Rosa's TurbineBenchmark

Time bar (total: 13.8s)

analyze119.0ms (0.9%)

Memory
-33.4MiB live, 300.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
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)

sample1.8s (12.8%)

Memory
32.2MiB live, 2 546.2MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 443.0ms (43.2% of total)
ival-sub: 288.0ms (28.1% of total)
ival-add: 135.0ms (13.2% of total)
ival-div: 132.0ms (12.9% of total)
exact: 18.0ms (1.8% of total)
ival-true: 6.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess882.0ms (6.4%)

Memory
-149.8MiB live, 645.3MiB allocated
Algorithm
1×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
1×iter limit
1×node limit
1×iter limit
1×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)

explain515.0ms (3.7%)

Memory
39.9MiB live, 472.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
381(-1.0841592578268646e-122 9.03678340283457e-204 3.502340498342757e+83)1(-49780296777455.1 1.8961485179856903e-156 5.856716923109449e+47)(*.f64 (*.f64 w w) r)
160-5(-2.364873955722588e-95 1.1652255613541274e-164 117347647950212910.0)(*.f64 (*.f64 (*.f64 w w) r) r)
100-2(5.285056912482019e+307 3.955478955596251e-128 2.6794757670621077e-34)(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r))
70-0-(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
21(-4.822970436836529e-140 1.2288120502012071e-167 5.612047591233341e+161)0-(/.f64 #s(literal 2 binary64) (*.f64 r r))
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-#s(literal 9/2 binary64)
00-0-#s(literal 1/8 binary64)
00-0-v
00-0-(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))
00-0-(*.f64 w w)
00-0-(*.f64 r r)
00-0-(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))
00-0-(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
00-0-(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
00-0-(-.f64 #s(literal 1 binary64) v)
00-0-(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
00-0-(*.f64 #s(literal 2 binary64) v)
00-0-#s(literal 2 binary64)
00-0-w
00-0-r
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (*.f64 w w) r)n*o140
*.f64(*.f64 (*.f64 w w) r)n*u120
/.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/n70
↳(*.f64 (*.f64 w w) r)overflow58
↳(*.f64 w w)overflow54
↳(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r))overflow83
↳(*.f64 (*.f64 (*.f64 w w) r) r)overflow76
*.f64(*.f64 (*.f64 (*.f64 w w) r) r)n*o50
Confusion
Predicted +Predicted -
+320
-2222
Precision
0.9411764705882353
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3200
-20222
Precision?
0.9411764705882353
Recall?
1.0
Freqs
test
numberfreq
0222
130
24
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
74.0ms512×0valid
Compiler

Compiled 360 to 92 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-sub: 21.0ms (41.8% of total)
ival-mult: 19.0ms (37.8% of total)
ival-div: 6.0ms (11.9% of total)
ival-add: 2.0ms (4% of total)
ival-true: 1.0ms (2% of total)
exact: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)

eval15.0ms (0.1%)

Memory
-37.1MiB live, 0.7MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶87.9%
(-.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)

simplify498.0ms (3.6%)

Memory
23.4MiB live, 627.6MiB allocated
Algorithm
1×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
1×iter limit
1×node limit
1×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)

localize75.0ms (0.5%)

Memory
3.6MiB live, 81.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy97.3%
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
✓accuracy97.0%
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r))
✓accuracy94.9%
(*.f64 (*.f64 (*.f64 w w) r) r)
✓accuracy87.0%
(*.f64 (*.f64 w w) r)
Samples
51.0ms256×0valid
Compiler

Compiled 148 to 24 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 30.0ms (76.9% of total)
ival-sub: 4.0ms (10.3% of total)
ival-div: 3.0ms (7.7% of total)
ival-add: 1.0ms (2.6% of total)
exact: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series75.0ms (0.5%)

Memory
-8.5MiB live, 44.7MiB 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 (*.f64 w w) r) 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 #s(literal 1/8 binary64) (-.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 (* (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 (+ (* -1/4 (* (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 (* 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
52.0ms
w
@inf
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
2.0ms
r
@0
(* (* w w) r)
1.0ms
w
@0
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
1.0ms
v
@0
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
1.0ms
r
@0
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)

rewrite600.0ms (4.4%)

Memory
-11.0MiB live, 816.7MiB allocated
Algorithm
1×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
1×iter limit
1×node limit
1×iter limit
Counts
8 → 399
Calls
Call 1
Inputs
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))
(*.f64 (*.f64 w w) r)
(*.f64 (*.f64 (*.f64 w w) r) r)
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r))
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
Outputs
(+.f64 #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)))
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(*.f64 (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)))))
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(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)))))
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(*.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)))

simplify384.0ms (2.8%)

Memory
28.2MiB live, 895.3MiB allocated
Algorithm
1×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
1×iter limit
1×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))))
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(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
3
(+ 3 (* -2 v))
(+ 3 (* -2 v))
(+ 3 (* -2 v))
(* -2 v)
(* v (- (* 3 (/ 1 v)) 2))
(* v (- (* 3 (/ 1 v)) 2))
(* v (- (* 3 (/ 1 v)) 2))
(* -2 v)
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* 3/8 (* (pow r 2) (pow w 2)))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 3/8 (* (pow r 2) (pow w 2)))
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
Outputs
3/8
#s(literal 3/8 binary64)
(+ 3/8 (* -1/4 v))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(+ 3/8 (* -1/4 v))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(+ 3/8 (* -1/4 v))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(* -1/4 v)
(*.f64 #s(literal -1/4 binary64) v)
(* v (- (* 3/8 (/ 1 v)) 1/4))
(*.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))))))
(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 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))))))
(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)))))
(+.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)))
(- (+ (* -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 v #s(literal -1/8 binary64)) #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)))))
(+.f64 (fma.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/8 binary64) #s(literal -1/8 binary64))) (/.f64 #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)))
(- (+ (* 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)))))
(fma.f64 v (*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/8 binary64) #s(literal -1/8 binary64)))) (+.f64 (/.f64 #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))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 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))))
(- (+ (* -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 (*.f64 r (*.f64 r (/.f64 (*.f64 w w) v))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 (*.f64 w w) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (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)))))))
(+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r)) (*.f64 v (*.f64 v v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 r (*.f64 r (/.f64 (*.f64 w w) v))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 (*.f64 w w) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 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))))
(- (+ (* 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 (*.f64 r (*.f64 r (/.f64 (*.f64 w w) v))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 (*.f64 w w) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 (+.f64 #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 (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))
(- (* 2 (/ 1 (pow r 2))) 3/2)
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(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))

eval80.0ms (0.6%)

Memory
19.7MiB live, 173.6MiB allocated
Compiler

Compiled 29 406 to 2 008 computations (93.2% saved)

prune91.0ms (0.7%)

Memory
-55.0MiB live, 164.1MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New59817615
Fresh000
Picked101
Done000
Total59917616
Accuracy
100.0%
Counts
616 → 17
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))))
▶42.8%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
▶97.9%
(-.f64 (fma.f64 (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/8 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))
▶96.1%
(-.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))
52.0%
(-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64))
45.7%
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
87.9%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
95.6%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.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))
80.8%
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) #s(literal 3 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)))
77.9%
(+.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)))
74.1%
(+.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)))
▶76.8%
(+.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)))
▶88.1%
(+.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))))
57.2%
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
57.5%
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
38.7%
(*.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))))
Compiler

Compiled 776 to 538 computations (30.7% saved)

simplify246.0ms (1.8%)

Memory
11.5MiB live, 322.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))
✓cost-diff0
(/.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))
✓cost-diff0
(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))))
✓cost-diff192
(-.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))
✓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 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))
✓cost-diff128
(-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64))
✓cost-diff0
(*.f64 #s(literal -1/4 binary64) (*.f64 r r))
✓cost-diff0
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w)
✓cost-diff0
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))
✓cost-diff0
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))
✓cost-diff0
(*.f64 r r)
✓cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓cost-diff0
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
✓cost-diff0
(/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1 binary64))
✓cost-diff192
(-.f64 (fma.f64 (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/8 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))
✓cost-diff704
(fma.f64 (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/8 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))))
Rules
7 026×lower-fma.f32
7 016×lower-fma.f64
6 578×lower-*.f32
6 556×lower-*.f64
3 330×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042394
075398
1149396
2362388
31303388
43016388
08017383
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (fma.f64 (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/8 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))
(fma.f64 (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
v
#s(literal -2 binary64)
#s(literal 3 binary64)
#s(literal -1 binary64)
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))
(*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w (*.f64 r w))))
#s(literal 1/8 binary64)
(*.f64 r (*.f64 w (*.f64 r w)))
r
(*.f64 w (*.f64 r w))
w
(*.f64 r w)
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
#s(literal 9/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(literal -3/2 binary64)
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w)
(*.f64 #s(literal -1/4 binary64) (*.f64 r r))
#s(literal -1/4 binary64)
(*.f64 r r)
r
w
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(+.f64 (/.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(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))
(*.f64 r (*.f64 r (*.f64 w w)))
(*.f64 r (*.f64 w w))
(*.f64 w w)
w
(-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64))
(*.f64 v #s(literal -1/8 binary64))
v
#s(literal -1/8 binary64)
#s(literal 3/8 binary64)
#s(literal -3/2 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))
(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 -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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
v
#s(literal -2 binary64)
#s(literal 3 binary64)
(*.f64 r (*.f64 w (*.f64 r w)))
r
(*.f64 w (*.f64 r w))
w
(*.f64 r w)
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
#s(literal 9/2 binary64)
Outputs
(-.f64 (fma.f64 (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 r (*.f64 #s(literal 1/8 binary64) (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))))) #s(literal -3/2 binary64)))
(fma.f64 (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 r (*.f64 #s(literal 1/8 binary64) (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))))) #s(literal 3 binary64)))
(/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
v
#s(literal -2 binary64)
#s(literal 3 binary64)
#s(literal -1 binary64)
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))
(*.f64 r (*.f64 r (*.f64 #s(literal 1/8 binary64) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v))))))
(*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w (*.f64 r w))))
#s(literal 1/8 binary64)
(*.f64 r (*.f64 w (*.f64 r w)))
r
(*.f64 w (*.f64 r w))
w
(*.f64 r w)
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
#s(literal 9/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 r (*.f64 (*.f64 w (*.f64 r w)) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))
#s(literal -3/2 binary64)
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(fma.f64 r (*.f64 (*.f64 w (*.f64 r w)) #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w)
(*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w)))
(*.f64 #s(literal -1/4 binary64) (*.f64 r r))
(*.f64 r (*.f64 r #s(literal -1/4 binary64)))
#s(literal -1/4 binary64)
(*.f64 r r)
r
w
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(+.f64 (/.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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 r (*.f64 w (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))) #s(literal -3/2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))
(fma.f64 r (*.f64 w (*.f64 w (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))) #s(literal -3/2 binary64))
(*.f64 r (*.f64 r (*.f64 w w)))
(*.f64 r (*.f64 w (*.f64 r w)))
(*.f64 r (*.f64 w w))
(*.f64 w (*.f64 r w))
(*.f64 w w)
w
(-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64))
(fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))
(*.f64 v #s(literal -1/8 binary64))
v
#s(literal -1/8 binary64)
#s(literal 3/8 binary64)
#s(literal -3/2 binary64)
(-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 r (*.f64 #s(literal 1/8 binary64) (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))))) #s(literal -3/2 binary64)))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 r (*.f64 #s(literal 1/8 binary64) (*.f64 w (/.f64 w (+.f64 v #s(literal -1 binary64))))))) #s(literal 3 binary64)))
#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 (*.f64 r (*.f64 w (*.f64 w (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)))) (-.f64 #s(literal 1 binary64) v))
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))
(*.f64 r (*.f64 w (*.f64 w (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r))))
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
v
#s(literal -2 binary64)
#s(literal 3 binary64)
(*.f64 r (*.f64 w (*.f64 r w)))
r
(*.f64 w (*.f64 r w))
w
(*.f64 r w)
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
#s(literal 9/2 binary64)

