#<alt k>
#<alt k>
#<alt k>
#<alt (* -1 k)>
#<alt (* -1 k)>
#<alt (* -1 k)>
#<alt (* -1 k)>
#<alt (* -1/2 k)>
#<alt (* -1/2 k)>
#<alt (* -1/2 k)>
#<alt (* -1/2 k)>
#<alt k>
#<alt k>
#<alt k>
#<alt k>
#<alt (* -1 k)>
#<alt (* -1 k)>
#<alt (* -1 k)>
#<alt (* -1 k)>
#<alt (* (sqrt (/ n k)) (sqrt 2))>
#<alt (* (sqrt (/ n k)) (sqrt 2))>
#<alt (* (sqrt (/ n k)) (sqrt 2))>
#<alt (* (sqrt (/ n k)) (sqrt 2))>
#<alt (* (sqrt (/ n k)) (sqrt 2))>
#<alt (* (sqrt (/ n k)) (sqrt 2))>
#<alt (* (sqrt (/ n k)) (sqrt 2))>
#<alt (* (sqrt (/ n k)) (sqrt 2))>
#<alt (* -1 (* (sqrt (/ n k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ n k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ n k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ n k)) (* (sqrt -2) (sqrt -1))))>
#<alt (* (sqrt (/ n k)) (sqrt 2))>
#<alt (* (sqrt (/ n k)) (sqrt 2))>
#<alt (* (sqrt (/ n k)) (sqrt 2))>
#<alt (* (sqrt (/ n k)) (sqrt 2))>
#<alt (* (sqrt (/ n k)) (sqrt 2))>
#<alt (* (sqrt (/ n k)) (sqrt 2))>
#<alt (* (sqrt (/ n k)) (sqrt 2))>
#<alt (* (sqrt (/ n k)) (sqrt 2))>
#<alt (* (sqrt (/ n k)) (sqrt 2))>
#<alt (* (sqrt (/ n k)) (sqrt 2))>
#<alt (* (sqrt (/ n k)) (sqrt 2))>
#<alt (* (sqrt (/ n k)) (sqrt 2))>
#<alt (* 2 n)>
#<alt (* 2 n)>
#<alt (* 2 n)>
#<alt (* 2 n)>
#<alt n>
#<alt n>
#<alt n>
#<alt n>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
Calls

96 calls:

TimeVariablePointExpression
8.0ms
n
@0
(/ (pow (* 2 (* (PI) n)) (* k -1/2)) (sqrt (* k 1/2)))
4.0ms
n
@-inf
(/ (/ 1 (sqrt (PI))) (/ (sqrt (* 2 n)) (sqrt k)))
4.0ms
k
@-inf
(* 2 (* n (/ (PI) k)))
2.0ms
n
@-inf
(* (/ (pow (* 2 (* (PI) n)) (* k -1/2)) (sqrt (* k 1/2))) (sqrt (* (PI) n)))
2.0ms
n
@0
(* (/ (pow (* 2 (* (PI) n)) (* k -1/2)) (sqrt (* k 1/2))) (sqrt (* (PI) n)))
Compiler

Compiled 994 to 803 computations (19.2% saved)

rewrite275.0ms (2.3%)

