Rosa's TurbineBenchmark

Time bar (total: 13.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze136.0ms (1%)

Memory
-10.1MiB live, 291.6MiB 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 (14.3%)

Memory
-155.4MiB live, 1 995.5MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 994.0ms
ival-mult: 495.0ms (49.8% of total)
ival-sub: 217.0ms (21.8% of total)
ival-div: 171.0ms (17.2% of total)
ival-add: 85.0ms (8.6% of total)
exact: 17.0ms (1.7% of total)
ival-true: 6.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain344.0ms (2.5%)

Memory
-18.2MiB live, 659.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
310-1(-1.8279808411751613e+66 1.6169919068992743e-159 -2.1318636431491114e+242)(*.f64 (*.f64 w w) r)
130-1(1.31807196796788e-216 2.6972156780324587e-301 3.4760001117589426e+284)(*.f64 (*.f64 (*.f64 w w) r) r)
110-0-(/.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))
90-2(3.0406356340358323e+254 -1.3501796923013587e+140 -3.351904976456117e-299)(*.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))
50-0-(/.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*o170
/.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/n110
(*.f64 (*.f64 w w) r)overflow68
(*.f64 w w)overflow66
(*.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))overflow89
(*.f64 (*.f64 (*.f64 w w) r) r)overflow78
*.f64(*.f64 (*.f64 (*.f64 w w) r) r)n*o70
*.f64(*.f64 (*.f64 w w) r)n*u40
Confusion
Predicted +Predicted -
+361
-0219
Precision
1.0
Recall
0.972972972972973
Confusion?
Predicted +Predicted MaybePredicted -
+3601
-00219
Precision?
1.0
Recall?
0.972972972972973
Freqs
test
numberfreq
0220
133
23
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
84.0ms512×0valid
Compiler

Compiled 328 to 70 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 29.0ms (49.7% of total)
ival-sub: 19.0ms (32.5% of total)
ival-div: 6.0ms (10.3% of total)
ival-add: 2.0ms (3.4% of total)
ival-true: 1.0ms (1.7% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)

preprocess299.0ms (2.2%)

Memory
11.5MiB live, 498.9MiB 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))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64)))
Symmetry

(abs r)

(abs w)

Compiler

Compiled 32 to 22 computations (31.3% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.1%
(-.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))
Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify352.0ms (2.5%)

Memory
-24.6MiB live, 328.1MiB 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))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) #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)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) #s(literal 3 binary64)))
(+.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 r r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 w w)) (-.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 (*.f64 r r) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 w w)))
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))
#s(literal 1/8 binary64)
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) v)
v
(*.f64 (*.f64 (*.f64 w w) r) r)
(*.f64 r (*.f64 r (*.f64 w w)))
(*.f64 (*.f64 w w) r)
(*.f64 r (*.f64 w w))
(*.f64 w w)
w
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)

localize62.0ms (0.4%)

Memory
-1.7MiB live, 120.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy1.8041734539484346
(*.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))
accuracy2.5937710296463914
(/.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))
accuracy2.797862395304011
(*.f64 (*.f64 (*.f64 w w) r) r)
accuracy7.081831111975475
(*.f64 (*.f64 w w) r)
Samples
35.0ms256×0valid
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 (52.2% 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)

series31.0ms (0.2%)

Memory
36.6MiB live, 73.6MiB 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 (*.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 (*.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>) () ())
Outputs
#s(alt 3/8 (taylor 0 v) (#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 (+ 3/8 (* -1/4 v)) (taylor 0 v) (#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 (+ 3/8 (* -1/4 v)) (taylor 0 v) (#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 (+ 3/8 (* -1/4 v)) (taylor 0 v) (#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 (* -1/4 v) (taylor inf v) (#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 (* v (- (* 3/8 (/ 1 v)) 1/4)) (taylor inf v) (#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 (* v (- (* 3/8 (/ 1 v)) 1/4)) (taylor inf v) (#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 (* v (- (* 3/8 (/ 1 v)) 1/4)) (taylor inf v) (#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 (* -1/4 v) (taylor -inf v) (#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>) () ())) ())
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#s(alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) (taylor 0 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) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) (taylor 0 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) (* v (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 (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) (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 (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) (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 (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) (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) (* v (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 (* 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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor 0 w) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor 0 w) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor 0 w) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor 0 w) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor inf w) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor inf w) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor inf w) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor inf w) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf w) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf w) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf w) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf w) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor 0 r) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor 0 r) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor 0 r) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor 0 r) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor inf r) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor inf r) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor inf r) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor inf r) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf r) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf r) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf r) (#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 (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf r) (#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>) () ())) ())
Calls

54 calls:

TimeVariablePointExpression
3.0ms
v
@0
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))
2.0ms
r
@0
(* (* w w) r)
1.0ms
w
@0
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
1.0ms
v
@0
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
1.0ms
r
@0
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)

simplify349.0ms (2.5%)

Memory
-11.6MiB live, 428.1MiB 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
225803578
082123390
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
3/8
(+ 3/8 (* -1/4 v))
(+ 3/8 (* -1/4 v))
(+ 3/8 (* -1/4 v))
(* -1/4 v)
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* -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 (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))
(* -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))))))
(* -1/8 (/ (* (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))))))
(- (* 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)))))
(- (* 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)))))))
(- (* 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)
(- (+ (* -1/8 (/ (* (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)))
(* (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) (- (/ 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))))))
(/ 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))
(* -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)))
(* (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)))))
(- (+ 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 (* 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))))))
(- (+ 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))))
(+ 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)))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 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)))
(* (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)))))
3
(+ 3 (* -2 v))
(+ 3 (* -2 v))
(+ 3 (* -2 v))
(* -2 v)
(* v (- (* 3 (/ 1 v)) 2))
(* v (- (* 3 (/ 1 v)) 2))
(* v (- (* 3 (/ 1 v)) 2))
(* -2 v)
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 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))
(* (pow r 2) (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))
(* (pow r 2) (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))
(* (pow r 2) (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))
(* (pow r 2) (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))
(* 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 (* (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 (/ (+ (* -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))))
(* 1/8 (/ (* (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)))
(* 1/8 (/ (* (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)))
(* 1/8 (/ (* (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)))
(* 1/8 (/ (* (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)))
(* 1/8 (/ (* (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 (* (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))))
(* -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) (* 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))))))
(* 1/8 (* (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)))))
(* 1/8 (* (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)))))
(* 1/8 (* (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)))))
(* 1/8 (* (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)))))
(* 1/8 (* (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)))))
Outputs
3/8
#s(literal 3/8 binary64)
(+ 3/8 (* -1/4 v))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(+ 3/8 (* -1/4 v))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(+ 3/8 (* -1/4 v))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(* -1/4 v)
(*.f64 #s(literal -1/4 binary64) v)
(* v (- (* 3/8 (/ 1 v)) 1/4))
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))
(* -1/4 v)
(*.f64 #s(literal -1/4 binary64) v)
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #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 (*.f64 r r) (fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) #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 (*.f64 r r) (fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.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 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.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 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.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))))))
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(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(*.f64 (*.f64 #s(literal -1/4 binary64) v) (*.f64 r (*.f64 r (*.f64 w w))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(*.f64 (*.f64 #s(literal -1/4 binary64) v) (*.f64 r (*.f64 r (*.f64 w w))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))

rewrite380.0ms (2.7%)

Memory
-1.9MiB live, 598.4MiB 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 (*.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))
Outputs
(+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))))
(+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 27 binary64) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64))) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 27 binary64) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))) (neg.f64 (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal 27/512 binary64) (pow.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 9/64 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))))))
(/.f64 (+.f64 #s(literal 27/512 binary64) (pow.f64 (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 9/64 binary64) (-.f64 (*.f64 (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))))))
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))
(+.f64 #s(literal 3 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal -9/2 binary64)))
(+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))
(+.f64 #s(literal 3 binary64) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.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))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.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))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
(+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal -9/2 binary64))
(+.f64 #s(literal -9/2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
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(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) #s(literal 1/8 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w)))
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 w w)) (*.f64 r r))
(*.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 1/8 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))

eval88.0ms (0.6%)

Memory
24.4MiB live, 210.7MiB allocated
Compiler

Compiled 29 622 to 2 013 computations (93.2% saved)

prune108.0ms (0.8%)

Memory
-25.2MiB live, 251.5MiB allocated
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New59619615
Fresh000
Picked101
Done000
Total59719616
Accuracy
100.0%
Counts
616 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.8%
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))
94.3%
(-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64))
46.5%
(-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 w (*.f64 r w))))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 w (*.f64 r w))))))) #s(literal 9/2 binary64))
55.4%
(-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
92.0%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
94.0%
(-.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 w (*.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
86.1%
(-.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))
96.8%
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
46.4%
(-.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))
72.2%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
51.1%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)))
43.9%
#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)))
78.7%
#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 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
75.2%
#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 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))
72.2%
#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 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
87.4%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
55.6%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
61.5%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))))
38.7%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))))
Compiler

Compiled 1 054 to 660 computations (37.4% saved)

simplify490.0ms (3.5%)