localize228.0ms (1.7%)

Memory
30.5MiB live, 234.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓accuracy97.3%
(/.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))
✓accuracy97.0%
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))
✓accuracy94.9%
(*.f64 r (*.f64 w (*.f64 r w)))
✓accuracy99.9%
(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))
✓accuracy99.6%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓accuracy94.9%
(*.f64 r (*.f64 r (*.f64 w w)))
✓accuracy87.0%
(*.f64 r (*.f64 w w))
✓accuracy100.0%
(*.f64 #s(literal -1/4 binary64) (*.f64 r r))
✓accuracy99.6%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓accuracy97.0%
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))
✓accuracy88.4%
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w)
✓accuracy100.0%
(*.f64 r r)
✓accuracy99.6%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓accuracy99.8%
(*.f64 w (*.f64 r w))
✓accuracy99.6%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓accuracy94.9%
(*.f64 r (*.f64 w (*.f64 r w)))
✓accuracy94.8%
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))
Samples
84.0ms256×0valid
Compiler

Compiled 413 to 49 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-add: 23.0ms (39.7% of total)
ival-mult: 23.0ms (39.7% of total)
ival-div: 6.0ms (10.4% of total)
ival-sub: 4.0ms (6.9% of total)
exact: 1.0ms (1.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series42.0ms (0.3%)

Memory
-31.3MiB live, 44.2MiB allocated
Counts
22 → 564
Calls
Call 1
Inputs
#<alt (fma.f64 (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/8 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))))>
#<alt (-.f64 (fma.f64 (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/8 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))>
#<alt (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1 binary64))>
#<alt (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 r r))>
#<alt (*.f64 r r)>
#<alt (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))>
#<alt (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))>
#<alt (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w)>
#<alt (*.f64 #s(literal -1/4 binary64) (*.f64 r r))>
#<alt (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64))>
#<alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))>
#<alt (-.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))>
#<alt (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))))>
#<alt (/.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))>
#<alt (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))>
#<alt (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))>
#<alt (*.f64 r (*.f64 w (*.f64 r w)))>
#<alt (*.f64 w (*.f64 r w))>
#<alt (*.f64 r (*.f64 w w))>
#<alt (*.f64 r (*.f64 r (*.f64 w w)))>
#<alt (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))>
Outputs
#<alt (+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))))>
#<alt (+ 3 (+ (* -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))))))>
#<alt (+ 3 (+ (* -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))))))))))>
#<alt (+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 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 (+ 3 (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))))>
#<alt (+ 3 (+ (* -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))))))>
#<alt (+ 3 (+ (* -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))) (* 2 (/ 1 (pow r 2)))))))>
#<alt (+ 3 (+ (* -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))) (* 2 (/ 1 (pow r 2))))))))>
#<alt (+ 3 (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))))>
#<alt (+ 3 (+ (* -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))))))>
#<alt (+ 3 (+ (* -1 (/ (+ (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))))>
#<alt (+ 3 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 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) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4)))))>
#<alt (* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4)))))>
#<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 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4)))))>
#<alt (* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4)))))>
#<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) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2))))))>
#<alt (* (pow w 2) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2))))))>
#<alt (* (pow w 2) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (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))) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2))))))>
#<alt (* (pow w 2) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2))))))>
#<alt (* (pow w 2) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 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))) (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (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))) (* 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)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (+ (* -1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* -1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -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)>
#<alt (- (+ (* -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))) (* 2 (/ 1 (pow r 2)))))) 3/2)>
#<alt (- (+ (* -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))) (* 2 (/ 1 (pow r 2))))))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -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)>
#<alt (- (+ (* -1 (/ (+ (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)>
#<alt (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)>
#<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))>
#<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 (* (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 (* -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 (- (* 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) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (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)))))>
#<alt (* (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)))))>
#<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))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (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)))))>
#<alt (* (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)))))>
#<alt -3>
#<alt (- (* 2 v) 3)>
#<alt (- (* 2 v) 3)>
#<alt (- (* 2 v) 3)>
#<alt (* 2 v)>
#<alt (* v (- 2 (* 3 (/ 1 v))))>
#<alt (* v (- 2 (* 3 (/ 1 v))))>
#<alt (* v (- 2 (* 3 (/ 1 v))))>
#<alt (* 2 v)>
#<alt (* -1 (* v (- (* 3 (/ 1 v)) 2)))>
#<alt (* -1 (* v (- (* 3 (/ 1 v)) 2)))>
#<alt (* -1 (* v (- (* 3 (/ 1 v)) 2)))>
#<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 (/ 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))>
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Calls

141 calls:

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

rewrite464.0ms (3.4%)

Memory
10.8MiB live, 357.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 458×lower-/.f32
4 450×lower-/.f64
3 434×lower-*.f32
3 412×lower-*.f64
3 094×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042272
075272
1320242
22980242
08164230
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 702
Calls
Call 1
Inputs
(fma.f64 (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(-.f64 (fma.f64 (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/8 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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(*.f64 r r)
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w)
(*.f64 #s(literal -1/4 binary64) (*.f64 r r))
(-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 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))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(/.f64 (*.f64 (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 (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) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))
(*.f64 r (*.f64 w (*.f64 r w)))
(*.f64 w (*.f64 r w))
(*.f64 r (*.f64 w w))
(*.f64 r (*.f64 r (*.f64 w w)))
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))
Outputs
(+.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)))
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)))
(+.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (fma.f64 (*.f64 (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (fma.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 (*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal 1/8 binary64)))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal 1/8 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) (-.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #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 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
(-.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 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)))) (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal 1/8 binary64)))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal 1/8 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)))))
(-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) (fma.f64 (*.f64 (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64))) (-.f64 (fma.f64 (*.f64 (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3 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 (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3 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 (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)))
(fma.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 (*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) v))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 (/.f64 (*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) #s(literal -1 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 (*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 r (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal 1/8 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (+.f64 #s(literal 3 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 (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)))
(fma.f64 (/.f64 (*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 3 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 (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)))
(fma.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) v))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(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))) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal 2 binary64) (fma.f64 (*.f64 (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3 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)))) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)))
(fma.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -1 binary64) (+.f64 #s(literal 3 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 (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 2 binary64) r) (fma.f64 (*.f64 (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)))
(fma.f64 (*.f64 (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 v #s(literal 1 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal 1/8 binary64)))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal 1/8 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) (fma.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/8 binary64))) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/8 binary64))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/8 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal 1/8 binary64)))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal 1/8 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) (*.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))))))))
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(pow.f64 (/.f64 (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal 3/2 binary64)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))) #s(literal -9/4 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))))) #s(literal -27/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))) #s(literal 9/4 binary64)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))))
(*.f64 (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))) #s(literal -9/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal 3/2 binary64))))

simplify700.0ms (5.1%)

