Rosa's TurbineBenchmark

Time bar (total: 14.5s)

analyze121.0ms (0.8%)

Memory
29.9MiB live, 185.6MiB 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)

sample1.6s (11%)

Memory
22.1MiB live, 2 583.8MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 911.0ms
ival-mult: 509.0ms (55.9% of total)
ival-sub: 186.0ms (20.4% of total)
ival-div: 148.0ms (16.2% of total)
ival-add: 39.0ms (4.3% of total)
exact: 19.0ms (2.1% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess687.0ms (4.8%)

Memory
-17.4MiB live, 543.3MiB allocated
Algorithm
egg-herbie
Rules
16 612×lower-fma.f64
16 612×lower-fma.f32
6 932×lower-*.f32
6 918×lower-*.f64
1 710×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

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

explain428.0ms (3%)

Memory
22.9MiB live, 579.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
480-0-(*.f64 (*.f64 w w) r)
170-1(-4.417313092356879e+32 2.5235730888918034e+65 1.8571774824065486e-222)(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r))
140-2(-1.3615594138586968e-146 4.200397597808183e-294 2.5135117549756335e+271)(*.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))
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) (*.f64 r r))
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*o280
*.f64(*.f64 (*.f64 w w) r)n*u130
/.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)overflow59
(*.f64 w w)overflow73
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r))overflow81
(*.f64 (*.f64 (*.f64 w w) r) r)overflow71
*.f64(*.f64 (*.f64 (*.f64 w w) r) r)n*o40
*.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))n*o10
Confusion
Predicted +Predicted -
+500
-2204
Precision
0.9615384615384616
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5000
-20204
Precision?
0.9615384615384616
Recall?
1.0
Freqs
test
numberfreq
0204
147
25
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
67.0ms512×0valid
Compiler

Compiled 360 to 92 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 20.0ms (48% of total)
ival-sub: 9.0ms (21.6% of total)
ival-div: 8.0ms (19.2% of total)
ival-add: 2.0ms (4.8% of total)
ival-true: 1.0ms (2.4% of total)
exact: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.1%
(-.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)

simplify425.0ms (2.9%)

Memory
-15.2MiB live, 784.4MiB 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)

localize90.0ms (0.6%)

Memory
13.0MiB live, 132.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy95.9%
(/.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))
accuracy95.3%
(*.f64 (*.f64 (*.f64 w w) r) r)
accuracy94.6%
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r))
accuracy82.9%
(*.f64 (*.f64 w w) r)
Samples
47.0ms256×0valid
Compiler

Compiled 148 to 24 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 25.0ms (73.4% of total)
ival-sub: 4.0ms (11.7% of total)
ival-div: 3.0ms (8.8% of total)
ival-add: 1.0ms (2.9% of total)
exact: 1.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory
20.1MiB live, 58.2MiB allocated
Counts
8 → 216
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))>
#<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))>
#<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)))>
#<alt (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))>
#<alt (*.f64 (*.f64 w w) r)>
#<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))>
#<alt (*.f64 (*.f64 (*.f64 w w) r) r)>
#<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))>
Outputs
#<alt 3/8>
#<alt (+ 3/8 (* -1/4 v))>
#<alt (+ 3/8 (* -1/4 v))>
#<alt (+ 3/8 (* -1/4 v))>
#<alt (* -1/4 v)>
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
#<alt (* -1/4 v)>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -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)))))>
#<alt (- (+ (* 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)))))>
#<alt (- (+ (* 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)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -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)))))>
#<alt (- (+ (* -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))))))>
#<alt (- (+ (* -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)))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 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)))))>
#<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)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (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))))))>
#<alt (* (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))))))>
#<alt (* (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))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (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))))))>
#<alt (* (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))))))>
#<alt (* (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))))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 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))))>
#<alt (- (+ 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))))>
#<alt (- (+ 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))))>
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 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)))))>
#<alt (- (+ 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))))))>
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))>
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))>
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (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)))))>
#<alt (* (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)))))>
#<alt (* (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)))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (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)))))>
#<alt (* (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)))))>
#<alt (* (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)))))>
#<alt 3>
#<alt (+ 3 (* -2 v))>
#<alt (+ 3 (* -2 v))>
#<alt (+ 3 (* -2 v))>
#<alt (* -2 v)>
#<alt (* v (- (* 3 (/ 1 v)) 2))>
#<alt (* v (- (* 3 (/ 1 v)) 2))>
#<alt (* v (- (* 3 (/ 1 v)) 2))>
#<alt (* -2 v)>
#<alt (* -1 (* v (- 2 (* 3 (/ 1 v)))))>
#<alt (* -1 (* v (- 2 (* 3 (/ 1 v)))))>
#<alt (* -1 (* v (- 2 (* 3 (/ 1 v)))))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* 3/8 (* (pow r 2) (pow w 2)))>
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))>
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))>
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* 3/8 (* (pow r 2) (pow w 2)))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))))))>
#<alt (+ (* 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))))))))))>
#<alt (* 1/4 (* (pow r 2) (pow w 2)))>
#<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))))>
#<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)))))>
#<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))))))>
#<alt (* 1/4 (* (pow r 2) (pow w 2)))>
#<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))))>
#<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))))>
#<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))))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
Calls

54 calls:

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

simplify434.0ms (3%)

Memory
-27.4MiB live, 748.1MiB 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
225743578
082093390
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))
(* 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)))))
(* (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)))
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 w)) (/.f64 (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 w)) (/.f64 (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 w)) (/.f64 (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))))))
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(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* 3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))
(+ (* 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))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #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))))))))
(fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64)) (*.f64 (*.f64 (*.f64 r r) (*.f64 v (*.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 (*.f64 v 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 (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64))))
(* 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 #s(literal -1/8 binary64) (*.f64 r (*.f64 r (/.f64 (*.f64 w w) 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 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) (*.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (neg.f64 v)) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (fma.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)) (*.f64 #s(literal -1/8 binary64) (*.f64 r (*.f64 r (/.f64 (*.f64 w w) 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 #s(literal -1/8 binary64) (*.f64 r (*.f64 r (/.f64 (*.f64 w w) 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 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) (*.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (neg.f64 v)) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(-.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (*.f64 r (*.f64 r (/.f64 (*.f64 w w) v))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 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))))
(* 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))))
(* 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))))

rewrite444.0ms (3.1%)

Memory
1.5MiB live, 593.9MiB allocated
Algorithm
batch-egg-rewrite
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 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r))
(*.f64 (*.f64 (*.f64 w w) r) r)
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
Outputs
(+.f64 #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)))))
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(*.f64 (/.f64 (neg.f64 (*.f64 r (*.f64 w (*.f64 r w)))) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal -1 binary64)) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))))
(*.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w))))) #s(literal -1 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))

eval82.0ms (0.6%)

Memory
-4.8MiB live, 225.7MiB allocated
Compiler

Compiled 29 622 to 2 008 computations (93.2% saved)

prune131.0ms (0.9%)

Memory
34.1MiB live, 192.1MiB allocated
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New59223615
Fresh000
Picked101
Done000
Total59323616
Accuracy
100.0%
Counts
616 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(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))))
22.7%
(fma.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 (*.f64 (*.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 #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 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (*.f64 (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)))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(literal -9/2 binary64))
58.4%
(fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (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)))
55.4%
(fma.f64 (+.f64 #s(literal 27 binary64) (/.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)) #s(literal 3 binary64)) #s(literal 9 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)) #s(literal -9/2 binary64)))
58.6%
(-.f64 (fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (/.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))
94.6%
(-.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))
48.3%
(-.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))
56.2%
(-.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))
92.2%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) r) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
90.7%
(-.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))
98.0%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
74.3%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))) #s(literal 9/2 binary64))
97.9%
(-.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)))
53.7%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r))) #s(literal 9/2 binary64))
48.6%
(-.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))
71.3%
(-.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))
45.9%
#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)))
74.3%
#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 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
73.4%
#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))))
71.3%
#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))))
85.7%
#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)))))
58.3%
#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) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
53.7%
#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))))))
Compiler

Compiled 1 512 to 896 computations (40.7% saved)

simplify451.0ms (3.1%)

Memory
20.2MiB live, 758.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.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 (*.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))))))
cost-diff320
(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)))
cost-diff1664
(*.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)))))
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)))
cost-diff0
(*.f64 r r)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff0
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 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) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
cost-diff0
(*.f64 r r)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-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 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.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 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.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
22 502×lower-fma.f32
22 494×lower-fma.f64
7 064×lower-*.f32
7 038×lower-*.f64
2 374×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060594
095581
1230569
2643563
32835555
46739555
08151530
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 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.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 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.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 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))
(*.f64 r (*.f64 w (*.f64 r w)))
(*.f64 w (*.f64 r w))
w
(*.f64 r w)
(/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(*.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 #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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))
(*.f64 w w)
w
(*.f64 (*.f64 r r) #s(literal -3/8 binary64))
#s(literal -3/8 binary64)
#s(literal -3/2 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 #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 (*.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 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 w 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 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))
#s(literal 2 binary64)
(*.f64 r (*.f64 r (*.f64 w w)))
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)))
#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 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(*.f64 r (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 #s(literal 1 binary64) v)
#s(literal 1 binary64)
(/.f64 #s(literal -3/2 binary64) (*.f64 w w))
#s(literal -3/2 binary64)
Outputs
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.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 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (*.f64 r (/.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 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (*.f64 r (/.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 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))
(/.f64 (*.f64 w (*.f64 w (*.f64 r (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))))) (-.f64 #s(literal 1 binary64) v))
(*.f64 r (*.f64 w (*.f64 r w)))
(*.f64 w (*.f64 r w))
w
(*.f64 r w)
(/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v))
(*.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 #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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #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) (fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))
(fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -3/8 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64))
(*.f64 w w)
w
(*.f64 (*.f64 r r) #s(literal -3/8 binary64))
#s(literal -3/8 binary64)
#s(literal -3/2 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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (*.f64 r (/.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 w) (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r w) (-.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)))
(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 (*.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))))))
#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 (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (*.f64 r (/.f64 r (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64))))
(*.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 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (*.f64 r (/.f64 r (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
(*.f64 w 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 #s(literal 2 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (/.f64 r (+.f64 v #s(literal -1 binary64)))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 w (*.f64 r w))))
#s(literal 2 binary64)
(*.f64 r (*.f64 r (*.f64 w w)))
(*.f64 r (*.f64 w (*.f64 r w)))
r
(*.f64 r (*.f64 w w))
(*.f64 w (*.f64 r 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)))
(fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 r (/.f64 r (+.f64 v #s(literal -1 binary64)))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))
#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 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(*.f64 r (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 #s(literal 1 binary64) v)
#s(literal 1 binary64)
(/.f64 #s(literal -3/2 binary64) (*.f64 w w))
#s(literal -3/2 binary64)

localize288.0ms (2%)

