Rosa's TurbineBenchmark

Time bar (total: 11.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze166.0ms (1.4%)

Memory
-48.4MiB live, 250.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
56.3%56.2%43.7%0.1%0%0%0%7
65.6%65.5%34.3%0.1%0%0%0%8
65.6%65.5%34.3%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
82%81.9%17.9%0.1%0%0%0%11
82%81.9%17.9%0.1%0%0%0%12
Compiler

Compiled 31 to 24 computations (22.6% saved)

sample2.0s (17.1%)

Memory
-16.4MiB live, 2 395.7MiB allocated
Samples
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 959.0ms
ival-mult: 557.0ms (58.1% of total)
ival-sub: 207.0ms (21.6% of total)
ival-div: 125.0ms (13% of total)
ival-add: 42.0ms (4.4% of total)
exact: 17.0ms (1.8% of total)
ival-true: 7.0ms (0.7% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain447.0ms (3.8%)

Memory
-6.2MiB live, 582.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
310-2(1.5832916522593383e-279 -2.412178967753408e-156 -1.0903516117267947e+185)(*.f64 (*.f64 w w) r)
170-2(-6.140318139168443e-205 5.1945991406892096e-194 1.8533862321429844e+65)(*.f64 (*.f64 (*.f64 w w) r) r)
150-1(-2.1854451684632113e+251 2.6575033098282492e-20 7.132795001540478e-139)(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r))
100-0-(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
21(1.373668061950636e+189 1.721283013023645e+113 -6.649446662572842e+161)0-(/.f64 #s(literal 2 binary64) (*.f64 r r))
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-#s(literal 9/2 binary64)
00-0-#s(literal 1/8 binary64)
00-0-v
00-0-(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))
00-0-(*.f64 w w)
00-0-(*.f64 r r)
00-0-(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))
00-0-(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
00-0-(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
00-0-(-.f64 #s(literal 1 binary64) v)
00-0-(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
00-0-(*.f64 #s(literal 2 binary64) v)
00-0-#s(literal 2 binary64)
00-0-w
00-0-r
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (*.f64 w w) r)n*o120
*.f64(*.f64 (*.f64 w w) r)n*u110
/.f64(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))o/n100
(*.f64 (*.f64 w w) r)overflow59
(*.f64 w w)overflow48
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r))overflow77
(*.f64 (*.f64 (*.f64 w w) r) r)overflow67
*.f64(*.f64 (*.f64 (*.f64 w w) r) r)n*o60
Confusion
Predicted +Predicted -
+362
-0218
Precision
1.0
Recall
0.9473684210526315
Confusion?
Predicted +Predicted MaybePredicted -
+3602
-00218
Precision?
1.0
Recall?
0.9473684210526315
Freqs
test
numberfreq
0220
133
23
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
118.0ms512×0valid
Compiler

Compiled 328 to 70 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 20.0ms (46% of total)
ival-sub: 14.0ms (32.2% of total)
ival-div: 6.0ms (13.8% of total)
ival-add: 2.0ms (4.6% of total)
exact: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess222.0ms (1.9%)

Memory
-10.9MiB live, 247.3MiB allocated
Algorithm
egg-herbie
Rules
16 612×lower-fma.f64
16 612×lower-fma.f32
6 932×lower-*.f32
6 918×lower-*.f64
1 710×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079268
1270264
21038246
33557243
47112243
02229
03629
17229
218425
371325
4393925
5791425
0814623
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Outputs
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 v #s(literal 1 binary64))) r) w) (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
Symmetry

(abs r)

(abs w)

Compiler

Compiled 32 to 22 computations (31.3% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.2%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify189.0ms (1.6%)

Memory
-1.8MiB live, 188.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))
cost-diff128
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
cost-diff192
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
cost-diff320
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))
Rules
16 612×lower-fma.f64
16 612×lower-fma.f32
6 932×lower-*.f32
6 918×lower-*.f64
1 710×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022146
036146
172146
2184134
3713134
43939134
57914134
08146126
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(literal 3 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r))
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))
#s(literal 1/8 binary64)
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))
(*.f64 #s(literal 2 binary64) v)
v
(*.f64 (*.f64 (*.f64 w w) r) r)
(*.f64 (*.f64 w w) r)
(*.f64 w w)
w
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)
Outputs
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 v #s(literal 1 binary64))) r) w) (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
(fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 v #s(literal 1 binary64))) r) w) (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) r))
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r))
(*.f64 (*.f64 (*.f64 (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) r) r) w)
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
#s(literal 1/8 binary64)
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) v)
(*.f64 v #s(literal 2 binary64))
v
(*.f64 (*.f64 (*.f64 w w) r) r)
(*.f64 (*.f64 w w) r)
(*.f64 w w)
w
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)

localize51.0ms (0.4%)

Memory
-1.8MiB live, 84.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy2.4115157347056067
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
accuracy3.4563499537471465
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r))
accuracy3.9200632083342906
(*.f64 (*.f64 (*.f64 w w) r) r)
accuracy6.611601578566215
(*.f64 (*.f64 w w) r)
Samples
38.0ms256×0valid
Compiler

Compiled 148 to 24 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 10.0ms (52.3% of total)
ival-sub: 4.0ms (20.9% of total)
ival-div: 3.0ms (15.7% of total)
ival-add: 1.0ms (5.2% of total)
exact: 1.0ms (5.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series37.0ms (0.3%)

Memory
18.9MiB live, 56.2MiB allocated
Counts
8 → 216
Calls
Call 1
Inputs
#s(alt (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (patch (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) (patch (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 w w) r) (patch (*.f64 (*.f64 w w) r) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 w w) r) r) (patch (*.f64 (*.f64 (*.f64 w w) r) r) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (patch (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())
Outputs
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (* -2 v) (taylor -inf v) (#s(alt (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) (patch (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (- 2 (* 3 (/ 1 v))))) (taylor -inf v) (#s(alt (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) (patch (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (- 2 (* 3 (/ 1 v))))) (taylor -inf v) (#s(alt (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) (patch (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (- 2 (* 3 (/ 1 v))))) (taylor -inf v) (#s(alt (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) (patch (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) (taylor -inf v) (#s(alt (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (patch (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) (taylor -inf v) (#s(alt (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (patch (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) (taylor -inf v) (#s(alt (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (patch (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* (pow r 2) (pow w 2))) (taylor -inf v) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
7.0ms
w
@0
((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- 3 (* 2 v)) (* (* w w) r) (* (* (* w w) r) r) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)))
4.0ms
w
@inf
((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- 3 (* 2 v)) (* (* w w) r) (* (* (* w w) r) r) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)))
3.0ms
r
@0
((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- 3 (* 2 v)) (* (* w w) r) (* (* (* w w) r) r) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)))
3.0ms
r
@inf
((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- 3 (* 2 v)) (* (* w w) r) (* (* (* w w) r) r) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)))
2.0ms
v
@inf
((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- 3 (* 2 v)) (* (* w w) r) (* (* (* w w) r) r) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)))

simplify228.0ms (2%)

Memory
21.2MiB live, 199.8MiB allocated
Algorithm
egg-herbie
Rules
14 382×lower-fma.f64
14 382×lower-fma.f32
5 144×lower-+.f64
5 144×lower-+.f32
4 118×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02274018
17453856
225833578
082063390
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
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(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
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(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
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(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* r (pow w 2))
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(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
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(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* (pow r 2) (pow w 2))
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(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
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(* r (pow w 2))
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(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
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(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
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(* r (pow w 2))
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(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
3/8
(+ 3/8 (* -1/4 v))
(+ 3/8 (* -1/4 v))
(+ 3/8 (* -1/4 v))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))
3
(+ 3 (* -2 v))
(+ 3 (* -2 v))
(+ 3 (* -2 v))
(* 3/8 (* (pow r 2) (pow w 2)))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(* 3/8 (* (pow r 2) (pow w 2)))
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))
(* -1/4 v)
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -2 v)
(* v (- (* 3 (/ 1 v)) 2))
(* v (- (* 3 (/ 1 v)) 2))
(* v (- (* 3 (/ 1 v)) 2))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -1/4 v)
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(* -2 v)
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
Outputs
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(* r (pow w 2))
(*.f64 (*.f64 w w) r)
(* r (pow w 2))
(*.f64 (*.f64 w w) r)
(* r (pow w 2))
(*.f64 (*.f64 w w) r)
(* r (pow w 2))
(*.f64 (*.f64 w w) r)
(* (pow r 2) (pow w 2))
(*.f64 (*.f64 (*.f64 w w) r) r)
(* (pow r 2) (pow w 2))
(*.f64 (*.f64 (*.f64 w w) r) r)
(* (pow r 2) (pow w 2))
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(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
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(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (*.f64 v v) v)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))))
(* -2 v)
(*.f64 #s(literal -2 binary64) v)
(* v (- (* 3 (/ 1 v)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) v) #s(literal 2 binary64)) v)
(* v (- (* 3 (/ 1 v)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) v) #s(literal 2 binary64)) v)
(* v (- (* 3 (/ 1 v)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) v) #s(literal 2 binary64)) v)
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) #s(literal -1/4 binary64))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)
(* 1/4 (* (pow r 2) (pow w 2)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) #s(literal -1/8 binary64)))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (*.f64 (neg.f64 r) (*.f64 r (/.f64 (*.f64 w w) v))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 w w) (*.f64 v v)) (*.f64 (neg.f64 r) r)) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r))))
(* -1/4 v)
(*.f64 #s(literal -1/4 binary64) v)
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(*.f64 (neg.f64 v) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(*.f64 (neg.f64 v) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(*.f64 (neg.f64 v) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r))) v) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 3/2 binary64)))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))))
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (+.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r))) v) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 3 binary64)))
(* -2 v)
(*.f64 #s(literal -2 binary64) v)
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(*.f64 (neg.f64 v) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) v)))
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(*.f64 (neg.f64 v) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) v)))
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(*.f64 (neg.f64 v) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) v)))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) #s(literal -1/4 binary64))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)
(* 1/4 (* (pow r 2) (pow w 2)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r))
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) #s(literal -1/8 binary64)))
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (*.f64 (neg.f64 r) (*.f64 r (/.f64 (*.f64 w w) v))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r))) (neg.f64 v)))

rewrite439.0ms (3.8%)