Memory
4.5MiB live, 359.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 166×lower-*.f32
6 146×lower-*.f64
3 412×lower-/.f32
3 396×lower-/.f64
1 244×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033160
060146
1184141
2972137
08410137
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 1 964
Calls
Call 1
Inputs
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (PI.f64) n)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))))
(*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k)))
(*.f64 n (/.f64 (PI.f64) k))
(/.f64 (PI.f64) k)
(/.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (PI.f64) n))
(*.f64 (PI.f64) n)
(PI.f64)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 k))
(sqrt.f64 k)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(*.f64 k #s(literal 1/2 binary64))
(*.f64 k #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k))
(*.f64 #s(literal 2 binary64) n)
Outputs
(neg.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))) (sqrt.f64 (*.f64 (PI.f64) n))))
(neg.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) k)))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 k #s(literal 1/2 binary64)))))))
(neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) n))) (neg.f64 (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 (PI.f64) n)))) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64)))))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 k (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) n)))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (*.f64 (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))) (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) k))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 k (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) n)))) (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 k (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) n)))) (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 (*.f64 (PI.f64) n) k)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (*.f64 k (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) n)))) (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) n))) (*.f64 (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal 1/2 binary64))))))
(/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) k)) (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) n) k)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) n))) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
(/.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 (PI.f64) n)))) (neg.f64 (sqrt.f64 (*.f64 k #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 (*.f64 (PI.f64) n) k))) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal -1/2 binary64))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (*.f64 k (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) n))))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 (PI.f64) n))))) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 (*.f64 (PI.f64) n) k)))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (/.f64 (sqrt.f64 k) (pow.f64 #s(literal 2 binary64) (*.f64 k #s(literal -1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (*.f64 (PI.f64) n) (*.f64 k #s(literal -1/2 binary64)))))
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(exp.f64 (*.f64 (log.f64 (/.f64 n (*.f64 k #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) n)))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 k)) #s(literal -1 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) n)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) n)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 k)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) n)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 k))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (/.f64 n (*.f64 k #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 k))) (neg.f64 (sqrt.f64 (/.f64 n (*.f64 k #s(literal 1/2 binary64))))))
(sqrt.f64 (/.f64 n (*.f64 k #s(literal 1/2 binary64))))
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 n (*.f64 k #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) n))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k))
(/.f64 (sqrt.f64 (/.f64 n (*.f64 k #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) n)))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n))) (neg.f64 (sqrt.f64 k)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n))) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 k))))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 n (*.f64 k #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 n) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 n)) (neg.f64 (sqrt.f64 (*.f64 k #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 k)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 k))))
(/.f64 (sqrt.f64 (/.f64 n k)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 n #s(literal -2 binary64))) (sqrt.f64 (neg.f64 k)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 k)))
(/.f64 (*.f64 (sqrt.f64 n) #s(literal 1 binary64)) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
(/.f64 (*.f64 (sqrt.f64 n) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (*.f64 k #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 k)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) #s(literal -1 binary64))) (sqrt.f64 k))
(/.f64 (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 k #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 k #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (pow.f64 k #s(literal 1/4 binary64))) (pow.f64 k #s(literal 1/4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) n)))) (neg.f64 (sqrt.f64 k)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 k))
(pow.f64 (sqrt.f64 (/.f64 n (*.f64 k #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 n (*.f64 k #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) n))) #s(literal -1 binary64))
(pow.f64 (/.f64 k (*.f64 #s(literal 2 binary64) n)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 n (*.f64 k #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (/.f64 n k) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 n k)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 n)) (/.f64 #s(literal -1 binary64) (sqrt.f64 k))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (pow.f64 (/.f64 #s(literal 1 binary64) k) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
(*.f64 (sqrt.f64 (/.f64 n (*.f64 k #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 n (*.f64 k #s(literal 1/2 binary64))))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal -1 binary64) (sqrt.f64 k)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 n (*.f64 k #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64)))) (sqrt.f64 n))
(*.f64 (sqrt.f64 n) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 n) (pow.f64 (/.f64 #s(literal 2 binary64) k) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 n) (sqrt.f64 (/.f64 #s(literal 2 binary64) k)))
(*.f64 (sqrt.f64 n) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 k)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 k)) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) n) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) n) #s(literal 1/4 binary64)) (sqrt.f64 k)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) n) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) n) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 k))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 n k))))
(*.f64 (pow.f64 k #s(literal -1/4 binary64)) (*.f64 (pow.f64 k #s(literal -1/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) n))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 n) (neg.f64 (sqrt.f64 k))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 n) (/.f64 #s(literal -1 binary64) (sqrt.f64 k))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 k)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) n))) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) n))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) n))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 k)))
(*.f64 (sqrt.f64 (/.f64 n k)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 n)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 n) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 n) (pow.f64 k #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 k #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 k #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 n) (pow.f64 k #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 k)) (sqrt.f64 n))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 k)) (/.f64 (sqrt.f64 n) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (pow.f64 k #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 k #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) n) #s(literal 1/4 binary64)) (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) n) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 n)) (sqrt.f64 k)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 k)))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) n) #s(literal 1/4 binary64)) (pow.f64 k #s(literal 1/4 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) n) #s(literal 1/4 binary64)) (pow.f64 k #s(literal 1/4 binary64))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (sqrt.f64 (/.f64 n k)))
(*.f64 (pow.f64 (/.f64 n (*.f64 k #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 n (*.f64 k #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 k #s(literal -1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) n) #s(literal 1/4 binary64))) (*.f64 (pow.f64 k #s(literal -1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) n) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) n) #s(literal 1/4 binary64)) (pow.f64 k #s(literal -1/4 binary64))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) n) #s(literal 1/4 binary64)) (pow.f64 k #s(literal -1/4 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 #s(literal 2 binary64) n) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) n) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (pow.f64 k #s(literal -1/4 binary64))) (pow.f64 k #s(literal -1/4 binary64)))
(/.f64 n #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n))
(/.f64 (neg.f64 n) #s(literal -1/2 binary64))
(*.f64 #s(literal 2 binary64) n)
(*.f64 n #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))

simplify285.0ms (2.3%)