Memory
-42.4MiB live, 414.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy93.0%
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))
accuracy88.0%
(+.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))))
accuracy82.9%
(*.f64 r (*.f64 w w))
accuracy66.7%
(*.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)))))
accuracy99.8%
(*.f64 w (*.f64 r w))
accuracy99.8%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy99.6%
(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))
accuracy92.6%
(*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
accuracy99.8%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy99.8%
(*.f64 (*.f64 r r) #s(literal -3/8 binary64))
accuracy94.7%
#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 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
accuracy76.7%
(fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))
accuracy100.0%
(*.f64 r r)
accuracy99.8%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy46.0%
#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)))
accuracy99.8%
(*.f64 w (*.f64 r w))
accuracy99.8%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy99.6%
(*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))
accuracy95.3%
(*.f64 r (*.f64 w (*.f64 r w)))
Samples
85.0ms241×0valid
16.0ms1valid
8.0ms2valid
Compiler

Compiled 563 to 58 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-mult: 45.0ms (58% of total)
ival-div: 11.0ms (14.2% of total)
ival-sub: 9.0ms (11.6% of total)
ival-add: 8.0ms (10.3% of total)
adjust: 2.0ms (2.6% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series43.0ms (0.3%)

Memory
15.8MiB live, 92.8MiB allocated
Counts
24 → 648
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))>
#<alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))>
#<alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))))>
#<alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))>
#<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)))>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 r r))>
#<alt (*.f64 r r)>
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))>
#<alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))>
#<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)))>
#<alt (*.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)))))>
#<alt (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)))>
#<alt #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))))))>
#<alt (*.f64 w w)>
#<alt (*.f64 r (*.f64 w (*.f64 r w)))>
#<alt (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))>
#<alt (*.f64 w (*.f64 r w))>
#<alt (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))>
#<alt (*.f64 (*.f64 r r) #s(literal -3/8 binary64))>
#<alt (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))>
#<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))>
#<alt (*.f64 r (*.f64 w w))>
#<alt (+.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))))>
#<alt (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))>
Outputs
#<alt 3/8>
#<alt (+ 3/8 (* -1/4 v))>
#<alt (+ 3/8 (* -1/4 v))>
#<alt (+ 3/8 (* -1/4 v))>
#<alt (* -1/4 v)>
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
#<alt (* -1/4 v)>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* (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))))))>
#<alt (* (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))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
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#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (/ 2 (* (pow r 2) (pow w 2)))>
#<alt (/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2))>
#<alt (/ (+ (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))) (* 2 (/ 1 (pow w 2)))) (pow r 2))>
#<alt (/ (+ (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))) (* 2 (/ 1 (pow w 2)))) (pow r 2))>
#<alt (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (* (pow r 2) (- (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2))))))>
#<alt (* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2)))))>
#<alt (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (* (pow r 2) (- (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2))))))>
#<alt (* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2)))))>
#<alt (/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))>
#<alt (/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2))>
#<alt (/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2))>
#<alt (/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2))>
#<alt (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -3/8 (pow r 2)) (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -3/8 (pow r 2)) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* v (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -3/8 (pow r 2)) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* v (+ (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))) (* v (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))))))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 3))) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -1/4 (pow r 2)) (+ (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -1 (/ (+ (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2)))) (* 1/8 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v))) v)) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (pow r 2)) (* 3 (pow r 2)))) (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v))) v)) (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))>
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))>
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))>
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))>
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))>
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))>
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))>
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))>
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))>
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))>
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))>
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))>
#<alt (* 3 (pow r 2))>
#<alt (+ (* 3 (pow r 2)) (* v (- (* -2 (pow r 2)) (* -3 (pow r 2)))))>
#<alt (+ (* 3 (pow r 2)) (* v (- (+ (* -2 (pow r 2)) (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -3 (pow r 2)))))>
#<alt (+ (* 3 (pow r 2)) (* v (- (+ (* -2 (pow r 2)) (* v (- (* v (- (* -2 (pow r 2)) (* -3 (pow r 2)))) (* -1 (- (* -2 (pow r 2)) (* -3 (pow r 2))))))) (* -3 (pow r 2)))))>
#<alt (* 2 (pow r 2))>
#<alt (- (+ (* -3 (/ (pow r 2) v)) (* 2 (pow r 2))) (* -2 (/ (pow r 2) v)))>
#<alt (- (+ (* -3 (/ (pow r 2) v)) (+ (* -3 (/ (pow r 2) (pow v 2))) (* 2 (pow r 2)))) (+ (* -2 (/ (pow r 2) v)) (* -2 (/ (pow r 2) (pow v 2)))))>
#<alt (- (+ (* -3 (/ (pow r 2) v)) (+ (* -3 (/ (pow r 2) (pow v 3))) (* 2 (pow r 2)))) (+ (* -2 (/ (pow r 2) v)) (+ (* -2 (/ (pow r 2) (pow v 3))) (* -1 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))))))>
#<alt (* 2 (pow r 2))>
#<alt (+ (* -1 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v)) (* 3 (pow r 2))) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (pow r 2))) (* 3 (pow r 2))) v)) (* 3 (pow r 2))) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))>
Calls

162 calls:

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

simplify719.0ms (5%)

Memory
11.4MiB live, 680.9MiB allocated
Algorithm
egg-herbie
Rules
21 098×lower-fma.f64
21 098×lower-fma.f32
4 730×lower-*.f64
4 730×lower-*.f32
3 356×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053313558
1172712571
2575412323
0830211486
Stop Event
iter limit
node limit
Counts
648 → 648
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)
(- (+ (* -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 (* 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 (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 (+ (* -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 (* 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))))))
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(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(* -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)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 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)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* -3/8 (pow r 2))
(* -3/8 (pow r 2))
(* -3/8 (pow r 2))
(* -3/8 (pow r 2))
(* -3/8 (pow r 2))
(* -3/8 (pow r 2))
(* -3/8 (pow r 2))
(* -3/8 (pow r 2))
(* -3/8 (pow r 2))
(* -3/8 (pow r 2))
(* -3/8 (pow r 2))
(* -3/8 (pow r 2))
(/ (* (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))
(/ (* (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))
(* (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))
(+ 9/2 (* 3/8 (* (pow r 2) (pow w 2))))
(+ 9/2 (+ (* 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)))))
(+ 9/2 (+ (* 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)))))))))
(+ 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)))))))))))
(+ 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 (+ (* 1/8 (/ (- (* -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))))))
(+ 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))
(/ 2 (* (pow r 2) (pow w 2)))
(/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2))
(/ (+ (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))) (* 2 (/ 1 (pow w 2)))) (pow r 2))
(/ (+ (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))) (* 2 (/ 1 (pow w 2)))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))
(* (pow r 2) (- (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2))))))
(* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2)))))
(* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2)))))
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))
(* (pow r 2) (- (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2))))))
(* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2)))))
(* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2)))))
(/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))
(/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2))
(/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2))
(/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2))
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))
(- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))
(- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))
(- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))
(- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))
(- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))
(- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))
(- (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))
(- (+ (* -3/8 (pow r 2)) (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))
(- (+ (* -3/8 (pow r 2)) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* v (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))))))) (* 3/2 (/ 1 (pow w 2))))
(- (+ (* -3/8 (pow r 2)) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* v (+ (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))) (* v (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))))))))) (* 3/2 (/ 1 (pow w 2))))
(- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))
(- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))
(- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))) (* 3/2 (/ 1 (pow w 2))))
(- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 3))) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))))) (* 3/2 (/ 1 (pow w 2))))
(- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))
(- (+ (* -1/4 (pow r 2)) (+ (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))
(- (+ (* -1 (/ (+ (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2)))) (* 1/8 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v))) v)) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (pow r 2)) (* 3 (pow r 2)))) (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v))) v)) (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(* 3 (pow r 2))
(+ (* 3 (pow r 2)) (* v (- (* -2 (pow r 2)) (* -3 (pow r 2)))))
(+ (* 3 (pow r 2)) (* v (- (+ (* -2 (pow r 2)) (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -3 (pow r 2)))))
(+ (* 3 (pow r 2)) (* v (- (+ (* -2 (pow r 2)) (* v (- (* v (- (* -2 (pow r 2)) (* -3 (pow r 2)))) (* -1 (- (* -2 (pow r 2)) (* -3 (pow r 2))))))) (* -3 (pow r 2)))))
(* 2 (pow r 2))
(- (+ (* -3 (/ (pow r 2) v)) (* 2 (pow r 2))) (* -2 (/ (pow r 2) v)))
(- (+ (* -3 (/ (pow r 2) v)) (+ (* -3 (/ (pow r 2) (pow v 2))) (* 2 (pow r 2)))) (+ (* -2 (/ (pow r 2) v)) (* -2 (/ (pow r 2) (pow v 2)))))
(- (+ (* -3 (/ (pow r 2) v)) (+ (* -3 (/ (pow r 2) (pow v 3))) (* 2 (pow r 2)))) (+ (* -2 (/ (pow r 2) v)) (+ (* -2 (/ (pow r 2) (pow v 3))) (* -1 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))))))
(* 2 (pow r 2))
(+ (* -1 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v)) (* 3 (pow r 2))) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (pow r 2))) (* 3 (pow r 2))) v)) (* 3 (pow r 2))) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))
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 (*.f64 (*.f64 r r) (*.f64 #s(literal -1/8 binary64) (*.f64 w 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) (fma.f64 (*.f64 w w) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal -3/8 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 (*.f64 w w) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal -3/8 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 (*.f64 r r) (*.f64 #s(literal -1/8 binary64) (*.f64 w 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))))))
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(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))
(* 3 (pow r 2))
(*.f64 (*.f64 r r) #s(literal 3 binary64))
(+ (* 3 (pow r 2)) (* v (- (* -2 (pow r 2)) (* -3 (pow r 2)))))
(fma.f64 v (*.f64 r r) (*.f64 (*.f64 r r) #s(literal 3 binary64)))
(+ (* 3 (pow r 2)) (* v (- (+ (* -2 (pow r 2)) (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -3 (pow r 2)))))
(fma.f64 v (*.f64 (*.f64 r r) (+.f64 v #s(literal 1 binary64))) (*.f64 (*.f64 r r) #s(literal 3 binary64)))
(+ (* 3 (pow r 2)) (* v (- (+ (* -2 (pow r 2)) (* v (- (* v (- (* -2 (pow r 2)) (* -3 (pow r 2)))) (* -1 (- (* -2 (pow r 2)) (* -3 (pow r 2))))))) (* -3 (pow r 2)))))
(fma.f64 v (fma.f64 v (*.f64 (*.f64 r r) (+.f64 v #s(literal 1 binary64))) (*.f64 r r)) (*.f64 (*.f64 r r) #s(literal 3 binary64)))
(* 2 (pow r 2))
(*.f64 #s(literal 2 binary64) (*.f64 r r))
(- (+ (* -3 (/ (pow r 2) v)) (* 2 (pow r 2))) (* -2 (/ (pow r 2) v)))
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 r r) v))
(- (+ (* -3 (/ (pow r 2) v)) (+ (* -3 (/ (pow r 2) (pow v 2))) (* 2 (pow r 2)))) (+ (* -2 (/ (pow r 2) v)) (* -2 (/ (pow r 2) (pow v 2)))))
(+.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 r r) (/.f64 (*.f64 (*.f64 r r) #s(literal -3 binary64)) (*.f64 v v))) (/.f64 (*.f64 r r) v)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 v v)))
(- (+ (* -3 (/ (pow r 2) v)) (+ (* -3 (/ (pow r 2) (pow v 3))) (* 2 (pow r 2)))) (+ (* -2 (/ (pow r 2) v)) (+ (* -2 (/ (pow r 2) (pow v 3))) (* -1 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))))))
(-.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 r r) (/.f64 (*.f64 (*.f64 r r) #s(literal -3 binary64)) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 r r) v)) (fma.f64 r (/.f64 r (*.f64 v v)) (/.f64 (*.f64 (*.f64 r r) #s(literal -2 binary64)) (*.f64 v (*.f64 v v)))))
(* 2 (pow r 2))
(*.f64 #s(literal 2 binary64) (*.f64 r r))
(+ (* -1 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 r r) v))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v)) (* 3 (pow r 2))) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (fma.f64 r r (/.f64 (*.f64 r r) v)) v))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (pow r 2))) (* 3 (pow r 2))) v)) (* 3 (pow r 2))) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (fma.f64 r r (/.f64 (fma.f64 r r (/.f64 (*.f64 r r) v)) v)) v))

rewrite444.0ms (3.1%)