Memory
-46.3MiB live, 332.7MiB allocated
Rules
6 012×lower-*.f32
5 998×lower-*.f64
5 632×lower-fma.f64
5 632×lower-fma.f32
4 766×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022114
036114
1149104
21353104
0896594
Stop Event
iter limit
node limit
iter limit
Counts
8 → 399
Calls
Call 1
Inputs
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))
(*.f64 (*.f64 w w) r)
(*.f64 (*.f64 (*.f64 w w) r) r)
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r))
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
Outputs
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 27/512 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 9/64 binary64) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64))) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64))))))
(/.f64 (+.f64 #s(literal 27/512 binary64) (pow.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) v)) #s(literal 3 binary64))) (+.f64 #s(literal 9/64 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) v)) (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) v))) (*.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) v))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) v))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))) (neg.f64 (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 27 binary64) (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) v))))) (neg.f64 (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))) #s(literal 1/8 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) v))) #s(literal 1/8 binary64)) (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 27 binary64) (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) v)))) (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))
(+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64)))
(+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) v)))
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(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 (*.f64 (*.f64 w w) r) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 r (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) v))))
(*.f64 (/.f64 (*.f64 (*.f64 w w) r) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) v))) (/.f64 (*.f64 r (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v v v) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 w w) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (*.f64 r r) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) v))))
(*.f64 (/.f64 (*.f64 w w) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) v))) (/.f64 (*.f64 (*.f64 r r) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v v v) #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) v))))
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) v))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v v v) #s(literal 1 binary64)))))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) v))))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) v))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v v v) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) v))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) v))) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v v v) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) v))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) v))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v v v) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) v))) (+.f64 (fma.f64 v v v) #s(literal 1 binary64)))
(*.f64 #s(literal -1/8 binary64) (/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r))) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) v))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))))
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))))
(*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)))
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))
(*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) v)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v)))))
(/.f64 (neg.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))))
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r))) (neg.f64 (-.f64 #s(literal 1 binary64) v)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(neg.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r)) (-.f64 #s(literal 1 binary64) v))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) v))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r)) (-.f64 #s(literal 1 binary64) v))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))) #s(literal -1 binary64)))

eval167.0ms (1.4%)

Memory
-1.1MiB live, 155.4MiB allocated
Compiler

Compiled 29 602 to 2 003 computations (93.2% saved)

prune140.0ms (1.2%)

Memory
-12.9MiB live, 256.4MiB allocated
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New59520615
Fresh000
Picked101
Done000
Total59620616
Accuracy
100.0%
Counts
616 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.4%
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))))
60.3%
(fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))
84.6%
(-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64))
96.1%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
86.2%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
86.2%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (*.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64)) v)) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
93.3%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
66.3%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) #s(literal -1/8 binary64))))) #s(literal 9/2 binary64))
88.5%
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))
84.0%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
45.0%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
59.3%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 r r) #s(literal -3/2 binary64)))
46.3%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)))
81.9%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
84.0%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
41.9%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
56.6%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
78.1%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
54.1%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 1/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 w w)))) (*.f64 w w)))
36.3%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))))
Compiler

Compiled 1 044 to 702 computations (32.8% saved)

simplify122.0ms (1%)

Memory
-16.5MiB live, 138.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff128
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))))
cost-diff192
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
cost-diff320
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))
cost-diff0
(fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))
cost-diff0
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
cost-diff128
(-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64))
cost-diff0
(*.f64 (*.f64 w w) r)
cost-diff0
(*.f64 (*.f64 (*.f64 w w) r) r)
cost-diff0
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
cost-diff0
(*.f64 r r)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff128
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))
cost-diff128
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v)))
cost-diff192
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
cost-diff320
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))
Rules
7 184×lower-fma.f32
7 178×lower-fma.f64
6 698×lower-*.f32
6 670×lower-*.f64
1 616×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061542
094533
1192533
2471509
31931509
46634509
08205484
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(literal 3 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r)))
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))
#s(literal 1/8 binary64)
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))
(*.f64 #s(literal 2 binary64) v)
v
(*.f64 (*.f64 w r) (*.f64 w r))
(*.f64 w r)
w
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
#s(literal -1/4 binary64)
(*.f64 (*.f64 (*.f64 w w) r) r)
(*.f64 (*.f64 w w) r)
(*.f64 w w)
w
r
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
#s(literal 3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))
(*.f64 (*.f64 (*.f64 w w) r) r)
(*.f64 (*.f64 w w) r)
(*.f64 w w)
w
r
(-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64))
(*.f64 v #s(literal -1/8 binary64))
v
#s(literal -1/8 binary64)
#s(literal 3/8 binary64)
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(literal 3 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w)
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))
#s(literal -2 binary64)
v
#s(literal 1/8 binary64)
w
(*.f64 w r)
(/.f64 r (-.f64 #s(literal 1 binary64) v))
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)
Outputs
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(fma.f64 (/.f64 w (-.f64 v #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v)))
(fma.f64 (/.f64 w (-.f64 v #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) r) r))
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r)))
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) r) r) w) w)
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
#s(literal 1/8 binary64)
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) v)
(*.f64 v #s(literal 2 binary64))
v
(*.f64 (*.f64 w r) (*.f64 w r))
(*.f64 (*.f64 (*.f64 w w) r) r)
(*.f64 w r)
w
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
#s(literal -1/4 binary64)
(*.f64 (*.f64 (*.f64 w w) r) r)
(*.f64 (*.f64 w w) r)
(*.f64 w w)
w
r
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
#s(literal 3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) w) (*.f64 r r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) w) (*.f64 r r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -3/2 binary64))
(*.f64 (*.f64 (*.f64 w w) r) r)
(*.f64 (*.f64 w w) r)
(*.f64 w w)
w
r
(-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64))
(fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))
(*.f64 v #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) v)
v
#s(literal -1/8 binary64)
#s(literal 3/8 binary64)
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
(fma.f64 (/.f64 w (-.f64 v #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))))
(fma.f64 (/.f64 w (-.f64 v #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) r) r))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r))
(*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) r) (*.f64 w w))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w)
(*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))
#s(literal -2 binary64)
v
#s(literal 1/8 binary64)
w
(*.f64 w r)
(/.f64 r (-.f64 #s(literal 1 binary64) v))
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)

localize153.0ms (1.3%)

Memory
47.6MiB live, 239.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.09765625
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w)
accuracy0.19936811911810323
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy0.9121366423365735
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r))
accuracy6.557212677814626
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
accuracy0.20312500000000003
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
accuracy3.9200632083342906
(*.f64 (*.f64 (*.f64 w w) r) r)
accuracy6.611601578566215
(*.f64 (*.f64 w w) r)
accuracy9.430779715419279
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
accuracy0.19936811911810323
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy3.9200632083342906
(*.f64 (*.f64 (*.f64 w w) r) r)
accuracy6.227057913861291
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
accuracy6.611601578566215
(*.f64 (*.f64 w w) r)
accuracy0
(*.f64 r r)
accuracy0.19936811911810323
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy37.129465896891176
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
accuracy0.19936811911810323
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy0.203125
(*.f64 (*.f64 w r) (*.f64 w r))
accuracy2.4115157347056067
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))
accuracy3.4563499537471465
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r)))
Samples
97.0ms235×0valid
9.0ms12×2valid
5.0ms1valid
Compiler

Compiled 510 to 53 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 26.0ms (49.3% of total)
ival-sub: 11.0ms (20.8% of total)
ival-div: 6.0ms (11.4% of total)
ival-add: 6.0ms (11.4% of total)
adjust: 3.0ms (5.7% of total)
exact: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series106.0ms (0.9%)

Memory
-22.0MiB live, 135.0MiB allocated
Counts
25 → 672
Calls
Call 1
Inputs
#s(alt (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (patch (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) (patch (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())
#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 w w) r) r) (patch (*.f64 (*.f64 (*.f64 w w) r) r) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 w w) r) (patch (*.f64 (*.f64 w w) r) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) (patch (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #<representation binary64>) () ())
#s(alt (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (patch (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (patch (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (patch (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 w r) (*.f64 w r)) (patch (*.f64 (*.f64 w r) (*.f64 w r)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (patch (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (patch (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) #<representation binary64>) () ())
Outputs
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ())
#s(alt (pow r 2) (taylor 0 r) (#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())) ())
#s(alt (pow r 2) (taylor 0 r) (#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* (pow r 2) (pow w 2))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (* r (* v (pow w 2)))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (patch (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (patch (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (patch (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (patch (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (* v w)) (taylor -inf v) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (patch (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* -3/8 (/ w v)) (* 1/4 w)))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (patch (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* -3/8 (/ w v)) (* 1/4 w)))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (patch (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* -3/8 (/ w v)) (* 1/4 w)))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (patch (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
16.0ms
w
@-inf
((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) (- 3 (* 2 v)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ 2 (* r r)) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* w w) r) (- (* v -1/8) 3/8) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (* (+ (* -2 v) 3) 1/8) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) (+ 3 (/ 2 (* r r))) (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v)) (* (* w r) (* w r)) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (* (* (+ (* -2 v) 3) 1/8) w))
8.0ms
r
@0
((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) (- 3 (* 2 v)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ 2 (* r r)) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* w w) r) (- (* v -1/8) 3/8) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (* (+ (* -2 v) 3) 1/8) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) (+ 3 (/ 2 (* r r))) (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v)) (* (* w r) (* w r)) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (* (* (+ (* -2 v) 3) 1/8) w))
5.0ms
w
@inf
((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) (- 3 (* 2 v)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ 2 (* r r)) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* w w) r) (- (* v -1/8) 3/8) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (* (+ (* -2 v) 3) 1/8) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) (+ 3 (/ 2 (* r r))) (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v)) (* (* w r) (* w r)) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (* (* (+ (* -2 v) 3) 1/8) w))
5.0ms
r
@inf
((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) (- 3 (* 2 v)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ 2 (* r r)) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* w w) r) (- (* v -1/8) 3/8) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (* (+ (* -2 v) 3) 1/8) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) (+ 3 (/ 2 (* r r))) (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v)) (* (* w r) (* w r)) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (* (* (+ (* -2 v) 3) 1/8) w))
5.0ms
w
@0
((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) (- 3 (* 2 v)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ 2 (* r r)) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* w w) r) (- (* v -1/8) 3/8) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (* (+ (* -2 v) 3) 1/8) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) (+ 3 (/ 2 (* r r))) (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v)) (* (* w r) (* w r)) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (* (* (+ (* -2 v) 3) 1/8) w))

simplify328.0ms (2.8%)