Memory
44.1MiB live, 438.1MiB 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 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.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 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
cost-diff320
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
cost-diff0
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))
cost-diff0
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64))))
cost-diff0
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
cost-diff128
(-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64))
cost-diff0
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w)
cost-diff0
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff0
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.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 -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
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-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-diff192
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
cost-diff320
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
Rules
23 500×lower-fma.f32
23 492×lower-fma.f64
6 914×lower-*.f32
6 888×lower-*.f64
2 538×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059563
092556
1211543
2524539
32304539
46125539
08381514
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(+.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
(fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
#s(literal 1/8 binary64)
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
v
#s(literal -2 binary64)
(*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(*.f64 w (*.f64 r w))
w
(*.f64 r w)
(/.f64 r (-.f64 #s(literal 1 binary64) v))
(-.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) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(literal -3/2 binary64)
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w)
(*.f64 #s(literal -1/4 binary64) (*.f64 r r))
#s(literal -1/4 binary64)
(*.f64 r r)
r
w
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #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))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64))
(*.f64 r (*.f64 r (*.f64 w w)))
(*.f64 r (*.f64 w w))
(*.f64 w w)
w
(-.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 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 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.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 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.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 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w)))
(*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r)
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
#s(literal 1/8 binary64)
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
v
#s(literal -2 binary64)
(*.f64 w (*.f64 r w))
w
(*.f64 r w)
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)
Outputs
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w))) (/.f64 r (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64)))
(+.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
(fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(fma.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 w (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w))) #s(literal 9/2 binary64))
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))
#s(literal 1/8 binary64)
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
v
#s(literal -2 binary64)
(*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))
(*.f64 w (*.f64 r w))
w
(*.f64 r w)
(/.f64 r (-.f64 #s(literal 1 binary64) v))
(-.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) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.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)) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -3/2 binary64))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -3/2 binary64)))
#s(literal -3/2 binary64)
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(fma.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w)
(*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w)))
(*.f64 #s(literal -1/4 binary64) (*.f64 r r))
(*.f64 r (*.f64 r #s(literal -1/4 binary64)))
#s(literal -1/4 binary64)
(*.f64 r r)
r
w
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(+.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 r w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #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))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64))))
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 r w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal 3 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 r w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal 3 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64))
(fma.f64 (*.f64 w (*.f64 r w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal 3 binary64))
(*.f64 r (*.f64 r (*.f64 w w)))
(*.f64 r (*.f64 w (*.f64 r w)))
(*.f64 r (*.f64 w w))
(*.f64 w (*.f64 r w))
(*.f64 w w)
w
(-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64))
(fma.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 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 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w))) (/.f64 r (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64)))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w))) (/.f64 r (+.f64 v #s(literal -1 binary64))) #s(literal 3 binary64)))
(+.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 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))
(/.f64 (*.f64 r (*.f64 w (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)))) (-.f64 #s(literal 1 binary64) v))
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w)))
(*.f64 r (*.f64 w (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w))))
(*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r)
(*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))
#s(literal 1/8 binary64)
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
v
#s(literal -2 binary64)
(*.f64 w (*.f64 r w))
w
(*.f64 r w)
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)

localize272.0ms (2%)

Memory
-1.0MiB live, 239.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.140625
(*.f64 w (*.f64 r w))
accuracy0.7439421498149871
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy2.5937710296463914
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))
accuracy4.023035849668057
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w)))
accuracy0.7439421498149871
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy2.797862395304011
(*.f64 r (*.f64 r (*.f64 w w)))
accuracy7.081831111975475
(*.f64 r (*.f64 w w))
accuracy13.85726945801166
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64))))
accuracy0.7439421498149871
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy1.6646625238682862
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))
accuracy3.8051618129219773
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
accuracy8.068988005496696
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w)
accuracy0
(*.f64 r r)
accuracy0.7439421498149871
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy35.88468103524077
#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)))
accuracy0.04296875
(fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
accuracy0.140625
(*.f64 w (*.f64 r w))
accuracy0.7439421498149871
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy5.4003965615153815
(*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
Samples
145.0ms240×0valid
8.0ms2valid
4.0ms1valid
Compiler

Compiled 517 to 56 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-mult: 63.0ms (69.9% of total)
ival-sub: 9.0ms (10% of total)
ival-add: 8.0ms (8.9% of total)
ival-div: 7.0ms (7.8% of total)
adjust: 2.0ms (2.2% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series94.0ms (0.7%)

Memory
-35.7MiB live, 172.2MiB allocated
Counts
23 → 636
Calls
Call 1
Inputs
#s(alt (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #<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 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.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) (/.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 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) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.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 -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (patch (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) (patch (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) #<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 (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) (patch (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))) (patch #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.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 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.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 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.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 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())
#s(alt (*.f64 w (*.f64 r w)) (patch (*.f64 w (*.f64 r w)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())
#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (patch (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())
Outputs
#s(alt 3/8 (taylor 0 v) (#s(alt (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3/8 (* -1/4 v)) (taylor 0 v) (#s(alt (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3/8 (* -1/4 v)) (taylor 0 v) (#s(alt (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3/8 (* -1/4 v)) (taylor 0 v) (#s(alt (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 v) (taylor inf v) (#s(alt (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ (* 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))))) (taylor inf v) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.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)) (+ (* 1/8 (/ (- (* -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)))))) (taylor inf v) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.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 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.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 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.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 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.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 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor 0 r) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor 0 r) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor 0 r) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor 0 r) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor inf r) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor inf r) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor inf r) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor inf r) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor -inf r) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor -inf r) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor -inf r) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor -inf r) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor 0 w) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor 0 w) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor 0 w) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor 0 w) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor inf w) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor inf w) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor inf w) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor inf w) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor -inf w) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor -inf w) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor -inf w) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor -inf w) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
Calls

159 calls:

TimeVariablePointExpression
3.0ms
r
@0
(+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))))
2.0ms
r
@0
(- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v)))
1.0ms
w
@0
(- (+ 3 (/ 2 (* r r))) (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2))
1.0ms
v
@inf
(+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3))
1.0ms
v
@0
(+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3))

simplify530.0ms (3.8%)

Memory
43.4MiB live, 543.0MiB allocated
Algorithm
egg-herbie
Rules
19 762×lower-fma.f64
19 762×lower-fma.f32
5 676×lower-*.f64
5 676×lower-*.f32
4 080×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038612866
1128012146
2427211810
0845411038
Stop Event
iter limit
node limit
Counts
636 → 636
Calls
Call 1
Inputs
3/8
(+ 3/8 (* -1/4 v))
(+ 3/8 (* -1/4 v))
(+ 3/8 (* -1/4 v))
(* -1/4 v)
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* -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 (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))
(* -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))))))
(* -1/8 (/ (* (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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(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2))
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(- (+ 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))))
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(* -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)))
(* (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)))))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
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(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(* (pow r 2) (pow w 2))
(+ (* (pow r 2) (* v (pow w 2))) (* (pow r 2) (pow w 2)))
(+ (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2)))
(+ (* v (- (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2)))
(* -1 (/ (* (pow r 2) (pow w 2)) v))
(/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)
(/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 2)))) (/ (* (pow r 2) (pow w 2)) v)) v)
(/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 3)))) (+ (/ (* (pow r 2) (pow w 2)) v) (/ (* (pow r 2) (pow w 2)) (pow v 2)))) v)
(* -1 (/ (* (pow r 2) (pow w 2)) v))
(* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) (pow w 2)) v) (* -1 (* (pow r 2) (pow w 2)))) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v))
(* r (pow w 2))
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(* r (pow w 2))
(* r (pow w 2))
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(* r (pow w 2))
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(+ 9/2 (+ (* 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)))))))))))
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(+ 9/2 (+ (* 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)))))))
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))
(+ 9/2 (+ (* -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)))))
(+ 9/2 (+ (* -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)))))
(+ 9/2 (+ (* -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)))))
9/2
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))
(+ 9/2 (* 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)))
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))
9/2
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))
(+ 9/2 (* 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)))
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 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))
(* (pow r 2) (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))
(* (pow r 2) (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))
(* (pow r 2) (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))
(* (pow r 2) (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))
(* 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))))
(* -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) (* 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))))))
(* 1/8 (* (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)))))
(* 1/8 (* (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)))))
(* 1/8 (* (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)))))
(* 1/8 (* (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)))))
(* 1/8 (* (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)))))
(* 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 (* (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 (/ (+ (* -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))))
(* 1/8 (/ (* (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)))
(* 1/8 (/ (* (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)))
(* 1/8 (/ (* (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)))
(* 1/8 (/ (* (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)))
(* 1/8 (/ (* (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)))
Outputs
3/8
#s(literal 3/8 binary64)
(+ 3/8 (* -1/4 v))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(+ 3/8 (* -1/4 v))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(+ 3/8 (* -1/4 v))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(* -1/4 v)
(*.f64 #s(literal -1/4 binary64) v)
(* v (- (* 3/8 (/ 1 v)) 1/4))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
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(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(*.f64 v (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (*.f64 (*.f64 r r) (*.f64 (/.f64 (*.f64 w w) v) #s(literal 3/8 binary64)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(* 3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)))
(+ (* 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))))
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 v #s(literal 1/8 binary64))))
(+ (* 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))))))))
(fma.f64 #s(literal 3/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 1/8 binary64)))))
(+ (* 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))))))))))
(fma.f64 v (fma.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/8 binary64)))) (*.f64 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r))))
(* 1/4 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))
(+ (* 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 #s(literal 1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/8 binary64))) v))
(+ (* 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 r r) (fma.f64 w w (/.f64 (*.f64 w w) v))) v) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 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 #s(literal -1/8 binary64) (*.f64 (*.f64 r r) (/.f64 (*.f64 w w) v)) (fma.f64 #s(literal 1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 r r) (fma.f64 w w (/.f64 (*.f64 w w) v)))) (*.f64 v v))))
(* 1/4 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))
(+ (* -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 #s(literal 1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/8 binary64))) v))
(+ (* -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 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 r r) (fma.f64 w w (/.f64 (*.f64 w w) v))) v) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 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 #s(literal 1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 r r) (fma.f64 w w (/.f64 (*.f64 w w) v))) v) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/8 binary64)))) v))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 w w) (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))

rewrite410.0ms (2.9%)