Memory
-42.6MiB live, 337.4MiB allocated
Algorithm
1×egg-herbie
Rules
4 078×lower-*.f64
4 078×lower-*.f32
2 042×lower-fma.f64
2 042×lower-fma.f32
1 548×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01253128
12773004
27032996
314872996
423742996
549212996
666512996
778852996
081422996
Stop Event
1×iter limit
1×node limit
Counts
384 → 368
Calls
Call 1
Inputs
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (/ 1 (sqrt 1/2))))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (/ 1 (sqrt 1/2))))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (/ 1 (sqrt 1/2))))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (/ 1 (sqrt 1/2))))
(* -4096 (* (sqrt (/ (* (pow n 25) (pow (PI) 25)) k)) (/ (pow (sqrt -1) 2) (sqrt 1/2))))
(* -4096 (* (sqrt (/ (* (pow n 25) (pow (PI) 25)) k)) (/ (pow (sqrt -1) 2) (sqrt 1/2))))
(* -4096 (* (sqrt (/ (* (pow n 25) (pow (PI) 25)) k)) (/ (pow (sqrt -1) 2) (sqrt 1/2))))
(* -4096 (* (sqrt (/ (* (pow n 25) (pow (PI) 25)) k)) (/ (pow (sqrt -1) 2) (sqrt 1/2))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ (sqrt -1) (sqrt -1/2))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ (sqrt -1) (sqrt -1/2))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ (sqrt -1) (sqrt -1/2))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ (sqrt -1) (sqrt -1/2))))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(* 256 (* (sqrt (/ 1 k)) (/ (* (pow n 8) (pow (PI) 8)) (sqrt 1/2))))
(* 256 (* (sqrt (/ 1 k)) (/ (* (pow n 8) (pow (PI) 8)) (sqrt 1/2))))
(* 256 (* (sqrt (/ 1 k)) (/ (* (pow n 8) (pow (PI) 8)) (sqrt 1/2))))
(* 256 (* (sqrt (/ 1 k)) (/ (* (pow n 8) (pow (PI) 8)) (sqrt 1/2))))
(* 256 (* (sqrt (/ 1 k)) (/ (* (pow n 8) (* (pow (PI) 8) (sqrt -1))) (sqrt -1/2))))
(* 256 (* (sqrt (/ 1 k)) (/ (* (pow n 8) (* (pow (PI) 8) (sqrt -1))) (sqrt -1/2))))
(* 256 (* (sqrt (/ 1 k)) (/ (* (pow n 8) (* (pow (PI) 8) (sqrt -1))) (sqrt -1/2))))
(* 256 (* (sqrt (/ 1 k)) (/ (* (pow n 8) (* (pow (PI) 8) (sqrt -1))) (sqrt -1/2))))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 128 (* (pow n 7) (pow (PI) 7)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* 2 (* n (PI)))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1)))
(* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1)))
(* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1)))
(* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1)))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(* 2 (/ (* n (PI)) k))
(/ (* n (PI)) k)
(/ (* n (PI)) k)
(/ (* n (PI)) k)
(/ (* n (PI)) k)
(/ (* n (PI)) k)
(/ (* n (PI)) k)
(/ (* n (PI)) k)
(/ (* n (PI)) k)
(/ (* n (PI)) k)
(/ (* n (PI)) k)
(/ (* n (PI)) k)
(/ (* n (PI)) k)
(/ (* n (PI)) k)
(/ (* n (PI)) k)
(/ (* n (PI)) k)
(/ (* n (PI)) k)
(/ (* n (PI)) k)
(/ (* n (PI)) k)
(/ (* n (PI)) k)
(/ (* n (PI)) k)
(/ (* n (PI)) k)
(/ (* n (PI)) k)
(/ (* n (PI)) k)
(/ (* n (PI)) k)
(/ 1 k)
(/ 1 k)
(/ 1 k)
(/ 1 k)
(/ (PI) k)
(/ (PI) k)
(/ (PI) k)
(/ (PI) k)
(/ (PI) k)
(/ (PI) k)
(/ (PI) k)
(/ (PI) k)
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* -1 (* (sqrt (/ (* n (PI)) k)) (/ (pow (sqrt -1) 2) (sqrt 1/2))))
(* -1 (* (sqrt (/ (* n (PI)) k)) (/ (pow (sqrt -1) 2) (sqrt 1/2))))
(* -1 (* (sqrt (/ (* n (PI)) k)) (/ (pow (sqrt -1) 2) (sqrt 1/2))))
(* -1 (* (sqrt (/ (* n (PI)) k)) (/ (pow (sqrt -1) 2) (sqrt 1/2))))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ 1 (sqrt 1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ (* n (PI)) k)) (/ (sqrt -1) (sqrt -1/2)))
(sqrt (* n (PI)))
(sqrt (* n (PI)))
(sqrt (* n (PI)))
(sqrt (* n (PI)))
(sqrt n)
(sqrt n)
(sqrt n)
(sqrt n)
(* -1 (* (sqrt n) (pow (sqrt -1) 2)))
(* -1 (* (sqrt n) (pow (sqrt -1) 2)))
(* -1 (* (sqrt n) (pow (sqrt -1) 2)))
(* -1 (* (sqrt n) (pow (sqrt -1) 2)))
(* n (PI))
(* n (PI))
(* n (PI))
(* n (PI))
n
n
n
n
(* n (PI))
(* n (PI))
(* n (PI))
(* n (PI))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* -1 (* (sqrt (/ (* n (PI)) k)) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt (/ (* n (PI)) k)) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt (/ (* n (PI)) k)) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt (/ (* n (PI)) k)) (* (pow (sqrt -1) 2) (sqrt 2))))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt (/ 1 k))
(sqrt k)
(sqrt k)
(sqrt k)
(sqrt k)
(sqrt k)
(sqrt k)
(sqrt k)
(sqrt k)
(* -1 (* (sqrt k) (pow (sqrt -1) 2)))
(* -1 (* (sqrt k) (pow (sqrt -1) 2)))
(* -1 (* (sqrt k) (pow (sqrt -1) 2)))
(* -1 (* (sqrt k) (pow (sqrt -1) 2)))
(* (sqrt (* n (PI))) (sqrt 2))
(* (sqrt (* n (PI))) (sqrt 2))
(* (sqrt (* n (PI))) (sqrt 2))
(* (sqrt (* n (PI))) (sqrt 2))
(* (sqrt n) (sqrt 2))
(* (sqrt n) (sqrt 2))
(* (sqrt n) (sqrt 2))
(* (sqrt n) (sqrt 2))
(* -1 (* (sqrt n) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt n) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt n) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt n) (* (pow (sqrt -1) 2) (sqrt 2))))
(* (sqrt (/ 1 (* n (PI)))) (/ 1 (sqrt 2)))
(* (sqrt (/ 1 (* n (PI)))) (/ 1 (sqrt 2)))
(* (sqrt (/ 1 (* n (PI)))) (/ 1 (sqrt 2)))
(* (sqrt (/ 1 (* n (PI)))) (/ 1 (sqrt 2)))
(* (sqrt (/ k (* n (PI)))) (/ 1 (sqrt 2)))
(* (sqrt (/ k (* n (PI)))) (/ 1 (sqrt 2)))
(* (sqrt (/ k (* n (PI)))) (/ 1 (sqrt 2)))
(* (sqrt (/ k (* n (PI)))) (/ 1 (sqrt 2)))
(* (sqrt (/ k (* n (PI)))) (/ (sqrt -1) (sqrt -2)))
(* (sqrt (/ k (* n (PI)))) (/ (sqrt -1) (sqrt -2)))
(* (sqrt (/ k (* n (PI)))) (/ (sqrt -1) (sqrt -2)))
(* (sqrt (/ k (* n (PI)))) (/ (sqrt -1) (sqrt -2)))
(* (sqrt (/ 1 (* n (PI)))) (/ 1 (sqrt 2)))
(* (sqrt (/ 1 (* n (PI)))) (/ 1 (sqrt 2)))
(* (sqrt (/ 1 (* n (PI)))) (/ 1 (sqrt 2)))
(* (sqrt (/ 1 (* n (PI)))) (/ 1 (sqrt 2)))
(* (sqrt (/ k (* n (PI)))) (/ 1 (sqrt 2)))
(* (sqrt (/ k (* n (PI)))) (/ 1 (sqrt 2)))
(* (sqrt (/ k (* n (PI)))) (/ 1 (sqrt 2)))
(* (sqrt (/ k (* n (PI)))) (/ 1 (sqrt 2)))
(* -1 (* (sqrt (/ k (* n (PI)))) (/ (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt (/ k (* n (PI)))) (/ (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt (/ k (* n (PI)))) (/ (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt (/ k (* n (PI)))) (/ (pow (sqrt -1) 2) (sqrt 2))))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (/ (* n (PI)) k)) (* (sqrt -2) (sqrt -1))))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* (sqrt (/ (* n (PI)) k)) (sqrt 2))
(* 1/2 k)
(* 1/2 k)
(* 1/2 k)
(* 1/2 k)
k
k
k
k
(* -1 k)
(* -1 k)
(* -1 k)
(* -1 k)
(* -1/2 k)
(* -1/2 k)
(* -1/2 k)
(* -1/2 k)
k
k
k
k
(* -1 k)
(* -1 k)
(* -1 k)
(* -1 k)
(* (sqrt (/ n k)) (sqrt 2))
(* (sqrt (/ n k)) (sqrt 2))
(* (sqrt (/ n k)) (sqrt 2))
(* (sqrt (/ n k)) (sqrt 2))
(* (sqrt (/ n k)) (sqrt 2))
(* (sqrt (/ n k)) (sqrt 2))
(* (sqrt (/ n k)) (sqrt 2))
(* (sqrt (/ n k)) (sqrt 2))
(* -1 (* (sqrt (/ n k)) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (/ n k)) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (/ n k)) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (/ n k)) (* (sqrt -2) (sqrt -1))))
(* (sqrt (/ n k)) (sqrt 2))
(* (sqrt (/ n k)) (sqrt 2))
(* (sqrt (/ n k)) (sqrt 2))
(* (sqrt (/ n k)) (sqrt 2))
(* (sqrt (/ n k)) (sqrt 2))
(* (sqrt (/ n k)) (sqrt 2))
(* (sqrt (/ n k)) (sqrt 2))
(* (sqrt (/ n k)) (sqrt 2))
(* (sqrt (/ n k)) (sqrt 2))
(* (sqrt (/ n k)) (sqrt 2))
(* (sqrt (/ n k)) (sqrt 2))
(* (sqrt (/ n k)) (sqrt 2))
(* 2 n)
(* 2 n)
(* 2 n)
(* 2 n)
n
n
n
n
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
Outputs