Memory
2.5MiB live, 357.8MiB allocated
Algorithm
egg-herbie
Rules
16 896×lower-fma.f64
16 896×lower-fma.f32
5 586×lower-*.f64
5 586×lower-*.f32
5 158×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036613219
1118512699
2386611866
0891711120
Stop Event
iter limit
node limit
Counts
672 → 672
Calls
Call 1
Inputs
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2))) (pow r 2))
-3/2
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
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(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
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(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
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(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
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(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
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(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
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(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
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(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* w (+ 3 (* -2 v))))
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(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
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(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* -1/4 (* (pow r 2) (pow w 2)))
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(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
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(* (pow w 2) (- (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))
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(* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2)))))
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3/8
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(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
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(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
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(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))
3
(+ 3 (* -2 v))
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(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
-3/8
(- (* -1/8 v) 3/8)
(- (* -1/8 v) 3/8)
(- (* -1/8 v) 3/8)
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -1/8 (* (pow r 2) (* v (pow w 2))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -1/8 (* (pow r 2) (* v (pow w 2))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -1/8 (* (pow r 2) (* v (pow w 2))))) 3/2)
3/8
(+ 3/8 (* -1/4 v))
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(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))
(* 3/8 (* (pow r 2) (pow w 2)))
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(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
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(* 3/8 (* (pow r 2) (pow w 2)))
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(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))
(* 3/8 (* (pow r 2) (pow w 2)))
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))
(* 3/8 (* r (pow w 2)))
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(+ (* -1/4 (* r (* v (pow w 2)))) (* 3/8 (* r (pow w 2))))
(+ (* -1/4 (* r (* v (pow w 2)))) (* 3/8 (* r (pow w 2))))
(* 3/8 w)
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(+ (* -1/4 (* v w)) (* 3/8 w))
(+ (* -1/4 (* v w)) (* 3/8 w))
(* -1/4 v)
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
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(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
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(* -1/8 v)
(* -1 (* v (+ 1/8 (* 3/8 (/ 1 v)))))
(* -1 (* v (+ 1/8 (* 3/8 (/ 1 v)))))
(* -1 (* v (+ 1/8 (* 3/8 (/ 1 v)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
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(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
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(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))
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(* -1/4 (* (pow r 2) (* v (pow w 2))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -1/4 (* r (* v (pow w 2))))
(* v (+ (* -1/4 (* r (pow w 2))) (* 3/8 (/ (* r (pow w 2)) v))))
(* v (+ (* -1/4 (* r (pow w 2))) (* 3/8 (/ (* r (pow w 2)) v))))
(* v (+ (* -1/4 (* r (pow w 2))) (* 3/8 (/ (* r (pow w 2)) v))))
(* -1/4 (* v w))
(* v (+ (* -1/4 w) (* 3/8 (/ w v))))
(* v (+ (* -1/4 w) (* 3/8 (/ w v))))
(* v (+ (* -1/4 w) (* 3/8 (/ w v))))
(* -1/4 v)
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
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(* -2 v)
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(* -1/8 v)
(* -1 (* v (+ 1/8 (* 3/8 (/ 1 v)))))
(* -1 (* v (+ 1/8 (* 3/8 (/ 1 v)))))
(* -1 (* v (+ 1/8 (* 3/8 (/ 1 v)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(* -1/8 (* (pow r 2) (* v (pow w 2))))
(* -1 (* v (+ (* -1 (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -1 (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -1 (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(* -1/8 (* (pow r 2) (* v (pow w 2))))
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(* -1/4 v)
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(* -1/4 (* r (* v (pow w 2))))
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2))))))
(* -1/4 (* v w))
(* -1 (* v (+ (* -3/8 (/ w v)) (* 1/4 w))))
(* -1 (* v (+ (* -3/8 (/ w v)) (* 1/4 w))))
(* -1 (* v (+ (* -3/8 (/ w v)) (* 1/4 w))))
Outputs
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
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(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) r) r) w) w (*.f64 (*.f64 (neg.f64 r) (/.f64 (*.f64 (*.f64 w w) r) v)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) v))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) r) r) w) w (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) w) w (*.f64 (*.f64 (*.f64 w (/.f64 w v)) (*.f64 r r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)))) (neg.f64 v)))
(* 1/4 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) r) r) w) w)
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) r) r) w) w (*.f64 (*.f64 (*.f64 w (/.f64 w v)) (*.f64 r r)) #s(literal -1/8 binary64)))
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) r) r) w) w (*.f64 (*.f64 (neg.f64 r) (/.f64 (*.f64 (*.f64 w w) r) v)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) v))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) r) r) w) w (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) w) w (*.f64 (*.f64 (*.f64 w (/.f64 w v)) (*.f64 r r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)))) (neg.f64 v)))
(* -1/4 (* r (* v (pow w 2))))
(*.f64 (*.f64 (*.f64 v (*.f64 w w)) r) #s(literal -1/4 binary64))
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2))))))
(*.f64 (*.f64 (*.f64 (*.f64 w w) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2))))))
(*.f64 (*.f64 (*.f64 (*.f64 w w) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2))))))
(*.f64 (*.f64 (*.f64 (*.f64 w w) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)
(* -1/4 (* v w))
(*.f64 (*.f64 #s(literal -1/4 binary64) w) v)
(* -1 (* v (+ (* -3/8 (/ w v)) (* 1/4 w))))
(*.f64 (*.f64 w (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)
(* -1 (* v (+ (* -3/8 (/ w v)) (* 1/4 w))))
(*.f64 (*.f64 w (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)
(* -1 (* v (+ (* -3/8 (/ w v)) (* 1/4 w))))
(*.f64 (*.f64 w (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)

rewrite470.0ms (4%)

Memory
-3.0MiB live, 434.8MiB allocated
Rules
4 506×lower-/.f32
4 500×lower-/.f64
4 184×lower-*.f32
4 156×lower-*.f64
4 152×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061420
094377
1403377
22822377
08326354
Stop Event
iter limit
node limit
iter limit
Counts
25 → 1 027
Calls
Call 1
Inputs
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v)))
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(*.f64 r r)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 w w) r) r)
(*.f64 (*.f64 w w) r)
(-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r)))
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))
(*.f64 (*.f64 w r) (*.f64 w r))
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w)
Outputs
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -9 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal -2 binary64) v #s(literal -3 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) v) #s(literal 27 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) v) #s(literal 27 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))) (neg.f64 (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -9 binary64)))) (neg.f64 (fma.f64 #s(literal -2 binary64) v #s(literal -3 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) v) #s(literal 27 binary64)))) (neg.f64 (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) v) #s(literal 27 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))) #s(literal 1/8 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -9 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal -3 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) v) #s(literal 27 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) v) #s(literal 27 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64)))))
(/.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -9 binary64))) (fma.f64 #s(literal -2 binary64) v #s(literal -3 binary64)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) v) #s(literal 27 binary64))) (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) v) #s(literal 27 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 v v) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64)))))
(fma.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64) #s(literal 3/8 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) v) #s(literal 3/8 binary64))
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64)) #s(literal 3/8 binary64))
(+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) v)) #s(literal 3/8 binary64))
(+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64)))
(+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) v)))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) (*.f64 (*.f64 w r) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) (*.f64 (*.f64 w r) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal -81/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) (*.f64 (*.f64 w r) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64))))
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) (*.f64 (*.f64 w r) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 729/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) (*.f64 (*.f64 w r) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) (*.f64 (*.f64 w r) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) (*.f64 (*.f64 w r) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64) #s(literal 81/4 binary64)))))
(pow.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) (*.f64 (*.f64 w r) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) (*.f64 (*.f64 w r) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) (*.f64 (*.f64 w r) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal -81/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) (*.f64 (*.f64 w r) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) (*.f64 (*.f64 w r) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) (*.f64 (*.f64 w r) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64) #s(literal 81/4 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) (*.f64 (*.f64 w r) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 729/8 binary64))) #s(literal -1 binary64))
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(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) (*.f64 w w)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) r))
(/.f64 (neg.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) (*.f64 (*.f64 w r) r)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) r) r) w) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) r) r) w)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) r) r) w))))
(/.f64 (*.f64 (*.f64 (*.f64 w (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) w) (neg.f64 r)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r)))
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) (*.f64 (*.f64 w r) r))) (neg.f64 (-.f64 #s(literal 1 binary64) v)))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) (*.f64 w w)) (/.f64 (-.f64 #s(literal 1 binary64) v) r))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) r) r) w) (-.f64 #s(literal 1 binary64) v))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) r) r) w)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) r) r) w)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) r) r) w)))
(neg.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) (*.f64 (*.f64 w r) r)) (-.f64 #s(literal 1 binary64) v))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) v))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) (*.f64 (*.f64 w r) r)) (-.f64 #s(literal 1 binary64) v))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) r) r) w))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 w r) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (*.f64 w #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) (*.f64 w w))
(*.f64 (*.f64 (*.f64 w (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) w) r)
(*.f64 (*.f64 (*.f64 w (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) r) w)
(*.f64 (*.f64 w (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) (*.f64 w r))
(*.f64 (*.f64 (*.f64 w w) r) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(*.f64 (*.f64 w r) (*.f64 w (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(*.f64 w (*.f64 r (*.f64 w (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(*.f64 w (*.f64 (*.f64 w (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) r))
(*.f64 r (*.f64 (*.f64 w (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) w))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 w w) r))
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 w r)))
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 w w) r)))
(*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 w w) r)))
(*.f64 (*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal 1/8 binary64))
(*.f64 (*.f64 w #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))
(*.f64 w (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w)
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 w #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))) (*.f64 w #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -9 binary64)) (*.f64 w #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 #s(literal -2 binary64) v #s(literal -3 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) v) #s(literal 27 binary64)) (*.f64 w #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) v) #s(literal 27 binary64)) (*.f64 w #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))) (*.f64 w #s(literal 1/8 binary64))) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -9 binary64)) (*.f64 w #s(literal 1/8 binary64))) (fma.f64 #s(literal -2 binary64) v #s(literal -3 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) v) #s(literal 27 binary64)) (*.f64 w #s(literal 1/8 binary64))) (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) v) #s(literal 27 binary64)) (*.f64 w #s(literal 1/8 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 v v) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64)))))

eval431.0ms (3.7%)

Memory
22.3MiB live, 443.3MiB allocated
Compiler

Compiled 73 411 to 3 421 computations (95.3% saved)

prune378.0ms (3.2%)

Memory
-4.2MiB live, 370.5MiB allocated
Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New2 008182 026
Fresh7815
Picked415
Done000
Total2 019272 046
Accuracy
100.0%
Counts
2 046 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.1%
(-.f64 (fma.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 (*.f64 w (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) w) (neg.f64 r)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64))
86.2%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
56.2%
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
84.0%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
45.0%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
57.9%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/4 binary64))))
77.8%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 (*.f64 w w) r)) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
85.1%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 w r)) (*.f64 w r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
79.7%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) (*.f64 (*.f64 w r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
85.9%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
90.2%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
46.3%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)))
82.2%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 w (*.f64 (*.f64 w r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
88.2%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
84.0%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
41.9%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
41.9%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
56.6%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
54.1%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 1/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 w w)))) (*.f64 w w)))
36.3%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))))
37.1%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64))))
70.4%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (+.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/8 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 v (*.f64 r r)))) (/.f64 #s(literal 3/2 binary64) v)) v)))
27.6%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r))))
67.5%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (*.f64 (neg.f64 v) (fma.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) w) w (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (neg.f64 v))))))
54.7%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 w w) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) (*.f64 r r) #s(literal -3/2 binary64))))
42.8%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
33.3%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
Compiler