Memory
17.4MiB live, 598.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 934×lower-*.f32
4 908×lower-*.f64
3 904×lower-fma.f32
3 896×lower-fma.f64
3 200×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060438
095431
1449393
23973393
08121369
Stop Event
iter limit
node limit
iter limit
Counts
24 → 663
Calls
Call 1
Inputs
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.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 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))))
(+.f64 #s(literal 3 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 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(*.f64 r r)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 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 (*.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)))))
(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)))
#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 w w)
(*.f64 r (*.f64 w (*.f64 r w)))
(*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))
(*.f64 w (*.f64 r w))
(fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))
(*.f64 (*.f64 r r) #s(literal -3/8 binary64))
(*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(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 (/.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 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))
Outputs
(+.f64 (*.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64))
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 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 (*.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))
(fma.f64 #s(literal -1/4 binary64) v #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 #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 w) (*.f64 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 -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r 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 w) (*.f64 w (/.f64 r (-.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 w) (*.f64 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 (*.f64 (*.f64 r w) (*.f64 w (/.f64 r (-.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 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) (neg.f64 (-.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 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64))
(+.f64 #s(literal -9/2 binary64) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))))
(+.f64 (fma.f64 (*.f64 (*.f64 r w) (*.f64 w (/.f64 r (-.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 w) (*.f64 w (/.f64 r (-.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 w) (*.f64 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))) (-.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r 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))) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
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(pow.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 w w)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r))) (-.f64 #s(literal 1 binary64) v))) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))) #s(literal -1 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 w (*.f64 w w)) (*.f64 w (*.f64 w w))) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r))))) (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (*.f64 w w)))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w)))))))
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(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)))) #s(literal -1 binary64)))
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(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) (-.f64 #s(literal 1 binary64) v)) r)
(*.f64 (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)))
(*.f64 (/.f64 (*.f64 r (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 v #s(literal 1 binary64)))

eval261.0ms (1.8%)

Memory
31.3MiB live, 420.7MiB allocated
Compiler

Compiled 59 907 to 2 711 computations (95.5% saved)

prune393.0ms (2.7%)

Memory
-0.4MiB live, 349.1MiB allocated
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New1 610161 626
Fresh12618
Picked415
Done000
Total1 626231 649
Accuracy
100.0%
Counts
1 649 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.4%
(fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 (*.f64 (*.f64 r w) (*.f64 w (/.f64 r (-.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)))
55.4%
(fma.f64 (+.f64 #s(literal 27 binary64) (/.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)) #s(literal 3 binary64)) #s(literal 9 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)) #s(literal -9/2 binary64)))
48.3%
(-.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))
90.7%
(-.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))
89.3%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
53.9%
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
95.1%
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
53.7%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r))) #s(literal 9/2 binary64))
48.6%
(-.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))
78.4%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (* (* r (* w (* r w))) (/ (* 1/8 (+ (* v -2) 3)) (- 1 v)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(literal 9/2 binary64))
53.8%
(-.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)))
80.8%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
94.5%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
80.8%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
80.8%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
43.3%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal 9/64 binary64) #s(literal -9/4 binary64)) r (*.f64 (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) r))) (*.f64 (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal 3/2 binary64)) r)))
45.9%
#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))
45.9%
#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)))
58.3%
#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(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
85.7%
#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)))))
20.1%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))))
19.6%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))
33.0%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
Compiler

Compiled 1 181 to 698 computations (40.9% saved)

simplify386.0ms (2.7%)

Memory
-40.1MiB live, 618.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))
cost-diff0
(*.f64 w w)
cost-diff0
(*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.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 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))))
cost-diff0
(*.f64 w w)
cost-diff0
(*.f64 r (*.f64 w w))
cost-diff0
(fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
cost-diff0
#s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))
cost-diff0
(*.f64 w w)
cost-diff0
(*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.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 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))
cost-diff0
(*.f64 r r)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff0
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
cost-diff0
(*.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 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
Rules
13 162×lower-fma.f32
13 154×lower-fma.f64
7 038×lower-*.f32
7 018×lower-*.f64
1 718×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075717
0108717
1235717
2597684
32163678
45378678
08108664
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 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (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)))
#s(literal 3 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))
w
(*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))
(/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v))
(*.f64 (*.f64 r w) r)
(*.f64 r w)
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
v
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))
#s(literal -1/4 binary64)
#s(literal 3/8 binary64)
#s(literal 9/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))
(*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))
(*.f64 w w)
w
#s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))
#s(literal 2 binary64)
(*.f64 r (*.f64 r (*.f64 w w)))
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) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(*.f64 r (*.f64 w w))
r
(*.f64 w w)
w
(*.f64 r #s(literal -3/8 binary64))
#s(literal -3/8 binary64)
(+.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)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))))
(*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))))
(*.f64 w w)
w
#s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))
(/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))
(fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w)))
(*.f64 r r)
r
(/.f64 #s(literal -3/2 binary64) (*.f64 w w))
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 w w))
#s(literal 2 binary64)
Outputs
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (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)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (/.f64 w (+.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 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))
(fma.f64 (*.f64 r (*.f64 w (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (/.f64 r (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))
w
(*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))
(/.f64 (*.f64 r (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (-.f64 #s(literal 1 binary64) v))
(/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v))
(/.f64 (*.f64 r (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))
(*.f64 (*.f64 r w) r)
(*.f64 r (*.f64 r w))
(*.f64 r w)
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
v
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))
#s(literal -1/4 binary64)
#s(literal 3/8 binary64)
#s(literal 9/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.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 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 r (*.f64 r w)))))))
(*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))
(*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 r (*.f64 r w))))))
(*.f64 w w)
w
#s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))
#s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 r (*.f64 r w)))))
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))
(/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 r (*.f64 r w))))
#s(literal 2 binary64)
(*.f64 r (*.f64 r (*.f64 w w)))
(*.f64 w (*.f64 r (*.f64 r w)))
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) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.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)) (fma.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64))))
(fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) #s(literal -3/2 binary64)))
(*.f64 r (*.f64 w w))
r
(*.f64 w w)
w
(*.f64 r #s(literal -3/8 binary64))
#s(literal -3/8 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)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 r (*.f64 r (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))))
(*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))))
(*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 r (*.f64 r (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))))
(*.f64 w w)
w
#s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))
#s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 r (*.f64 r (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))
(/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))
(/.f64 (fma.f64 r (*.f64 r (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))
(fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w)))
(fma.f64 r (*.f64 r (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 w w)))
(*.f64 r r)
r
(/.f64 #s(literal -3/2 binary64) (*.f64 w w))
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 w w))
#s(literal 2 binary64)

localize258.0ms (1.8%)

Memory
14.8MiB live, 499.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy66.9%
(fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w)))
accuracy66.7%
(*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))))
accuracy62.7%
(/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))
accuracy62.3%
#s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))
accuracy99.8%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy98.5%
(fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
accuracy94.7%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
accuracy82.9%
(*.f64 r (*.f64 w w))
accuracy95.3%
(*.f64 r (*.f64 r (*.f64 w w)))
accuracy82.9%
(*.f64 r (*.f64 w w))
accuracy66.7%
(*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))
accuracy46.0%
#s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))
accuracy100.0%
(*.f64 r r)
accuracy99.8%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy94.7%
#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)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
accuracy50.8%
#s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))
accuracy99.7%
(*.f64 (*.f64 r w) r)
accuracy95.5%
(/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v))
accuracy95.2%
(fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))
accuracy91.3%
(*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))
Samples
136.0ms256×0valid
Compiler

Compiled 528 to 64 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 111.0ms
ival-div: 51.0ms (46.1% of total)
ival-mult: 36.0ms (32.6% of total)
ival-add: 15.0ms (13.6% of total)
ival-sub: 7.0ms (6.3% of total)
exact: 1.0ms (0.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series45.0ms (0.3%)