Memory
-3.3MiB live, 356.4MiB allocated
Rules
3 990×lower-*.f32
3 964×lower-*.f64
3 696×lower-/.f32
3 690×lower-/.f64
3 400×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059422
092415
1424371
23350371
08215340
Stop Event
iter limit
node limit
iter limit
Counts
23 → 731
Calls
Call 1
Inputs
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.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 #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) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w)
(-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #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))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.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 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(*.f64 w (*.f64 r w))
(fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(*.f64 r (*.f64 w w))
(*.f64 r (*.f64 r (*.f64 w w)))
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))
Outputs
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))
(+.f64 (*.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64))
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 v #s(literal 1/8 binary64)) #s(literal 3/8 binary64))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(fma.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64) #s(literal 3/8 binary64))
(fma.f64 (*.f64 #s(literal 1/8 binary64) v) #s(literal -2 binary64) #s(literal 3/8 binary64))
(/.f64 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal -1/64 binary64) #s(literal 27/512 binary64)) (fma.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 v #s(literal -1/4 binary64)) (-.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 v #s(literal -1/4 binary64))) #s(literal 9/64 binary64)) (-.f64 (*.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64))) (-.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 v #s(literal -6 binary64))))
(/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #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 (*.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 v #s(literal -6 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #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 (*.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64)) #s(literal 1/8 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))) #s(literal 1/8 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal -1/64 binary64) #s(literal 27/512 binary64))) (neg.f64 (fma.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 v #s(literal -1/4 binary64)) (-.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 v #s(literal -1/4 binary64)) (*.f64 v #s(literal -1/4 binary64))) #s(literal 9/64 binary64))) (neg.f64 (-.f64 (*.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 v #s(literal -6 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #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 (*.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64)))) (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 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))) (neg.f64 (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 v #s(literal -6 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #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 (*.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64)) #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 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64))))
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))
(+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(+.f64 #s(literal 3 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal -9/2 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.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))) (fma.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal -9/2 binary64)))
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(+.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal -9/2 binary64))
(+.f64 #s(literal -9/2 binary64) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))))
(+.f64 (fma.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal -9/2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) #s(literal 3 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.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 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))
(-.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))) (fma.f64 #s(literal 9/2 binary64) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 81/4 binary64)))) (/.f64 #s(literal 729/8 binary64) (fma.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))) (fma.f64 #s(literal 9/2 binary64) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 81/4 binary64)))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (fma.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (+.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))))) (/.f64 (*.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (*.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) (fma.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (+.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v))))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))) (/.f64 #s(literal 81/4 binary64) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (+.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))) (/.f64 (*.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) (+.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.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(literal 9/2 binary64)) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r r))) (+.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal -9/2 binary64))))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r r))) (-.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r r)) (+.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal -9/2 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
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eval323.0ms (2.3%)

Memory
-3.6MiB live, 466.4MiB allocated
Compiler

Compiled 65 303 to 2 921 computations (95.5% saved)

prune255.0ms (1.8%)

Memory
-11.1MiB live, 478.9MiB allocated
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New1 696181 714
Fresh11314
Picked415
Done000
Total1 711221 733
Accuracy
100.0%
Counts
1 733 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.8%
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
40.4%
(-.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))))) #s(literal 9/2 binary64))
50.0%
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
46.4%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
43.9%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))) #s(literal -9 binary64)) r (*.f64 (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal -3 binary64)) (/.f64 #s(literal 2 binary64) r))) (*.f64 (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal -3 binary64)) r))) #s(literal 9/2 binary64))
83.8%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(approx (- (* v -1/8) 3/8) #s(literal -3/8 binary64)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
30.8%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
25.7%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))))) #s(literal 9/2 binary64))
54.7%
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
51.1%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)))
87.5%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)))
55.6%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
92.5%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
84.4%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r #s(literal -1/4 binary64)) (*.f64 r (*.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
43.9%
#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))
43.9%
#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)))
78.7%
#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 (*.f64 w w) (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
72.2%
#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 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
61.3%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))))
38.7%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))))
42.9%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64))))
38.4%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))))))
Compiler

Compiled 1 039 to 604 computations (41.9% saved)

simplify196.0ms (1.4%)

Memory
15.3MiB live, 366.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))
cost-diff0
(+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))))
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))))
cost-diff640
(*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))
cost-diff0
(*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w)
cost-diff0
(fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff0
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)))
cost-diff0
(*.f64 r #s(literal -3/2 binary64))
cost-diff0
(fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64))
cost-diff0
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)))
cost-diff0
(*.f64 r r)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff0
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
cost-diff0
(*.f64 r (*.f64 r w))
cost-diff0
(*.f64 w #s(literal -1/4 binary64))
cost-diff0
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.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 #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
Rules
10 720×lower-fma.f32
10 712×lower-fma.f64
7 016×lower-*.f32
6 994×lower-*.f64
1 656×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068514
096511
1224501
2512491
31685482
45622482
08447465
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 #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(*.f64 w #s(literal -1/4 binary64))
w
#s(literal -1/4 binary64)
(*.f64 r (*.f64 r w))
r
(*.f64 r w)
(+.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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 #s(literal -3/2 binary64) (/.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(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))
(fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64))
r
(*.f64 r #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
#s(literal 2 binary64)
(*.f64 r r)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)))
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w)
(*.f64 (*.f64 r r) #s(literal -3/8 binary64))
(*.f64 r r)
r
#s(literal -3/8 binary64)
w
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 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) (+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))))
(+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))))
#s(literal -3/2 binary64)
#s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))
(*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))
(*.f64 w w)
w
(fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))
#s(literal -1/4 binary64)
(*.f64 r r)
r
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))
#s(literal 2 binary64)
(*.f64 r (*.f64 r (*.f64 w w)))
(*.f64 r (*.f64 w w))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r 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) (+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(*.f64 w #s(literal -1/4 binary64))
w
#s(literal -1/4 binary64)
(*.f64 r (*.f64 r w))
r
(*.f64 r w)
(+.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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #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) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #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 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))
(fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64))
r
(*.f64 r #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
#s(literal 2 binary64)
(*.f64 r r)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.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 w (*.f64 (*.f64 r (*.f64 r w)) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 w (*.f64 (*.f64 r (*.f64 r w)) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(fma.f64 w (*.f64 (*.f64 r (*.f64 r w)) #s(literal -3/8 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w)
(*.f64 (*.f64 r (*.f64 r w)) #s(literal -3/8 binary64))
(*.f64 (*.f64 r r) #s(literal -3/8 binary64))
(*.f64 r r)
r
#s(literal -3/8 binary64)
w
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 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) (+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
(+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))))
(+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
#s(literal -3/2 binary64)
#s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))
#s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))
(fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(*.f64 w w)
w
(fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))
(fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))
#s(literal -1/4 binary64)
(*.f64 r r)
r
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))
#s(literal 2 binary64)
(*.f64 r (*.f64 r (*.f64 w w)))
(*.f64 r (*.f64 w w))

localize168.0ms (1.2%)

Memory
7.0MiB live, 331.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy2.797862395304011
(*.f64 r (*.f64 r (*.f64 w w)))
accuracy3.8051618129219773
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))))
accuracy7.081831111975475
(*.f64 r (*.f64 w w))
accuracy18.046767652099177
(*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))
accuracy0.7439421498149871
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy1.6996500534898145
(fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))
accuracy4.452069861004373
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)))
accuracy8.078366921924898
(*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w)
accuracy0
(*.f64 r #s(literal -3/2 binary64))
accuracy0.0703125
(fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64))
accuracy17.75585542416129
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))
accuracy28.392080810673445
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)))
accuracy0
(*.f64 r r)
accuracy0.006191259768442017
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
accuracy0.7439421498149871
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy28.392080810673445
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
accuracy0.09375
(*.f64 r (*.f64 r w))
accuracy0.7439421498149871
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy1.6568500238682862
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
accuracy3.8051618129219773
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
Samples
91.0ms256×0valid
Compiler

Compiled 395 to 63 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 40.0ms (57.5% of total)
ival-add: 12.0ms (17.3% of total)
ival-sub: 9.0ms (12.9% of total)
ival-div: 8.0ms (11.5% of total)
exact: 1.0ms (1.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series181.0ms (1.3%)

Memory
-11.1MiB live, 66.1MiB allocated
Counts
22 → 504
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 #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.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 #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (patch (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 w #s(literal -1/4 binary64)) (patch (*.f64 w #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 r (*.f64 r w)) (patch (*.f64 r (*.f64 r w)) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch (+.f64 #s(literal -3/2 binary64) (/.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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) (patch (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #<representation binary64>) () ())
#s(alt (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (patch (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 r #s(literal -3/2 binary64)) (patch (*.f64 r #s(literal -3/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) (patch (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) (patch (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))) (patch (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.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) (+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))) (patch (+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) (patch #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) #<representation binary64>) () ())
#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())
#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<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 #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.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 #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.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 #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.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 #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.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 #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.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 #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.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 #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.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 #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (taylor inf 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 #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.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 #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor inf 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 #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.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 #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor inf 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 #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.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 #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (taylor inf w) (#s(alt #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) (patch #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (taylor -inf w) (#s(alt #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) (patch #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))) #<representation binary64>) () ())) ())
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#s(alt (* r (pow w 2)) (taylor 0 r) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor 0 r) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor 0 r) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor 0 r) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor inf r) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor inf r) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor inf r) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor inf r) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor -inf r) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor -inf r) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor -inf r) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor -inf r) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor 0 w) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor 0 w) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor 0 w) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor 0 w) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor inf w) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor inf w) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor inf w) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor inf w) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor -inf w) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor -inf w) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor -inf w) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ())
#s(alt (* r (pow w 2)) (taylor -inf w) (#s(alt (*.f64 r (*.f64 w w)) (patch (*.f64 r (*.f64 w w)) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor 0 r) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor 0 r) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor 0 r) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor 0 r) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor inf r) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor inf r) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor inf r) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor inf r) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor -inf r) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor -inf r) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor -inf r) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor -inf r) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor 0 w) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor 0 w) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor 0 w) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor 0 w) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor inf w) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor inf w) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor inf w) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor inf w) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor -inf w) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor -inf w) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor -inf w) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (pow w 2)) (taylor -inf w) (#s(alt (*.f64 r (*.f64 r (*.f64 w w))) (patch (*.f64 r (*.f64 r (*.f64 w w))) #<representation binary64>) () ())) ())
Calls

126 calls:

TimeVariablePointExpression
45.0ms
w
@0
(* (* w w) (+ (* -1/4 (* r r)) (/ 2 (* r (* r (* w w))))))
1.0ms
r
@0
(* (* w w) (+ (* -1/4 (* r r)) (/ 2 (* r (* r (* w w))))))
1.0ms
r
@inf
(* (* w w) (+ (* -1/4 (* r r)) (/ 2 (* r (* r (* w w))))))
1.0ms
w
@inf
(* (* w w) (+ (* -1/4 (* r r)) (/ 2 (* r (* r (* w w))))))
0.0ms
r
@0
(/ (+ (* r (* r -3/2)) 2) (* r r))

simplify400.0ms (2.9%)