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 n #s(literal 19 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 19 binary64)) k))) (/.f64 #s(literal 512 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 n #s(literal 19 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 19 binary64)) k))) (/.f64 #s(literal 512 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 n #s(literal 19 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 19 binary64)) k))) (/.f64 #s(literal 512 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 n #s(literal 19 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 19 binary64)) k))) (/.f64 #s(literal 512 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (/ 1 (sqrt 1/2))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 n #s(literal 21 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 21 binary64)) k))) (/.f64 #s(literal 1024 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (/ 1 (sqrt 1/2))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 n #s(literal 21 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 21 binary64)) k))) (/.f64 #s(literal 1024 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (/ 1 (sqrt 1/2))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 n #s(literal 21 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 21 binary64)) k))) (/.f64 #s(literal 1024 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(* 1024 (* (sqrt (/ (* (pow n 21) (pow (PI) 21)) k)) (/ 1 (sqrt 1/2))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 n #s(literal 21 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 21 binary64)) k))) (/.f64 #s(literal 1024 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(* -4096 (* (sqrt (/ (* (pow n 25) (pow (PI) 25)) k)) (/ (pow (sqrt -1) 2) (sqrt 1/2))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 n #s(literal 25 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 25 binary64)) k))) (/.f64 #s(literal 4096 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(* -4096 (* (sqrt (/ (* (pow n 25) (pow (PI) 25)) k)) (/ (pow (sqrt -1) 2) (sqrt 1/2))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 n #s(literal 25 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 25 binary64)) k))) (/.f64 #s(literal 4096 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(* -4096 (* (sqrt (/ (* (pow n 25) (pow (PI) 25)) k)) (/ (pow (sqrt -1) 2) (sqrt 1/2))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 n #s(literal 25 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 25 binary64)) k))) (/.f64 #s(literal 4096 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(* -4096 (* (sqrt (/ (* (pow n 25) (pow (PI) 25)) k)) (/ (pow (sqrt -1) 2) (sqrt 1/2))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 n #s(literal 25 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 25 binary64)) k))) (/.f64 #s(literal 4096 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 n #s(literal 19 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 19 binary64)) k))) (/.f64 #s(literal 512 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 n #s(literal 19 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 19 binary64)) k))) (/.f64 #s(literal 512 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 n #s(literal 19 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 19 binary64)) k))) (/.f64 #s(literal 512 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 n #s(literal 19 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 19 binary64)) k))) (/.f64 #s(literal 512 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 n #s(literal 19 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 19 binary64)) k))) (/.f64 #s(literal 512 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 n #s(literal 19 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 19 binary64)) k))) (/.f64 #s(literal 512 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 n #s(literal 19 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 19 binary64)) k))) (/.f64 #s(literal 512 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ 1 (sqrt 1/2))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 n #s(literal 19 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 19 binary64)) k))) (/.f64 #s(literal 512 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ (sqrt -1) (sqrt -1/2))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 n #s(literal 19 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 19 binary64)) k))) (/.f64 (*.f64 #s(literal 512 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ (sqrt -1) (sqrt -1/2))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 n #s(literal 19 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 19 binary64)) k))) (/.f64 (*.f64 #s(literal 512 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ (sqrt -1) (sqrt -1/2))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 n #s(literal 19 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 19 binary64)) k))) (/.f64 (*.f64 #s(literal 512 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))
(* 512 (* (sqrt (/ (* (pow n 19) (pow (PI) 19)) k)) (/ (sqrt -1) (sqrt -1/2))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 n #s(literal 19 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 19 binary64)) k))) (/.f64 (*.f64 #s(literal 512 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 10 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (*.f64 #s(literal 1024 binary64) (pow.f64 n #s(literal 10 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 10 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (*.f64 #s(literal 1024 binary64) (pow.f64 n #s(literal 10 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 10 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (*.f64 #s(literal 1024 binary64) (pow.f64 n #s(literal 10 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 10 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (*.f64 #s(literal 1024 binary64) (pow.f64 n #s(literal 10 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 10 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (*.f64 #s(literal 1024 binary64) (pow.f64 n #s(literal 10 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 10 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (*.f64 #s(literal 1024 binary64) (pow.f64 n #s(literal 10 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 10 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (*.f64 #s(literal 1024 binary64) (pow.f64 n #s(literal 10 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 10 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (*.f64 #s(literal 1024 binary64) (pow.f64 n #s(literal 10 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 10 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (*.f64 #s(literal 1024 binary64) (pow.f64 n #s(literal 10 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 10 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (*.f64 #s(literal 1024 binary64) (pow.f64 n #s(literal 10 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 10 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (*.f64 #s(literal 1024 binary64) (pow.f64 n #s(literal 10 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 10 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (*.f64 #s(literal 1024 binary64) (pow.f64 n #s(literal 10 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 10 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (*.f64 #s(literal 1024 binary64) (pow.f64 n #s(literal 10 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 10 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (*.f64 #s(literal 1024 binary64) (pow.f64 n #s(literal 10 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 10 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (*.f64 #s(literal 1024 binary64) (pow.f64 n #s(literal 10 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(* 1024 (* (sqrt (/ 1 k)) (/ (* (pow n 10) (pow (PI) 10)) (sqrt 1/2))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 10 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (*.f64 #s(literal 1024 binary64) (pow.f64 n #s(literal 10 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(* 256 (* (sqrt (/ 1 k)) (/ (* (pow n 8) (pow (PI) 8)) (sqrt 1/2))))
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(* -1 n)
(neg.f64 n)