Memory
18.4MiB live, 98.5MiB allocated
Counts
24 → 672
Calls
Call 1
Inputs
#<alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))>
#<alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 r r))>
#<alt (*.f64 r r)>
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))>
#<alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))>
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))>
#<alt (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))>
#<alt (*.f64 w w)>
#<alt #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))>
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))>
#<alt (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))>
#<alt (*.f64 r (*.f64 w w))>
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))))>
#<alt (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))))>
#<alt #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))>
#<alt (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))>
#<alt (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))>
#<alt (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v))>
#<alt (*.f64 (*.f64 r w) r)>
#<alt #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))>
#<alt (*.f64 r (*.f64 r (*.f64 w w)))>
#<alt (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))>
#<alt (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w)))>
Outputs
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))>
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))>
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2)))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 3))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt 3>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt 3>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))>
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#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
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#<alt (* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* (pow r 2) (- (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (+ (* -1/8 (* v (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2)))))) (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (+ (* v (+ (* -1/8 (* v (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2)))))) (* -1/8 (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2))))))) (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (+ (* v (+ (* -1/8 (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* v (+ (* -1/8 (* v (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2)))))) (* -1/8 (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2))))))))) (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) v)) (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) v)) (+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) (pow v 2))) (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))))))>
#<alt (+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) v)) (+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) (pow v 2))) (+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) (pow v 3))) (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))))))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (+ (* 1/8 (/ (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2)))) v)) (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2))))) (* 1/8 (/ (* (pow w 2) (- (* 2 (pow r 2)) (* 3 (pow r 2)))) v))) v)) (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow w 2) (- (* 2 (pow r 2)) (* 3 (pow r 2))))) (* 1/8 (/ (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2)))) v))) v)) (* -1/8 (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2)))))) v)) (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (/ 2 (* (pow r 2) (pow w 2)))>
#<alt (/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2))>
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#<alt (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))>
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#<alt (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -3/8 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -3/8 (pow r 2)) (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -3/8 (pow r 2)) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* v (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -3/8 (pow r 2)) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* v (+ (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))) (* v (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))))))))) (* 3/2 (/ 1 (pow w 2))))>
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#<alt (- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 3))) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -1/4 (pow r 2)) (+ (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -1 (/ (+ (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2)))) (* 1/8 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v))) v)) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (pow r 2)) (* 3 (pow r 2)))) (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v))) v)) (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
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#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (* 3/8 (* (pow r 2) w))>
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#<alt (+ (* 3/8 (* (pow r 2) w)) (* v (- (+ (* -1/4 (* (pow r 2) w)) (* v (- (* -1/4 (* (pow r 2) w)) (* -3/8 (* (pow r 2) w))))) (* -3/8 (* (pow r 2) w)))))>
#<alt (+ (* 3/8 (* (pow r 2) w)) (* v (- (+ (* -1/4 (* (pow r 2) w)) (* v (- (* v (- (* -1/4 (* (pow r 2) w)) (* -3/8 (* (pow r 2) w)))) (* -1 (- (* -1/4 (* (pow r 2) w)) (* -3/8 (* (pow r 2) w))))))) (* -3/8 (* (pow r 2) w)))))>
#<alt (* 1/4 (* (pow r 2) w))>
#<alt (- (+ (* -3/8 (/ (* (pow r 2) w) v)) (* 1/4 (* (pow r 2) w))) (* -1/4 (/ (* (pow r 2) w) v)))>
#<alt (- (+ (* -3/8 (/ (* (pow r 2) w) v)) (+ (* -3/8 (/ (* (pow r 2) w) (pow v 2))) (* 1/4 (* (pow r 2) w)))) (+ (* -1/4 (/ (* (pow r 2) w) v)) (* -1/4 (/ (* (pow r 2) w) (pow v 2)))))>
#<alt (- (+ (* -3/8 (/ (* (pow r 2) w) v)) (+ (* -3/8 (/ (* (pow r 2) w) (pow v 3))) (* 1/4 (* (pow r 2) w)))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) w)) (* -1/4 (* (pow r 2) w))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) w) v)) (* -1/4 (/ (* (pow r 2) w) (pow v 3))))))>
#<alt (* 1/4 (* (pow r 2) w))>
#<alt (+ (* -1 (/ (- (* 3/8 (* (pow r 2) w)) (* 1/4 (* (pow r 2) w))) v)) (* 1/4 (* (pow r 2) w)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) w)) (* 3/8 (* (pow r 2) w))) v)) (* 3/8 (* (pow r 2) w))) (* 1/4 (* (pow r 2) w))) v)) (* 1/4 (* (pow r 2) w)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) w)) (* 1/4 (* (pow r 2) w))) v)) (* 1/4 (* (pow r 2) w))) (* 3/8 (* (pow r 2) w))) v)) (* 3/8 (* (pow r 2) w))) (* 1/4 (* (pow r 2) w))) v)) (* 1/4 (* (pow r 2) w)))>
#<alt 9/2>
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#<alt 9/2>
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#<alt (+ 9/2 (* 3/8 (* (pow r 2) (pow w 2))))>
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#<alt (+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2)))))))>
#<alt (+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -3/8 (* (pow r 2) (pow w 2)))))))>
#<alt (+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))>
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#<alt (- (+ 9/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2)))))>
#<alt (- (+ 9/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3))))))>
#<alt (+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))>
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#<alt (+ 9/2 (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (+ 9/2 (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
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#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
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#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
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#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (/ (* (pow r 2) w) (- 1 v))>
#<alt (* (pow r 2) w)>
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#<alt (+ (* v (- (* (pow r 2) (* v w)) (* -1 (* (pow r 2) w)))) (* (pow r 2) w))>
#<alt (+ (* v (- (* v (- (* (pow r 2) (* v w)) (* -1 (* (pow r 2) w)))) (* -1 (* (pow r 2) w)))) (* (pow r 2) w))>
#<alt (* -1 (/ (* (pow r 2) w) v))>
#<alt (/ (+ (* -1 (* (pow r 2) w)) (* -1 (/ (* (pow r 2) w) v))) v)>
#<alt (/ (- (+ (* -1 (* (pow r 2) w)) (* -1 (/ (* (pow r 2) w) (pow v 2)))) (/ (* (pow r 2) w) v)) v)>
#<alt (/ (- (+ (* -1 (* (pow r 2) w)) (* -1 (/ (* (pow r 2) w) (pow v 3)))) (+ (/ (* (pow r 2) w) v) (/ (* (pow r 2) w) (pow v 2)))) v)>
#<alt (* -1 (/ (* (pow r 2) w) v))>
#<alt (* -1 (/ (+ (* (pow r 2) w) (/ (* (pow r 2) w) v)) v))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) w) v)) (* (pow r 2) w)) v)) (* (pow r 2) w)) v))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) w) v) (* -1 (* (pow r 2) w))) v)) (* (pow r 2) w)) v)) (* (pow r 2) w)) v))>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt -3/2>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt -3/2>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (/ 2 (* (pow r 2) (pow w 2)))>
#<alt (/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2))>
#<alt (/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2))>
#<alt (/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2))>
#<alt (/ -3/2 (pow w 2))>
#<alt (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (/ -3/2 (pow w 2))>
#<alt (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))>
#<alt (/ 2 (pow w 2))>
#<alt (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2))))>
#<alt (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2))))>
#<alt (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2))))>
#<alt (* -3/2 (/ (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* -3/2 (/ (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))>
Calls

168 calls:

TimeVariablePointExpression
6.0ms
r
@inf
(+ (* w (* (/ (* (* r w) r) (- 1 v)) (+ (* v -1/4) 3/8))) 9/2)
3.0ms
w
@0
(/ (+ (* (* r r) (/ -3/2 (* w w))) (/ 2 (* w w))) (* r r))
2.0ms
v
@inf
(+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w))))
1.0ms
r
@0
(* (/ (* (* r w) r) (- 1 v)) (+ (* v -1/4) 3/8))
1.0ms
w
@0
(* (/ (* (* r w) r) (- 1 v)) (+ (* v -1/4) 3/8))

simplify461.0ms (3.2%)