Compiled 1 167 to 744 computations (36.2% saved)

simplify178.0ms (1.5%)

Memory
-0.6MiB live, 193.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff0
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff128
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
cost-diff192
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
cost-diff0
(*.f64 w r)
cost-diff0
(*.f64 (*.f64 w r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r))
cost-diff0
(fma.f64 w (*.f64 (*.f64 w r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 w (*.f64 (*.f64 w r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
cost-diff0
(*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w)
cost-diff0
(fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64))
cost-diff0
#s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64)))
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64))))
cost-diff0
(*.f64 r r)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
cost-diff0
(*.f64 (*.f64 w r) #s(literal -1/4 binary64))
cost-diff0
(*.f64 w r)
cost-diff0
(fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
Rules
11 414×lower-fma.f32
11 402×lower-fma.f64
7 082×lower-*.f32
7 060×lower-*.f64
1 796×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063566
094564
1194562
2471525
31733525
45412525
08058519
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(*.f64 w r)
w
r
(*.f64 (*.f64 w r) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
#s(literal 3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(literal 3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64))
(*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w)
(*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w)
(fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))
v
#s(literal -1/8 binary64)
#s(literal -3/8 binary64)
w
(*.f64 r r)
r
#s(literal -3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 w (*.f64 (*.f64 w r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(fma.f64 w (*.f64 (*.f64 w r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
w
(*.f64 (*.f64 w r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r))
(*.f64 w r)
r
(*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)
(fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))
#s(literal -1/8 binary64)
v
#s(literal -3/8 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
#s(literal 3/2 binary64)
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(literal 3 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
(*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r))
#s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
#s(literal -1/4 binary64)
v
#s(literal 3/8 binary64)
(*.f64 (*.f64 (*.f64 w w) r) r)
(*.f64 (*.f64 w w) r)
(*.f64 w w)
w
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) (*.f64 w w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) (*.f64 w w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(*.f64 w r)
w
r
(*.f64 (*.f64 w r) #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) (*.f64 w r))
#s(literal -1/4 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
#s(literal 3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(literal 3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) w) w) r #s(literal -3/2 binary64))))
#s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64)))
#s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) w) w) r #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) w) w) r #s(literal -3/2 binary64))
(*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w)
(*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) w)
(*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w)
(*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w)
(fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))
(fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))
v
#s(literal -1/8 binary64)
#s(literal -3/8 binary64)
w
(*.f64 r r)
r
#s(literal -3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 w (*.f64 (*.f64 w r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) w) w) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(fma.f64 w (*.f64 (*.f64 w r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) w) w) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
w
(*.f64 (*.f64 w r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r))
(*.f64 (*.f64 (*.f64 r r) w) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))
(*.f64 w r)
r
(*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)
(fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))
#s(literal -1/8 binary64)
v
#s(literal -3/8 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
#s(literal 3/2 binary64)
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(fma.f64 (*.f64 (/.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (-.f64 v #s(literal 1 binary64))) (*.f64 w w)) (*.f64 r r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
(fma.f64 (*.f64 (/.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (-.f64 v #s(literal 1 binary64))) (*.f64 w w)) (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v))
(*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r))
(*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))
#s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
#s(literal -1/4 binary64)
v
#s(literal 3/8 binary64)
(*.f64 (*.f64 (*.f64 w w) r) r)
(*.f64 (*.f64 w w) r)
(*.f64 w w)
w
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)

localize154.0ms (1.3%)

Memory
5.1MiB live, 250.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy2.4115157347056067
(/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
accuracy3.4563499537471465
(*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r))
accuracy3.9200632083342906
(*.f64 (*.f64 (*.f64 w w) r) r)
accuracy6.611601578566215
(*.f64 (*.f64 w w) r)
accuracy0.19936811911810323
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy0.6693591689200893
(*.f64 (*.f64 w r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r))
accuracy3.3141643821985713
(fma.f64 w (*.f64 (*.f64 w r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
accuracy9.430779715419279
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 w (*.f64 (*.f64 w r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
accuracy0.19140625
(*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w)
accuracy9.430779715419279
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64))))
accuracy11.349487593140328
(fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64))
accuracy25.846895314207188
#s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64)))
accuracy0
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
accuracy0
(*.f64 r r)
accuracy0.19936811911810323
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy27.75787153330356
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
accuracy0
(*.f64 r r)
accuracy0.08203125
(fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
accuracy0.19936811911810323
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy6.227057913861291
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
Samples
70.0ms218×0valid
13.0ms24×1valid
10.0ms14×2valid
Compiler

Compiled 460 to 53 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 33.0ms (53.7% of total)
ival-add: 10.0ms (16.3% of total)
ival-sub: 9.0ms (14.7% of total)
adjust: 5.0ms (8.1% of total)
ival-div: 3.0ms (4.9% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series74.0ms (0.6%)

Memory
0.9MiB live, 198.1MiB allocated
Counts
22 → 624
Calls
Call 1
Inputs
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 w r) (patch (*.f64 w r) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (patch (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())
#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64))) (patch #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64)) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (patch (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 w (*.f64 (*.f64 w r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 w (*.f64 (*.f64 w r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 w (*.f64 (*.f64 w r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch (fma.f64 w (*.f64 (*.f64 w r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 w r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)) (patch (*.f64 (*.f64 w r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 w w) r) (patch (*.f64 (*.f64 w w) r) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 w w) r) r) (patch (*.f64 (*.f64 (*.f64 w w) r) r) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (patch (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())
Outputs
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* r w) (taylor 0 r) (#s(alt (*.f64 w r) (patch (*.f64 w r) #<representation binary64>) () ())) ())
#s(alt (* r w) (taylor 0 r) (#s(alt (*.f64 w r) (patch (*.f64 w r) #<representation binary64>) () ())) ())
#s(alt (* r w) (taylor 0 r) (#s(alt (*.f64 w r) (patch (*.f64 w r) #<representation binary64>) () ())) ())
#s(alt (* r w) (taylor 0 r) (#s(alt (*.f64 w r) (patch (*.f64 w r) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (* r w)) (taylor 0 r) (#s(alt (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (patch (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (* r w)) (taylor 0 r) (#s(alt (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (patch (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (* r w)) (taylor 0 r) (#s(alt (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (patch (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (* r w)) (taylor 0 r) (#s(alt (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (patch (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ())
#s(alt (pow r 2) (taylor 0 r) (#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())) ())
#s(alt (pow r 2) (taylor 0 r) (#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())) ())
#s(alt (pow r 2) (taylor 0 r) (#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())) ())
#s(alt (pow r 2) (taylor 0 r) (#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())) ())
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#s(alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) (taylor -inf v) (#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (* (pow r 2) (* v (pow w 2)))) (taylor -inf v) (#s(alt (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (patch (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) (taylor -inf v) (#s(alt (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (patch (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) (taylor -inf v) (#s(alt (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (patch (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) (taylor -inf v) (#s(alt (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (patch (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* (pow r 2) (pow w 2))) (taylor -inf v) (#s(alt (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
7.0ms
v
@0
((- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (* w r) (* (* w r) -1/4) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (/ 2 (* r r)) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (* (* (+ (* v -1/8) -3/8) w) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* w (* (* w r) (* (+ (* -1/8 v) -3/8) r))) (- (/ 2 (* r r)) 3/2)) (* (* w r) (* (+ (* -1/8 v) -3/8) r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+ 3 (/ 2 (* r r))) (* (* w w) r) (* (* (* w w) r) r) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)))
6.0ms
r
@inf
((- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (* w r) (* (* w r) -1/4) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (/ 2 (* r r)) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (* (* (+ (* v -1/8) -3/8) w) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* w (* (* w r) (* (+ (* -1/8 v) -3/8) r))) (- (/ 2 (* r r)) 3/2)) (* (* w r) (* (+ (* -1/8 v) -3/8) r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+ 3 (/ 2 (* r r))) (* (* w w) r) (* (* (* w w) r) r) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)))
4.0ms
w
@-inf
((- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (* w r) (* (* w r) -1/4) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (/ 2 (* r r)) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (* (* (+ (* v -1/8) -3/8) w) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* w (* (* w r) (* (+ (* -1/8 v) -3/8) r))) (- (/ 2 (* r r)) 3/2)) (* (* w r) (* (+ (* -1/8 v) -3/8) r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+ 3 (/ 2 (* r r))) (* (* w w) r) (* (* (* w w) r) r) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)))
4.0ms
w
@inf
((- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (* w r) (* (* w r) -1/4) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (/ 2 (* r r)) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (* (* (+ (* v -1/8) -3/8) w) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* w (* (* w r) (* (+ (* -1/8 v) -3/8) r))) (- (/ 2 (* r r)) 3/2)) (* (* w r) (* (+ (* -1/8 v) -3/8) r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+ 3 (/ 2 (* r r))) (* (* w w) r) (* (* (* w w) r) r) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)))
4.0ms
r
@-inf
((- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (* w r) (* (* w r) -1/4) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (/ 2 (* r r)) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (* (* (+ (* v -1/8) -3/8) w) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* w (* (* w r) (* (+ (* -1/8 v) -3/8) r))) (- (/ 2 (* r r)) 3/2)) (* (* w r) (* (+ (* -1/8 v) -3/8) r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+ 3 (/ 2 (* r r))) (* (* w w) r) (* (* (* w w) r) r) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)))

simplify195.0ms (1.7%)

Memory
25.0MiB live, 373.4MiB allocated
Algorithm
egg-herbie
Rules
16 938×lower-fma.f64
16 938×lower-fma.f32
5 280×lower-*.f64
5 280×lower-*.f32
4 916×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031311934
1100711530
2345110778
0830610098
Stop Event
iter limit
node limit
Counts
624 → 624
Calls
Call 1
Inputs
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(* r w)
(* r w)
(* r w)
(* r w)
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2))) (pow r 2))
-3/2
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(/ 2 (pow r 2))
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(* -1 (* v (+ (* -1 (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(* -1/8 (* (pow r 2) (* v (pow w 2))))
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(* -1/8 (* v (pow w 2)))
(* -1 (* v (+ (* 1/8 (pow w 2)) (* 3/8 (/ (pow w 2) v)))))
(* -1 (* v (+ (* 1/8 (pow w 2)) (* 3/8 (/ (pow w 2) v)))))
(* -1 (* v (+ (* 1/8 (pow w 2)) (* 3/8 (/ (pow w 2) v)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
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(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
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(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
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Outputs
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ 2 (pow r 2))
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(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
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(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)) r) r #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)) r) r #s(literal 2 binary64)) (*.f64 r r))
(* r w)
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(* -1/4 (* r w))
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(* -1/4 (* r w))
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(* -1/4 (* r w))
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(/ 2 (pow r 2))
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(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
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(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ 2 (pow r 2))
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(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
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(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
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(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
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(/ 2 (pow r 2))
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(/ 2 (pow r 2))
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(/ 2 (pow r 2))
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(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(pow r 2)
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(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(/ 2 (pow r 2))
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(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
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(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 (*.f64 w r) r) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))))
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (+.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) (*.f64 w w) (*.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)))) v) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 3 binary64)))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) v) (*.f64 w w))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) r) w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) v)
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) r) w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) v)
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) r) w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) v)
(* 1/4 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w)
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) #s(literal -1/8 binary64)))
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (*.f64 (neg.f64 r) (*.f64 r (/.f64 (*.f64 w w) v))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) v))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) (*.f64 w w) (*.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)))) (neg.f64 v)))

rewrite220.0ms (1.9%)