Memory
41.3MiB live, 699.4MiB allocated
Algorithm
1×egg-herbie
Rules
20 032×lower-fma.f64
20 032×lower-fma.f32
5 954×lower-*.f64
5 954×lower-*.f32
4 544×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03479874
110769124
236378636
080988154
Stop Event
1×iter limit
1×node limit
Counts
564 → 564
Calls
Call 1
Inputs
(+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))))
(+ 3 (+ (* -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 (+ (* -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 (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (+ (* -1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* -1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))))
(+ 3 (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))))
(+ 3 (+ (* -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 (+ (* -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))) (* 2 (/ 1 (pow r 2)))))))
(+ 3 (+ (* -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))) (* 2 (/ 1 (pow r 2))))))))
(+ 3 (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))))
(+ 3 (+ (* -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 (+ (* -1 (/ (+ (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))))
(+ 3 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2))
(* -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))) (* 3 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4)))))
(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4)))))
(* -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))) (* 3 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4)))))
(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4)))))
(+ 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) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2))))))
(* (pow w 2) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2))))))
(* (pow w 2) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (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))) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2))))))
(* (pow w 2) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2))))))
(* (pow w 2) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2))))))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* 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 (+ (* -1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* -1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))) 3/2)
(- (+ (* -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))) (+ (* -1/8 (/ (- (* -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))) (* 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)) (+ (* -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))) (* 2 (/ 1 (pow r 2))))))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (+ (* -1 (/ (+ (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2)
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow r 2) (- (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 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))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 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) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (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)))))
(* (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) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (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)))))
(* (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)))))
(* (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
(- (* 2 v) 3)
(- (* 2 v) 3)
(- (* 2 v) 3)
(* 2 v)
(* v (- 2 (* 3 (/ 1 v))))
(* v (- 2 (* 3 (/ 1 v))))
(* v (- 2 (* 3 (/ 1 v))))
(* 2 v)
(* -1 (* v (- (* 3 (/ 1 v)) 2)))
(* -1 (* v (- (* 3 (/ 1 v)) 2)))
(* -1 (* v (- (* 3 (/ 1 v)) 2)))
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)))))
(/ 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) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(/ 2 (pow r 2))
(/ (+ 2 (* -1/4 (* (pow r 4) (pow w 2)))) (pow r 2))
(/ (+ 2 (* -1/4 (* (pow r 4) (pow w 2)))) (pow r 2))
(/ (+ 2 (* -1/4 (* (pow r 4) (pow w 2)))) (pow r 2))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4)))))
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4)))))
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4)))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4)))))
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4)))))
(* (pow r 2) (+ (* -1/4 (pow w 2)) (* 2 (/ 1 (pow r 4)))))
(/ 2 (pow r 2))
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (pow r 2))
(* -1/4 (pow r 2))
(* -1/4 (pow r 2))
(* -1/4 (pow r 2))
(* -1/4 (pow r 2))
(* -1/4 (pow r 2))
(* -1/4 (pow r 2))
(* -1/4 (pow r 2))
(* -1/4 (pow r 2))
(* -1/4 (pow r 2))
(* -1/4 (pow r 2))
(* -1/4 (pow r 2))
-3/8
(- (* -1/8 v) 3/8)
(- (* -1/8 v) 3/8)
(- (* -1/8 v) 3/8)
(* -1/8 v)
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(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))
(* (pow r 2) (* (pow w 2) (+ 3 (* -2 v))))
(* 1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v)))
(* 1/8 (* (pow r 2) (pow w 2)))
(+ (* 1/8 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (pow r 2) (pow w 2))))
(+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (pow r 2) (pow w 2))))))
(+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (pow r 2) (pow w 2))))))))
(* -1/8 (/ (* (pow r 2) (pow w 2)) v))
(/ (+ (* -1/8 (* (pow r 2) (pow w 2))) (* -1/8 (/ (* (pow r 2) (pow w 2)) v))) v)
(/ (+ (* -1/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) v)
(/ (+ (* -1/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* -1/8 (/ (* (pow r 2) (pow w 2)) (pow v 3)))))) v)
(* -1/8 (/ (* (pow r 2) (pow w 2)) v))
(* -1 (/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow r 2) (pow w 2))) (* -1/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* 1/8 (* (pow r 2) (pow w 2)))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* -1/8 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (* (pow r 2) (pow w 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))
(* 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 (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
-3/2
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
-3/2
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))
(* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))
(* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2)))))
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -1/8 (* (pow r 2) (* v (pow w 2))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -1/8 (* (pow r 2) (* v (pow w 2))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -1/8 (* (pow r 2) (* v (pow w 2))))) 3/2)
(* -1/8 (* (pow r 2) (* v (pow w 2))))
(* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 v))))
(* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 v))))
(* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 v))))
(* -1/8 (* (pow r 2) (* v (pow w 2))))
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
Outputs
(+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))))
(+.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+ 3 (+ (* -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))))))
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+ 3 (+ (* -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))))))))))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 (*.f64 w w) (*.f64 (*.f64 r r) v)) (fma.f64 #s(literal -1/8 binary64) v #s(literal -1/8 binary64)) #s(literal 3 binary64)))
(+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 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))))))))))))
(+.f64 #s(literal 3 binary64) (fma.f64 v (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 (+.f64 v #s(literal 1 binary64)) v #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(+ 3 (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))))
(+.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+ 3 (+ (* -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))))))
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+ 3 (+ (* -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))) (* 2 (/ 1 (pow r 2)))))))
(+.f64 #s(literal 3 binary64) (fma.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)) (fma.f64 (*.f64 (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(+ 3 (+ (* -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))) (* 2 (/ 1 (pow r 2))))))))
(+.f64 #s(literal 3 binary64) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (fma.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 v (neg.f64 v))) (+.f64 (/.f64 #s(literal -1/8 binary64) v) #s(literal -1/8 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(+ 3 (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))))
(+.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+ 3 (+ (* -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))))))
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+ 3 (+ (* -1 (/ (+ (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))))
(+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 r r) (*.f64 w (+.f64 w (/.f64 w v)))) v) (fma.f64 (*.f64 (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(+ 3 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))))
(+.f64 (+.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w w) #s(literal -1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 r (*.f64 r (*.f64 w w)) (/.f64 (*.f64 (*.f64 r r) (*.f64 w (+.f64 w (/.f64 w v)))) v))) v))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2))
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2))
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 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) #s(literal -1/8 binary64)) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v))
(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3 (/ 1 (pow r 2)))))
(fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64))
(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4)))))
(fma.f64 (*.f64 r r) (fma.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)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal 3 binary64))
(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4)))))
(fma.f64 (*.f64 r r) (fma.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)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal 3 binary64))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v))
(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3 (/ 1 (pow r 2)))))
(fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64))
(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4)))))
(fma.f64 (*.f64 r r) (fma.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)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal 3 binary64))
(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4)))))
(fma.f64 (*.f64 r r) (fma.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)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal 3 binary64))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
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eval347.0ms (2.5%)

Memory
31.7MiB live, 419.8MiB allocated
Compiler

Compiled 57 561 to 3 024 computations (94.7% saved)

prune199.0ms (1.4%)

Memory
-24.1MiB live, 427.0MiB allocated
Pruning

28 alts after pruning (25 fresh and 3 done)

PrunedKeptTotal
New1 584211 605
Fresh8412
Picked235
Done000
Total1 594281 622
Accuracy
100.0%
Counts
1 622 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.8%
(fma.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
73.3%
(fma.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) r) (*.f64 r (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
78.5%
(fma.f64 (*.f64 (*.f64 r w) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) r (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
85.3%
(fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
92.9%
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
85.7%
(fma.f64 (*.f64 r #s(literal -1/4 binary64)) (*.f64 r (*.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
45.3%
(/.f64 (fma.f64 (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))) #s(literal -9/4 binary64)) r (*.f64 (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) r))) (*.f64 (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal 3/2 binary64)) r))
42.8%
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
✓42.8%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
▶46.8%
(-.f64 (fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) #s(literal 9/2 binary64))
82.3%
(-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) v) (/.f64 (*.f64 #s(literal 1/8 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))
60.2%
(-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal -8 binary64) #s(literal 27 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 (-.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 v #s(literal -6 binary64))) (-.f64 #s(literal 1 binary64) v))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64))
✓96.1%
(-.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))
84.8%
(-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 #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))
52.0%
(-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64))
45.7%
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
▶95.6%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.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))
80.8%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))
81.2%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))
84.1%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64)))
▶57.2%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
✓88.1%
(+.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))))
58.4%
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))
▶42.7%
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
19.5%
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/8 binary64) v))
36.9%
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))
▶38.7%
(*.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))))
26.1%
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))))
Compiler

Compiled 1 149 to 747 computations (35% saved)

simplify332.0ms (2.4%)

Memory
-6.8MiB live, 548.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v))
✓cost-diff0
(*.f64 r r)
✓cost-diff0
(fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64))
✓cost-diff192
(-.f64 (fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) #s(literal 9/2 binary64))
✓cost-diff0
(*.f64 #s(literal -1/8 binary64) (*.f64 w w))
✓cost-diff0
(*.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)))
✓cost-diff0
(*.f64 r r)
✓cost-diff0
(*.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))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) r)
✓cost-diff0
(/.f64 #s(literal 2 binary64) r)
✓cost-diff704
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
✓cost-diff0
(*.f64 r r)
✓cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓cost-diff0
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
✓cost-diff0
(/.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 (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))))
✓cost-diff192
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.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))
Rules
9 500×lower-fma.f32
9 496×lower-fma.f64
5 428×lower-*.f32
5 400×lower-*.f64
2 710×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039330
069327
1139327
2374324
31653324
45574324
08129322
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.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 3 binary64) (/.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))))
(+.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 (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)))
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w))))
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
v
#s(literal -2 binary64)
(*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))
#s(literal 1/8 binary64)
(*.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)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(literal -3/2 binary64)
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(/.f64 #s(literal 2 binary64) r)
#s(literal 2 binary64)
r
(/.f64 #s(literal 1 binary64) r)
#s(literal 1 binary64)
(*.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))))
(*.f64 r 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)))
(*.f64 #s(literal -1/8 binary64) (*.f64 w w))
#s(literal -1/8 binary64)
(*.f64 w w)
w
(/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))
(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 (fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) #s(literal 9/2 binary64))
(fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64))
(*.f64 r r)
r
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v))
(*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w))
#s(literal -1/8 binary64)
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w)
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
v
#s(literal -2 binary64)
#s(literal 3 binary64)
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 (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)) (fma.f64 (*.f64 w (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64))) (*.f64 w (*.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 (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))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64))) (*.f64 w (*.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 (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)))
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 w (*.f64 #s(literal 1/8 binary64) w))) (/.f64 r (-.f64 #s(literal 1 binary64) v))))
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w))))
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 #s(literal 1/8 binary64) w))))
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
v
#s(literal -2 binary64)
(*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))
(*.f64 r (*.f64 w (*.f64 #s(literal 1/8 binary64) w)))
#s(literal 1/8 binary64)
(*.f64 w (*.f64 r w))
(*.f64 r (*.f64 w 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)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(literal -3/2 binary64)
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 #s(literal 2 binary64) r)
#s(literal 2 binary64)
r
(/.f64 #s(literal 1 binary64) r)
#s(literal 1 binary64)
(*.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))))
(/.f64 (*.f64 (*.f64 r r) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (*.f64 w #s(literal -1/8 binary64))))) (-.f64 #s(literal 1 binary64) v))
(*.f64 r 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)))
(/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (*.f64 w #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) v))
(*.f64 #s(literal -1/8 binary64) (*.f64 w w))
(*.f64 w (*.f64 w #s(literal -1/8 binary64)))
#s(literal -1/8 binary64)
(*.f64 w w)
w
(/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))
(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 (fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) #s(literal 9/2 binary64))
(fma.f64 (*.f64 w (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64))) (*.f64 w (*.f64 r (/.f64 r (+.f64 v #s(literal -1 binary64))))) #s(literal -3/2 binary64))
(fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64))
(fma.f64 (*.f64 w (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64))) (*.f64 w (*.f64 r (/.f64 r (+.f64 v #s(literal -1 binary64))))) #s(literal 3 binary64))
(*.f64 r r)
r
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v))
(/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (*.f64 w #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) v))
(*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w))
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (*.f64 w #s(literal -1/8 binary64))))
#s(literal -1/8 binary64)
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w w))
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w)
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
v
#s(literal -2 binary64)
#s(literal 3 binary64)
w
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)

localize150.0ms (1.1%)