eval405.0ms (3.3%)

Memory
40.9MiB live, 726.9MiB allocated
Compiler

Compiled 48 224 to 5 718 computations (88.1% saved)

prune427.0ms (3.5%)

Memory
-24.7MiB live, 786.5MiB allocated
Pruning

46 alts after pruning (40 fresh and 6 done)

PrunedKeptTotal
New2 949212 970
Fresh241943
Picked145
Done022
Total2 974463 020
Accuracy
100.0%
Counts
3 020 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
47.0%
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 n)) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
47.2%
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n))) (sqrt.f64 k))
✓47.1%
(/.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
99.3%
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (sqrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k) k)))
47.2%
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 (/.f64 k (PI.f64))))
10.5%
(/.f64 (sqrt.f64 n) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
46.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 n)))
38.5%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) n))) (sqrt.f64 #s(literal 2 binary64))))
4.8%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64))))
47.1%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) n))))
99.5%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
47.1%
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) n))) (sqrt.f64 k)))
38.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 k (*.f64 #s(literal 2 binary64) n)) (PI.f64))))
✓38.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))))
76.9%
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) k)))
99.5%
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
✓99.6%
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (PI.f64) n)))
46.8%
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 (sqrt.f64 k))) (/.f64 (neg.f64 (sqrt.f64 n)) (sqrt.f64 #s(literal 1/2 binary64))))
47.0%
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 k)) (sqrt.f64 (*.f64 (PI.f64) n)))
99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (-.f64 #s(literal 1 binary64) k)))
✓47.1%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64))))
10.5%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 n) (sqrt.f64 #s(literal 2 binary64))))
47.1%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n))))
47.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (PI.f64) n)))
47.1%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (sqrt.f64 (*.f64 (PI.f64) n))) (sqrt.f64 #s(literal 2 binary64)))
47.1%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (PI.f64) k))) (sqrt.f64 n))
37.9%
(*.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) n) k)) (sqrt.f64 #s(literal 2 binary64)))
47.2%
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 k #s(literal 1/2 binary64)))) (sqrt.f64 n))
47.2%
(*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) n)))
✓99.6%
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) k)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))))
47.1%
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) k)) (sqrt.f64 (*.f64 (PI.f64) n)))
37.9%
(*.f64 (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) (sqrt.f64 #s(literal 2 binary64)))
47.1%
(*.f64 (sqrt.f64 n) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 k (PI.f64)))))
47.1%
(*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 k (PI.f64))))))
76.5%
(sqrt.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)))
38.1%
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 k (PI.f64))))
38.0%
(sqrt.f64 (/.f64 (PI.f64) (/.f64 k (*.f64 #s(literal 2 binary64) n))))
38.0%
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 k (*.f64 (PI.f64) n))))
38.1%
(sqrt.f64 (*.f64 (/.f64 n (*.f64 k #s(literal 1/2 binary64))) (PI.f64)))
38.0%
(sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 (PI.f64) n)))
38.0%
(sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) n) (PI.f64)))
37.8%
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 n k))))
37.8%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 n (sqrt.f64 (PI.f64))) k))))
✓38.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))))
9.1%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 #s(literal 1 binary64) k))))
Compiler