Memory
7.3MiB live, 312.4MiB allocated
Algorithm
egg-herbie
Rules
12 484×lower-fma.f64
12 484×lower-fma.f32
3 786×lower-*.f64
3 786×lower-*.f32
3 204×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02138754
16468524
220068092
369108072
080747602
Stop Event
iter limit
node limit
Counts
504 → 504
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))
(* -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))))))
(* -1/8 (/ (* (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))))))
(- (* 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)))))
(- (* 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)))))))
(- (* 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)
(- (+ (* -1/8 (/ (* (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)))
(* (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) (- (/ 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))))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
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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))))))
(* (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))))))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(- (* 2 (/ 1 (pow r 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))) (* 2 (/ 1 (pow r 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)))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/8 (* (pow r 4) (pow w 2)))) (pow r 2))
(/ (+ 2 (* -3/8 (* (pow r 4) (pow w 2)))) (pow r 2))
(/ (+ 2 (* -3/8 (* (pow r 4) (pow w 2)))) (pow r 2))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 2 (/ 1 (pow r 4)))))
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 2 (/ 1 (pow r 4)))))
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 2 (/ 1 (pow r 4)))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 2 (/ 1 (pow r 4)))))
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 2 (/ 1 (pow r 4)))))
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 2 (/ 1 (pow r 4)))))
(/ 2 (pow r 2))
(+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))
(+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))
(+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* (pow w 2) (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(/ 2 (pow r 2))
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(/ 2 (pow r 2))
(/ (+ 2 (* -1/4 (* (pow r 4) (pow w 2)))) (pow r 2))
(/ (+ 2 (* -1/4 (* (pow r 4) (pow w 2)))) (pow r 2))
(/ (+ 2 (* -1/4 (* (pow r 4) (pow w 2)))) (pow r 2))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4)))))
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4)))))
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4)))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4)))))
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4)))))
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4)))))
(/ 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))
(* -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))))))
(* -1/8 (/ (* (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))))))
(- (* 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)))))
(- (* 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)))))))
(- (* 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)
(- (+ (* -1/8 (/ (* (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)))
(* (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) (- (/ 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))))))
(/ 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 (* (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 (* (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)))))
(- (* 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 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(/ 2 (pow r 2))
(/ (+ 2 (* -1/4 (* (pow r 4) (pow w 2)))) (pow r 2))
(/ (+ 2 (* -1/4 (* (pow r 4) (pow w 2)))) (pow r 2))
(/ (+ 2 (* -1/4 (* (pow r 4) (pow w 2)))) (pow r 2))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4)))))
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4)))))
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4)))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4)))))
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4)))))
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4)))))
(/ 2 (pow r 2))
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 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))
(* (pow r 2) (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))
(* (pow r 2) (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))
(* (pow r 2) (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))
(* (pow r 2) (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))
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 r (*.f64 r #s(literal -3/2 binary64)) #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 (*.f64 r r) (fma.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) #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 (*.f64 r r) (fma.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.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 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (/.f64 #s(literal -1/8 binary64) (-.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 r r) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #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 r r) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.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 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64))
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(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
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rewrite298.0ms (2.1%)

Memory
13.8MiB live, 456.2MiB allocated
Rules
4 212×lower-*.f32
4 212×lower-fma.f32
4 204×lower-fma.f64
4 190×lower-*.f64
3 910×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068430
096430
1457389
23440389
08550360
Stop Event
iter limit
node limit
iter limit
Counts
22 → 391
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 #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(*.f64 w #s(literal -1/4 binary64))
(*.f64 r (*.f64 r w))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 #s(literal -3/2 binary64) (/.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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))
(fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64))
(*.f64 r #s(literal -3/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)))
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w)
(*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))))
(+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))))
#s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))
(*.f64 r (*.f64 w w))
(*.f64 r (*.f64 r (*.f64 w w)))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))))
(+.f64 (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (fma.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))
(+.f64 (fma.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (*.f64 w w) (*.f64 w w))) (-.f64 (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r 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 -3/2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (-.f64 (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r r)) (fma.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) #s(literal -3/2 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))))))
(fma.f64 r (*.f64 (*.f64 r w) (*.f64 w #s(literal -1/4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) #s(literal -3/2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 w (*.f64 r r)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 r w) (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -1/4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (neg.f64 r))) (fma.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) #s(literal -3/2 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (neg.f64 r))) (+.f64 #s(literal -3/2 binary64) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))))))
(fma.f64 (*.f64 w w) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w (*.f64 w (*.f64 r r))) #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 r r)) (*.f64 (*.f64 r (*.f64 r r)) #s(literal -1/64 binary64))) (*.f64 (*.f64 w w) (*.f64 (*.f64 w w) (*.f64 w w))) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))))) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (*.f64 w w) (*.f64 w w))))) #s(literal -3/2 binary64))
(fma.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r)))) #s(literal -27/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -3 binary64) (*.f64 r r))))) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))))
(fma.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r)))) #s(literal -27/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) #s(literal 9/4 binary64))) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal 2 binary64) (fma.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) #s(literal -3/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal 2 binary64) (+.f64 #s(literal -3/2 binary64) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (*.f64 w w) (*.f64 w w)) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))) (/.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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))))
(fma.f64 (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))))
(fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r 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 r (*.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (fma.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) #s(literal -3/2 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (+.f64 #s(literal -3/2 binary64) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))))))
(fma.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 2 binary64) r) (fma.f64 w (*.f64 w (*.f64 #s(literal -1/4 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 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))))))
(fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) w) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (*.f64 w w) (*.f64 r #s(literal -1/4 binary64))) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (*.f64 w w) (*.f64 w w)) (*.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 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))))))) (fma.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 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) (*.f64 w (*.f64 w (*.f64 r r)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (*.f64 w w) (*.f64 w w))) (*.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 (fma.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 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) (*.f64 w (*.f64 w (*.f64 r r))))))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (*.f64 w w) (*.f64 w w)) (*.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 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))))))))
(/.f64 (fma.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 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) (*.f64 w (*.f64 w (*.f64 r r))))))) (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 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (*.f64 w w) (*.f64 w w))) (*.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 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (*.f64 w w) (*.f64 w w)) (*.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 w (*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r r))))))) (fma.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 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) (*.f64 w (*.f64 w (*.f64 r r))))))))))
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(/.f64 (neg.f64 (+.f64 #s(literal -27/8 binary64) (pow.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) (-.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(literal -3/2 binary64)) #s(literal 9/4 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -27/8 binary64) (pow.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) (-.f64 #s(literal 9/4 binary64) (*.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 9/4 binary64) (*.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))))))) (neg.f64 (-.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))))))
(/.f64 (-.f64 (*.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))))) #s(literal 9/4 binary64)) (-.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(literal -3/2 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -27/8 binary64) (pow.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) (-.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(literal -3/2 binary64)) #s(literal 9/4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 9/4 binary64) (*.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))))))) (neg.f64 (neg.f64 (-.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))))) #s(literal 9/4 binary64))) (neg.f64 (-.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(literal -3/2 binary64))))
(pow.f64 (/.f64 (fma.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) (-.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(literal -3/2 binary64)) #s(literal 9/4 binary64)) (+.f64 #s(literal -27/8 binary64) (pow.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))))) (-.f64 #s(literal 9/4 binary64) (*.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))))))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -27/8 binary64) (pow.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) (-.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(literal -3/2 binary64)) #s(literal 9/4 binary64))))
(*.f64 (-.f64 #s(literal 9/4 binary64) (*.f64 #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))))))
#s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 w (*.f64 w (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))))
(*.f64 r (*.f64 w w))
(*.f64 w (*.f64 r w))
(*.f64 (*.f64 r w) w)
(*.f64 (*.f64 w w) r)
(exp.f64 (*.f64 (log.f64 (*.f64 r w)) #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 (fma.f64 (log.f64 w) #s(literal 2 binary64) (*.f64 (log.f64 r) #s(literal 2 binary64))))
(pow.f64 (*.f64 r w) #s(literal 2 binary64))
(*.f64 r (*.f64 r (*.f64 w w)))
(*.f64 w (*.f64 w (*.f64 r r)))
(*.f64 (*.f64 r w) (*.f64 r w))
(*.f64 (*.f64 w (*.f64 r r)) w)
(*.f64 (*.f64 r r) (*.f64 w w))
(*.f64 (*.f64 w w) (*.f64 r r))
(*.f64 (*.f64 r (*.f64 w w)) r)

eval126.0ms (0.9%)

Memory
10.0MiB live, 243.6MiB allocated
Compiler

Compiled 26 277 to 1 262 computations (95.2% saved)

prune456.0ms (3.3%)

Memory
-45.4MiB live, 461.3MiB allocated
Pruning

27 alts after pruning (23 fresh and 4 done)

PrunedKeptTotal
New1 047121 059
Fresh51116
Picked235
Done011
Total1 054271 081
Accuracy
100.0%
Counts
1 081 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.4%
(-.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))))) #s(literal 9/2 binary64))
50.0%
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
46.4%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
43.9%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))) #s(literal -9 binary64)) r (*.f64 (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal -3 binary64)) (/.f64 #s(literal 2 binary64) r))) (*.f64 (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal -3 binary64)) r))) #s(literal 9/2 binary64))
83.8%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(approx (- (* v -1/8) 3/8) #s(literal -3/8 binary64)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
30.8%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
25.7%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))))) #s(literal 9/2 binary64))
54.7%
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
87.5%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
70.7%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r))
19.4%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
37.3%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)))
83.8%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)))
55.6%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r)))
55.6%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
12.7%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64)))
42.8%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
36.0%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
91.6%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
92.5%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
43.9%
#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))
43.9%
#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)))
72.2%
#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 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
61.3%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))))
42.9%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
36.4%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
38.4%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))))))
Compiler

Compiled 1 065 to 619 computations (41.9% saved)

simplify288.0ms (2.1%)