Memory
22.5MiB live, 378.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w)
✓accuracy99.8%
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)
✓accuracy94.5%
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v))
✓accuracy82.9%
(fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64))
✓accuracy100.0%
(*.f64 #s(literal -1/8 binary64) (*.f64 w w))
✓accuracy100.0%
(/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))
✓accuracy99.8%
(*.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)))
✓accuracy75.7%
(*.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))))
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) r)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) r)
✓accuracy99.6%
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
✓accuracy100.0%
(*.f64 r r)
✓accuracy99.6%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓accuracy99.8%
(*.f64 w (*.f64 r w))
✓accuracy99.6%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓accuracy95.7%
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w))))
✓accuracy92.1%
(*.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)))
Samples
65.0ms235×0valid
6.0ms14×1valid
5.0ms7×2valid
Compiler

Compiled 350 to 43 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 23.0ms (47.1% of total)
ival-div: 12.0ms (24.6% of total)
ival-sub: 7.0ms (14.3% of total)
ival-add: 5.0ms (10.2% of total)
adjust: 1.0ms (2% of total)
exact: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series40.0ms (0.3%)

Memory
2.0MiB live, 74.9MiB allocated
Counts
21 → 480
Calls
Call 1
Inputs
#<alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.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))>
#<alt (-.f64 (+.f64 #s(literal 3 binary64) (/.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))))>
#<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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))>
#<alt (*.f64 r r)>
#<alt (*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))>
#<alt (/.f64 #s(literal 2 binary64) r)>
#<alt (/.f64 #s(literal 1 binary64) r)>
#<alt (*.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))))>
#<alt (*.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)))>
#<alt (*.f64 #s(literal -1/8 binary64) (*.f64 w w))>
#<alt (-.f64 (fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) #s(literal 9/2 binary64))>
#<alt (fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64))>
#<alt (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v))>
#<alt (*.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)))>
#<alt (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w))))>
#<alt (*.f64 w (*.f64 r w))>
#<alt (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))>
#<alt (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)>
#<alt (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) 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 (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 (/ 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 (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt -3/2>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt -3/2>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<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 (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 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<alt (/ 1 r)>
#<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)))>
#<alt (* -3/8 (* (pow r 2) (pow w 2)))>
#<alt (+ (* -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)))))))>
#<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 (+ (* -1/4 (* (pow r 2) (pow w 2))) (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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))))))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (+ (* -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)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* -1/4 (* (pow r 2) (pow w 2))))>
#<alt (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (* -3/8 (pow w 2))>
#<alt (+ (* -3/8 (pow w 2)) (* -1/8 (* v (- (* -2 (pow w 2)) (* -3 (pow w 2))))))>
#<alt (+ (* -3/8 (pow w 2)) (* v (+ (* -1/8 (* v (- (* -2 (pow w 2)) (* -3 (pow w 2))))) (* -1/8 (- (* -2 (pow w 2)) (* -3 (pow w 2)))))))>
#<alt (+ (* -3/8 (pow w 2)) (* v (+ (* -1/8 (- (* -2 (pow w 2)) (* -3 (pow w 2)))) (* v (+ (* -1/8 (* v (- (* -2 (pow w 2)) (* -3 (pow w 2))))) (* -1/8 (- (* -2 (pow w 2)) (* -3 (pow w 2)))))))))>
#<alt (* -1/4 (pow w 2))>
#<alt (+ (* -1/4 (pow w 2)) (* -1/8 (/ (- (* -3 (pow w 2)) (* -2 (pow w 2))) v)))>
#<alt (+ (* -1/4 (pow w 2)) (+ (* -1/8 (/ (- (* -3 (pow w 2)) (* -2 (pow w 2))) v)) (* -1/8 (/ (- (* -3 (pow w 2)) (* -2 (pow w 2))) (pow v 2)))))>
#<alt (+ (* -1/4 (pow w 2)) (+ (* -1/8 (/ (- (* -3 (pow w 2)) (* -2 (pow w 2))) v)) (+ (* -1/8 (/ (- (* -3 (pow w 2)) (* -2 (pow w 2))) (pow v 2))) (* -1/8 (/ (- (* -3 (pow w 2)) (* -2 (pow w 2))) (pow v 3))))))>
#<alt (* -1/4 (pow w 2))>
#<alt (+ (* -1/4 (pow w 2)) (* 1/8 (/ (- (* 3 (pow w 2)) (* 2 (pow w 2))) v)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (- (* 3 (pow w 2)) (* 2 (pow w 2)))) (* 1/8 (/ (- (* 2 (pow w 2)) (* 3 (pow w 2))) v))) v)) (* -1/4 (pow w 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (pow w 2)) (* 3 (pow w 2)))) (* 1/8 (/ (- (* 3 (pow w 2)) (* 2 (pow w 2))) v))) v)) (* -1/8 (- (* 3 (pow w 2)) (* 2 (pow w 2))))) v)) (* -1/4 (pow w 2)))>
#<alt (* -1/8 (pow w 2))>
#<alt (* -1/8 (pow w 2))>
#<alt (* -1/8 (pow w 2))>
#<alt (* -1/8 (pow w 2))>
#<alt (* -1/8 (pow w 2))>
#<alt (* -1/8 (pow w 2))>
#<alt (* -1/8 (pow w 2))>
#<alt (* -1/8 (pow w 2))>
#<alt (* -1/8 (pow w 2))>
#<alt (* -1/8 (pow w 2))>
#<alt (* -1/8 (pow w 2))>
#<alt (* -1/8 (pow w 2))>
#<alt -3/2>
#<alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)>
#<alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)>
#<alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)>
#<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))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -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 (* (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))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (+ (* -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))))))) 3/2)>
#<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)))))))) 3/2)>
#<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)))))))))) 3/2)>
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (+ (* -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))) 3/2)>
#<alt (- (+ (* -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))))) 3/2)>
#<alt (- (+ (* -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)))))) 3/2)>
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (+ (* -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))) 3/2)>
#<alt (- (+ (* -1 (/ (+ (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/4 (* (pow r 2) (pow w 2)))) 3/2)>
#<alt (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* -1/4 (* (pow r 2) (pow w 2)))) 3/2)>
#<alt -3/2>
#<alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)>
#<alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)>
#<alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)>
#<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))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (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) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt 3>
#<alt (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))>
#<alt (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))>
#<alt (+ 3 (* -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))) (* 3 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3 (/ 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 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3 (/ 1 (pow r 2)))))>
#<alt (+ 3 (* -3/8 (* (pow r 2) (pow w 2))))>
#<alt (+ 3 (+ (* -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))))))))>
#<alt (+ 3 (+ (* -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 (+ (* -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 (+ 3 (* -1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ 3 (+ (* -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))))>
#<alt (+ 3 (+ (* -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))))))>
#<alt (+ 3 (+ (* -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)))))))>
#<alt (+ 3 (* -1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ 3 (+ (* -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))))>
#<alt (+ 3 (+ (* -1 (/ (+ (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/4 (* (pow r 2) (pow w 2)))))>
#<alt (+ 3 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* -1/4 (* (pow r 2) (pow w 2)))))>
#<alt 3>
#<alt (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))>
#<alt (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))>
#<alt (+ 3 (* -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))) (* 3 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3 (/ 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))) (* 3 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3 (/ 1 (pow w 2)))))>
#<alt (* -3/8 (pow w 2))>
#<alt (+ (* -3/8 (pow w 2)) (* -1/8 (* v (- (* -2 (pow w 2)) (* -3 (pow w 2))))))>
#<alt (+ (* -3/8 (pow w 2)) (* v (+ (* -1/8 (* v (- (* -2 (pow w 2)) (* -3 (pow w 2))))) (* -1/8 (- (* -2 (pow w 2)) (* -3 (pow w 2)))))))>
#<alt (+ (* -3/8 (pow w 2)) (* v (+ (* -1/8 (- (* -2 (pow w 2)) (* -3 (pow w 2)))) (* v (+ (* -1/8 (* v (- (* -2 (pow w 2)) (* -3 (pow w 2))))) (* -1/8 (- (* -2 (pow w 2)) (* -3 (pow w 2)))))))))>
#<alt (* -1/4 (pow w 2))>
#<alt (+ (* -1/4 (pow w 2)) (* -1/8 (/ (- (* -3 (pow w 2)) (* -2 (pow w 2))) v)))>
#<alt (+ (* -1/4 (pow w 2)) (+ (* -1/8 (/ (- (* -3 (pow w 2)) (* -2 (pow w 2))) v)) (* -1/8 (/ (- (* -3 (pow w 2)) (* -2 (pow w 2))) (pow v 2)))))>
#<alt (+ (* -1/4 (pow w 2)) (+ (* -1/8 (/ (- (* -3 (pow w 2)) (* -2 (pow w 2))) v)) (+ (* -1/8 (/ (- (* -3 (pow w 2)) (* -2 (pow w 2))) (pow v 2))) (* -1/8 (/ (- (* -3 (pow w 2)) (* -2 (pow w 2))) (pow v 3))))))>
#<alt (* -1/4 (pow w 2))>
#<alt (+ (* -1/4 (pow w 2)) (* 1/8 (/ (- (* 3 (pow w 2)) (* 2 (pow w 2))) v)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (- (* 3 (pow w 2)) (* 2 (pow w 2)))) (* 1/8 (/ (- (* 2 (pow w 2)) (* 3 (pow w 2))) v))) v)) (* -1/4 (pow w 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (pow w 2)) (* 3 (pow w 2)))) (* 1/8 (/ (- (* 3 (pow w 2)) (* 2 (pow w 2))) v))) v)) (* -1/8 (- (* 3 (pow w 2)) (* 2 (pow w 2))))) v)) (* -1/4 (pow w 2)))>
#<alt (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))>
#<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)))>
#<alt (* 3/8 (* r (pow w 2)))>
#<alt (+ (* -1/4 (* r (* v (pow w 2)))) (* 3/8 (* r (pow w 2))))>
#<alt (+ (* -1/4 (* r (* v (pow w 2)))) (* 3/8 (* r (pow w 2))))>
#<alt (+ (* -1/4 (* r (* v (pow w 2)))) (* 3/8 (* r (pow w 2))))>
#<alt (* -1/4 (* r (* v (pow w 2))))>
#<alt (* v (+ (* -1/4 (* r (pow w 2))) (* 3/8 (/ (* r (pow w 2)) v))))>
#<alt (* v (+ (* -1/4 (* r (pow w 2))) (* 3/8 (/ (* r (pow w 2)) v))))>
#<alt (* v (+ (* -1/4 (* r (pow w 2))) (* 3/8 (/ (* r (pow w 2)) v))))>
#<alt (* -1/4 (* r (* v (pow w 2))))>
#<alt (* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2))))))>
#<alt (* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2))))))>
#<alt (* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2))))))>
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* (pow w 2) (+ 3 (* -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))>
#<alt 3>
#<alt (+ 3 v)>
#<alt (+ 3 (* v (+ 1 v)))>
#<alt (+ 3 (* v (+ 1 (* v (+ 1 v)))))>
#<alt 2>
#<alt (- 2 (/ 1 v))>
#<alt (+ 2 (* -1 (/ (+ 1 (/ 1 v)) v)))>
#<alt (- (+ 2 (* -1 (/ (+ 1 (/ 1 v)) (pow v 2)))) (/ 1 v))>
#<alt 2>
#<alt (- 2 (/ 1 v))>
#<alt (+ 2 (* -1 (/ (+ 1 (/ 1 v)) v)))>
#<alt (+ 2 (* -1 (/ (+ 1 (+ (/ 1 v) (/ 1 (pow v 2)))) v)))>
#<alt (* 3 (pow w 2))>
#<alt (+ (* -2 (* v (pow w 2))) (* 3 (pow w 2)))>
#<alt (+ (* -2 (* v (pow w 2))) (* 3 (pow w 2)))>
#<alt (+ (* -2 (* v (pow w 2))) (* 3 (pow w 2)))>
#<alt (* -2 (* v (pow w 2)))>
#<alt (* v (+ (* -2 (pow w 2)) (* 3 (/ (pow w 2) v))))>
#<alt (* v (+ (* -2 (pow w 2)) (* 3 (/ (pow w 2) v))))>
#<alt (* v (+ (* -2 (pow w 2)) (* 3 (/ (pow w 2) v))))>
#<alt (* -2 (* v (pow w 2)))>
#<alt (* -1 (* v (+ (* -3 (/ (pow w 2) v)) (* 2 (pow w 2)))))>
#<alt (* -1 (* v (+ (* -3 (/ (pow w 2) v)) (* 2 (pow w 2)))))>
#<alt (* -1 (* v (+ (* -3 (/ (pow w 2) v)) (* 2 (pow w 2)))))>
#<alt (* (pow w 2) (+ 3 (* -2 v)))>
#<alt (* (pow w 2) (+ 3 (* -2 v)))>
#<alt (* (pow w 2) (+ 3 (* -2 v)))>
#<alt (* (pow w 2) (+ 3 (* -2 v)))>
#<alt (* (pow w 2) (+ 3 (* -2 v)))>
#<alt (* (pow w 2) (+ 3 (* -2 v)))>
#<alt (* (pow w 2) (+ 3 (* -2 v)))>
#<alt (* (pow w 2) (+ 3 (* -2 v)))>
#<alt (* (pow w 2) (+ 3 (* -2 v)))>
#<alt (* (pow w 2) (+ 3 (* -2 v)))>
#<alt (* (pow w 2) (+ 3 (* -2 v)))>
#<alt (* (pow w 2) (+ 3 (* -2 v)))>
#<alt (* 3 w)>
#<alt (+ (* -2 (* v w)) (* 3 w))>
#<alt (+ (* -2 (* v w)) (* 3 w))>
#<alt (+ (* -2 (* v w)) (* 3 w))>
#<alt (* -2 (* v w))>
#<alt (* v (+ (* -2 w) (* 3 (/ w v))))>
#<alt (* v (+ (* -2 w) (* 3 (/ w v))))>
#<alt (* v (+ (* -2 w) (* 3 (/ w v))))>
#<alt (* -2 (* v w))>
#<alt (* -1 (* v (+ (* -3 (/ w v)) (* 2 w))))>
#<alt (* -1 (* v (+ (* -3 (/ w v)) (* 2 w))))>
#<alt (* -1 (* v (+ (* -3 (/ w v)) (* 2 w))))>
#<alt (* w (+ 3 (* -2 v)))>
#<alt (* w (+ 3 (* -2 v)))>
#<alt (* w (+ 3 (* -2 v)))>
#<alt (* w (+ 3 (* -2 v)))>
#<alt (* w (+ 3 (* -2 v)))>
#<alt (* w (+ 3 (* -2 v)))>
#<alt (* w (+ 3 (* -2 v)))>
#<alt (* w (+ 3 (* -2 v)))>
#<alt (* w (+ 3 (* -2 v)))>
#<alt (* w (+ 3 (* -2 v)))>
#<alt (* w (+ 3 (* -2 v)))>
#<alt (* w (+ 3 (* -2 v)))>
Calls