Memory
-1.6MiB live, 749.7MiB allocated
Algorithm
egg-herbie
Rules
17 302×lower-fma.f64
17 302×lower-fma.f32
5 084×lower-*.f64
5 084×lower-*.f32
3 296×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056314076
1183613235
2630512934
0850712081
Stop Event
iter limit
node limit
Counts
672 → 672
Calls
Call 1
Inputs
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2))
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2)))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -1/4 (* (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)))))
(- (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 3))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (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 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
3
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
3
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(/ 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))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(* -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))
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(- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 3))) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))))) (* 3/2 (/ 1 (pow w 2))))
(- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))
(- (+ (* -1/4 (pow r 2)) (+ (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))
(- (+ (* -1 (/ (+ (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2)))) (* 1/8 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v))) v)) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (pow r 2)) (* 3 (pow r 2)))) (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v))) v)) (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* w (+ 3/8 (* -1/4 v)))) (- 1 v))
(* 3/8 (* (pow r 2) w))
(+ (* 3/8 (* (pow r 2) w)) (* v (- (* -1/4 (* (pow r 2) w)) (* -3/8 (* (pow r 2) w)))))
(+ (* 3/8 (* (pow r 2) w)) (* v (- (+ (* -1/4 (* (pow r 2) w)) (* v (- (* -1/4 (* (pow r 2) w)) (* -3/8 (* (pow r 2) w))))) (* -3/8 (* (pow r 2) w)))))
(+ (* 3/8 (* (pow r 2) w)) (* v (- (+ (* -1/4 (* (pow r 2) w)) (* v (- (* v (- (* -1/4 (* (pow r 2) w)) (* -3/8 (* (pow r 2) w)))) (* -1 (- (* -1/4 (* (pow r 2) w)) (* -3/8 (* (pow r 2) w))))))) (* -3/8 (* (pow r 2) w)))))
(* 1/4 (* (pow r 2) w))
(- (+ (* -3/8 (/ (* (pow r 2) w) v)) (* 1/4 (* (pow r 2) w))) (* -1/4 (/ (* (pow r 2) w) v)))
(- (+ (* -3/8 (/ (* (pow r 2) w) v)) (+ (* -3/8 (/ (* (pow r 2) w) (pow v 2))) (* 1/4 (* (pow r 2) w)))) (+ (* -1/4 (/ (* (pow r 2) w) v)) (* -1/4 (/ (* (pow r 2) w) (pow v 2)))))
(- (+ (* -3/8 (/ (* (pow r 2) w) v)) (+ (* -3/8 (/ (* (pow r 2) w) (pow v 3))) (* 1/4 (* (pow r 2) w)))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) w)) (* -1/4 (* (pow r 2) w))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) w) v)) (* -1/4 (/ (* (pow r 2) w) (pow v 3))))))
(* 1/4 (* (pow r 2) w))
(+ (* -1 (/ (- (* 3/8 (* (pow r 2) w)) (* 1/4 (* (pow r 2) w))) v)) (* 1/4 (* (pow r 2) w)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) w)) (* 3/8 (* (pow r 2) w))) v)) (* 3/8 (* (pow r 2) w))) (* 1/4 (* (pow r 2) w))) v)) (* 1/4 (* (pow r 2) w)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) w)) (* 1/4 (* (pow r 2) w))) v)) (* 1/4 (* (pow r 2) w))) (* 3/8 (* (pow r 2) w))) v)) (* 3/8 (* (pow r 2) w))) (* 1/4 (* (pow r 2) w))) v)) (* 1/4 (* (pow r 2) w)))
9/2
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow w 2) (+ (* 9/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
9/2
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(+ 9/2 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow r 2) (+ (* 9/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(+ 9/2 (* 3/8 (* (pow r 2) (pow w 2))))
(+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))
(+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2)))))))
(+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -3/8 (* (pow r 2) (pow w 2)))))))
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 9/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))) (* -1/4 (/ (* (pow r 2) (pow w 2)) v)))
(- (+ 9/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2)))))
(- (+ 9/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3))))))
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))
(+ 9/2 (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(+ 9/2 (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(+ 9/2 (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(/ (* (pow r 2) w) (- 1 v))
(* (pow r 2) w)
(+ (* (pow r 2) w) (* (pow r 2) (* v w)))
(+ (* v (- (* (pow r 2) (* v w)) (* -1 (* (pow r 2) w)))) (* (pow r 2) w))
(+ (* v (- (* v (- (* (pow r 2) (* v w)) (* -1 (* (pow r 2) w)))) (* -1 (* (pow r 2) w)))) (* (pow r 2) w))
(* -1 (/ (* (pow r 2) w) v))
(/ (+ (* -1 (* (pow r 2) w)) (* -1 (/ (* (pow r 2) w) v))) v)
(/ (- (+ (* -1 (* (pow r 2) w)) (* -1 (/ (* (pow r 2) w) (pow v 2)))) (/ (* (pow r 2) w) v)) v)
(/ (- (+ (* -1 (* (pow r 2) w)) (* -1 (/ (* (pow r 2) w) (pow v 3)))) (+ (/ (* (pow r 2) w) v) (/ (* (pow r 2) w) (pow v 2)))) v)
(* -1 (/ (* (pow r 2) w) v))
(* -1 (/ (+ (* (pow r 2) w) (/ (* (pow r 2) w) v)) v))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) w) v)) (* (pow r 2) w)) v)) (* (pow r 2) w)) v))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) w) v) (* -1 (* (pow r 2) w))) v)) (* (pow r 2) w)) v)) (* (pow r 2) w)) v))
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
-3/2
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* -3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
-3/2
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(* -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)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 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)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (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))
(/ 2 (* (pow r 2) (pow w 2)))
(/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2))
(/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2))
(/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2))
(/ -3/2 (pow w 2))
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))
(/ -3/2 (pow w 2))
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))
(/ 2 (pow w 2))
(+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2))))
(+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2))))
(+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2))))
(* -3/2 (/ (pow r 2) (pow w 2)))
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* -3/2 (/ (pow r 2) (pow w 2)))
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))
(/ (+ 2 (* -3/2 (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 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (neg.f64 (*.f64 w (*.f64 (*.f64 r r) w))) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (neg.f64 (*.f64 w (*.f64 (*.f64 r r) w))) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(*.f64 (neg.f64 (*.f64 w (*.f64 (*.f64 r r) w))) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)))
(* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(fma.f64 (neg.f64 (*.f64 w (*.f64 (*.f64 r r) w))) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(fma.f64 (*.f64 r r) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (fma.f64 (neg.f64 (*.f64 w (*.f64 (*.f64 r r) w))) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(fma.f64 (*.f64 r r) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (fma.f64 (neg.f64 (*.f64 w (*.f64 (*.f64 r r) w))) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)))
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
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(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64))
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64))
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(*.f64 w (*.f64 w (fma.f64 (*.f64 r r) #s(literal -3/8 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(*.f64 w (*.f64 w (fma.f64 (*.f64 r r) #s(literal -3/8 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(*.f64 w (*.f64 w (fma.f64 (*.f64 r r) #s(literal -3/8 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(*.f64 w (*.f64 w (fma.f64 (*.f64 r r) #s(literal -3/8 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(*.f64 w (*.f64 w (fma.f64 (*.f64 r r) #s(literal -3/8 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
(* (pow w 2) (- (* -3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(*.f64 w (*.f64 w (fma.f64 (*.f64 r r) #s(literal -3/8 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
-3/2
#s(literal -3/2 binary64)
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64))
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64))
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64))
(* -3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64))
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64))
(* (pow r 2) (pow w 2))
(*.f64 w (*.f64 (*.f64 r r) w))
(* (pow r 2) (pow w 2))
(*.f64 w (*.f64 (*.f64 r r) w))
(* (pow r 2) (pow w 2))
(*.f64 w (*.f64 (*.f64 r r) w))
(* (pow r 2) (pow w 2))
(*.f64 w (*.f64 (*.f64 r r) w))
(* (pow r 2) (pow w 2))
(*.f64 w (*.f64 (*.f64 r r) w))
(* (pow r 2) (pow w 2))
(*.f64 w (*.f64 (*.f64 r r) w))
(* (pow r 2) (pow w 2))
(*.f64 w (*.f64 (*.f64 r r) w))
(* (pow r 2) (pow w 2))
(*.f64 w (*.f64 (*.f64 r r) w))
(* (pow r 2) (pow w 2))
(*.f64 w (*.f64 (*.f64 r r) w))
(* (pow r 2) (pow w 2))
(*.f64 w (*.f64 (*.f64 r r) w))
(* (pow r 2) (pow w 2))
(*.f64 w (*.f64 (*.f64 r r) w))
(* (pow r 2) (pow w 2))
(*.f64 w (*.f64 (*.f64 r r) w))
(* (pow r 2) (pow w 2))
(*.f64 w (*.f64 (*.f64 r r) w))
(* (pow r 2) (pow w 2))
(*.f64 w (*.f64 (*.f64 r r) w))
(* (pow r 2) (pow w 2))
(*.f64 w (*.f64 (*.f64 r r) w))
(* (pow r 2) (pow w 2))
(*.f64 w (*.f64 (*.f64 r r) w))
(* (pow r 2) (pow w 2))
(*.f64 w (*.f64 (*.f64 r r) w))
(* (pow r 2) (pow w 2))
(*.f64 w (*.f64 (*.f64 r r) w))
(* (pow r 2) (pow w 2))
(*.f64 w (*.f64 (*.f64 r r) w))
(* (pow r 2) (pow w 2))
(*.f64 w (*.f64 (*.f64 r r) w))
(* (pow r 2) (pow w 2))
(*.f64 w (*.f64 (*.f64 r r) w))
(* (pow r 2) (pow w 2))
(*.f64 w (*.f64 (*.f64 r r) w))
(* (pow r 2) (pow w 2))
(*.f64 w (*.f64 (*.f64 r r) w))
(* (pow r 2) (pow w 2))
(*.f64 w (*.f64 (*.f64 r r) w))
(/ 2 (* (pow r 2) (pow w 2)))
(/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 (*.f64 r r) w)))
(/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2))
(/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))
(/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2))
(/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))
(/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2))
(/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))
(/ -3/2 (pow w 2))
(/.f64 #s(literal -3/2 binary64) (*.f64 w w))
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w))
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w))
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w))
(/ -3/2 (pow w 2))
(/.f64 #s(literal -3/2 binary64) (*.f64 w w))
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w))
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w))
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w w))
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w (*.f64 (*.f64 r r) w)))
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w (*.f64 (*.f64 r r) w)))
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w (*.f64 (*.f64 r r) w)))
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w (*.f64 (*.f64 r r) w)))
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w (*.f64 (*.f64 r r) w)))
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w (*.f64 (*.f64 r r) w)))
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w (*.f64 (*.f64 r r) w)))
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w (*.f64 (*.f64 r r) w)))
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w (*.f64 (*.f64 r r) w)))
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w (*.f64 (*.f64 r r) w)))
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w (*.f64 (*.f64 r r) w)))
(/ (+ 2 (* -3/2 (pow r 2))) (* (pow r 2) (pow w 2)))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w (*.f64 (*.f64 r r) w)))
(/ 2 (pow w 2))
(/.f64 #s(literal 2 binary64) (*.f64 w w))
(+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2))))
(fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w)))
(+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2))))
(fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w)))
(+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2))))
(fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w)))
(* -3/2 (/ (pow r 2) (pow w 2)))
(/.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) (*.f64 w w))
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (*.f64 w w))
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (*.f64 w w))
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (*.f64 w w))
(* -3/2 (/ (pow r 2) (pow w 2)))
(/.f64 (*.f64 r (*.f64 r #s(literal -3/2 binary64))) (*.f64 w w))
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (*.f64 w w))
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (*.f64 w w))
(* (pow r 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (*.f64 w w))
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w))
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w))
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w))
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w))
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w))
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w))
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w))
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w))
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w))
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w))
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w))
(/ (+ 2 (* -3/2 (pow r 2))) (pow w 2))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w))

rewrite337.0ms (2.3%)

Memory
-1.1MiB live, 473.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 182×lower-*.f32
5 162×lower-*.f64
4 446×lower-fma.f32
4 438×lower-fma.f64
3 584×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075624
0108624
1475586
24527586
08819543
Stop Event
iter limit
node limit
iter limit
Counts
24 → 379
Calls
Call 1
Inputs
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (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 #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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))
(*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))))
(*.f64 w w)
#s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.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) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r 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 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))))
(*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))))
#s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))
(*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))
(fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))
(/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v))
(*.f64 (*.f64 r w) r)
#s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))
(*.f64 r (*.f64 r (*.f64 w w)))
(/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r))
(fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w)))
Outputs
(+.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 w (*.f64 (*.f64 r r) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
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(/.f64 (fma.f64 (*.f64 (*.f64 r r) #s(literal -3/2 binary64)) (neg.f64 (*.f64 w w)) (*.f64 (*.f64 w w) #s(literal -2 binary64))) (*.f64 (*.f64 w w) (neg.f64 (*.f64 w w))))
(/.f64 (fma.f64 (*.f64 (*.f64 r r) #s(literal -3/2 binary64)) w (*.f64 (*.f64 w w) (/.f64 #s(literal 2 binary64) w))) (*.f64 w (*.f64 w w)))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -27/8 binary64) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 w (*.f64 w w)))) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r))) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 w (*.f64 w w)))))) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 w w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 w w)) (/.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -2/3 binary64)))) (*.f64 (/.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (*.f64 r r) (*.f64 r r))))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (*.f64 r r) (*.f64 r r)) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 w w) (*.f64 w w)))))) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 r r) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w))))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (/.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (*.f64 r r) (*.f64 r r)))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 w w)) (/.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -2/3 binary64)))))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 w w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 w w)) (/.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -2/3 binary64)))) (*.f64 (/.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (*.f64 r r) (*.f64 r r)))) (fma.f64 (/.f64 #s(literal -27/8 binary64) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 w (*.f64 w w)))) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r))) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 w (*.f64 w w)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 r r) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w)) (fma.f64 (/.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (*.f64 r r) (*.f64 r r)) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 w w) (*.f64 w w)))))) #s(literal -1 binary64))
(*.f64 (fma.f64 (/.f64 #s(literal -27/8 binary64) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 w (*.f64 w w)))) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r))) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 w (*.f64 w w))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 w w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 w w)) (/.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -2/3 binary64)))) (*.f64 (/.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (*.f64 r r) (*.f64 r r))))))
(*.f64 (fma.f64 (/.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 w w) (*.f64 w w))) (*.f64 (*.f64 r r) (*.f64 r r)) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 w w) (*.f64 w w))))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 r r) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 w w))))

eval156.0ms (1.1%)

Memory
19.7MiB live, 258.2MiB allocated
Compiler

Compiled 36 768 to 1 806 computations (95.1% saved)

prune114.0ms (0.8%)

Memory
-23.1MiB live, 216.6MiB allocated
Pruning

22 alts after pruning (19 fresh and 3 done)