Memory
20.6MiB live, 338.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
cost-diff0
(/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v))
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)))
cost-diff320
(*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64)))
cost-diff0
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64))
cost-diff0
#s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))
cost-diff0
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64))))
cost-diff0
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
cost-diff0
(*.f64 r r)
cost-diff0
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))
cost-diff0
#s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
cost-diff0
#s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64)))
cost-diff0
(*.f64 w #s(literal -1/4 binary64))
cost-diff0
(*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w))
cost-diff0
(fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 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 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
Rules
12 156×lower-fma.f32
12 146×lower-fma.f64
7 114×lower-*.f32
7 090×lower-*.f64
2 472×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084581
0113572
1267563
2687555
32509552
46520552
08438535
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 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
(fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w))
(*.f64 w #s(literal -1/4 binary64))
w
#s(literal -1/4 binary64)
(*.f64 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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64)))
#s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
#s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))
(*.f64 r r)
r
(*.f64 (*.f64 w w) #s(literal -1/4 binary64))
(*.f64 w w)
w
#s(literal -1/4 binary64)
#s(literal -3/2 binary64)
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #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))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64))))
#s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64))
(*.f64 r r)
r
(*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))
w
(*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))
(fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))
v
#s(literal -1/8 binary64)
#s(literal -3/8 binary64)
#s(literal 3 binary64)
#s(literal 9/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)))
(/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v))
(*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64)))
(*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
w
(*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
v
#s(literal -2 binary64)
#s(literal 3 binary64)
(*.f64 (*.f64 r r) #s(literal -1/8 binary64))
(*.f64 r r)
r
#s(literal -1/8 binary64)
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 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 w #s(literal -1/4 binary64)) (*.f64 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 w (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
(fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w))
(*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64))))
(*.f64 w #s(literal -1/4 binary64))
w
#s(literal -1/4 binary64)
(*.f64 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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* 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 (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64)))
#s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))) #s(literal -3/2 binary64))))
#s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))
#s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))
(fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))) #s(literal -3/2 binary64))
(*.f64 r r)
r
(*.f64 (*.f64 w w) #s(literal -1/4 binary64))
(*.f64 w (*.f64 w #s(literal -1/4 binary64)))
(*.f64 w w)
w
#s(literal -1/4 binary64)
#s(literal -3/2 binary64)
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(+.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 w (*.f64 (*.f64 r (*.f64 r w)) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #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))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64))))
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 w (*.f64 (*.f64 r (*.f64 r w)) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal 3 binary64))))
#s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))
#s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 w (*.f64 (*.f64 r (*.f64 r w)) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal 3 binary64)))
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64))
(fma.f64 w (*.f64 (*.f64 r (*.f64 r w)) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal 3 binary64))
(*.f64 r r)
r
(*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))
w
(*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))
(fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))
v
#s(literal -1/8 binary64)
#s(literal -3/8 binary64)
#s(literal 3 binary64)
#s(literal 9/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.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 r (*.f64 w (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)))) (+.f64 v #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v))
(/.f64 (*.f64 r (*.f64 w (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)))) (+.f64 v #s(literal -1 binary64)))
(*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64)))
(*.f64 r (*.f64 r (*.f64 w (*.f64 w (fma.f64 v #s(literal 1/4 binary64) #s(literal -3/8 binary64))))))
(*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
w
(*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
v
#s(literal -2 binary64)
#s(literal 3 binary64)
(*.f64 (*.f64 r r) #s(literal -1/8 binary64))
(*.f64 r (*.f64 r #s(literal -1/8 binary64)))
(*.f64 r r)
r
#s(literal -1/8 binary64)
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)

localize279.0ms (2%)

Memory
12.3MiB live, 358.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.1484375
(*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
accuracy2.5937710296463914
(/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v))
accuracy14.635646208031845
(*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64)))
accuracy34.45107401425301
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)))
accuracy0.13671875
(*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))
accuracy13.017255644519908
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64))
accuracy13.85726945801166
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64))))
accuracy26.347878787391952
#s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))
accuracy0.39790511440395826
(*.f64 (*.f64 w w) #s(literal -1/4 binary64))
accuracy3.8051618129219773
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
accuracy10.96589113368524
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))
accuracy27.986841699017628
#s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))
accuracy28.392080810673445
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64)))
accuracy32.309994057855434
#s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))
accuracy0.140625
(*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w))
accuracy0.7439421498149871
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy1.6227596360518817
(fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
accuracy3.8051618129219773
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
Samples
171.0ms218×0valid
20.0ms22×2valid
16.0ms16×1valid
Compiler

Compiled 419 to 72 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 177.0ms
ival-mult: 135.0ms (76.3% of total)
ival-add: 18.0ms (10.2% of total)
ival-div: 8.0ms (4.5% of total)
ival-sub: 8.0ms (4.5% of total)
adjust: 7.0ms (4% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series60.0ms (0.4%)

Memory
-10.1MiB live, 110.5MiB allocated
Counts
21 → 564
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 w #s(literal -1/4 binary64)) (*.f64 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 w #s(literal -1/4 binary64)) (*.f64 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 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (patch (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) (patch (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) #<representation binary64>) () ())
#s(alt (*.f64 w #s(literal -1/4 binary64)) (patch (*.f64 w #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64)) (patch #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))) (patch #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)) (patch (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) (patch (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) (patch #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64))) (patch #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)) (patch (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (patch (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())
#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 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 (*.f64 w w) #s(literal -1/4 binary64)) (patch (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<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 (*.f64 w #s(literal -1/4 binary64)) (*.f64 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 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.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 (*.f64 w #s(literal -1/4 binary64)) (*.f64 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 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.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 (*.f64 w #s(literal -1/4 binary64)) (*.f64 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 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.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 (*.f64 w #s(literal -1/4 binary64)) (*.f64 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 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (taylor inf 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 (*.f64 w #s(literal -1/4 binary64)) (*.f64 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 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor inf 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 (*.f64 w #s(literal -1/4 binary64)) (*.f64 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 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor inf 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 (*.f64 w #s(literal -1/4 binary64)) (*.f64 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 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor inf 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 (*.f64 w #s(literal -1/4 binary64)) (*.f64 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 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (taylor -inf 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 (*.f64 w #s(literal -1/4 binary64)) (*.f64 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 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor -inf 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 (*.f64 w #s(literal -1/4 binary64)) (*.f64 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 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor -inf 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 (*.f64 w #s(literal -1/4 binary64)) (*.f64 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 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow w 2) (- (* -1/8 v) 3/8)) (taylor -inf w) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (pow w 2)) (taylor 0 v) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3/8 (pow w 2)) (* -1/8 (* v (pow w 2)))) (taylor 0 v) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3/8 (pow w 2)) (* -1/8 (* v (pow w 2)))) (taylor 0 v) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3/8 (pow w 2)) (* -1/8 (* v (pow w 2)))) (taylor 0 v) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* v (pow w 2))) (taylor inf v) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* -3/8 (/ (pow w 2) v)) (* -1/8 (pow w 2)))) (taylor inf v) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* -3/8 (/ (pow w 2) v)) (* -1/8 (pow w 2)))) (taylor inf v) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* -3/8 (/ (pow w 2) v)) (* -1/8 (pow w 2)))) (taylor inf v) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (* v (pow w 2))) (taylor -inf v) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* 1/8 (pow w 2)) (* 3/8 (/ (pow w 2) v))))) (taylor -inf v) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* 1/8 (pow w 2)) (* 3/8 (/ (pow w 2) v))))) (taylor -inf v) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* 1/8 (pow w 2)) (* 3/8 (/ (pow w 2) v))))) (taylor -inf v) (#s(alt (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (patch (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #<representation binary64>) () ())) ())
Calls

141 calls:

TimeVariablePointExpression
6.0ms
w
@0
(* (* w -1/4) (* r w))
2.0ms
r
@0
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
1.0ms
w
@0
(/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v))
0.0ms
w
@inf
(* w (* w (+ (* v -1/8) -3/8)))
0.0ms
v
@-inf
(/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v))

simplify456.0ms (3.3%)