Memory
0.2MiB live, 401.2MiB allocated
Rules
4 282×lower-fma.f32
4 270×lower-fma.f64
4 134×lower-*.f32
4 112×lower-*.f64
3 910×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063450
094448
1415419
23590419
08715382
Stop Event
iter limit
node limit
iter limit
Counts
22 → 492
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(*.f64 w r)
(*.f64 (*.f64 w r) #s(literal -1/4 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(*.f64 r r)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64))
(*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 w (*.f64 (*.f64 w r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(fma.f64 w (*.f64 (*.f64 w r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(*.f64 (*.f64 w r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(*.f64 (*.f64 w w) r)
(*.f64 (*.f64 (*.f64 w w) r) r)
(*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r))
(/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)) #s(literal 1/16 binary64) (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 r r) r) (*.f64 (*.f64 w w) w))) (*.f64 (*.f64 (*.f64 r r) r) (*.f64 (*.f64 w w) w)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)) #s(literal 1/16 binary64) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/4 binary64)))))))
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)) #s(literal 1/16 binary64) (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)) #s(literal 1/16 binary64) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/4 binary64))))) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 r r) r) (*.f64 (*.f64 w w) w))) (*.f64 (*.f64 (*.f64 r r) r) (*.f64 (*.f64 w w) w)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/4 binary64))) (neg.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 3/2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)) #s(literal 1/16 binary64)))) (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 27/8 binary64))) (neg.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal 9/4 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 3/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)) #s(literal 1/16 binary64) (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 r r) r) (*.f64 (*.f64 w w) w))) (*.f64 (*.f64 (*.f64 r r) r) (*.f64 (*.f64 w w) w)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)) #s(literal 1/16 binary64) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/4 binary64))))))))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/4 binary64)) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 3/2 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)) #s(literal 1/16 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/4 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 27/8 binary64)) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal 9/4 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 3/2 binary64)))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 w w) r) r)) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) v)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))))
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) v))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))))) #s(literal -1 binary64)))

eval198.0ms (1.7%)

Memory
-17.6MiB live, 406.2MiB allocated
Compiler

Compiled 45 936 to 1 886 computations (95.9% saved)

prune149.0ms (1.3%)

Memory
36.4MiB live, 309.9MiB allocated
Pruning

24 alts after pruning (22 fresh and 2 done)

PrunedKeptTotal
New1 425161 441
Fresh15621
Picked415
Done011
Total1 444241 468
Accuracy
100.0%
Counts
1 468 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.8%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 (*.f64 (*.f64 (*.f64 w r) r) w) (fma.f64 #s(literal 1/8 binary64) v #s(literal 3/8 binary64))))) #s(literal 9/2 binary64))
51.1%
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
45.0%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
79.7%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) (*.f64 (*.f64 w r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
88.2%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
76.4%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
48.4%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))))
41.9%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
26.2%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
41.9%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
56.6%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
36.3%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))))
15.1%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
43.4%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -3/2 binary64))))
42.5%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
45.2%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 w (*.f64 w (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r))) r #s(literal -3/2 binary64))))
43.6%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64))))
27.6%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r))))
67.5%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (*.f64 (neg.f64 v) (fma.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) w) w (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (neg.f64 v))))))
49.3%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal -3/8 binary64)) w #s(literal -3/2 binary64)))))
54.7%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 w w) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) (*.f64 r r) #s(literal -3/2 binary64))))
42.8%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
56.1%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 w r) r) w))) (/.f64 #s(literal 3/2 binary64) (*.f64 w w))) (*.f64 w w))))
33.3%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
Compiler

Compiled 852 to 522 computations (38.7% saved)

simplify151.0ms (1.3%)

Memory
12.1MiB live, 156.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
cost-diff0
#s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))
cost-diff0
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
cost-diff128
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
cost-diff0
(*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)
cost-diff0
(fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))
cost-diff0
#s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64)))
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
cost-diff0
#s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
cost-diff0
(fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64))
cost-diff0
#s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64)))
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64))))
cost-diff0
#s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
cost-diff0
(*.f64 #s(literal -1/4 binary64) (*.f64 w r))
cost-diff0
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w)
cost-diff0
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
Rules
10 324×lower-fma.f32
10 314×lower-fma.f64
8 482×lower-*.f32
8 462×lower-*.f64
3 942×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068612
096600
1188600
2422565
31454565
44296565
09267559
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w)
(*.f64 #s(literal -1/4 binary64) (*.f64 w r))
#s(literal -1/4 binary64)
(*.f64 w r)
w
r
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
#s(literal 3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64)))
(fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64))
#s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
(*.f64 #s(literal -3/8 binary64) (*.f64 w w))
#s(literal -3/8 binary64)
(*.f64 w w)
w
(*.f64 r r)
r
#s(literal -3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
#s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))
(*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)
(fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))
#s(literal -1/8 binary64)
v
#s(literal -3/8 binary64)
r
(*.f64 (*.f64 w w) r)
(*.f64 w w)
w
#s(literal -3/2 binary64)
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
#s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
(*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r))
#s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
#s(literal -1/4 binary64)
v
#s(literal 3/8 binary64)
(*.f64 (*.f64 (*.f64 w w) r) r)
(*.f64 (*.f64 w w) r)
(*.f64 w w)
w
r
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 3/2 binary64))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w)
(*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) w)
(*.f64 #s(literal -1/4 binary64) (*.f64 w r))
(*.f64 (*.f64 w r) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 w r)
w
r
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
#s(literal 3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64)))
#s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) (*.f64 r r) #s(literal -3/2 binary64)))
(fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64))
(fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) (*.f64 r r) #s(literal -3/2 binary64))
#s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
#s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(*.f64 #s(literal -3/8 binary64) (*.f64 w w))
(*.f64 (*.f64 w w) #s(literal -3/8 binary64))
#s(literal -3/8 binary64)
(*.f64 w w)
w
(*.f64 r r)
r
#s(literal -3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (*.f64 r r) w) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) #s(literal -3/2 binary64))))
#s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64)))
#s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (*.f64 r r) w) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))
(fma.f64 (*.f64 (*.f64 r r) w) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) #s(literal -3/2 binary64))
(*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)
(fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))
#s(literal -1/8 binary64)
v
#s(literal -3/8 binary64)
r
(*.f64 (*.f64 w w) r)
(*.f64 w w)
w
#s(literal -3/2 binary64)
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(fma.f64 (*.f64 (/.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (-.f64 v #s(literal 1 binary64))) (*.f64 w r)) (*.f64 w r) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(literal 9/2 binary64)))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
(fma.f64 (*.f64 (/.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (-.f64 v #s(literal 1 binary64))) (*.f64 w r)) (*.f64 w r) #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)))
#s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v))
(*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r))
(*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))
#s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
#s(literal -1/4 binary64)
v
#s(literal 3/8 binary64)
(*.f64 (*.f64 (*.f64 w w) r) r)
(*.f64 (*.f64 w w) r)
(*.f64 w w)
w
r
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)

localize152.0ms (1.3%)

Memory
-37.3MiB live, 183.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy3.4563499537471465
(*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r))
accuracy3.9200632083342906
(*.f64 (*.f64 (*.f64 w w) r) r)
accuracy6.611601578566215
(*.f64 (*.f64 w w) r)
accuracy29.355660144087796
#s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))
accuracy2.639321142698039
(fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))
accuracy6.611601578566215
(*.f64 (*.f64 w w) r)
accuracy9.430779715419279
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
accuracy25.846895314207188
#s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64)))
accuracy9.430779715419279
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64))))
accuracy11.349487593140328
(fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64))
accuracy21.330901526825937
#s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
accuracy25.846895314207188
#s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64)))
accuracy27.75787153330356
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
accuracy30.51498038263561
#s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))
accuracy0.12109375
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w)
accuracy0.19936811911810323
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy1.359263880746341
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
accuracy6.227057913861291
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
Samples
70.0ms238×0valid
39.0ms13×1valid
3.0ms2valid
Compiler

Compiled 435 to 54 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-mult: 49.0ms (67.4% of total)
ival-add: 10.0ms (13.8% of total)
ival-sub: 7.0ms (9.6% of total)
ival-div: 3.0ms (4.1% of total)
adjust: 2.0ms (2.8% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series64.0ms (0.6%)