120 calls:

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

rewrite583.0ms (4.2%)

Memory
-13.9MiB live, 618.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 052×lower-*.f32
6 024×lower-*.f64
4 862×lower-/.f32
4 850×lower-/.f64
3 570×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039237
069234
1269234
22128229
09398222
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 697
Calls
Call 1
Inputs
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.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 3 binary64) (/.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))))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(*.f64 r r)
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(/.f64 #s(literal 2 binary64) r)
(/.f64 #s(literal 1 binary64) r)
(*.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))))
(*.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)))
(*.f64 #s(literal -1/8 binary64) (*.f64 w w))
(-.f64 (fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) #s(literal 9/2 binary64))
(fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v))
(*.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)))
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w))))
(*.f64 w (*.f64 r w))
(/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w)
Outputs
(+.f64 #s(literal 3 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 (*.f64 r (*.f64 w w)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (*.f64 #s(literal 1/8 binary64) (/.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 (*.f64 r (*.f64 w w)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (*.f64 #s(literal 1/8 binary64) (/.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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (*.f64 #s(literal 1/8 binary64) (/.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 (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 r (*.f64 w w)) (*.f64 #s(literal 1/8 binary64) (/.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 (neg.f64 (*.f64 (*.f64 (*.f64 r (*.f64 w w)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)))
(+.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 (*.f64 r (*.f64 w w)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v))))) #s(literal -9/2 binary64))
(+.f64 #s(literal -9/2 binary64) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 (*.f64 r (*.f64 w w)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v))))))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (*.f64 #s(literal 1/8 binary64) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (*.f64 (*.f64 (*.f64 r (*.f64 w w)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64)))
(-.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 (*.f64 r (*.f64 w w)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v))))) #s(literal 9/2 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 (*.f64 r (*.f64 w w)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v))))) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 (*.f64 r (*.f64 w w)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v))))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 (*.f64 r (*.f64 w w)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v))))) (fma.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 (*.f64 r (*.f64 w w)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v))))) #s(literal 9/2 binary64) #s(literal 81/4 binary64)))) (/.f64 #s(literal 729/8 binary64) (fma.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 (*.f64 r (*.f64 w w)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v))))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 (*.f64 r (*.f64 w w)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v))))) (fma.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 (*.f64 r (*.f64 w w)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v))))) #s(literal 9/2 binary64) #s(literal 81/4 binary64)))))
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(*.f64 (*.f64 w #s(literal -1/8 binary64)) (*.f64 w (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
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(*.f64 (*.f64 (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 w #s(literal -1/8 binary64))) w)
(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (*.f64 w #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)))
(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (*.f64 w #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 v #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 r (*.f64 w w)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) v) r))
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(fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w w))) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w w))) (*.f64 v #s(literal -2 binary64))))
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(fma.f64 (*.f64 v #s(literal -2 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w w))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w w)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w w))) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal -8 binary64) #s(literal 27 binary64))) (fma.f64 (*.f64 v v) #s(literal 4 binary64) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w w))) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64)))
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(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w w))))
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(*.f64 (*.f64 r (*.f64 w w)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 r (*.f64 w w)))
(*.f64 (*.f64 #s(literal 1/8 binary64) w) (*.f64 (*.f64 r w) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w w))) #s(literal 1/8 binary64))
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) w)) (*.f64 r w))
(*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 r w))
(*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 r w)) w)
(*.f64 r (*.f64 w w))
(*.f64 w (*.f64 r w))
(*.f64 (*.f64 r w) w)
(*.f64 (*.f64 w w) r)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) v))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))
(/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) v)))
(/.f64 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal -8 binary64) #s(literal 27 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 (*.f64 v v) #s(literal 4 binary64) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64))))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) v) (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 binary64)) (*.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) v)))
(/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) v)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v))))
(/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))
(/.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal -8 binary64) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (*.f64 v v) #s(literal 4 binary64) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))) (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64)))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) v))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)))
(*.f64 (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 v #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal -8 binary64) #s(literal 27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 4 binary64) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64))))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 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)) (*.f64 w w)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64)) (*.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64)))
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w w))
(*.f64 w (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w))
(*.f64 (*.f64 w w) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)
(+.f64 (*.f64 w #s(literal 3 binary64)) (*.f64 w (*.f64 v #s(literal -2 binary64))))
(+.f64 (*.f64 w (*.f64 v #s(literal -2 binary64))) (*.f64 w #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal 3 binary64) w) (*.f64 (*.f64 v #s(literal -2 binary64)) w))
(+.f64 (*.f64 (*.f64 v #s(literal -2 binary64)) w) (*.f64 #s(literal 3 binary64) w))
(fma.f64 #s(literal 3 binary64) w (*.f64 (*.f64 v #s(literal -2 binary64)) w))
(fma.f64 w #s(literal 3 binary64) (*.f64 w (*.f64 v #s(literal -2 binary64))))
(fma.f64 w (*.f64 v #s(literal -2 binary64)) (*.f64 w #s(literal 3 binary64)))
(fma.f64 (*.f64 v #s(literal -2 binary64)) w (*.f64 #s(literal 3 binary64) w))
(/.f64 (*.f64 w (fma.f64 (*.f64 v (*.f64 v v)) #s(literal -8 binary64) #s(literal 27 binary64))) (fma.f64 (*.f64 v v) #s(literal 4 binary64) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64)))))
(/.f64 (*.f64 w (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 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal -8 binary64) #s(literal 27 binary64)) w) (fma.f64 (*.f64 v v) #s(literal 4 binary64) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64)) w) (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64)))
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w)
(*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))

simplify416.0ms (3%)