Memory
12.8MiB live, 480.4MiB allocated
Algorithm
egg-herbie
Rules
18 346×lower-fma.f64
18 346×lower-fma.f32
5 162×lower-+.f64
5 162×lower-+.f32
5 126×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033311506
1107811026
2355310014
084729365
Stop Event
iter limit
node limit
Counts
564 → 564
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))
(* -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))))))
(* -1/8 (/ (* (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))))))
(- (* 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)))))
(- (* 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)))))))
(- (* 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)
(- (+ (* -1/8 (/ (* (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)))
(* (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) (- (/ 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))))))
(- (* 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 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 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 (* (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 (* (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 (pow w 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 (pow w 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 (pow w 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 (pow w 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 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 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))
(* -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))))))
(* -1/8 (/ (* (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))))))
(- (* 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)))))
(- (* 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)))))))
(- (* 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)
(- (+ (* -1/8 (/ (* (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)))
(* (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) (- (/ 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))))))
(/ 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))
-3/2
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
-3/2
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 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))
(* -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))))))
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3
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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)))))
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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)))))
(- (+ (* -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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(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 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)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
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(- (* 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)
(* -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) (- (/ 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)))
(* -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)))
(* -1/8 (/ (* (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)))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -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))) (* 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 (* (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 (* (pow r 2) (pow w 2))) (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)))
(+ (* -1 (/ (+ (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v))) 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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(* -2 (* v (pow w 2)))
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(* v (+ (* -2 (pow w 2)) (* 3 (/ (pow w 2) v))))
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(* -1 (* v (+ (* -3 (/ (pow w 2) v)) (* 2 (pow w 2)))))
(* -1 (* v (+ (* -3 (/ (pow w 2) v)) (* 2 (pow w 2)))))
(/ 2 (pow r 2))
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(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(* -1/4 (pow w 2))
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(* v (+ (* -3/8 (/ (pow w 2) v)) (* -1/8 (pow w 2))))
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Outputs
(/ 2 (pow r 2))
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(*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #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 r r) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #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 r r) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #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 r r) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(+ (* -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)))))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))
(+ (* -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))))))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v (*.f64 #s(literal -1/8 binary64) v) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))
(+ (* -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))))))))))
(fma.f64 r (*.f64 r (*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) (*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 (*.f64 w w) v))) (fma.f64 #s(literal -1/8 binary64) v #s(literal -1/8 binary64)))))
(* -1/4 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))
(+ (* -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)))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(+ (* -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)))))
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64))) 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))) (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))))))
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r)) (*.f64 v v)) (+.f64 (/.f64 #s(literal -1/8 binary64) v) #s(literal -1/8 binary64))))
(* -1/4 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))
(+ (* -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)))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(+ (* -1 (/ (+ (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64))) v))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v))) 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 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) (/.f64 (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal 1/8 binary64))) (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64))) v)) v))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #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 r r) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #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 r r) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #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 r r) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #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 r r) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #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 r r) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #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 r r) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #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 r r) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #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 r r) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #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 r r) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #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 r r) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #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 r r) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))
(* (pow w 2) (+ 3 (* -2 v)))
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)
(* (pow w 2) (+ 3 (* -2 v)))
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)
(* (pow w 2) (+ 3 (* -2 v)))
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)
(* (pow w 2) (+ 3 (* -2 v)))
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)
(* (pow w 2) (+ 3 (* -2 v)))
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)
(* (pow w 2) (+ 3 (* -2 v)))
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)
(* (pow w 2) (+ 3 (* -2 v)))
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)
(* (pow w 2) (+ 3 (* -2 v)))
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)
(* (pow w 2) (+ 3 (* -2 v)))
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)
(* (pow w 2) (+ 3 (* -2 v)))
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)
(* (pow w 2) (+ 3 (* -2 v)))
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)
(* (pow w 2) (+ 3 (* -2 v)))
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)
(* 3 (pow w 2))
(*.f64 (*.f64 w w) #s(literal 3 binary64))
(+ (* -2 (* v (pow w 2))) (* 3 (pow w 2)))
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)
(+ (* -2 (* v (pow w 2))) (* 3 (pow w 2)))
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)
(+ (* -2 (* v (pow w 2))) (* 3 (pow w 2)))
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)
(* -2 (* v (pow w 2)))
(*.f64 v (*.f64 (*.f64 w w) #s(literal -2 binary64)))
(* v (+ (* -2 (pow w 2)) (* 3 (/ (pow w 2) v))))
(*.f64 v (*.f64 (*.f64 w w) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) v))))
(* v (+ (* -2 (pow w 2)) (* 3 (/ (pow w 2) v))))
(*.f64 v (*.f64 (*.f64 w w) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) v))))
(* v (+ (* -2 (pow w 2)) (* 3 (/ (pow w 2) v))))
(*.f64 v (*.f64 (*.f64 w w) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) v))))
(* -2 (* v (pow w 2)))
(*.f64 v (*.f64 (*.f64 w w) #s(literal -2 binary64)))
(* -1 (* v (+ (* -3 (/ (pow w 2) v)) (* 2 (pow w 2)))))
(*.f64 v (*.f64 (*.f64 w w) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) v))))
(* -1 (* v (+ (* -3 (/ (pow w 2) v)) (* 2 (pow w 2)))))
(*.f64 v (*.f64 (*.f64 w w) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) v))))
(* -1 (* v (+ (* -3 (/ (pow w 2) v)) (* 2 (pow w 2)))))
(*.f64 v (*.f64 (*.f64 w w) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 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))
(/ 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))
(/ 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))
(* -1/4 (pow w 2))
(*.f64 (*.f64 w w) #s(literal -1/4 binary64))
(* -1/4 (pow w 2))
(*.f64 (*.f64 w w) #s(literal -1/4 binary64))
(* -1/4 (pow w 2))
(*.f64 (*.f64 w w) #s(literal -1/4 binary64))
(* -1/4 (pow w 2))
(*.f64 (*.f64 w w) #s(literal -1/4 binary64))
(* -1/4 (pow w 2))
(*.f64 (*.f64 w w) #s(literal -1/4 binary64))
(* -1/4 (pow w 2))
(*.f64 (*.f64 w w) #s(literal -1/4 binary64))
(* -1/4 (pow w 2))
(*.f64 (*.f64 w w) #s(literal -1/4 binary64))
(* -1/4 (pow w 2))
(*.f64 (*.f64 w w) #s(literal -1/4 binary64))
(* -1/4 (pow w 2))
(*.f64 (*.f64 w w) #s(literal -1/4 binary64))
(* -1/4 (pow w 2))
(*.f64 (*.f64 w w) #s(literal -1/4 binary64))
(* -1/4 (pow w 2))
(*.f64 (*.f64 w w) #s(literal -1/4 binary64))
(* -1/4 (pow w 2))
(*.f64 (*.f64 w w) #s(literal -1/4 binary64))
(* (pow w 2) (- (* -1/8 v) 3/8))
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))
(* (pow w 2) (- (* -1/8 v) 3/8))
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))
(* (pow w 2) (- (* -1/8 v) 3/8))
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))
(* (pow w 2) (- (* -1/8 v) 3/8))
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))
(* (pow w 2) (- (* -1/8 v) 3/8))
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))
(* (pow w 2) (- (* -1/8 v) 3/8))
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))
(* (pow w 2) (- (* -1/8 v) 3/8))
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))
(* (pow w 2) (- (* -1/8 v) 3/8))
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))
(* (pow w 2) (- (* -1/8 v) 3/8))
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))
(* (pow w 2) (- (* -1/8 v) 3/8))
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))
(* (pow w 2) (- (* -1/8 v) 3/8))
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))
(* (pow w 2) (- (* -1/8 v) 3/8))
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))
(* -3/8 (pow w 2))
(*.f64 (*.f64 w w) #s(literal -3/8 binary64))
(+ (* -3/8 (pow w 2)) (* -1/8 (* v (pow w 2))))
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))
(+ (* -3/8 (pow w 2)) (* -1/8 (* v (pow w 2))))
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))
(+ (* -3/8 (pow w 2)) (* -1/8 (* v (pow w 2))))
(*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))
(* -1/8 (* v (pow w 2)))
(*.f64 v (*.f64 #s(literal -1/8 binary64) (*.f64 w w)))
(* v (+ (* -3/8 (/ (pow w 2) v)) (* -1/8 (pow w 2))))
(*.f64 v (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/8 binary64))))
(* v (+ (* -3/8 (/ (pow w 2) v)) (* -1/8 (pow w 2))))
(*.f64 v (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/8 binary64))))
(* v (+ (* -3/8 (/ (pow w 2) v)) (* -1/8 (pow w 2))))
(*.f64 v (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/8 binary64))))
(* -1/8 (* v (pow w 2)))
(*.f64 v (*.f64 #s(literal -1/8 binary64) (*.f64 w w)))
(* -1 (* v (+ (* 1/8 (pow w 2)) (* 3/8 (/ (pow w 2) v)))))
(*.f64 v (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/8 binary64))))
(* -1 (* v (+ (* 1/8 (pow w 2)) (* 3/8 (/ (pow w 2) v)))))
(*.f64 v (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/8 binary64))))
(* -1 (* v (+ (* 1/8 (pow w 2)) (* 3/8 (/ (pow w 2) v)))))
(*.f64 v (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/8 binary64))))

rewrite373.0ms (2.7%)

Memory
28.7MiB live, 547.1MiB allocated
Rules
4 542×lower-*.f32
4 518×lower-*.f64
4 390×lower-fma.f32
4 380×lower-fma.f64
3 664×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084507
0113498
1520457
23920457
08839415
Stop Event
iter limit
node limit
iter limit
Counts
21 → 333
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 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
(fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r w))
(*.f64 w #s(literal -1/4 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64)))
#s(approx (/ (+ (* r (* r -3/2)) 2) (* 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
#s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))
(*.f64 r r)
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #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))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64))))
#s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64))
(*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)))
(/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v))
(*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(*.f64 (*.f64 w w) #s(literal -1/4 binary64))
(*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 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)) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) #s(literal -3/2 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) #s(literal -3/2 binary64)))
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64))))))
(+.f64 (*.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64))))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))
(+.f64 (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r (*.f64 r (*.f64 w w))))) (-.f64 (fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 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 (fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r r)) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) #s(literal -3/2 binary64)))
(fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 w (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r r)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) #s(literal -3/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 r w) (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -1/4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r r))) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 r (*.f64 r w)) (*.f64 w #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w w) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w (*.f64 w #s(literal -1/4 binary64))) (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r)))) #s(literal -27/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -3 binary64) (*.f64 r r))))) (*.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64))))))
(fma.f64 (fma.f64 (*.f64 w (*.f64 w w)) (*.f64 (*.f64 (*.f64 r (*.f64 r r)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r w))) #s(literal -1/64 binary64)) #s(literal -27/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal 9/4 binary64)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3/8 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal 2 binary64) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) #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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (*.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64))))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal -9/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))) #s(literal 3/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) #s(literal -3/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 2 binary64) r) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 r (*.f64 r (*.f64 w #s(literal -1/4 binary64)))) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r r)) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.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 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r (*.f64 r (*.f64 w w)))))) (fma.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 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (*.f64 (*.f64 (*.f64 w (*.f64 w w)) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r w)))) #s(literal -1/64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) #s(literal -3/2 binary64))) (-.f64 (fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
(/.f64 (fma.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 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (*.f64 (*.f64 (*.f64 w (*.f64 w w)) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r w)))) #s(literal -1/64 binary64))) (fma.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 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r (*.f64 r (*.f64 w w)))))))
(/.f64 (fma.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 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (*.f64 (*.f64 (*.f64 w (*.f64 w w)) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r w)))) #s(literal -1/64 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 r (*.f64 r (*.f64 w w))) (*.f64 r (*.f64 r (*.f64 w w))))) (*.f64 r (*.f64 (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) (+.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)) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) #s(literal -3/2 binary64))) (-.f64 (fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (-.f64 (fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.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 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r (*.f64 r (*.f64 w w)))))) (fma.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 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (*.f64 (*.f64 (*.f64 w (*.f64 w w)) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r w)))) #s(literal -1/64 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) #s(literal -3/2 binary64))) (-.f64 (fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))))
(/.f64 (neg.f64 (fma.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 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (*.f64 (*.f64 (*.f64 w (*.f64 w w)) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r w)))) #s(literal -1/64 binary64)))) (neg.f64 (fma.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 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r (*.f64 r (*.f64 w w))))))))
(/.f64 (neg.f64 (fma.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 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (*.f64 (*.f64 (*.f64 w (*.f64 w w)) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 r w)))) #s(literal -1/64 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 r (*.f64 r (*.f64 w w))) (*.f64 r (*.f64 r (*.f64 w w))))) (*.f64 r (*.f64 (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) #s(literal -3/2 binary64))) (-.f64 (fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (neg.f64 (-.f64 (fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w))) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(/.f64 (fma.f64 (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal -27/8 binary64)) (fma.f64 (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 #s(literal 9/4 binary64) (*.f64 (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)))))
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(fma.f64 (*.f64 v (*.f64 #s(literal -1/8 binary64) w)) w (*.f64 (*.f64 w #s(literal -3/8 binary64)) w))
(/.f64 (*.f64 (*.f64 w w) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal -1/512 binary64) #s(literal -27/512 binary64))) (-.f64 (fma.f64 (*.f64 v v) #s(literal 1/64 binary64) #s(literal 9/64 binary64)) (*.f64 v #s(literal 3/64 binary64))))
(/.f64 (*.f64 (*.f64 w w) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal -1/512 binary64) #s(literal -27/512 binary64))) (fma.f64 (*.f64 v v) #s(literal 1/64 binary64) (fma.f64 v #s(literal -3/64 binary64) #s(literal 9/64 binary64))))
(/.f64 (*.f64 (*.f64 w w) (fma.f64 (*.f64 v v) #s(literal 1/64 binary64) #s(literal -9/64 binary64))) (fma.f64 v #s(literal -1/8 binary64) #s(literal 3/8 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 w w) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal -1/512 binary64) #s(literal -27/512 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 v v) #s(literal 1/64 binary64) #s(literal 9/64 binary64)) (*.f64 v #s(literal 3/64 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 w w) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal -1/512 binary64) #s(literal -27/512 binary64)))) (neg.f64 (fma.f64 (*.f64 v v) #s(literal 1/64 binary64) (fma.f64 v #s(literal -3/64 binary64) #s(literal 9/64 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 w w) (fma.f64 (*.f64 v v) #s(literal 1/64 binary64) #s(literal -9/64 binary64)))) (neg.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal 3/8 binary64))))
(*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))
(*.f64 (*.f64 w w) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))
(*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 w w))
(*.f64 (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) w)

eval155.0ms (1.1%)