Memory
30.2MiB live, 146.2MiB allocated
Counts
22 → 636
Calls
Call 1
Inputs
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) (patch (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)) (patch #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64))) (patch #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64)) (patch (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (patch #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))) (patch #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64)) (patch (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (patch (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) (patch (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (patch #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 w w) r) (patch (*.f64 (*.f64 w w) r) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 w w) r) r) (patch (*.f64 (*.f64 (*.f64 w w) r) r) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (patch (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) #<representation binary64>) () ())
Outputs
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#s(alt (* -1/4 (* r (pow w 2))) (taylor 0 r) (#s(alt (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) (patch (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (* r (pow w 2))) (taylor 0 r) (#s(alt (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) (patch (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (* r (pow w 2))) (taylor 0 r) (#s(alt (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) (patch (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (* r (pow w 2))) (taylor 0 r) (#s(alt (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) (patch (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (* r w)) (taylor 0 r) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (* r w)) (taylor 0 r) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (* r w)) (taylor 0 r) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (* r w)) (taylor 0 r) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)) (patch #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)) (patch #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)) (patch #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
4.0ms
w
@0
((- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (* (* -1/4 (* w r)) w) (* -1/4 (* w r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (* (* (+ (* v -1/8) -3/8) w) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (+ (* (* (+ (* -1/8 v) -3/8) r) (* (* w w) r)) -3/2) (* (+ (* -1/8 v) -3/8) r) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (/ 2 (* r r)) (* (* w w) r) (* (* (* w w) r) r) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)))
3.0ms
r
@-inf
((- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (* (* -1/4 (* w r)) w) (* -1/4 (* w r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (* (* (+ (* v -1/8) -3/8) w) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (+ (* (* (+ (* -1/8 v) -3/8) r) (* (* w w) r)) -3/2) (* (+ (* -1/8 v) -3/8) r) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (/ 2 (* r r)) (* (* w w) r) (* (* (* w w) r) r) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)))
3.0ms
r
@0
((- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (* (* -1/4 (* w r)) w) (* -1/4 (* w r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (* (* (+ (* v -1/8) -3/8) w) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (+ (* (* (+ (* -1/8 v) -3/8) r) (* (* w w) r)) -3/2) (* (+ (* -1/8 v) -3/8) r) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (/ 2 (* r r)) (* (* w w) r) (* (* (* w w) r) r) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)))
3.0ms
w
@inf
((- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (* (* -1/4 (* w r)) w) (* -1/4 (* w r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (* (* (+ (* v -1/8) -3/8) w) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (+ (* (* (+ (* -1/8 v) -3/8) r) (* (* w w) r)) -3/2) (* (+ (* -1/8 v) -3/8) r) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (/ 2 (* r r)) (* (* w w) r) (* (* (* w w) r) r) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)))
3.0ms
w
@-inf
((- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (* (* -1/4 (* w r)) w) (* -1/4 (* w r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (* (* (+ (* v -1/8) -3/8) w) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (+ (* (* (+ (* -1/8 v) -3/8) r) (* (* w w) r)) -3/2) (* (+ (* -1/8 v) -3/8) r) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (/ 2 (* r r)) (* (* w w) r) (* (* (* w w) r) r) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)))

simplify206.0ms (1.8%)

Memory
-0.6MiB live, 261.2MiB allocated
Algorithm
egg-herbie
Rules
16 668×lower-fma.f64
16 668×lower-fma.f32
5 094×lower-*.f64
5 094×lower-*.f32
4 866×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031112330
199711914
2339211150
0818510429
Stop Event
iter limit
node limit
Counts
636 → 636
Calls
Call 1
Inputs
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2))) (pow r 2))
-3/2
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2))) (pow r 2))
-3/2
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(* r (- (* -1/8 v) 3/8))
(* r (- (* -1/8 v) 3/8))
(* r (- (* -1/8 v) 3/8))
(* r (- (* -1/8 v) 3/8))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
-3/2
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
(* r (- (* -1/8 v) 3/8))
(* r (- (* -1/8 v) 3/8))
(* r (- (* -1/8 v) 3/8))
(* r (- (* -1/8 v) 3/8))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
3
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
-3/2
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
(* r (- (* -1/8 v) 3/8))
(* r (- (* -1/8 v) 3/8))
(* r (- (* -1/8 v) 3/8))
(* r (- (* -1/8 v) 3/8))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
3
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
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(- (+ (* 2 (/ 1 (pow r 2))) (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))) 3/2)
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(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
Outputs
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) r) r) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) r) r) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)) r) r #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)) r) r #s(literal 2 binary64)) (*.f64 r r))
(* -1/4 (* r (pow w 2)))
(*.f64 (*.f64 (*.f64 w w) r) #s(literal -1/4 binary64))
(* -1/4 (* r (pow w 2)))
(*.f64 (*.f64 (*.f64 w w) r) #s(literal -1/4 binary64))
(* -1/4 (* r (pow w 2)))
(*.f64 (*.f64 (*.f64 w w) r) #s(literal -1/4 binary64))
(* -1/4 (* r (pow w 2)))
(*.f64 (*.f64 (*.f64 w w) r) #s(literal -1/4 binary64))
(* -1/4 (* r w))
(*.f64 (*.f64 w r) #s(literal -1/4 binary64))
(* -1/4 (* r w))
(*.f64 (*.f64 w r) #s(literal -1/4 binary64))
(* -1/4 (* r w))
(*.f64 (*.f64 w r) #s(literal -1/4 binary64))
(* -1/4 (* r w))
(*.f64 (*.f64 w r) #s(literal -1/4 binary64))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) r) r) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) r) r) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) r) r) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) r) r) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) r) r) (*.f64 w w) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) r) r) (*.f64 w w) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
-3/2
#s(literal -3/2 binary64)
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) r) r) (*.f64 w w) #s(literal -3/2 binary64))
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) r) r) (*.f64 w w) #s(literal -3/2 binary64))
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) r) r) (*.f64 w w) #s(literal -3/2 binary64))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) r) r) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) r) r) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) r) r) (*.f64 w w) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) r) r) (*.f64 w w) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
-3/2
#s(literal -3/2 binary64)
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) r) r) (*.f64 w w) #s(literal -3/2 binary64))
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) r) r) (*.f64 w w) #s(literal -3/2 binary64))
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) r) r) (*.f64 w w) #s(literal -3/2 binary64))
(* r (- (* -1/8 v) 3/8))
(*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) r)
(* r (- (* -1/8 v) 3/8))
(*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) r)
(* r (- (* -1/8 v) 3/8))
(*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) r)
(* r (- (* -1/8 v) 3/8))
(*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) r)
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) r) r) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) r) r) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) r) r) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) r) r) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) r) r) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) r) r) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) r) r) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) r) r) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(* r (pow w 2))
(*.f64 (*.f64 w w) r)
(* r (pow w 2))
(*.f64 (*.f64 w w) r)
(* r (pow w 2))
(*.f64 (*.f64 w w) r)
(* r (pow w 2))
(*.f64 (*.f64 w w) r)
(* (pow r 2) (pow w 2))
(*.f64 (*.f64 (*.f64 r r) w) w)
(* (pow r 2) (pow w 2))
(*.f64 (*.f64 (*.f64 r r) w) w)
(* (pow r 2) (pow w 2))
(*.f64 (*.f64 (*.f64 r r) w) w)
(* (pow r 2) (pow w 2))
(*.f64 (*.f64 (*.f64 r r) w) w)
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (*.f64 w w)) (*.f64 r r))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (*.f64 w w)) (*.f64 r r))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (*.f64 w w)) (*.f64 r r))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (*.f64 w w)) (*.f64 r r))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) r) r) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) r) r) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 r r) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 r r) #s(literal -3/2 binary64))
(* -1/4 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 w w) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) (*.f64 r r) #s(literal -3/2 binary64))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 w w) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) (*.f64 r r) #s(literal -3/2 binary64))
(* -1/4 (* r (pow w 2)))
(*.f64 (*.f64 (*.f64 w w) r) #s(literal -1/4 binary64))
(* -1/4 (* r (pow w 2)))
(*.f64 (*.f64 (*.f64 w w) r) #s(literal -1/4 binary64))
(* -1/4 (* r (pow w 2)))
(*.f64 (*.f64 (*.f64 w w) r) #s(literal -1/4 binary64))
(* -1/4 (* r (pow w 2)))
(*.f64 (*.f64 (*.f64 w w) r) #s(literal -1/4 binary64))
(* -1/4 (* r w))
(*.f64 (*.f64 w r) #s(literal -1/4 binary64))
(* -1/4 (* r w))
(*.f64 (*.f64 w r) #s(literal -1/4 binary64))
(* -1/4 (* r w))
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(fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(-.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) r) r) w) w (*.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)))) v) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))
(* -1/8 (* (pow r 2) (* v (pow w 2))))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) r) r) v) (*.f64 w w))
(* -1 (* v (+ (* -1 (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(*.f64 (neg.f64 v) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) r) r) w) w (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) r) r) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (neg.f64 v))))
(* -1 (* v (+ (* -1 (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(*.f64 (neg.f64 v) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) r) r) w) w (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) r) r) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (neg.f64 v))))
(* -1 (* v (+ (* -1 (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(*.f64 (neg.f64 v) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) r) r) w) w (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) r) r) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (neg.f64 v))))
(* -1/8 (* (pow r 2) (* v (pow w 2))))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) r) r) v) (*.f64 w w))
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal -3/2 binary64) v)) v)
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal -3/2 binary64) v)) v)
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal -3/2 binary64) v)) v)
(* -1/8 (* v (pow w 2)))
(*.f64 (*.f64 v (*.f64 w w)) #s(literal -1/8 binary64))
(* -1 (* v (+ (* 1/8 (pow w 2)) (* 3/8 (/ (pow w 2) v)))))
(*.f64 (*.f64 (*.f64 w w) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v))) v)
(* -1 (* v (+ (* 1/8 (pow w 2)) (* 3/8 (/ (pow w 2) v)))))
(*.f64 (*.f64 (*.f64 w w) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v))) v)
(* -1 (* v (+ (* 1/8 (pow w 2)) (* 3/8 (/ (pow w 2) v)))))
(*.f64 (*.f64 (*.f64 w w) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v))) v)
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(-.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) r) r) w) w (*.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)))) v) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))
(* -1/8 (* (pow r 2) (* v (pow w 2))))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) r) r) v) (*.f64 w w))
(* -1 (* v (+ (* -1 (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(*.f64 (neg.f64 v) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) r) r) w) w (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) r) r) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (neg.f64 v))))
(* -1 (* v (+ (* -1 (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(*.f64 (neg.f64 v) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) r) r) w) w (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) r) r) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (neg.f64 v))))
(* -1 (* v (+ (* -1 (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(*.f64 (neg.f64 v) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) r) r) w) w (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) r) r) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (neg.f64 v))))
(* -1/8 (* (pow r 2) (* v (pow w 2))))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) r) r) v) (*.f64 w w))
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal -3/2 binary64) v)) v)
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal -3/2 binary64) v)) v)
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal -3/2 binary64) v)) v)
(* -1/8 (* r v))
(*.f64 (*.f64 v r) #s(literal -1/8 binary64))
(* -1 (* v (+ (* 1/8 r) (* 3/8 (/ r v)))))
(*.f64 (*.f64 r (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v))) v)
(* -1 (* v (+ (* 1/8 r) (* 3/8 (/ r v)))))
(*.f64 (*.f64 r (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v))) v)
(* -1 (* v (+ (* 1/8 r) (* 3/8 (/ r v)))))
(*.f64 (*.f64 r (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v))) v)
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))))
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (+.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) r) r) w) w (*.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)))) v) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 3 binary64)))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(-.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) r) r) w) w (*.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)))) v) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))
(* 1/4 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w)
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) #s(literal -1/8 binary64)))
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (*.f64 (neg.f64 r) (*.f64 r (/.f64 (*.f64 w w) v))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) r) r) w) w (*.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)))) (neg.f64 v)))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(*.f64 (*.f64 v (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) (*.f64 w w))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) v)
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) v)
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) v)

rewrite324.0ms (2.8%)