PrunedKeptTotal
New1 29781 305
Fresh61117
Picked325
Done011
Total1 306221 328
Accuracy
100.0%
Counts
1 328 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.4%
(fma.f64 (+.f64 #s(literal 27 binary64) (/.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)) #s(literal 3 binary64)) #s(literal 9 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)) #s(literal -9/2 binary64)))
48.3%
(-.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))
53.9%
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
48.6%
(-.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))
78.4%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (* (* r (* w (* r w))) (/ (* 1/8 (+ (* v -2) 3)) (- 1 v)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(literal 9/2 binary64))
53.8%
(-.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)))
49.8%
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
80.8%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
93.3%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
80.8%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
80.8%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
43.3%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal 9/64 binary64) #s(literal -9/4 binary64)) r (*.f64 (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) r))) (*.f64 (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal 3/2 binary64)) r)))
45.9%
#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))
45.9%
#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)))
58.3%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
58.3%
#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(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
85.7%
#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)))))
21.2%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))))
37.2%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 (*.f64 r r) w))))) w))
39.9%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64))))
34.0%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64))))
33.0%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
Compiler

Compiled 991 to 569 computations (42.6% saved)

simplify1.0s (7%)

Memory
6.6MiB live, 1 042.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(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-diff0
#s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))
cost-diff0
(-.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)))
cost-diff320
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
cost-diff0
(*.f64 r #s(literal -3/8 binary64))
cost-diff0
(*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w))
cost-diff0
(fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
cost-diff0
(/.f64 #s(literal 2 binary64) r)
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
cost-diff384
(/.f64 (/.f64 #s(literal 2 binary64) 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))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff0
(-.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))
cost-diff0
(*.f64 r w)
cost-diff0
(*.f64 (*.f64 r w) w)
cost-diff0
(fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
Rules
46 214×lower-fma.f32
46 206×lower-fma.f64
6 056×lower-*.f32
6 038×lower-*.f64
2 546×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051414
076406
1169398
2413395
31616395
44722395
08056382
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 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(*.f64 (*.f64 r w) w)
(*.f64 r w)
r
w
(*.f64 r #s(literal -3/8 binary64))
#s(literal -3/8 binary64)
(+.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)
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.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(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) r) r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(/.f64 #s(literal 2 binary64) r)
#s(literal 2 binary64)
r
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
r
(*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w))
(*.f64 r #s(literal -3/8 binary64))
#s(literal -3/8 binary64)
(*.f64 w w)
w
(+.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)
(-.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))) #s(literal 3 binary64))
#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 #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)
r
(/.f64 r (-.f64 #s(literal 1 binary64) v))
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.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) (fma.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(*.f64 (*.f64 r w) w)
(*.f64 r (*.f64 w w))
(*.f64 r w)
r
w
(*.f64 r #s(literal -3/8 binary64))
#s(literal -3/8 binary64)
(+.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)
(-.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 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -9/2 binary64))
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.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(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) 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 (/.f64 #s(literal 2 binary64) r) r)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 #s(literal 2 binary64) r)
#s(literal 2 binary64)
r
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.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) (fma.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
r
(*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w))
(*.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w w)))
(*.f64 r #s(literal -3/8 binary64))
#s(literal -3/8 binary64)
(*.f64 w w)
w
(+.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)
(-.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)))
(+.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (/.f64 w (+.f64 v #s(literal -1 binary64))) #s(literal -9/2 binary64)))
#s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))
#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))
(fma.f64 (*.f64 r w) (/.f64 (*.f64 r (*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (-.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)))
(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 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))
(*.f64 w (*.f64 r w))
(*.f64 r (*.f64 w w))
w
(*.f64 r w)
r
(/.f64 r (-.f64 #s(literal 1 binary64) v))
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)

localize214.0ms (1.5%)

Memory
1.5MiB live, 231.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 w (*.f64 r w))
accuracy99.6%
(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))
accuracy92.6%
(*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
accuracy51.4%
#s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))
accuracy99.8%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy98.6%
(fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
accuracy94.7%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
accuracy82.8%
(*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w))
accuracy100.0%
(/.f64 #s(literal 2 binary64) r)
accuracy99.8%
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
accuracy46.0%
#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))
accuracy100.0%
(*.f64 r r)
accuracy100.0%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
accuracy99.8%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy46.2%
#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)))
accuracy99.8%
(*.f64 (*.f64 r w) w)
accuracy99.8%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy98.5%
(fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
accuracy94.7%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
Samples
95.0ms256×0valid
Compiler

Compiled 368 to 47 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 50.0ms (70.2% of total)
ival-div: 8.0ms (11.2% of total)
ival-add: 7.0ms (9.8% of total)
ival-sub: 5.0ms (7% of total)
exact: 1.0ms (1.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory
31.5MiB live, 31.5MiB allocated
Counts
21 → 516
Calls
Call 1
Inputs
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))>
#<alt (fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))>
#<alt (*.f64 (*.f64 r w) w)>
#<alt (*.f64 r w)>
#<alt (-.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))>
#<alt #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)))>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 r r))>
#<alt (*.f64 r r)>
#<alt (/.f64 (/.f64 #s(literal 2 binary64) r) r)>
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))>
#<alt (/.f64 #s(literal 2 binary64) r)>
#<alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))>
#<alt (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))>
#<alt (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w))>
#<alt (*.f64 r #s(literal -3/8 binary64))>
#<alt (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))>
#<alt (-.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)))>
#<alt #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))>
#<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))>
#<alt (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))>
#<alt (*.f64 w (*.f64 r w))>
Outputs
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -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)))))>
#<alt (- (+ (* 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)))))>
#<alt (- (+ (* 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)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -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)))))>
#<alt (- (+ (* -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))))))>
#<alt (- (+ (* -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)))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 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)))))>
#<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)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (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))))))>
#<alt (* (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))))))>
#<alt (* (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))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (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))))))>
#<alt (* (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))))))>
#<alt (* (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))))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (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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#<alt (- (+ (* -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)))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 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)))))>
#<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)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (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))))))>
#<alt (* (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))))))>
#<alt (* (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))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (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))))))>
#<alt (* (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))))))>
#<alt (* (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))))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 (* r (pow w 2)))>
#<alt (* -3/8 r)>
#<alt (* -3/8 r)>
#<alt (* -3/8 r)>
#<alt (* -3/8 r)>
#<alt (* -3/8 r)>
#<alt (* -3/8 r)>
#<alt (* -3/8 r)>
#<alt (* -3/8 r)>
#<alt (* -3/8 r)>
#<alt (* -3/8 r)>
#<alt (* -3/8 r)>
#<alt (* -3/8 r)>
#<alt 3/8>
#<alt (+ 3/8 (* -1/4 v))>
#<alt (+ 3/8 (* -1/4 v))>
#<alt (+ 3/8 (* -1/4 v))>
#<alt (* -1/4 v)>
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
#<alt (* -1/4 v)>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -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)))))>
#<alt (- (+ (* 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)))))>
#<alt (- (+ (* 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)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -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)))))>
#<alt (- (+ (* -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))))))>
#<alt (- (+ (* -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)))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 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)))))>
#<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)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* (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))))))>
#<alt (* (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))))))>
#<alt (* (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))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* (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))))))>
#<alt (* (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))))))>
#<alt (* (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))))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt 3>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt 3>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 9/2 (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (+ 9/2 (+ (* 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)))))>
#<alt (+ 9/2 (+ (* 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)))))))))>
#<alt (+ 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)))))))))))>
#<alt (+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ 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)))))>
#<alt (+ 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))) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (+ 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)))))))>
#<alt (+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ 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)))))>
#<alt (+ 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)))))>
#<alt (+ 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)))))>
#<alt 9/2>
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))>
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))>
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))>
#<alt 9/2>
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))>
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))>
#<alt (+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (/ (* (pow r 2) (pow w 2)) (- 1 v))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (+ (* (pow r 2) (* v (pow w 2))) (* (pow r 2) (pow w 2)))>
#<alt (+ (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2)))>
#<alt (+ (* 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)))>
#<alt (* -1 (/ (* (pow r 2) (pow w 2)) v))>
#<alt (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)>
#<alt (/ (- (+ (* -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)>
#<alt (/ (- (+ (* -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)>
#<alt (* -1 (/ (* (pow r 2) (pow w 2)) v))>
#<alt (* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v))>
#<alt (* -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))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
Calls

129 calls:

TimeVariablePointExpression
0.0ms
r
@-inf
(* r -3/8)
0.0ms
r
@0
(* (* r -3/8) (* w w))
0.0ms
r
@0
(* r -3/8)
0.0ms
r
@-inf
(* r w)
0.0ms
w
@-inf
(* r w)

simplify997.0ms (6.9%)

Memory
-308.4MiB live, 1 011.2MiB allocated
Algorithm
egg-herbie
Rules
22 136×lower-fma.f64
22 136×lower-fma.f32
5 164×lower-+.f64
5 164×lower-+.f32
5 150×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03149606
110309133
234768561
084508067
Stop Event
iter limit
node limit
Counts
516 → 516
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 (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)))))
(* 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))
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(* -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)))))
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(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
3
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
3
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 9/2 (* 3/8 (* (pow r 2) (pow w 2))))
(+ 9/2 (+ (* 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)))))
(+ 9/2 (+ (* 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)))))))))
(+ 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)))))))))))
(+ 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 (+ (* 1/8 (/ (- (* -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))))))
(+ 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)))))
(/ (* (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))
(/ (* (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))
(* (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))
(* 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))
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 (*.f64 r 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 w)) (/.f64 (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 w)) (/.f64 (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 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (/.f64 (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 w)) (/.f64 (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 w)) (/.f64 (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 w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (/.f64 (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 w)) (/.f64 (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 w)) (/.f64 (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 w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(- (+ (* -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)))))
(+.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 3/8 binary64)) #s(literal -3/2 binary64)))
(- (+ (* 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)))))
(fma.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #s(literal -1/8 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(- (+ (* 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)))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 v (fma.f64 #s(literal -1/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #s(literal -1/8 binary64))))) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 (/.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)))
(- (+ (* -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))))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 r r) v) (*.f64 w (+.f64 w (/.f64 w v)))) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
(- (+ (* -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)))))))
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1/8 binary64) (*.f64 v (*.f64 v v))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 r r) v) (*.f64 w (+.f64 w (/.f64 w v)))) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 (/.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)))
(- (+ (* -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)))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 r r) v) (*.f64 w (+.f64 w (/.f64 w v)))) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r r) (-.f64 (neg.f64 (*.f64 w w)) (*.f64 (/.f64 w v) (+.f64 w (/.f64 w v)))))) v))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 (fma.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))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 (fma.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))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 (fma.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))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
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9/2
#s(literal 9/2 binary64)
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9/2
#s(literal 9/2 binary64)
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(* 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))))
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(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))
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(* 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))))
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))
(fma.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))) #s(literal 9/2 binary64))
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))
(fma.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))) #s(literal 9/2 binary64))
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))
(fma.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))) #s(literal 9/2 binary64))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(+ (* (pow r 2) (* v (pow w 2))) (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 w (fma.f64 v w w)))
(+ (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2)))
(fma.f64 r (*.f64 r (*.f64 w w)) (*.f64 v (*.f64 (*.f64 r r) (*.f64 w (fma.f64 v w w)))))
(+ (* 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)))
(fma.f64 v (fma.f64 r (*.f64 r (*.f64 w w)) (*.f64 v (*.f64 (*.f64 r r) (*.f64 w (fma.f64 v w w))))) (*.f64 r (*.f64 r (*.f64 w w))))
(* -1 (/ (* (pow r 2) (pow w 2)) v))
(*.f64 (neg.f64 (*.f64 r r)) (/.f64 (*.f64 w w) v))
(/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)
(neg.f64 (*.f64 (/.f64 (*.f64 r r) v) (*.f64 w (+.f64 w (/.f64 w 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)
(/.f64 (*.f64 (*.f64 r r) (-.f64 (neg.f64 (*.f64 w w)) (*.f64 (/.f64 w v) (+.f64 w (/.f64 w 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)
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(* -1 (/ (* (pow r 2) (pow w 2)) v))
(*.f64 (neg.f64 (*.f64 r r)) (/.f64 (*.f64 w w) v))
(* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v))
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(/.f64 (*.f64 (*.f64 r r) (-.f64 (neg.f64 (*.f64 w w)) (*.f64 (/.f64 w v) (+.f64 w (/.f64 w v))))) 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))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 r r) (-.f64 (neg.f64 (*.f64 w w)) (*.f64 (/.f64 w v) (+.f64 w (/.f64 w v))))) v) (*.f64 r (*.f64 r (*.f64 w w)))) v)
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))

rewrite402.0ms (2.8%)