Memory
12.5MiB live, 242.0MiB allocated
Compiler

Compiled 23 199 to 1 181 computations (94.9% saved)

prune490.0ms (3.5%)

Memory
-33.6MiB live, 507.4MiB allocated
Pruning

31 alts after pruning (25 fresh and 6 done)

PrunedKeptTotal
New93516951
Fresh9918
Picked325
Done044
Total94731978
Accuracy
100.0%
Counts
978 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.0%
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
46.4%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
43.9%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))) #s(literal -9 binary64)) r (*.f64 (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal -3 binary64)) (/.f64 #s(literal 2 binary64) r))) (*.f64 (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal -3 binary64)) r))) #s(literal 9/2 binary64))
36.9%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
35.9%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) (*.f64 r (*.f64 r w)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
36.8%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r w) (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
30.8%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
29.5%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) #s(approx (* w (* w (+ (* v -1/8) -3/8))) (*.f64 v (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/8 binary64))))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
42.8%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) #s(approx (+ (* (* r r) (* w (* w (+ (* v -1/8) -3/8)))) 3) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))))) #s(literal 9/2 binary64))
87.5%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
19.4%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
39.5%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) (neg.f64 r)) (-.f64 #s(literal 1 binary64) v)))
42.4%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (neg.f64 (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))
39.5%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 #s(approx (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)))
55.6%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r)))
55.6%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
12.7%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64)))
36.6%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v (*.f64 #s(literal -1/8 binary64) v) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))))
27.7%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))))
31.0%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))))
36.4%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
36.0%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
42.8%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
92.5%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
43.9%
#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))
43.9%
#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)))
61.3%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))))
44.0%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r r)) w #s(literal -3/2 binary64))))
49.0%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64))))
50.5%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64))))
38.4%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))))))
Compiler

Compiled 1 884 to 588 computations (68.8% saved)

regimes215.0ms (1.5%)

Memory
21.3MiB live, 246.4MiB allocated
Counts
66 → 2
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* 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 #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 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.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))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 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 (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r r)) w #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 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) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) #s(approx (+ (* (* r r) (* w (* w (+ (* v -1/8) -3/8)))) 3) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #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 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #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))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r w) (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) (*.f64 r (*.f64 r w)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v (*.f64 #s(literal -1/8 binary64) v) (fma.f64 #s(literal -1/8 binary64) v #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 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.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)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 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 r #s(literal -1/4 binary64)) (*.f64 r (*.f64 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 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r 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 w #s(literal -1/4 binary64)) (*.f64 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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 #s(approx (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (neg.f64 (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) (neg.f64 r)) (-.f64 #s(literal 1 binary64) v)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) #s(approx (* w (* w (+ (* v -1/8) -3/8))) (*.f64 v (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/8 binary64))))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(approx (- (* v -1/8) 3/8) #s(literal -3/8 binary64)) #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) (*.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.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 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 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 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.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)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r 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))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.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 w (*.f64 (*.f64 r 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))
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 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 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))) #s(literal -9 binary64)) r (*.f64 (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal -3 binary64)) (/.f64 #s(literal 2 binary64) r))) (*.f64 (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal -3 binary64)) r))) #s(literal 9/2 binary64))
(-.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))))))) #s(literal 9/2 binary64))
(-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 w (*.f64 r w))))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r (*.f64 w (*.f64 r w))))))) #s(literal 9/2 binary64))
Outputs
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 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 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
Calls

6 calls:

75.0ms
v
58.0ms
(*.f64 w w)
22.0ms
r
20.0ms
w
19.0ms
(-.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
96.8%1v
99.2%2w
99.2%2r
96.8%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))
96.8%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)))
99.2%2(*.f64 w w)
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes143.0ms (1%)

Memory
-16.1MiB live, 197.4MiB allocated
Counts
54 → 2
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* 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 #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 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.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))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 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 (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r r)) w #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 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) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) #s(approx (+ (* (* r r) (* w (* w (+ (* v -1/8) -3/8)))) 3) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #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 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #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))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r w) (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) (*.f64 r (*.f64 r w)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v (*.f64 #s(literal -1/8 binary64) v) (fma.f64 #s(literal -1/8 binary64) v #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 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.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)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 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 r #s(literal -1/4 binary64)) (*.f64 r (*.f64 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 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r 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 w #s(literal -1/4 binary64)) (*.f64 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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 #s(approx (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (neg.f64 (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) (neg.f64 r)) (-.f64 #s(literal 1 binary64) v)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) #s(approx (* w (* w (+ (* v -1/8) -3/8))) (*.f64 v (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/8 binary64))))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(approx (- (* v -1/8) 3/8) #s(literal -3/8 binary64)) #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) (*.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.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 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 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 #s(literal -3/2 binary64) #s(approx (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))) (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w (*.f64 r w))) (-.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)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r 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))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
Calls

6 calls:

44.0ms
w
30.0ms
v
22.0ms
(*.f64 w w)
17.0ms
r
13.0ms
(-.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%1v
96.4%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))
96.4%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)))
98.2%2r
95.1%2(*.f64 w w)
95.1%2w
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes57.0ms (0.4%)

Memory
11.9MiB live, 90.4MiB allocated
Counts
47 → 3
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* 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 #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 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.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))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 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 (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r r)) w #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 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) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) #s(approx (+ (* (* r r) (* w (* w (+ (* v -1/8) -3/8)))) 3) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #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 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #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))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r w) (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) (*.f64 r (*.f64 r w)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v (*.f64 #s(literal -1/8 binary64) v) (fma.f64 #s(literal -1/8 binary64) v #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 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.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)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 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 r #s(literal -1/4 binary64)) (*.f64 r (*.f64 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 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r 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 w #s(literal -1/4 binary64)) (*.f64 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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 #s(approx (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (neg.f64 (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))) (neg.f64 r)) (-.f64 #s(literal 1 binary64) v)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) #s(approx (* w (* w (+ (* v -1/8) -3/8))) (*.f64 v (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1/8 binary64))))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(approx (- (* v -1/8) 3/8) #s(literal -3/8 binary64)) #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) (*.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 r r) #s(literal -1/8 binary64))) (-.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 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #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 #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (neg.f64 (*.f64 r 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 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
Calls

3 calls:

29.0ms
r
14.0ms
(-.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)))
11.0ms
(-.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
96.8%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))
96.8%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)))
94.9%2r
Compiler

Compiled 66 to 45 computations (31.8% saved)

regimes51.0ms (0.4%)

Memory
-11.6MiB live, 108.8MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* 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 #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 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.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))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 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 (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r r)) w #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 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) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) #s(approx (+ (* (* r r) (* w (* w (+ (* v -1/8) -3/8)))) 3) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #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 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #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))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r w) (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) (*.f64 r (*.f64 r w)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v (*.f64 #s(literal -1/8 binary64) v) (fma.f64 #s(literal -1/8 binary64) v #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 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.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)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 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 r #s(literal -1/4 binary64)) (*.f64 r (*.f64 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 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r 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 w #s(literal -1/4 binary64)) (*.f64 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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 #s(approx (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)) (+.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 (*.f64 w #s(literal -1/4 binary64)) (*.f64 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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
Calls

4 calls:

15.0ms
(*.f64 w w)
11.0ms
w
11.0ms
(-.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
(-.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
95.1%2w
95.1%2(*.f64 w w)
96.6%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))
96.6%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 72 to 49 computations (31.9% saved)

regimes41.0ms (0.3%)

Memory
5.9MiB live, 41.5MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* 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 #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 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.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))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 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 (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r r)) w #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 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) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) #s(approx (+ (* (* r r) (* w (* w (+ (* v -1/8) -3/8)))) 3) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #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 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #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))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r w) (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) (*.f64 r (*.f64 r w)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v (*.f64 #s(literal -1/8 binary64) v) (fma.f64 #s(literal -1/8 binary64) v #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 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.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)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 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 r #s(literal -1/4 binary64)) (*.f64 r (*.f64 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 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r 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 w #s(literal -1/4 binary64)) (*.f64 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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 #s(approx (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)))) (-.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 w #s(literal -1/4 binary64)) (*.f64 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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64)))
Calls

2 calls:

28.0ms
(*.f64 w w)
11.0ms
w
Results
AccuracySegmentsBranch
95.1%2w
95.1%2(*.f64 w w)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes100.0ms (0.7%)

Memory
2.2MiB live, 159.1MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* 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 #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 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.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))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 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 (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r r)) w #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 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) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) #s(approx (+ (* (* r r) (* w (* w (+ (* v -1/8) -3/8)))) 3) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #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 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #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))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r w) (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) (*.f64 r (*.f64 r w)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v (*.f64 #s(literal -1/8 binary64) v) (fma.f64 #s(literal -1/8 binary64) v #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 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.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)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 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 r #s(literal -1/4 binary64)) (*.f64 r (*.f64 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 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r 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 w #s(literal -1/4 binary64)) (*.f64 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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (/.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 #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
Calls

6 calls:

42.0ms
(*.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))
12.0ms
v
11.0ms
w
10.0ms
r
Results
AccuracySegmentsBranch
92.5%1v
92.5%1r
92.5%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))
92.5%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)))
92.5%1w
92.5%1(*.f64 w w)
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes69.0ms (0.5%)