Memory
-17.0MiB live, 235.6MiB allocated
Rules
4 526×lower-/.f32
4 522×lower-/.f64
3 906×lower-*.f32
3 886×lower-*.f64
3 174×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068530
096518
1409491
23252491
08794454
Stop Event
iter limit
node limit
iter limit
Counts
22 → 300
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w)
(*.f64 #s(literal -1/4 binary64) (*.f64 w r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64)))
(fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64))
#s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
#s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))
(*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
#s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))
(/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(*.f64 (*.f64 w w) r)
(*.f64 (*.f64 (*.f64 w w) r) r)
(*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) r) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) w) r) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))))
(*.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) w) r))))))
(pow.f64 (/.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) w) r) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) w) r)))) (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) r) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) r) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/4 binary64))) (neg.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) r) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 3/2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r))))) (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) w) r))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) r) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) r) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) r) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 27/8 binary64))) (neg.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) r) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) r) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal 9/4 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) r) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 3/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))))) (neg.f64 (neg.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) w) r) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) w) r)))))))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) r) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) r) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/4 binary64)) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) r) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 3/2 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)))) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) w) r)))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) r) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) r) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) r) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 27/8 binary64)) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) r) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) r) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal 9/4 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) r) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 3/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))) (neg.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) w) r) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))) (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) w) r))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) w) r) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) w) r)))) (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) w) r) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) w) r)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) w) r) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) w) r)))) (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (*.f64 (*.f64 w w) r) r)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))))
(fma.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) r) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(fma.f64 (*.f64 r (*.f64 (*.f64 w r) #s(literal -1/4 binary64))) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(fma.f64 (*.f64 r #s(literal -1/4 binary64)) (*.f64 (*.f64 w w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 2 binary64) r) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) w) r)))
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) w) r)))
(fma.f64 (*.f64 #s(literal -1/4 binary64) w) (*.f64 r (*.f64 w r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (*.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) w) r))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal 2 binary64) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) w) r)))
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(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 w w) r) r)) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) v)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))))
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) v))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) v))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) v))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 2 binary64) r))
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 r) r)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r r)))
(pow.f64 (/.f64 r (/.f64 #s(literal 2 binary64) r)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) r))) (neg.f64 (neg.f64 r)))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) r)) (neg.f64 r))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 r (/.f64 #s(literal 2 binary64) r))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 r) r))))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 r) r))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 r (/.f64 #s(literal 2 binary64) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal 1/2 binary64)))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 r) r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 r r)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 w w) r)
(*.f64 (*.f64 w r) w)
(*.f64 w (*.f64 w r))
(*.f64 r (*.f64 w w))
(*.f64 (*.f64 (*.f64 w w) r) r)
(*.f64 (*.f64 w w) (*.f64 r r))
(*.f64 (*.f64 r r) (*.f64 w w))
(*.f64 (*.f64 w r) (*.f64 w r))
(*.f64 w (*.f64 (*.f64 w r) r))
(*.f64 w (*.f64 w (*.f64 r r)))
(*.f64 r (*.f64 (*.f64 w w) r))
(pow.f64 (*.f64 w r) #s(literal 2 binary64))
(exp.f64 (fma.f64 (log.f64 w) #s(literal 2 binary64) (*.f64 (log.f64 r) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 r) #s(literal 2 binary64) (*.f64 (log.f64 w) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 w r)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 w w)) (*.f64 r r))
(*.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) r) (*.f64 (*.f64 w w) r))
(*.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 w w) r)) r)
(*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))
(*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r))
(*.f64 (*.f64 (*.f64 w w) r) (*.f64 r #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))))
(*.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))))
(*.f64 r (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 w w) r)))

eval237.0ms (2%)

Memory
30.4MiB live, 179.9MiB allocated
Compiler

Compiled 27 614 to 1 202 computations (95.6% saved)

prune149.0ms (1.3%)

Memory
-9.2MiB live, 219.7MiB allocated
Pruning

25 alts after pruning (20 fresh and 5 done)

PrunedKeptTotal
New9559964
Fresh61117
Picked235
Done022
Total96325988
Accuracy
100.0%
Counts
988 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.2%
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w r) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
45.0%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
53.4%
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
79.7%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) (*.f64 (*.f64 w r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
88.2%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
76.4%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
48.4%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))))
41.9%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
26.2%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
41.9%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
56.6%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
36.3%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) r) r) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))))
15.1%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
43.4%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -3/2 binary64))))
48.8%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) r) r #s(literal -3/2 binary64))))
45.2%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 w (*.f64 w (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r))) r #s(literal -3/2 binary64))))
48.8%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (+ (* -1/8 v) -3/8) r) (*.f64 #s(literal -3/8 binary64) r)) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
43.6%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64))))
70.4%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 v r) r))) (/.f64 #s(literal 3/2 binary64) v)) v)))
27.6%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r))))
49.3%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal -3/8 binary64)) w #s(literal -3/2 binary64)))))
54.7%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 w w) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) (*.f64 r r) #s(literal -3/2 binary64))))
42.8%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
33.3%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
56.1%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 w r) r) w))) (/.f64 #s(literal 3/2 binary64) (*.f64 w w))) (*.f64 w w))))
Compiler

Compiled 1 692 to 499 computations (70.5% saved)

regimes138.0ms (1.2%)

Memory
-9.3MiB live, 150.5MiB allocated
Counts
64 → 2
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal -3/8 binary64)) w #s(literal -3/2 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (+ (* -1/8 v) -3/8) r) (*.f64 #s(literal -3/8 binary64) r)) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) r) r #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 w (*.f64 w (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r))) r #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) r) r) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 w (*.f64 (*.f64 w r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) (*.f64 (*.f64 w r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 w r)) (*.f64 w r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 (*.f64 w w) r)) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w r) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 (*.f64 (*.f64 (*.f64 w r) r) w) (fma.f64 #s(literal 1/8 binary64) v #s(literal 3/8 binary64))))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 w r) r) w))) (/.f64 #s(literal 3/2 binary64) (*.f64 w w))) (*.f64 w w))))
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))
(-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
(-.f64 (fma.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 (*.f64 w (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) w) (neg.f64 r)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 v r) r))) (/.f64 #s(literal 3/2 binary64) v)) v)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (+.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/8 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 v (*.f64 r r)))) (/.f64 #s(literal 3/2 binary64) v)) v)))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) #s(literal -1/8 binary64))))) #s(literal 9/2 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (*.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64)) v)) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (*.f64 (neg.f64 v) (fma.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) w) w (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (neg.f64 v))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/4 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 1/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 w w)))) (*.f64 w w)))
(fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 w w) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 w w) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 w w) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 r r) #s(literal -3/2 binary64)))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Calls

6 calls:

36.0ms
r
23.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
23.0ms
w
17.0ms
v
16.0ms
(*.f64 w w)
Results
AccuracySegmentsBranch
99.1%2v
98.0%2w
98.3%2r
98.7%2(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
98.7%2(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
98.0%2(*.f64 w w)
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes62.0ms (0.5%)

Memory
21.3MiB live, 106.3MiB allocated
Counts
49 → 2
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal -3/8 binary64)) w #s(literal -3/2 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (+ (* -1/8 v) -3/8) r) (*.f64 #s(literal -3/8 binary64) r)) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) r) r #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 w (*.f64 w (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r))) r #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) r) r) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 w (*.f64 (*.f64 w r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) (*.f64 (*.f64 w r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 w r)) (*.f64 w r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 (*.f64 w w) r)) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w r) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 (*.f64 (*.f64 (*.f64 w r) r) w) (fma.f64 #s(literal 1/8 binary64) v #s(literal 3/8 binary64))))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 w r) r) w))) (/.f64 #s(literal 3/2 binary64) (*.f64 w w))) (*.f64 w w))))
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))
(-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
(-.f64 (fma.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 (*.f64 w (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) w) (neg.f64 r)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
Calls

4 calls:

16.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
15.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
14.0ms
v
13.0ms
r
Results
AccuracySegmentsBranch
98.3%2r
99.5%3(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
99.5%3(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
99.5%3v
Compiler

Compiled 70 to 48 computations (31.4% saved)

regimes84.0ms (0.7%)

Memory
-2.7MiB live, 152.6MiB allocated
Counts
47 → 3
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal -3/8 binary64)) w #s(literal -3/2 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (+ (* -1/8 v) -3/8) r) (*.f64 #s(literal -3/8 binary64) r)) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) r) r #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 w (*.f64 w (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r))) r #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) r) r) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 w (*.f64 (*.f64 w r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) (*.f64 (*.f64 w r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 w r)) (*.f64 w r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 (*.f64 w w) r)) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w r) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 (*.f64 (*.f64 (*.f64 w r) r) w) (fma.f64 #s(literal 1/8 binary64) v #s(literal 3/8 binary64))))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 w r) r) w))) (/.f64 #s(literal 3/2 binary64) (*.f64 w w))) (*.f64 w w))))
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))
(-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) (*.f64 (*.f64 w w) r)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w r) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
Calls

5 calls:

20.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
18.0ms
w
17.0ms
r
16.0ms
(*.f64 w w)
11.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Results
AccuracySegmentsBranch
99.5%3(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
99.5%3(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
97.5%3w
97.5%3(*.f64 w w)
99.5%3r
Compiler

Compiled 76 to 52 computations (31.6% saved)

regimes64.0ms (0.6%)

Memory
-6.6MiB live, 107.1MiB allocated
Counts
37 → 3
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal -3/8 binary64)) w #s(literal -3/2 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (+ (* -1/8 v) -3/8) r) (*.f64 #s(literal -3/8 binary64) r)) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) r) r #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 w (*.f64 w (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r))) r #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) r) r) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 w (*.f64 (*.f64 w r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) (*.f64 (*.f64 w r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 w r)) (*.f64 w r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 (*.f64 w w) r)) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 w r)) (*.f64 w r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
Calls

4 calls:

18.0ms
v
18.0ms
r
16.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
9.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Results
AccuracySegmentsBranch
99.5%3v
94.7%2r
96.9%3(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
96.9%3(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Compiler

Compiled 70 to 48 computations (31.4% saved)

regimes77.0ms (0.7%)

Memory
0.9MiB live, 87.0MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal -3/8 binary64)) w #s(literal -3/2 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (+ (* -1/8 v) -3/8) r) (*.f64 #s(literal -3/8 binary64) r)) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) r) r #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 w (*.f64 w (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r))) r #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) r) r) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 w (*.f64 (*.f64 w r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) w) (*.f64 (*.f64 w r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
Calls

5 calls:

32.0ms
(*.f64 w w)
13.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
10.0ms
v
10.0ms
w
9.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Results
AccuracySegmentsBranch
96.9%3(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
96.9%3(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
90.2%1w
90.2%1(*.f64 w w)
96.6%3v
Compiler

Compiled 76 to 52 computations (31.6% saved)

regimes38.0ms (0.3%)