Compiled 1 879 to 780 computations (58.5% saved)

regimes156.0ms (1.3%)

Memory
28.2MiB live, 220.6MiB allocated
Counts
101 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 #s(literal 1 binary64) k))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 #s(literal 2 binary64) n) k)))
(sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) n) (PI.f64)))
(sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (PI.f64)) n))
(sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 (PI.f64) n)))
(sqrt.f64 (*.f64 (/.f64 n (*.f64 k #s(literal 1/2 binary64))) (PI.f64)))
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k))
(/.f64 (sqrt.f64 n) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 k (*.f64 (PI.f64) n))))
(sqrt.f64 (/.f64 (PI.f64) (/.f64 k (*.f64 #s(literal 2 binary64) n))))
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 k (PI.f64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 (PI.f64) n) k)))
(*.f64 (sqrt.f64 n) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) k)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (sqrt.f64 (/.f64 n k)))
(*.f64 (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 (/.f64 #s(literal 2 binary64) k)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) k)) (sqrt.f64 (*.f64 (PI.f64) n)))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) n)))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 k #s(literal 1/2 binary64)))) (sqrt.f64 n))
(*.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) n) k)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (sqrt.f64 k))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n))) (sqrt.f64 k))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 (/.f64 k (PI.f64))))
(/.f64 (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 k (*.f64 #s(literal 2 binary64) n)) (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 n k))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (PI.f64) k))) (sqrt.f64 n))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 n)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 n) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 k)) (sqrt.f64 (*.f64 (PI.f64) n)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 n)) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) n))) (sqrt.f64 k)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) n))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 n (sqrt.f64 (PI.f64))) k))))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 n k))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 k (PI.f64))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (sqrt.f64 (*.f64 (PI.f64) n))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (PI.f64) n)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (sqrt.f64 n))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (sqrt.f64 n)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 n #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 n) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 k (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) (PI.f64)))) (sqrt.f64 n)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) n))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) n))))
(sqrt.f64 (*.f64 (/.f64 (*.f64 n (sqrt.f64 (PI.f64))) k) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 n) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 (PI.f64) n))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 n)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (*.f64 (PI.f64) n) k))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (PI.f64)))) (sqrt.f64 n)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 (sqrt.f64 k))) (/.f64 (neg.f64 (sqrt.f64 n)) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 n #s(literal 2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) #s(literal -1/2 binary64))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (*.f64 #s(literal -1/2 binary64) k)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (-.f64 #s(literal 1 binary64) k)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) k)))
(sqrt.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (sqrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k) k)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (+.f64 k #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) k)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 k (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (PI.f64) n)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n))) (/.f64 (+.f64 #s(literal 1 binary64) k) #s(literal -4 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))))
(*.f64 (pow.f64 k #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (*.f64 (PI.f64) n) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (pow.f64 n (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/8 binary64))) #s(literal 4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 (+.f64 #s(literal 1 binary64) k) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
Outputs
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64)))))
Calls

4 calls:

45.0ms
n
44.0ms
k
33.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
29.0ms
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)
Results
AccuracySegmentsBranch
99.7%1k
99.7%1n
99.7%1(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
99.7%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)
Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes117.0ms (1%)

Memory
-6.2MiB live, 196.8MiB allocated
Counts
91 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 #s(literal 1 binary64) k))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 #s(literal 2 binary64) n) k)))
(sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) n) (PI.f64)))
(sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (PI.f64)) n))
(sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 (PI.f64) n)))
(sqrt.f64 (*.f64 (/.f64 n (*.f64 k #s(literal 1/2 binary64))) (PI.f64)))
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k))
(/.f64 (sqrt.f64 n) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 k (*.f64 (PI.f64) n))))
(sqrt.f64 (/.f64 (PI.f64) (/.f64 k (*.f64 #s(literal 2 binary64) n))))
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 k (PI.f64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 (PI.f64) n) k)))
(*.f64 (sqrt.f64 n) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) k)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (sqrt.f64 (/.f64 n k)))
(*.f64 (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 (/.f64 #s(literal 2 binary64) k)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) k)) (sqrt.f64 (*.f64 (PI.f64) n)))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) n)))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 k #s(literal 1/2 binary64)))) (sqrt.f64 n))
(*.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) n) k)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (sqrt.f64 k))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n))) (sqrt.f64 k))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 (/.f64 k (PI.f64))))
(/.f64 (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 k (*.f64 #s(literal 2 binary64) n)) (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 n k))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (PI.f64) k))) (sqrt.f64 n))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 n)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 n) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 k)) (sqrt.f64 (*.f64 (PI.f64) n)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 n)) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) n))) (sqrt.f64 k)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) n))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 n (sqrt.f64 (PI.f64))) k))))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 n k))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 k (PI.f64))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (sqrt.f64 (*.f64 (PI.f64) n))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (PI.f64) n)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (sqrt.f64 n))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (sqrt.f64 n)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 n #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 n) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 k (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) (PI.f64)))) (sqrt.f64 n)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) n))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) n))))
(sqrt.f64 (*.f64 (/.f64 (*.f64 n (sqrt.f64 (PI.f64))) k) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 n) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 (PI.f64) n))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 n)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (*.f64 (PI.f64) n) k))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (PI.f64)))) (sqrt.f64 n)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 (sqrt.f64 k))) (/.f64 (neg.f64 (sqrt.f64 n)) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 n #s(literal 2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) #s(literal -1/2 binary64))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (*.f64 #s(literal -1/2 binary64) k)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (-.f64 #s(literal 1 binary64) k)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) k)))
(sqrt.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (sqrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k) k)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (+.f64 k #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) k)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 k (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (PI.f64) n)))
Outputs
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) k)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))))
Calls