Memory
29.6MiB live, 672.1MiB allocated
Algorithm
1×egg-herbie
Rules
13 560×lower-fma.f64
13 560×lower-fma.f32
5 754×lower-*.f64
5 754×lower-*.f32
4 846×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03768072
112447660
241396950
084846523
Stop Event
1×iter limit
1×node limit
Counts
480 → 480
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)))))
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(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* -1/8 (/ (- (* -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)))))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 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))) 3/2)
(- (+ (* -1 (/ (+ (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/4 (* (pow r 2) (pow w 2)))) 3/2)
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* -1/4 (* (pow r 2) (pow w 2)))) 3/2)
-3/2
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)
(* -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))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 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) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))
3
(+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))
(+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))
(+ 3 (* -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))) (* 3 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3 (/ 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))) (* 3 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3 (/ 1 (pow r 2)))))
(+ 3 (* -3/8 (* (pow r 2) (pow w 2))))
(+ 3 (+ (* -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 (+ (* -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 (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* -1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))))
(+ 3 (* -1/4 (* (pow r 2) (pow w 2))))
(+ 3 (+ (* -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))))
(+ 3 (+ (* -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))))))
(+ 3 (+ (* -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)))))))
(+ 3 (* -1/4 (* (pow r 2) (pow w 2))))
(+ 3 (+ (* -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))))
(+ 3 (+ (* -1 (/ (+ (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/4 (* (pow r 2) (pow w 2)))))
(+ 3 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* -1/4 (* (pow r 2) (pow w 2)))))
3
(+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))
(+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))
(+ 3 (* -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))) (* 3 (/ 1 (pow w 2)))))
(* (pow w 2) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3 (/ 1 (pow w 2)))))
(* (pow w 2) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3 (/ 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))) (* 3 (/ 1 (pow w 2)))))
(* (pow w 2) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3 (/ 1 (pow w 2)))))
(* (pow w 2) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3 (/ 1 (pow w 2)))))
(* -3/8 (pow w 2))
(+ (* -3/8 (pow w 2)) (* -1/8 (* v (- (* -2 (pow w 2)) (* -3 (pow w 2))))))
(+ (* -3/8 (pow w 2)) (* v (+ (* -1/8 (* v (- (* -2 (pow w 2)) (* -3 (pow w 2))))) (* -1/8 (- (* -2 (pow w 2)) (* -3 (pow w 2)))))))
(+ (* -3/8 (pow w 2)) (* v (+ (* -1/8 (- (* -2 (pow w 2)) (* -3 (pow w 2)))) (* v (+ (* -1/8 (* v (- (* -2 (pow w 2)) (* -3 (pow w 2))))) (* -1/8 (- (* -2 (pow w 2)) (* -3 (pow w 2)))))))))
(* -1/4 (pow w 2))
(+ (* -1/4 (pow w 2)) (* -1/8 (/ (- (* -3 (pow w 2)) (* -2 (pow w 2))) v)))
(+ (* -1/4 (pow w 2)) (+ (* -1/8 (/ (- (* -3 (pow w 2)) (* -2 (pow w 2))) v)) (* -1/8 (/ (- (* -3 (pow w 2)) (* -2 (pow w 2))) (pow v 2)))))
(+ (* -1/4 (pow w 2)) (+ (* -1/8 (/ (- (* -3 (pow w 2)) (* -2 (pow w 2))) v)) (+ (* -1/8 (/ (- (* -3 (pow w 2)) (* -2 (pow w 2))) (pow v 2))) (* -1/8 (/ (- (* -3 (pow w 2)) (* -2 (pow w 2))) (pow v 3))))))
(* -1/4 (pow w 2))
(+ (* -1/4 (pow w 2)) (* 1/8 (/ (- (* 3 (pow w 2)) (* 2 (pow w 2))) v)))
(+ (* -1 (/ (+ (* -1/8 (- (* 3 (pow w 2)) (* 2 (pow w 2)))) (* 1/8 (/ (- (* 2 (pow w 2)) (* 3 (pow w 2))) v))) v)) (* -1/4 (pow w 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (pow w 2)) (* 3 (pow w 2)))) (* 1/8 (/ (- (* 3 (pow w 2)) (* 2 (pow w 2))) v))) v)) (* -1/8 (- (* 3 (pow w 2)) (* 2 (pow w 2))))) v)) (* -1/4 (pow w 2)))
(* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))
(* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))
(* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))
(* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))
(* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))
(* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))
(* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))
(* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))
(* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))
(* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))
(* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))
(* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))
(* 3/8 (* (pow r 2) (pow w 2)))
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 3/8 (* r (pow w 2)))
(+ (* -1/4 (* r (* v (pow w 2)))) (* 3/8 (* r (pow w 2))))
(+ (* -1/4 (* r (* v (pow w 2)))) (* 3/8 (* r (pow w 2))))
(+ (* -1/4 (* r (* v (pow w 2)))) (* 3/8 (* r (pow w 2))))
(* -1/4 (* r (* v (pow w 2))))
(* v (+ (* -1/4 (* r (pow w 2))) (* 3/8 (/ (* r (pow w 2)) v))))
(* v (+ (* -1/4 (* r (pow w 2))) (* 3/8 (/ (* r (pow w 2)) v))))
(* v (+ (* -1/4 (* r (pow w 2))) (* 3/8 (/ (* r (pow w 2)) v))))
(* -1/4 (* r (* v (pow w 2))))
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2))))))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(* 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
(+ 3 v)
(+ 3 (* v (+ 1 v)))
(+ 3 (* v (+ 1 (* v (+ 1 v)))))
2
(- 2 (/ 1 v))
(+ 2 (* -1 (/ (+ 1 (/ 1 v)) v)))
(- (+ 2 (* -1 (/ (+ 1 (/ 1 v)) (pow v 2)))) (/ 1 v))
2
(- 2 (/ 1 v))
(+ 2 (* -1 (/ (+ 1 (/ 1 v)) v)))
(+ 2 (* -1 (/ (+ 1 (+ (/ 1 v) (/ 1 (pow v 2)))) v)))
(* 3 (pow w 2))
(+ (* -2 (* v (pow w 2))) (* 3 (pow w 2)))
(+ (* -2 (* v (pow w 2))) (* 3 (pow w 2)))
(+ (* -2 (* v (pow w 2))) (* 3 (pow w 2)))
(* -2 (* v (pow w 2)))
(* v (+ (* -2 (pow w 2)) (* 3 (/ (pow w 2) v))))
(* v (+ (* -2 (pow w 2)) (* 3 (/ (pow w 2) v))))
(* v (+ (* -2 (pow w 2)) (* 3 (/ (pow w 2) v))))
(* -2 (* v (pow w 2)))
(* -1 (* v (+ (* -3 (/ (pow w 2) v)) (* 2 (pow w 2)))))
(* -1 (* v (+ (* -3 (/ (pow w 2) v)) (* 2 (pow w 2)))))
(* -1 (* v (+ (* -3 (/ (pow w 2) v)) (* 2 (pow w 2)))))
(* (pow w 2) (+ 3 (* -2 v)))
(* (pow w 2) (+ 3 (* -2 v)))
(* (pow w 2) (+ 3 (* -2 v)))
(* (pow w 2) (+ 3 (* -2 v)))
(* (pow w 2) (+ 3 (* -2 v)))
(* (pow w 2) (+ 3 (* -2 v)))
(* (pow w 2) (+ 3 (* -2 v)))
(* (pow w 2) (+ 3 (* -2 v)))
(* (pow w 2) (+ 3 (* -2 v)))
(* (pow w 2) (+ 3 (* -2 v)))
(* (pow w 2) (+ 3 (* -2 v)))
(* (pow w 2) (+ 3 (* -2 v)))
(* 3 w)
(+ (* -2 (* v w)) (* 3 w))
(+ (* -2 (* v w)) (* 3 w))
(+ (* -2 (* v w)) (* 3 w))
(* -2 (* v w))
(* v (+ (* -2 w) (* 3 (/ w v))))
(* v (+ (* -2 w) (* 3 (/ w v))))
(* v (+ (* -2 w) (* 3 (/ w v))))
(* -2 (* v w))
(* -1 (* v (+ (* -3 (/ w v)) (* 2 w))))
(* -1 (* v (+ (* -3 (/ w v)) (* 2 w))))
(* -1 (* v (+ (* -3 (/ w v)) (* 2 w))))
(* w (+ 3 (* -2 v)))
(* w (+ 3 (* -2 v)))
(* w (+ 3 (* -2 v)))
(* w (+ 3 (* -2 v)))
(* w (+ 3 (* -2 v)))
(* w (+ 3 (* -2 v)))
(* w (+ 3 (* -2 v)))
(* w (+ 3 (* -2 v)))
(* w (+ 3 (* -2 v)))
(* w (+ 3 (* -2 v)))
(* w (+ 3 (* -2 v)))
(* w (+ 3 (* -2 v)))
Outputs
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #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 #s(literal -2 binary64) v #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 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 w (*.f64 w (fma.f64 #s(literal -2 binary64) v #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 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64))
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(*.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (*.f64 r #s(literal 1/8 binary64)))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (*.f64 r #s(literal 1/8 binary64)))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (*.f64 r #s(literal 1/8 binary64)))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (*.f64 r #s(literal 1/8 binary64)))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (*.f64 r #s(literal 1/8 binary64)))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (*.f64 r #s(literal 1/8 binary64)))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (*.f64 r #s(literal 1/8 binary64)))
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v)))))
(*.f64 (*.f64 w (*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (*.f64 r #s(literal 1/8 binary64)))
(* 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))
3
#s(literal 3 binary64)
(+ 3 v)
(+.f64 #s(literal 3 binary64) v)
(+ 3 (* v (+ 1 v)))
(+.f64 #s(literal 3 binary64) (fma.f64 v v v))
(+ 3 (* v (+ 1 (* v (+ 1 v)))))
(+.f64 v (fma.f64 v (fma.f64 v v v) #s(literal 3 binary64)))
2
#s(literal 2 binary64)
(- 2 (/ 1 v))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) v))
(+ 2 (* -1 (/ (+ 1 (/ 1 v)) v)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) v)) v))
(- (+ 2 (* -1 (/ (+ 1 (/ 1 v)) (pow v 2)))) (/ 1 v))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) v)) (*.f64 v v)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) v)))
2
#s(literal 2 binary64)
(- 2 (/ 1 v))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) v))
(+ 2 (* -1 (/ (+ 1 (/ 1 v)) v)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) v)) v))
(+ 2 (* -1 (/ (+ 1 (+ (/ 1 v) (/ 1 (pow v 2)))) v)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v)))) v))
(* 3 (pow w 2))
(*.f64 (*.f64 w w) #s(literal 3 binary64))
(+ (* -2 (* v (pow w 2))) (* 3 (pow w 2)))
(*.f64 w (*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))
(+ (* -2 (* v (pow w 2))) (* 3 (pow w 2)))
(*.f64 w (*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))
(+ (* -2 (* v (pow w 2))) (* 3 (pow w 2)))
(*.f64 w (*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))
(* -2 (* v (pow w 2)))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 w w) v))
(* v (+ (* -2 (pow w 2)) (* 3 (/ (pow w 2) v))))
(*.f64 v (*.f64 (*.f64 w w) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) v))))
(* v (+ (* -2 (pow w 2)) (* 3 (/ (pow w 2) v))))
(*.f64 v (*.f64 (*.f64 w w) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) v))))
(* v (+ (* -2 (pow w 2)) (* 3 (/ (pow w 2) v))))
(*.f64 v (*.f64 (*.f64 w w) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) v))))
(* -2 (* v (pow w 2)))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 w w) v))
(* -1 (* v (+ (* -3 (/ (pow w 2) v)) (* 2 (pow w 2)))))
(*.f64 v (*.f64 (*.f64 w w) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) v))))
(* -1 (* v (+ (* -3 (/ (pow w 2) v)) (* 2 (pow w 2)))))
(*.f64 v (*.f64 (*.f64 w w) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) v))))
(* -1 (* v (+ (* -3 (/ (pow w 2) v)) (* 2 (pow w 2)))))
(*.f64 v (*.f64 (*.f64 w w) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) v))))
(* (pow w 2) (+ 3 (* -2 v)))
(*.f64 w (*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))
(* (pow w 2) (+ 3 (* -2 v)))
(*.f64 w (*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))
(* (pow w 2) (+ 3 (* -2 v)))
(*.f64 w (*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))
(* (pow w 2) (+ 3 (* -2 v)))
(*.f64 w (*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))
(* (pow w 2) (+ 3 (* -2 v)))
(*.f64 w (*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))
(* (pow w 2) (+ 3 (* -2 v)))
(*.f64 w (*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))
(* (pow w 2) (+ 3 (* -2 v)))
(*.f64 w (*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))
(* (pow w 2) (+ 3 (* -2 v)))
(*.f64 w (*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))
(* (pow w 2) (+ 3 (* -2 v)))
(*.f64 w (*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))
(* (pow w 2) (+ 3 (* -2 v)))
(*.f64 w (*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))
(* (pow w 2) (+ 3 (* -2 v)))
(*.f64 w (*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))
(* (pow w 2) (+ 3 (* -2 v)))
(*.f64 w (*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))
(* 3 w)
(*.f64 w #s(literal 3 binary64))
(+ (* -2 (* v w)) (* 3 w))
(*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))
(+ (* -2 (* v w)) (* 3 w))
(*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))
(+ (* -2 (* v w)) (* 3 w))
(*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))
(* -2 (* v w))
(*.f64 w (*.f64 #s(literal -2 binary64) v))
(* v (+ (* -2 w) (* 3 (/ w v))))
(*.f64 v (*.f64 w (+.f64 (/.f64 #s(literal 3 binary64) v) #s(literal -2 binary64))))
(* v (+ (* -2 w) (* 3 (/ w v))))
(*.f64 v (*.f64 w (+.f64 (/.f64 #s(literal 3 binary64) v) #s(literal -2 binary64))))
(* v (+ (* -2 w) (* 3 (/ w v))))
(*.f64 v (*.f64 w (+.f64 (/.f64 #s(literal 3 binary64) v) #s(literal -2 binary64))))
(* -2 (* v w))
(*.f64 w (*.f64 #s(literal -2 binary64) v))
(* -1 (* v (+ (* -3 (/ w v)) (* 2 w))))
(*.f64 v (*.f64 w (+.f64 (/.f64 #s(literal 3 binary64) v) #s(literal -2 binary64))))
(* -1 (* v (+ (* -3 (/ w v)) (* 2 w))))
(*.f64 v (*.f64 w (+.f64 (/.f64 #s(literal 3 binary64) v) #s(literal -2 binary64))))
(* -1 (* v (+ (* -3 (/ w v)) (* 2 w))))
(*.f64 v (*.f64 w (+.f64 (/.f64 #s(literal 3 binary64) v) #s(literal -2 binary64))))
(* w (+ 3 (* -2 v)))
(*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))
(* w (+ 3 (* -2 v)))
(*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))
(* w (+ 3 (* -2 v)))
(*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))
(* w (+ 3 (* -2 v)))
(*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))
(* w (+ 3 (* -2 v)))
(*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))
(* w (+ 3 (* -2 v)))
(*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))
(* w (+ 3 (* -2 v)))
(*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))
(* w (+ 3 (* -2 v)))
(*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))
(* w (+ 3 (* -2 v)))
(*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))
(* w (+ 3 (* -2 v)))
(*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))
(* w (+ 3 (* -2 v)))
(*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))
(* w (+ 3 (* -2 v)))
(*.f64 w (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))