Memory
-4.8MiB live, 71.1MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal -3/8 binary64)) w #s(literal -3/2 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (+ (* -1/8 v) -3/8) r) (*.f64 #s(literal -3/8 binary64) r)) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) r) r #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 w (*.f64 w (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r))) r #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
Calls

4 calls:

10.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
10.0ms
r
9.0ms
v
7.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Results
AccuracySegmentsBranch
92.5%2r
93.8%3v
94.4%3(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
94.4%3(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Compiler

Compiled 70 to 48 computations (31.4% saved)

regimes16.0ms (0.1%)

Memory
30.5MiB live, 30.5MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal -3/8 binary64)) w #s(literal -3/2 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (+ (* -1/8 v) -3/8) r) (*.f64 #s(literal -3/8 binary64) r)) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) r) r #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 w (*.f64 w (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r))) r #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) w) r (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
Calls

2 calls:

7.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
7.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Results
AccuracySegmentsBranch
94.4%3(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
94.4%3(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Compiler

Compiled 62 to 42 computations (32.3% saved)

regimes26.0ms (0.2%)

Memory
-37.9MiB live, 18.8MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal -3/8 binary64)) w #s(literal -3/2 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (+ (* -1/8 v) -3/8) r) (*.f64 #s(literal -3/8 binary64) r)) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) r) r #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 w (*.f64 w (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r))) r #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 w (*.f64 w (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r))) r #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
Calls

2 calls:

17.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
7.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Results
AccuracySegmentsBranch
94.2%3(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
94.2%3(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Compiler

Compiled 62 to 42 computations (32.3% saved)

regimes51.0ms (0.4%)

Memory
-7.4MiB live, 70.4MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal -3/8 binary64)) w #s(literal -3/2 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (+ (* -1/8 v) -3/8) r) (*.f64 #s(literal -3/8 binary64) r)) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) r) r #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 w (*.f64 w (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r))) r #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -3/2 binary64))))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 w (*.f64 w (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r))) r #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
Calls

6 calls:

17.0ms
r
8.0ms
w
7.0ms
v
6.0ms
(*.f64 w w)
6.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Results
AccuracySegmentsBranch
70.8%2w
70.8%2(*.f64 w w)
69.9%7v
88.6%3r
92.2%3(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
92.2%3(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes11.0ms (0.1%)

Memory
21.2MiB live, 21.2MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal -3/8 binary64)) w #s(literal -3/2 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (+ (* -1/8 v) -3/8) r) (*.f64 #s(literal -3/8 binary64) r)) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) r) r #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r))))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal -3/8 binary64)) w #s(literal -3/2 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
Calls

2 calls:

5.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
5.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Results
AccuracySegmentsBranch
91.3%3(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
91.3%3(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Compiler

Compiled 62 to 42 computations (32.3% saved)

regimes43.0ms (0.4%)

Memory
-21.3MiB live, 17.2MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal -3/8 binary64)) w #s(literal -3/2 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (*.f64 r r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 #s(approx (* (+ (* -1/8 v) -3/8) r) (*.f64 #s(literal -3/8 binary64) r)) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 #s(approx (* (* (+ (* v -1/8) -3/8) w) w) (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) r) r #s(literal -3/2 binary64))))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal -3/8 binary64)) w #s(literal -3/2 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
Calls

2 calls:

38.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
4.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Results
AccuracySegmentsBranch
89.1%2(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
89.1%2(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Compiler

Compiled 62 to 42 computations (32.3% saved)

regimes11.0ms (0.1%)

Memory
19.7MiB live, 19.7MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w r) (* (* w r) -1/4)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* (* -1/4 (* w r)) w) r) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
Calls

3 calls:

4.0ms
r
3.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
3.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Results
AccuracySegmentsBranch
80.5%2r
85.3%2(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
85.3%2(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Compiler

Compiled 66 to 45 computations (31.8% saved)

regimes16.0ms (0.1%)

Memory
-15.8MiB live, 25.8MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
Calls

6 calls:

5.0ms
w
2.0ms
v
2.0ms
r
2.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
2.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Results
AccuracySegmentsBranch
56.6%1v
56.6%1(*.f64 w w)
56.6%1w
56.6%1r
56.6%1(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
56.6%1(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes10.0ms (0.1%)

Memory
19.9MiB live, 19.9MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
Calls

6 calls:

2.0ms
r
2.0ms
v
2.0ms
w
1.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
1.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Results
AccuracySegmentsBranch
53.9%2(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
53.9%2(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
41.9%1v
44.5%2w
55.6%2r
41.9%1(*.f64 w w)
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes19.0ms (0.2%)

Memory
-23.2MiB live, 16.0MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
Calls

6 calls:

12.0ms
w
1.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
1.0ms
r
1.0ms
v
1.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Results
AccuracySegmentsBranch
15.1%1v
15.1%1(*.f64 w w)
15.1%1w
15.1%1(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
15.1%1(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
15.1%1r
Compiler

Compiled 80 to 55 computations (31.3% saved)

bsearch21.0ms (0.2%)

Memory
18.3MiB live, 18.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
-3.196044271976059e+133
-1.0517161061553404e+131
Samples
12.0ms128×0valid
Compiler

Compiled 467 to 308 computations (34% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (54.4% of total)
ival-sub: 2.0ms (21.7% of total)
ival-div: 1.0ms (10.9% of total)
ival-add: 1.0ms (10.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch6.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
4.0ms
3.416654182082265e-91
1.3184255364892066e-86
Samples
3.0ms32×0valid
Compiler

Compiled 141 to 100 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 1.0ms (43% of total)
ival-div: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.0
3.000000000000037
0.0ms
-inf
-2.5686461599630365e+292
Compiler

Compiled 35 to 28 computations (20% saved)

bsearch28.0ms (0.2%)

Memory
-11.4MiB live, 27.7MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
2.0ms
4.614339357720409e-10
5.448815631005839e-9
22.0ms
-27914572.494860236
-56048.34193254651
Samples
18.0ms144×0valid
Compiler

Compiled 440 to 280 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sub: 7.0ms (47.4% of total)
ival-mult: 5.0ms (33.9% of total)
ival-div: 2.0ms (13.5% of total)
ival-add: 1.0ms (6.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-16917876506.879566
3.0
0.0ms
-inf
-2.5686461599630365e+292
Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-26299062715778.805
-16917876506.879566
0.0ms
-inf
-2.5686461599630365e+292
Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-26299062715778.805
-16917876506.879566
0.0ms
-inf
-2.5686461599630365e+292
Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.0
3.000000000000037
0.0ms
-inf
-2.5686461599630365e+292
Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.0
3.000000000000037
0.0ms
-inf
-2.5686461599630365e+292
Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.0
3.000000000000037
0.0ms
-1.1150681040017555e+212
-8.439580991857277e+207
Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.0
3.000000000000037
Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-16917876506.879566
3.0
Compiler

Compiled 35 to 28 computations (20% saved)

bsearch45.0ms (0.4%)

Memory
-17.1MiB live, 19.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
0.006299339227861312
0.024858315527159683
Samples
8.0ms80×0valid
Compiler

Compiled 120 to 88 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (50.7% of total)
ival-div: 1.0ms (16.9% of total)
ival-sub: 1.0ms (16.9% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify38.0ms (0.3%)

Memory
8.5MiB live, 49.7MiB allocated
Algorithm
egg-herbie
Rules
454×unsub-neg_binary64
304×neg-mul-1_binary64
156×distribute-lft-neg-in_binary64
142×*-commutative_binary64
140×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01632162
12212162
22812162
33512162
44302162
55062162
66962162
710422162
812322162
912502162
1012512162
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 v #s(literal -111999999999999994875102904639437137055880020783102474413925445241572491519924645212961744370782752294311761847661731421309508780032 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(if (<=.f64 r #s(literal 7167183174968973/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w r) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))))
(if (<=.f64 v #s(literal -57000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (if (<=.f64 v #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 w r)) (*.f64 w r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -10000000000 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) #s(literal 9/2 binary64))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -20000000000000 binary64)) (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -20000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 w (*.f64 w (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r))) r #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (fma.f64 (*.f64 w (*.f64 w (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r))) r #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -99999999999999990959401044767537593501656918740576398586892792465272451027953301036534141738485988029569553038510666318680865279842887243162229186843277653306392406169861934038413548670665077684456779836676898816 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal -3/8 binary64)) w #s(literal -3/2 binary64))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal -3/8 binary64)) w #s(literal -3/2 binary64))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -10000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(if (<=.f64 r #s(literal 3458764513820541/144115188075855872 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))
Outputs
(if (<=.f64 v #s(literal -111999999999999994875102904639437137055880020783102474413925445241572491519924645212961744370782752294311761847661731421309508780032 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(if (<=.f64 v #s(literal -111999999999999994875102904639437137055880020783102474413925445241572491519924645212961744370782752294311761847661731421309508780032 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 w r) (*.f64 w r)) (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(if (<=.f64 r #s(literal 7167183174968973/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)))
(if (<=.f64 r #s(literal 7167183174968973/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)))) #s(literal 9/2 binary64)))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 (*.f64 w r) #s(literal -1/4 binary64)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w r) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))))
(if (<=.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (if (<=.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w r) w) r) #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))))
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(if (<=.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal -99999999999999990959401044767537593501656918740576398586892792465272451027953301036534141738485988029569553038510666318680865279842887243162229186843277653306392406169861934038413548670665077684456779836676898816 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w r) (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) (if (<=.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal -3/8 binary64)) w #s(literal -3/2 binary64))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal -3/8 binary64)) w #s(literal -3/2 binary64))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(if (<=.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) #s(approx (+ (* (* (* (+ (* v -1/8) -3/8) w) w) (* r r)) -3/2) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal -3/8 binary64)) w #s(literal -3/2 binary64))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -10000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(if (<=.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal -10000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) w) w))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(if (<=.f64 r #s(literal 3458764513820541/144115188075855872 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))

soundness2.1s (17.7%)

Memory
11.9MiB live, 1 495.9MiB allocated
Rules
16 938×lower-fma.f64
16 938×lower-fma.f32
16 896×lower-fma.f64
16 896×lower-fma.f32
14 382×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02274018
17453856
225833578
082063390
036613219
1118512699
2386611866
0891711120
061420
094377
1403377
22822377
08326354
063450
094448
1415419
23590419
08715382
068530
096518
1409491
23252491
08794454
031311934
1100711530
2345110778
0830610098
022114
036114
1149104
21353104
0896594
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 813 to 672 computations (62.9% saved)

preprocess261.0ms (2.2%)

Memory
22.1MiB live, 279.5MiB allocated
Remove

(abs w)

(abs r)

Compiler

Compiled 2 534 to 432 computations (83% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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