4 calls:

32.0ms
k
28.0ms
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)
28.0ms
n
25.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
99.6%1k
99.6%1n
99.6%1(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
99.6%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)
Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes135.0ms (1.1%)

Memory
18.9MiB live, 177.0MiB allocated
Counts
88 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 #s(literal 1 binary64) k))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 #s(literal 2 binary64) n) k)))
(sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) n) (PI.f64)))
(sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (PI.f64)) n))
(sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 (PI.f64) n)))
(sqrt.f64 (*.f64 (/.f64 n (*.f64 k #s(literal 1/2 binary64))) (PI.f64)))
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k))
(/.f64 (sqrt.f64 n) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 k (*.f64 (PI.f64) n))))
(sqrt.f64 (/.f64 (PI.f64) (/.f64 k (*.f64 #s(literal 2 binary64) n))))
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 k (PI.f64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 (PI.f64) n) k)))
(*.f64 (sqrt.f64 n) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) k)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (sqrt.f64 (/.f64 n k)))
(*.f64 (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 (/.f64 #s(literal 2 binary64) k)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) k)) (sqrt.f64 (*.f64 (PI.f64) n)))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) n)))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 k #s(literal 1/2 binary64)))) (sqrt.f64 n))
(*.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) n) k)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (sqrt.f64 k))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n))) (sqrt.f64 k))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 (/.f64 k (PI.f64))))
(/.f64 (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 k (*.f64 #s(literal 2 binary64) n)) (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 n k))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (PI.f64) k))) (sqrt.f64 n))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 n)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 n) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 k)) (sqrt.f64 (*.f64 (PI.f64) n)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 n)) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) n))) (sqrt.f64 k)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) n))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 n (sqrt.f64 (PI.f64))) k))))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 n k))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 k (PI.f64))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (sqrt.f64 (*.f64 (PI.f64) n))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (PI.f64) n)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (sqrt.f64 n))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (sqrt.f64 n)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 n #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 n) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 k (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) (PI.f64)))) (sqrt.f64 n)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) n))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) n))))
(sqrt.f64 (*.f64 (/.f64 (*.f64 n (sqrt.f64 (PI.f64))) k) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 n) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 (PI.f64) n))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 n)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (*.f64 (PI.f64) n) k))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (PI.f64)))) (sqrt.f64 n)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 (sqrt.f64 k))) (/.f64 (neg.f64 (sqrt.f64 n)) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 n #s(literal 2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) #s(literal -1/2 binary64))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (*.f64 #s(literal -1/2 binary64) k)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) k)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 k)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (-.f64 #s(literal 1 binary64) k)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) (*.f64 k #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n)) k)))
(sqrt.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (-.f64 #s(literal -1/2 binary64) (*.f64 k #s(literal -1/2 binary64))))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (sqrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k) k)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (+.f64 k #s(literal -1 binary64)))))
Outputs
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
Calls

4 calls:

47.0ms
n
34.0ms
k
25.0ms
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)
24.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
99.5%1k
99.5%1n
99.5%1(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
99.5%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)
Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes153.0ms (1.3%)

Memory
-21.6MiB live, 133.4MiB allocated
Counts
71 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 #s(literal 1 binary64) k))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 #s(literal 2 binary64) n) k)))
(sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) n) (PI.f64)))
(sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (PI.f64)) n))
(sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 (PI.f64) n)))
(sqrt.f64 (*.f64 (/.f64 n (*.f64 k #s(literal 1/2 binary64))) (PI.f64)))
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k))
(/.f64 (sqrt.f64 n) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 k (*.f64 (PI.f64) n))))
(sqrt.f64 (/.f64 (PI.f64) (/.f64 k (*.f64 #s(literal 2 binary64) n))))
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 k (PI.f64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 (PI.f64) n) k)))
(*.f64 (sqrt.f64 n) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) k)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (sqrt.f64 (/.f64 n k)))
(*.f64 (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 (/.f64 #s(literal 2 binary64) k)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) k)) (sqrt.f64 (*.f64 (PI.f64) n)))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) n)))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 k #s(literal 1/2 binary64)))) (sqrt.f64 n))
(*.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) n) k)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (sqrt.f64 k))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n))) (sqrt.f64 k))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) n))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 (/.f64 k (PI.f64))))
(/.f64 (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 k (*.f64 #s(literal 2 binary64) n)) (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 n k))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (PI.f64) k))) (sqrt.f64 n))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 n)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 n) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 k)) (sqrt.f64 (*.f64 (PI.f64) n)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 n)) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) n))) (sqrt.f64 k)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) n))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 n (sqrt.f64 (PI.f64))) k))))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 n k))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 k (PI.f64))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (sqrt.f64 (*.f64 (PI.f64) n))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (PI.f64) n)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (sqrt.f64 n))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (sqrt.f64 n)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 n #s(literal 2 binary64))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 n) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 k (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (PI.f64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 k (*.f64 #s(literal 2 binary64) (PI.f64)))) (sqrt.f64 n)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) n))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) n))))
(sqrt.f64 (*.f64 (/.f64 (*.f64 n (sqrt.f64 (PI.f64))) k) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 n) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 (PI.f64) n))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 n)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (*.f64 (PI.f64) n) k))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (PI.f64)))) (sqrt.f64 n)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 (sqrt.f64 k))) (/.f64 (neg.f64 (sqrt.f64 n)) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 k)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) n)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (*.f64 (sqrt.f64 (*.f64 n #s(literal 2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) #s(literal -1/2 binary64))))
Outputs
(*.f64 (sqrt.f64 n) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) k)))
Calls