Memory
7.7MiB live, 124.9MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* 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 #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 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.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))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 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 (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r r)) w #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 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) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) #s(approx (+ (* (* r r) (* w (* w (+ (* v -1/8) -3/8)))) 3) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #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 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #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))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r w) (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) (*.f64 r (*.f64 r w)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v (*.f64 #s(literal -1/8 binary64) v) (fma.f64 #s(literal -1/8 binary64) v #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 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.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)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 3/8 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 r #s(literal -1/4 binary64)) (*.f64 r (*.f64 w w)) (+.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) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64))))
Calls

6 calls:

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)))
12.0ms
v
11.0ms
r
10.0ms
w
9.0ms
(*.f64 w w)
Results
AccuracySegmentsBranch
92.7%2w
92.2%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))
92.2%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)))
92.7%2(*.f64 w w)
93.9%2r
87.4%1v
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes52.0ms (0.4%)

Memory
13.1MiB live, 120.4MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* 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 #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 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.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))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 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 (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r r)) w #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 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) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) #s(approx (+ (* (* r r) (* w (* w (+ (* v -1/8) -3/8)))) 3) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #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 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #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))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r w) (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) (*.f64 r (*.f64 r w)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v (*.f64 #s(literal -1/8 binary64) v) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r))
Calls

5 calls:

12.0ms
r
12.0ms
(*.f64 w w)
10.0ms
(-.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
w
8.0ms
(-.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
92.1%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))
92.1%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)))
77.2%3w
75.9%3(*.f64 w w)
88.6%2r
Compiler

Compiled 76 to 52 computations (31.6% saved)

regimes26.0ms (0.2%)

Memory
1.3MiB live, 41.6MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* 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 #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 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.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))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 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 (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r r)) w #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 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) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) #s(approx (+ (* (* r r) (* w (* w (+ (* v -1/8) -3/8)))) 3) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 3 binary64))))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #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 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #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))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 r w) (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) (*.f64 r (*.f64 r w)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) (fma.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r (*.f64 r (*.f64 w w))) #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) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r)))
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
92.1%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))
92.1%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)

regimes14.0ms (0.1%)

Memory
2.2MiB live, 36.8MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* 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 #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 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.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))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 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 (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r r)) w #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 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) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (* v -1/8) 3/8)) 3)) #s(approx (+ (* (* r r) (* w (* w (+ (* v -1/8) -3/8)))) 3) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #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) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r 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 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
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)))
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
92.1%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))
92.1%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)

regimes10.0ms (0.1%)

Memory
-12.9MiB live, 24.6MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* 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 #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 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.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))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 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 (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r r) -3/8) w) w) (/ 2 (* r r))) -3/2) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (* (* w (* w (+ (* v -2) 3))) (* (* r r) -1/8)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) #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 (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
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)))
4.0ms
(-.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
89.9%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))
89.9%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)))
Compiler

Compiled 62 to 42 computations (32.3% saved)

regimes28.0ms (0.2%)

Memory
-1.9MiB live, 73.0MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* 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 #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 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.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))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 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 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
Calls

6 calls:

10.0ms
(*.f64 w w)
7.0ms
v
3.0ms
w
3.0ms
r
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
55.6%1(*.f64 w w)
55.6%1w
55.6%1r
55.6%1v
55.6%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))
55.6%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)

regimes12.0ms (0.1%)

Memory
-3.2MiB live, 34.1MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* 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 #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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64)))
Calls

6 calls:

2.0ms
w
2.0ms
v
2.0ms
r
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
43.9%1v
55.0%2r
45.7%2w
53.7%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))
53.7%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)))
43.9%1(*.f64 w w)
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes8.0ms (0.1%)

Memory
26.6MiB live, 26.6MiB 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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64)))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64)))
Calls

6 calls:

1.0ms
r
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)))
1.0ms
w
1.0ms
v
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))
Results
AccuracySegmentsBranch
12.7%1(*.f64 w w)
12.7%1v
12.7%1w
12.7%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))
12.7%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)))
12.7%1r
Compiler

Compiled 80 to 55 computations (31.3% saved)

bsearch9.0ms (0.1%)

Memory
-19.2MiB live, 19.7MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
7.0ms
6.437391949967491e+161
1.0491222681498419e+165
Samples
5.0ms48×0valid
Compiler

Compiled 191 to 133 computations (30.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (56.5% of total)
ival-div: 1.0ms (28.3% of total)
ival-sub: 1.0ms (28.3% 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)

bsearch19.0ms (0.1%)

Memory
6.8MiB live, 45.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
3.3767994083429884
375.80513447831254
Samples
12.0ms112×0valid
Compiler

Compiled 364 to 245 computations (32.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (48.2% of total)
ival-sub: 2.0ms (24.1% of total)
ival-div: 1.0ms (12% of total)
ival-add: 1.0ms (12% 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
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.0772054254656194
2.9999999999999356
0.0ms
-inf
-1.4723121934179104e+289
Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
15163887555.799915
144818902401788480.0
Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
15163887555.799915
144818902401788480.0
Compiler

Compiled 35 to 28 computations (20% saved)

bsearch5.0ms (0%)

Memory
13.6MiB live, 13.6MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
4.0ms
7.224686110757812e+112
2.185351092026026e+113
Samples
3.0ms32×0valid
Compiler

Compiled 109 to 74 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (42% of total)
ival-mult: 1.0ms (42% of total)
ival-div: 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)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.0
3.175395913062107
Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.0
3.175395913062107
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
3.0
3.175395913062107
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
-2.0772054254656194
2.9999999999999356
Compiler

Compiled 35 to 28 computations (20% saved)

bsearch27.0ms (0.2%)

Memory
-30.5MiB live, 51.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
0.0019348199378723479
0.9536901647461434
Samples
13.0ms128×0valid
Compiler

Compiled 171 to 124 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (51.6% of total)
ival-div: 2.0ms (20.7% of total)
ival-sub: 2.0ms (20.7% of total)
ival-add: 1.0ms (10.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify32.0ms (0.2%)

Memory
11.3MiB live, 50.7MiB allocated
Algorithm
egg-herbie
Rules
270×unsub-neg_binary64
198×neg-mul-1_binary64
116×*-commutative_binary64
110×distribute-lft-neg-in_binary64
94×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01521369
12061369
22461369
32881368
43411368
53981368
65401368
77541368
88731368
98901368
108911368
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 w #s(literal 200000000000000000356669989717583673029127285120602785421403055540259005695579907124093741598568592199753794072441956471287615292063257246907506366505126894812266496 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 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 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
(if (<=.f64 r #s(literal 370 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.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 #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.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 -2 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (neg.f64 (*.f64 r 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 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))))
(if (<=.f64 (*.f64 w w) #s(literal 20000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))))
(if (<=.f64 (*.f64 w w) #s(literal 20000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.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 #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
(if (<=.f64 r #s(literal 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #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 6980579422424269/2251799813685248 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) 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 6980579422424269/2251799813685248 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) 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 6980579422424269/2251799813685248 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r 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 #s(literal -3/2 binary64) (/.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 -2 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #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) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(if (<=.f64 r #s(literal 4278419646001971/4503599627370496 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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64)))
Outputs
(if (<=.f64 w #s(literal 200000000000000000356669989717583673029127285120602785421403055540259005695579907124093741598568592199753794072441956471287615292063257246907506366505126894812266496 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 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 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
(if (<=.f64 w #s(literal 200000000000000000356669989717583673029127285120602785421403055540259005695579907124093741598568592199753794072441956471287615292063257246907506366505126894812266496 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 w r)) (/.f64 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 #s(literal -3/2 binary64) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal -1/4 binary64))) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
(if (<=.f64 r #s(literal 370 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))
(if (<=.f64 r #s(literal 370 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 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 #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.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 -2 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (neg.f64 (*.f64 r 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 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.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 r (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #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 #s(literal -1/4 binary64)) (*.f64 r (*.f64 w r)) (+.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 r (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -2 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (*.f64 (*.f64 w r) (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (+.f64 v #s(literal -1 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 w r)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))))
(if (<=.f64 (*.f64 w w) #s(literal 20000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))))
(if (<=.f64 (*.f64 w w) #s(literal 20000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w r) (*.f64 w #s(literal -1/4 binary64))) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -3/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))))
(if (<=.f64 (*.f64 w w) #s(literal 20000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))))
(if (<=.f64 (*.f64 w w) #s(literal 20000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 w r) (*.f64 w #s(literal -1/4 binary64))) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal -3/8 binary64))) w (/.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 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r 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 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 w r)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
(if (<=.f64 r #s(literal 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64)))))
(if (<=.f64 r #s(literal 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal -1/4 binary64))) w (/.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 -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 w 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 6980579422424269/2251799813685248 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) 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 r (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal 6980579422424269/2251799813685248 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 w r) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) 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 6980579422424269/2251799813685248 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) 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 r (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal 6980579422424269/2251799813685248 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 w r) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) 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 6980579422424269/2251799813685248 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r 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 #s(literal -3/2 binary64) (/.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 r (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal 6980579422424269/2251799813685248 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 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) (+.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 -2 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.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 r (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -2 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 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 #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) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(if (<=.f64 r #s(literal 4278419646001971/4503599627370496 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 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* 1/8 (+ (* v -2) 3)) r) (* w (* r w))) (- 1 v))) 9/2) #s(approx (/ (+ (* r (* r -3/2)) 2) (* r r)) #s(literal -3/2 binary64)))

soundness2.1s (15.4%)

Memory
-4.5MiB live, 1 404.1MiB allocated
Rules
19 762×lower-fma.f64
19 762×lower-fma.f32
14 382×lower-fma.f64
14 382×lower-fma.f32
12 484×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068430
096430
1457389
23440389
08550360
038612866
1128012146
2427211810
0845411038
084507
0113498
1520457
23920457
08839415
022114
036114
1149104
21353104
0896594
02138754
16468524
220068092
369108072
080747602
059422
092415
1424371
23350371
08215340
02274018
17453856
225803578
082123390
Stop Event
fuel
iter limit
node limit
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
node limit
iter limit
Compiler

Compiled 2 077 to 826 computations (60.2% saved)

preprocess386.0ms (2.8%)

Memory
-108.3MiB live, 278.7MiB allocated
Remove

(abs r)

Compiler

Compiled 2 104 to 778 computations (63% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...