Memory
47.0MiB live, 550.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 574×lower-fma.f32
4 566×lower-fma.f64
4 434×lower-/.f32
4 426×lower-/.f64
3 978×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051340
076332
1342304
22944304
08273281
Stop Event
iter limit
node limit
iter limit
Counts
21 → 466
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 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(*.f64 (*.f64 r w) w)
(*.f64 r w)
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(*.f64 r r)
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
(/.f64 #s(literal 2 binary64) r)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w))
(*.f64 r #s(literal -3/8 binary64))
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 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))) #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 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(*.f64 w (*.f64 r w))
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 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) #s(literal -3/2 binary64))))
(+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))))
(+.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (fma.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (fma.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r (*.f64 w (*.f64 r w))))) (-.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (/.f64 (*.f64 (+.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 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
(-.f64 (/.f64 (*.f64 (+.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 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))))) (/.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r (*.f64 w (*.f64 r w))))) (-.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))))))
(-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) #s(literal -3/2 binary64)) (fma.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) #s(literal -3/2 binary64))) (-.f64 (fma.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (-.f64 (fma.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) #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 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(fma.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 w (*.f64 r (*.f64 w (*.f64 r #s(literal -3/8 binary64)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 w (*.f64 (*.f64 r w) (*.f64 r #s(literal -3/8 binary64))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -3/8 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 #s(literal -3/8 binary64) (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w (*.f64 r w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (fma.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) r (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r r))) (fma.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) r)) r) (fma.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w (*.f64 r w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 #s(literal 1 binary64) (neg.f64 r)) (fma.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(fma.f64 (+.f64 #s(literal -27/8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 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)) #s(literal -3/2 binary64)) #s(literal 9/4 binary64))) (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 2 binary64) r) (fma.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (/.f64 #s(literal 1 binary64) r) #s(literal 1/2 binary64)) (fma.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal 2 binary64) (fma.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(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 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))))
(fma.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) (*.f64 w w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 w (*.f64 r #s(literal -3/8 binary64))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 r w)) w (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) w) w (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 r (*.f64 w (*.f64 r #s(literal -3/8 binary64)))) w (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (pow.f64 (/.f64 r #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 r)) (fma.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r (*.f64 w (*.f64 r w)))) (*.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))))))) (fma.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (+.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 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r w)) (*.f64 #s(literal -27/512 binary64) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r w)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (-.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r (*.f64 w (*.f64 r w))))) (*.f64 (+.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 (fma.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (+.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 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r w)) (*.f64 #s(literal -27/512 binary64) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r w))))) (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r (*.f64 w (*.f64 r w)))) (*.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))))))))
(/.f64 (fma.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (+.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 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r w)) (*.f64 #s(literal -27/512 binary64) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r w))))) (fma.f64 (+.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 (*.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r (*.f64 w (*.f64 r w))))) (*.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))))))))
(/.f64 (-.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r (*.f64 w (*.f64 r w))))) (*.f64 (+.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 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r (*.f64 w (*.f64 r w)))) (*.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64))))))) (fma.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (+.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 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r w)) (*.f64 #s(literal -27/512 binary64) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r w))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (-.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r (*.f64 w (*.f64 r w))))) (*.f64 (+.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 (neg.f64 (fma.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (+.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 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r w)) (*.f64 #s(literal -27/512 binary64) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r w)))))) (neg.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 r (*.f64 w (*.f64 r w)))) (*.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r w) (*.f64 w (*.f64 r #s(literal -3/8 binary64)))))))))
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eval197.0ms (1.4%)

Memory
3.0MiB live, 275.8MiB allocated
Compiler

Compiled 30 156 to 1 539 computations (94.9% saved)

prune202.0ms (1.4%)

Memory
-29.2MiB live, 286.9MiB allocated
Pruning

26 alts after pruning (19 fresh and 7 done)

PrunedKeptTotal
New1 14571 152
Fresh21214
Picked145
Done033
Total1 148261 174
Accuracy
100.0%
Counts
1 174 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.4%
(fma.f64 (+.f64 #s(literal 27 binary64) (/.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)) #s(literal 3 binary64)) #s(literal 9 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)) #s(literal -9/2 binary64)))
48.6%
(-.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))
78.4%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (* (* r (* w (* r w))) (/ (* 1/8 (+ (* v -2) 3)) (- 1 v)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(literal 9/2 binary64))
53.9%
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
40.4%
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
41.8%
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 binary64)) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
49.8%
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
38.4%
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) #s(literal 9/2 binary64))))
39.0%
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64))))
13.2%
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #s(literal 9/2 binary64)))
80.8%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
93.3%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
80.8%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
93.3%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 w (*.f64 r #s(literal -3/8 binary64))) w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
80.8%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
43.3%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal 9/64 binary64) #s(literal -9/4 binary64)) r (*.f64 (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) r))) (*.f64 (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal 3/2 binary64)) r)))
45.9%
#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))
45.9%
#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)))
58.3%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
58.3%
#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(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
85.7%
#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)))))
21.2%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))))
37.2%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 (*.f64 r r) w))))) w))
39.9%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -3/8 binary64))) #s(literal -3/2 binary64))))
34.0%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64))))
33.0%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
Compiler

Compiled 1 819 to 550 computations (69.8% saved)

regimes104.0ms (0.7%)

Memory
-1.1MiB live, 208.1MiB allocated
Counts
55 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #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)))
#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(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 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))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r (*.f64 r (*.f64 w 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))) (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #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) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.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 (*.f64 w #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 (*.f64 r r) w))))) w))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 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)))))
#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 (*.f64 r r) #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) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.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) (fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) (+.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) (fma.f64 r (*.f64 (*.f64 w (*.f64 r #s(literal -3/8 binary64))) w) (+.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) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64)) (+.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) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.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) (fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.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) (fma.f64 (*.f64 (*.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) r (+.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 #s(approx (* 1/8 (+ (* v -2) 3)) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (* (* r (* w (* r w))) (/ (* 1/8 (+ (* v -2) 3)) (- 1 v)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(literal 9/2 binary64))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 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)))
(-.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 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (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))))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (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))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.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 (*.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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.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))))))
(fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 (*.f64 (*.f64 r w) (*.f64 w (/.f64 r (-.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 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (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 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (/.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))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal 9/64 binary64) #s(literal -9/4 binary64)) r (*.f64 (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) r))) (*.f64 (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal 3/2 binary64)) r)))
(-.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))
(fma.f64 (+.f64 #s(literal 27 binary64) (/.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)) #s(literal 3 binary64)) #s(literal 9 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)) #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))
(fma.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 (*.f64 (*.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 #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 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (*.f64 (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)))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(literal -9/2 binary64))
Outputs
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
Calls

6 calls:

22.0ms
r
18.0ms
v
16.0ms
w
15.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
15.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Results
AccuracySegmentsBranch
98.0%1v
98.0%1w
98.0%1r
98.0%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))
98.0%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)))
98.0%1(*.f64 w w)
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes78.0ms (0.5%)

Memory
22.3MiB live, 174.4MiB allocated
Counts
41 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #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)))
#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(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 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))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r (*.f64 r (*.f64 w 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))) (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #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) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.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 (*.f64 w #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 (*.f64 r r) w))))) w))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 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)))))
#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 (*.f64 r r) #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) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.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) (fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) (+.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) (fma.f64 r (*.f64 (*.f64 w (*.f64 r #s(literal -3/8 binary64))) w) (+.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) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64)) (+.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) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.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) (fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.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) (fma.f64 (*.f64 (*.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) r (+.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 #s(approx (* 1/8 (+ (* v -2) 3)) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (* (* r (* w (* r w))) (/ (* 1/8 (+ (* v -2) 3)) (- 1 v)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(literal 9/2 binary64))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 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)))
(-.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 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (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))))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (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))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))))
Outputs
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
Calls

6 calls:

14.0ms
v
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))
13.0ms
r
12.0ms
w
12.0ms
(-.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
97.9%1v
99.5%2w
99.5%2r
97.9%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))
97.9%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)))
99.5%2(*.f64 w w)
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes72.0ms (0.5%)

Memory
13.9MiB live, 164.8MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #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)))
#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(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 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))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r (*.f64 r (*.f64 w 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))) (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #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) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.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 (*.f64 w #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 (*.f64 r r) w))))) w))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 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)))))
#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 (*.f64 r r) #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) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.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) (fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) (+.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) (fma.f64 r (*.f64 (*.f64 w (*.f64 r #s(literal -3/8 binary64))) w) (+.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) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64)) (+.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) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.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) (fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.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) (fma.f64 (*.f64 (*.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) r (+.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 #s(approx (* 1/8 (+ (* v -2) 3)) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (* (* r (* w (* r w))) (/ (* 1/8 (+ (* v -2) 3)) (- 1 v)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(literal 9/2 binary64))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64)))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 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)))
(-.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 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (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))))
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)))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
Calls

6 calls:

16.0ms
w
12.0ms
v
12.0ms
r
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
(*.f64 w w)
Results
AccuracySegmentsBranch
96.5%2v
98.5%3(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
98.5%3(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
94.5%1w
94.5%1(*.f64 w w)
98.9%2r
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes42.0ms (0.3%)