4 calls:

49.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
47.0ms
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)
31.0ms
k
21.0ms
n
Results
AccuracySegmentsBranch
47.2%1k
47.2%1n
47.2%1(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
47.2%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)
Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes35.0ms (0.3%)

Memory
-6.8MiB live, 31.3MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 #s(literal 1 binary64) k))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 #s(literal 2 binary64) n) k)))
(sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) n) (PI.f64)))
(sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (PI.f64)) n))
(sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 (PI.f64) n)))
(sqrt.f64 (*.f64 (/.f64 n (*.f64 k #s(literal 1/2 binary64))) (PI.f64)))
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k))
(/.f64 (sqrt.f64 n) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 k (*.f64 (PI.f64) n))))
(sqrt.f64 (/.f64 (PI.f64) (/.f64 k (*.f64 #s(literal 2 binary64) n))))
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 k (PI.f64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (*.f64 (PI.f64) n) k)))
Outputs
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 k (PI.f64))))
Calls

4 calls:

5.0ms
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)
5.0ms
n
5.0ms
k
4.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
38.1%1(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
38.1%1k
38.1%1n
38.1%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)
Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes17.0ms (0.1%)

Memory
37.2MiB live, 37.2MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 #s(literal 1 binary64) k))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 #s(literal 2 binary64) n) k)))
(sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) n) (PI.f64)))
(sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (PI.f64)) n))
(sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 (PI.f64) n)))
(sqrt.f64 (*.f64 (/.f64 n (*.f64 k #s(literal 1/2 binary64))) (PI.f64)))
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) k))
(/.f64 (sqrt.f64 n) (sqrt.f64 (*.f64 k #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 k (*.f64 (PI.f64) n))))
(sqrt.f64 (/.f64 (PI.f64) (/.f64 k (*.f64 #s(literal 2 binary64) n))))
Outputs
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 #s(literal 2 binary64) n) k)))
Calls

4 calls:

4.0ms
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)
4.0ms
k
4.0ms
n
4.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
38.1%1k
38.1%1(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
38.1%1n
38.1%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)
Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes8.0ms (0.1%)

Memory
-19.2MiB live, 19.1MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 #s(literal 1 binary64) k))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))))
Outputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))))
Calls

4 calls:

3.0ms
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)
2.0ms
n
2.0ms
k
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
38.0%1k
38.0%1(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
38.0%1n
38.0%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)
Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes6.0ms (0%)

Memory
16.9MiB live, 16.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 #s(literal 1 binary64) k))))
Outputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 #s(literal 1 binary64) k))))
Calls

4 calls:

1.0ms
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)
1.0ms
k
1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
1.0ms
n
Results
AccuracySegmentsBranch
9.1%1k
9.1%1(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))))
9.1%1n
9.1%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n)
Compiler

Compiled 31 to 23 computations (25.8% saved)

simplify9.0ms (0.1%)

Memory
-21.5MiB live, 15.6MiB allocated
Algorithm
1×egg-herbie
Rules
30×*-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04592
16392
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) k)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
(*.f64 (sqrt.f64 n) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) k)))
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 k (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 #s(literal 2 binary64) n) k)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 #s(literal 1 binary64) k))))
Outputs
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) k)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (*.f64 k #s(literal -1/2 binary64)))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) n)) (fma.f64 k #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 k))
(*.f64 (sqrt.f64 n) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) k)))
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 k (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 #s(literal 2 binary64) n) k)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 n (/.f64 #s(literal 1 binary64) k))))

soundness1.3s (10.5%)

Memory
-4.5MiB live, 937.7MiB allocated
Rules
6 452×lower-*.f32
6 430×lower-*.f64
6 406×lower-*.f32
6 388×lower-*.f64
6 166×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01233152
12483088
25843080
310553080
413643080
515963080
621243080
737563080
848533080
952583080
1055273080
1156353080
1258193080
1362583080
1464673080
1566433080
1670853080
1775513080
1877263080
1979323080
080443080
01338
02238
18935
249733
3447433
0859932
031151
056148
1178135
2913133
37747133
09310133
033188
060197
1232161
21340153
09398151
033160
060146
1184141
2972137
08410137
042676
182676
2179676
3362676
4675676
5900676
61084676
71147676
81167676
91169676
01169667
01253128
12773004
27032996
314872996
423742996
549212996
666512996
778852996
081422996
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 282 to 199 computations (29.4% saved)

preprocess56.0ms (0.5%)

Memory
-11.1MiB live, 145.9MiB allocated
Compiler

Compiled 224 to 116 computations (48.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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