eval200.0ms (1.5%)

Memory
-40.2MiB live, 286.3MiB allocated
Compiler

Compiled 45 352 to 2 794 computations (93.8% saved)

prune144.0ms (1%)

Memory
10.8MiB live, 331.3MiB allocated
Pruning

27 alts after pruning (22 fresh and 5 done)

PrunedKeptTotal
New1 27381 281
Fresh61420
Picked325
Done033
Total1 282271 309
Accuracy
100.0%
Counts
1 309 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.8%
(fma.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
73.3%
(fma.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) r) (*.f64 r (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
78.5%
(fma.f64 (*.f64 (*.f64 r w) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) r (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
▶85.3%
(fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
42.5%
(fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))
▶92.9%
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
45.3%
(/.f64 (fma.f64 (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))) #s(literal -9/4 binary64)) r (*.f64 (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) r))) (*.f64 (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal 3/2 binary64)) r))
▶42.8%
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
✓42.8%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓96.1%
(-.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))
52.0%
(-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64))
45.7%
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
75.1%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
57.1%
(-.f64 (-.f64 #s(literal 3 binary64) (*.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))
80.8%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))
▶81.2%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))
✓57.2%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
✓88.1%
(+.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))))
58.4%
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))
✓42.7%
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
40.6%
(*.f64 (*.f64 (*.f64 r #s(literal -1/8 binary64)) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) (/.f64 w (-.f64 #s(literal 1 binary64) v)))) r)
29.5%
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))
29.9%
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
19.5%
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/8 binary64) v))
36.9%
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))
34.0%
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
▶15.3%
#s(literal -3/2 binary64)
Compiler

Compiled 933 to 599 computations (35.8% saved)

simplify35.0ms (0.3%)

Memory
28.6MiB live, 68.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓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 r (*.f64 (*.f64 r w) w)) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))
✓cost-diff128
(-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64))
✓cost-diff0
(*.f64 r r)
✓cost-diff0
(*.f64 #s(literal -3/8 binary64) (*.f64 r r))
✓cost-diff0
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w)
✓cost-diff0
(fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
✓cost-diff0
(/.f64 #s(literal 2 binary64) r)
✓cost-diff384
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
✓cost-diff0
(*.f64 r w)
✓cost-diff0
(*.f64 r (*.f64 r w))
✓cost-diff0
(*.f64 w #s(literal -1/4 binary64))
✓cost-diff0
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
Rules
1 152×lower-fma.f32
1 146×lower-fma.f64
830×lower-*.f32
812×lower-*.f64
624×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027178
048178
186178
2186178
3444178
4761178
51041178
61041178
01041175
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(*.f64 w #s(literal -1/4 binary64))
w
#s(literal -1/4 binary64)
(*.f64 r (*.f64 r w))
r
(*.f64 r w)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
#s(literal -3/2 binary64)
#s(literal -3/2 binary64)
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(/.f64 #s(literal 2 binary64) r)
#s(literal 2 binary64)
r
(fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w)
(*.f64 #s(literal -3/8 binary64) (*.f64 r r))
#s(literal -3/8 binary64)
(*.f64 r r)
r
w
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
#s(literal -3/2 binary64)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))
(*.f64 r (*.f64 (*.f64 r w) w))
(*.f64 (*.f64 r w) w)
(*.f64 r w)
w
(-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64))
(*.f64 v #s(literal -1/8 binary64))
v
#s(literal -1/8 binary64)
#s(literal 3/8 binary64)
#s(literal -3/2 binary64)
Outputs
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w r) (*.f64 #s(literal -1/4 binary64) (*.f64 w r)) #s(literal -3/2 binary64)))
(*.f64 w #s(literal -1/4 binary64))
w
#s(literal -1/4 binary64)
(*.f64 r (*.f64 r w))
(*.f64 w (*.f64 r r))
r
(*.f64 r w)
(*.f64 w r)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
#s(literal -3/2 binary64)
#s(literal -3/2 binary64)
(/.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
(fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) #s(literal -3/2 binary64)))
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w)
(*.f64 w (*.f64 (*.f64 r r) #s(literal -3/8 binary64)))
(*.f64 #s(literal -3/8 binary64) (*.f64 r r))
(*.f64 (*.f64 r r) #s(literal -3/8 binary64))
#s(literal -3/8 binary64)
(*.f64 r r)
r
w
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
#s(literal -3/2 binary64)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #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 r (*.f64 (*.f64 r w) w)) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))
(fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal -3/2 binary64))
(*.f64 r (*.f64 (*.f64 r w) w))
(*.f64 r (*.f64 w (*.f64 w r)))
(*.f64 (*.f64 r w) w)
(*.f64 w (*.f64 w r))
(*.f64 r w)
(*.f64 w r)
w
(-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64))
(fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))
(*.f64 v #s(literal -1/8 binary64))
v
#s(literal -1/8 binary64)
#s(literal 3/8 binary64)
#s(literal -3/2 binary64)

localize100.0ms (0.7%)

Memory
-25.4MiB live, 179.9MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))
✓accuracy99.8%
(*.f64 (*.f64 r w) w)
✓accuracy99.6%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓accuracy94.9%
(*.f64 r (*.f64 (*.f64 r w) w))
✓accuracy99.8%
(*.f64 #s(literal -3/8 binary64) (*.f64 r r))
✓accuracy99.6%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓accuracy97.1%
(fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
✓accuracy88.3%
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w)
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) r)
✓accuracy99.8%
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
✓accuracy100.0%
(*.f64 r r)
✓accuracy99.8%
(*.f64 r (*.f64 r w))
✓accuracy99.6%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓accuracy97.1%
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
Samples
55.0ms256×0valid
Compiler