Memory
16.5MiB live, 92.2MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #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)))
#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(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 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))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r (*.f64 r (*.f64 w 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))) (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #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) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.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 (*.f64 w #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 (*.f64 r r) w))))) w))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 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)))))
#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 (*.f64 r r) #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) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.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) (fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) (+.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) (fma.f64 r (*.f64 (*.f64 w (*.f64 r #s(literal -3/8 binary64))) w) (+.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) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64)) (+.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) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r #s(literal -3/8 binary64)) (+.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) (fma.f64 (*.f64 (*.f64 r w) w) (*.f64 r #s(literal -3/8 binary64)) (+.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) (fma.f64 (*.f64 (*.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) r (+.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 #s(approx (* 1/8 (+ (* v -2) 3)) (*.f64 v #s(literal -1/4 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (* (* r (* w (* r w))) (/ (* 1/8 (+ (* v -2) 3)) (- 1 v)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(literal 9/2 binary64))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 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) (+.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) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
Calls

4 calls:

14.0ms
(-.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))
11.0ms
r
9.0ms
v
7.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Results
AccuracySegmentsBranch
96.5%2v
94.5%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))
94.5%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)))
94.5%1r
Compiler

Compiled 70 to 48 computations (31.4% saved)

regimes45.0ms (0.3%)

Memory
-0.8MiB live, 108.2MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #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)))
#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(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 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))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r (*.f64 r (*.f64 w 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))) (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #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) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.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 (*.f64 w #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 (*.f64 r r) w))))) w))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 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)))))
#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 (*.f64 r r) #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) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.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) (fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) (+.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) (fma.f64 r (*.f64 (*.f64 w (*.f64 r #s(literal -3/8 binary64))) w) (+.f64 #s(literal -3/2 binary64) (/.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 -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) (fma.f64 r (*.f64 (*.f64 w (*.f64 r #s(literal -3/8 binary64))) w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
Calls

6 calls:

8.0ms
r
7.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
7.0ms
v
7.0ms
w
6.0ms
(*.f64 w w)
Results
AccuracySegmentsBranch
95.5%2w
95.5%2r
95.2%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))
95.2%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)))
95.2%2(*.f64 w w)
95.8%2v
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes60.0ms (0.4%)

Memory
1.4MiB live, 117.8MiB allocated
Counts
20 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #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)))
#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(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 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))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r (*.f64 r (*.f64 w 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))) (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #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) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.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 (*.f64 w #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 (*.f64 r r) w))))) w))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 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)))))
#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 (*.f64 r r) #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) (fma.f64 r (*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) (+.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) (fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.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 -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(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 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) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
Calls

6 calls:

24.0ms
v
10.0ms
w
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))
6.0ms
r
6.0ms
(*.f64 w w)
Results
AccuracySegmentsBranch
92.9%2(*.f64 w w)
95.6%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))
95.6%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)))
92.9%2w
92.9%2r
89.9%3v
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes41.0ms (0.3%)

Memory
-12.4MiB live, 96.8MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #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)))
#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(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 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))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r (*.f64 r (*.f64 w 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))) (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #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) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.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 (*.f64 w #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 (*.f64 r r) w))))) w))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 binary64)) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
Outputs
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 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) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
Calls

5 calls:

14.0ms
w
6.0ms
(-.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))
5.0ms
r
5.0ms
(*.f64 w w)
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)))
Results
AccuracySegmentsBranch
67.5%2(*.f64 w w)
71.6%4w
87.4%3r
92.1%3(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
92.1%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 76 to 52 computations (31.6% saved)

regimes13.0ms (0.1%)

Memory
3.0MiB live, 39.1MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #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)))
#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(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 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))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r (*.f64 r (*.f64 w 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))) (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #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) (*.f64 (*.f64 w w) #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.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 (*.f64 w #s(approx (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))) (/.f64 #s(literal 2 binary64) (*.f64 w (*.f64 (*.f64 r r) w))))) w))
Outputs
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) #s(literal 9/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
Calls

2 calls:

4.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
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
90.1%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))
90.1%3(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Compiler

Compiled 62 to 42 computations (32.3% saved)

regimes13.0ms (0.1%)

Memory
1.3MiB live, 39.9MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #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)))
#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(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 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))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #s(literal 9/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #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) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
Calls

3 calls:

4.0ms
v
4.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
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
58.3%1v
87.4%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))
87.4%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)))
Compiler

Compiled 66 to 45 computations (31.8% saved)

regimes6.0ms (0%)

Memory
20.1MiB live, 20.2MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #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)))
#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(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #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 (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #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) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
Calls

2 calls:

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)))
2.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Results
AccuracySegmentsBranch
86.8%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))
86.8%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)

regimes23.0ms (0.2%)

Memory
5.7MiB live, 45.9MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #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)))
#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(approx (+ (* (* w w) (* (* r r) -3/8)) -3/2) #s(literal -3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
Calls

5 calls:

13.0ms
r
3.0ms
w
2.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
2.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
2.0ms
(*.f64 w w)
Results
AccuracySegmentsBranch
58.3%1(*.f64 w w)
58.3%1w
58.3%1r
58.3%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))
58.3%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 76 to 52 computations (31.6% saved)

regimes11.0ms (0.1%)

Memory
-2.1MiB live, 37.1MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #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)))
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)))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #s(literal 9/2 binary64)))
Calls

6 calls:

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)))
2.0ms
r
2.0ms
w
2.0ms
v
2.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Results
AccuracySegmentsBranch
45.9%1v
57.7%2r
57.2%3(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
57.2%3(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
48.0%2w
45.9%1(*.f64 w w)
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes9.0ms (0.1%)

Memory
-9.1MiB live, 30.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

2.0ms
w
1.0ms
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
v
1.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Results
AccuracySegmentsBranch
13.2%1(*.f64 w w)
13.2%1v
13.2%1w
13.2%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))
13.2%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)))
13.2%1r
Compiler

Compiled 80 to 55 computations (31.3% saved)

bsearch6.0ms (0%)

Memory
17.4MiB live, 17.4MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
5.0ms
57832900.29949549
213647114.2483588
Samples
3.0ms32×0valid
Compiler

Compiled 141 to 104 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (40.9% of total)
ival-mult: 1.0ms (40.9% 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)

bsearch12.0ms (0.1%)

Memory
-5.2MiB live, 34.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
57832900.29949549
213647114.2483588
Samples
7.0ms64×0valid
Compiler

Compiled 260 to 178 computations (31.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (61.1% of total)
ival-div: 1.0ms (20.4% of total)
ival-sub: 1.0ms (20.4% 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)

bsearch24.0ms (0.2%)

Memory
-14.6MiB live, 64.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
-4.65808761640854e+79
-2.0484444622291348e+76
Samples
16.0ms128×0valid
Compiler

Compiled 371 to 236 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (54.9% of total)
ival-sub: 2.0ms (18.3% of total)
ival-div: 1.0ms (9.1% of total)
ival-add: 1.0ms (9.1% 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
4.4MiB live, 4.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-4.65808761640854e+79
-2.0484444622291348e+76
Compiler

Compiled 371 to 244 computations (34.2% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.0
3.0000000000000004
0.0ms
-inf
-6.400802614063399e+292
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
3.0
3.0000000000000004
0.0ms
-inf
-6.400802614063399e+292
Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.1067277069518732e+25
-1.1212063893379432e+20
0.0ms
-inf
-6.400802614063399e+292
Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.1212063893379432e+20
3.0
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
-1.1212063893379432e+20
3.0
Compiler

Compiled 35 to 28 computations (20% saved)

bsearch20.0ms (0.1%)

Memory
17.8MiB live, 55.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
0.11419441107840535
12.812490493625134
Samples
11.0ms112×0valid
Compiler

Compiled 168 to 126 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (47.8% of total)
ival-sub: 2.0ms (23.9% 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)

simplify56.0ms (0.4%)

Memory
-46.3MiB live, 70.8MiB allocated
Algorithm
egg-herbie
Rules
402×unsub-neg_binary64
268×neg-mul-1_binary64
128×*-commutative_binary64
128×distribute-lft-neg-in_binary64
114×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01421273
12011273
22581273
33131273
43811273
54431273
66131273
79161273
810821273
910991273
1011001273
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
(if (<=.f64 r #s(literal 200000000 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(if (<=.f64 r #s(literal 58000000 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))))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(if (<=.f64 v #s(literal -23000000000000000118220266850431635225409827833395689244519235660590272741376 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) (fma.f64 (*.f64 r w) (*.f64 (*.f64 r w) #s(literal -3/8 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
(if (<=.f64 v #s(literal -23000000000000000118220266850431635225409827833395689244519235660590272741376 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) (fma.f64 r (*.f64 (*.f64 w (*.f64 r #s(literal -3/8 binary64))) w) (+.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 -inf.0 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 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 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) (/.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 -inf.0 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #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 3 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 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) (/.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 -inf.0 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #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 -10000000000000000905969664 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) #s(literal 9/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #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 -100000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #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) (/.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 -100000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #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) (/.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 2589569785738035/2251799813685248 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(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #s(literal 9/2 binary64))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #s(literal 9/2 binary64)))
Outputs
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.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 r (*.f64 w (*.f64 r w))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (+.f64 v #s(literal -1 binary64))))) #s(literal 9/2 binary64))
(if (<=.f64 r #s(literal 200000000 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 w (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(if (<=.f64 r #s(literal 200000000 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 w (*.f64 (/.f64 (*.f64 r (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) #s(literal 9/2 binary64))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
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(if (<=.f64 r #s(literal 58000000 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))))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
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(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) (+.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 (+.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 3 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 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 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))))
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(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)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #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 r (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal 3 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* 1/8 (+ (* v -2) 3)) #s(literal 3/8 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 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #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 -10000000000000000905969664 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) #s(literal 9/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #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 -inf.0 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)) #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 r (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -10000000000000000905969664 binary64)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 3/8 binary64)) #s(literal 9/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))))
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(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 -100000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 #s(literal -3/8 binary64) (*.f64 w (*.f64 (*.f64 r r) w))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
(if (<=.f64 (-.f64 (+.f64 #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 -100000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #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) (/.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 -100000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* w w) (* (* r r) -3/8)) -3/2)) (*.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.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 2589569785738035/2251799813685248 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(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #s(literal 9/2 binary64))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2) #s(literal 9/2 binary64)))

soundness1.9s (13%)

Memory
43.2MiB live, 1 570.9MiB allocated
Rules
22 136×lower-fma.f64
22 136×lower-fma.f32
21 098×lower-fma.f64
21 098×lower-fma.f32
17 302×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056314076
1183613235
2630512934
0850712081
022114
036114
1149104
21353104
0896594
053313558
1172712571
2575412323
0830211486
060438
095431
1449393
23973393
08121369
051340
076332
1342304
22944304
08273281
03149606
110309133
234768561
084508067
02274018
17453856
225743578
082093390
Stop Event
fuel
iter limit
node 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
iter limit
node limit
Compiler

Compiled 1 510 to 718 computations (52.5% saved)

preprocess92.0ms (0.6%)

Memory
3.8MiB live, 203.0MiB allocated
Remove

(abs w)

Compiler

Compiled 2 250 to 750 computations (66.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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