Compiled 184 to 32 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 24.0ms (67.3% of total)
ival-div: 5.0ms (14% of total)
ival-add: 5.0ms (14% of total)
ival-sub: 1.0ms (2.8% of total)
exact: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
-15.0MiB live, 22.0MiB allocated
Counts
16 → 324
Calls
Call 1
Inputs
#<alt (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))>
#<alt (*.f64 w #s(literal -1/4 binary64))>
#<alt (*.f64 r (*.f64 r w))>
#<alt (*.f64 r w)>
#<alt (/.f64 (/.f64 #s(literal 2 binary64) r) r)>
#<alt (/.f64 #s(literal 2 binary64) r)>
#<alt (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))>
#<alt (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w)>
#<alt (*.f64 #s(literal -3/8 binary64) (*.f64 r r))>
#<alt (*.f64 r r)>
#<alt (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64))>
#<alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 r r))>
#<alt (*.f64 r (*.f64 (*.f64 r w) w))>
#<alt (*.f64 (*.f64 r w) w)>
#<alt (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))>
Outputs
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 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) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 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 (* (pow r 2) 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 (* r w)>
#<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 (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<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 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (* (pow r 2) w))>
#<alt (* -3/8 (pow r 2))>
#<alt (* -3/8 (pow r 2))>
#<alt (* -3/8 (pow r 2))>
#<alt (* -3/8 (pow r 2))>
#<alt (* -3/8 (pow r 2))>
#<alt (* -3/8 (pow r 2))>
#<alt (* -3/8 (pow r 2))>
#<alt (* -3/8 (pow r 2))>
#<alt (* -3/8 (pow r 2))>
#<alt (* -3/8 (pow r 2))>
#<alt (* -3/8 (pow r 2))>
#<alt (* -3/8 (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 -3/8>
#<alt (- (* -1/8 v) 3/8)>
#<alt (- (* -1/8 v) 3/8)>
#<alt (- (* -1/8 v) 3/8)>
#<alt (* -1/8 v)>
#<alt (* -1 (* v (+ 1/8 (* 3/8 (/ 1 v)))))>
#<alt (* -1 (* v (+ 1/8 (* 3/8 (/ 1 v)))))>
#<alt (* -1 (* v (+ 1/8 (* 3/8 (/ 1 v)))))>
#<alt (* -1/8 v)>
#<alt (* -1 (* v (+ 1/8 (* 3/8 (/ 1 v)))))>
#<alt (* -1 (* v (+ 1/8 (* 3/8 (/ 1 v)))))>
#<alt (* -1 (* v (+ 1/8 (* 3/8 (/ 1 v)))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2))) (pow r 2))>
#<alt (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))>
#<alt (* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))>
#<alt (* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))) 3/2)>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))) 3/2)>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))) 3/2)>
#<alt (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))>
#<alt (* (pow w 2) (- (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))>
#<alt (* (pow w 2) (- (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 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))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) 3/2)>
#<alt (* -1/8 (* (pow r 2) (* v (pow w 2))))>
#<alt (* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (* (pow r 2) (pow w 2))) (/ 2 (* (pow r 2) v)))) (* 3/2 (/ 1 v))))>
#<alt (* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (* (pow r 2) (pow w 2))) (/ 2 (* (pow r 2) v)))) (* 3/2 (/ 1 v))))>
#<alt (* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (* (pow r 2) (pow w 2))) (/ 2 (* (pow r 2) v)))) (* 3/2 (/ 1 v))))>
#<alt (* -1/8 (* (pow r 2) (* v (pow w 2))))>
#<alt (* -1 (* v (+ (* -1 (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))>
#<alt (* -1 (* v (+ (* -1 (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))>
#<alt (* -1 (* v (+ (* -1 (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))>
#<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) (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 (* 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 -3/2>
#<alt (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)>
#<alt (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)>
#<alt (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)>
#<alt (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))>
#<alt (* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))>
#<alt (* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt -3/2>
#<alt (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)>
#<alt (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)>
#<alt (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)>
#<alt (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))>
#<alt (* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))>
#<alt (* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -1/8 (* (pow r 2) (* v (pow w 2))))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -1/8 (* (pow r 2) (* v (pow w 2))))) 3/2)>
#<alt (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -1/8 (* (pow r 2) (* v (pow w 2))))) 3/2)>
#<alt (* -1/8 (* (pow r 2) (* v (pow w 2))))>
#<alt (* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 v))))>
#<alt (* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 v))))>
#<alt (* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 v))))>
#<alt (* -1/8 (* (pow r 2) (* v (pow w 2))))>
#<alt (* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))>
#<alt (* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))>
#<alt (* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))>
Calls

81 calls:

TimeVariablePointExpression
0.0ms
r
@inf
(* -3/8 (* r r))
0.0ms
w
@-inf
(* w -1/4)
0.0ms
w
@-inf
(* r (* r w))
0.0ms
w
@0
(* r w)
0.0ms
w
@0
(* (* -3/8 (* r r)) w)

rewrite520.0ms (3.8%)

Memory
29.6MiB live, 826.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
10 220×lower-fma.f32
10 214×lower-fma.f64
4 406×lower-/.f32
4 400×lower-/.f64
3 732×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027122
048122
1178122
21601114
08227106
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 529
Calls
Call 1
Inputs
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(*.f64 w #s(literal -1/4 binary64))
(*.f64 r (*.f64 r w))
(*.f64 r w)
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(/.f64 #s(literal 2 binary64) r)
(fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w)
(*.f64 #s(literal -3/8 binary64) (*.f64 r r))
(*.f64 r r)
(-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(*.f64 r (*.f64 (*.f64 r w) w))
(*.f64 (*.f64 r w) w)
(fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))
Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r))) (/.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 -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(+.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) (*.f64 w (*.f64 w (*.f64 r r)))) #s(literal 1/16 binary64)) (+.f64 (fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r r))) (/.f64 #s(literal -2 binary64) (*.f64 r r))) #s(literal 3/2 binary64))) (neg.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 (fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r r))) (/.f64 #s(literal -2 binary64) (*.f64 r r))) #s(literal 3/2 binary64)))))
(+.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) (*.f64 w (*.f64 w (*.f64 r r)))) #s(literal 1/16 binary64)) (+.f64 (fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r r))) (/.f64 #s(literal -2 binary64) (*.f64 r r))) #s(literal 3/2 binary64))) (/.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 (fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r r))) (/.f64 #s(literal -2 binary64) (*.f64 r r))) #s(literal 3/2 binary64))))
(-.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r))) #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 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))) (/.f64 (*.f64 (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) (*.f64 w (*.f64 w (*.f64 r r)))) #s(literal 1/16 binary64)) (-.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (+.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 3/2 binary64))) (/.f64 #s(literal 9/4 binary64) (+.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 3/2 binary64))))
(fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r r))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 w (*.f64 r r)) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 r (*.f64 (*.f64 w r) (*.f64 w #s(literal -1/4 binary64))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 w r) (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w #s(literal -1/4 binary64)) (-.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) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -1/4 binary64))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 1 binary64) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))
(fma.f64 (*.f64 w (*.f64 w (*.f64 r r))) #s(literal -1/4 binary64) (-.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) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))
(fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) r)) r) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))
(fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 #s(literal -1 binary64) r) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))
(fma.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r)))) #s(literal -27/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -3 binary64) (*.f64 r r))))) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))
(fma.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r)))) #s(literal -27/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (*.f64 r (*.f64 r #s(literal 1/2 binary64)))))) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))
(fma.f64 (*.f64 (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) (*.f64 w (*.f64 w (*.f64 r r)))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r r))) (/.f64 #s(literal -2 binary64) (*.f64 r r))) #s(literal 3/2 binary64))) (neg.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 (fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r r))) (/.f64 #s(literal -2 binary64) (*.f64 r r))) #s(literal 3/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal 2 binary64) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))
(fma.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 2 binary64) r) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))
(fma.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (/.f64 #s(literal 1 binary64) r) #s(literal 1/2 binary64)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))
(fma.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal -9/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))
(fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) (*.f64 w r) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r r))) w (-.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)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r (*.f64 r #s(literal 1/2 binary64))))) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r))))))
(fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r)))) #s(literal -27/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -3 binary64) (*.f64 r r)))))) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))
(fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal -9/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 r r) (*.f64 r r))) (*.f64 (*.f64 w (*.f64 w w)) (*.f64 w (*.f64 w w)))) #s(literal -1/64 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 (*.f64 w (*.f64 w (*.f64 r r))) (*.f64 w (*.f64 w (*.f64 r r)))) #s(literal 1/16 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r)))) (*.f64 r (*.f64 r #s(literal 1/2 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 #s(literal -1/4 binary64) (*.f64 w (*.f64 w (*.f64 r r)))))
(fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) (*.f64 w (*.f64 w (*.f64 r r)))) #s(literal 1/16 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (fma.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r r))) (/.f64 #s(literal -2 binary64) (*.f64 r r)))) #s(literal -3/2 binary64))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal -3/2 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 w (*.f64 r r)) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) (*.f64 (*.f64 w (*.f64 r r)) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))))) #s(literal -27/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) (*.f64 (*.f64 w (*.f64 r r)) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))) #s(literal 9/4 binary64)) (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) #s(literal -3/2 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 w (*.f64 r r)) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) (*.f64 (*.f64 w (*.f64 r r)) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))))) #s(literal -27/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/4 binary64) (-.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) (*.f64 (*.f64 w (*.f64 r r)) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))))) (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) #s(literal -3/2 binary64)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
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simplify646.0ms (4.7%)

Memory
10.8MiB live, 908.5MiB allocated
Algorithm
1×egg-herbie
Rules
26 150×lower-fma.f64
26 150×lower-fma.f32
4 468×lower-*.f64
4 468×lower-*.f32
3 348×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01283152
13253152
29623152
328582896
469522896
080342698
Stop Event
1×iter limit
1×node limit
Counts
324 → 324
Calls
Call 1
Inputs
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* (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)
(* 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 (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 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 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)))))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -3/8 (* (pow r 2) w))
(* -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 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)
-3/8
(- (* -1/8 v) 3/8)
(- (* -1/8 v) 3/8)
(- (* -1/8 v) 3/8)
(* -1/8 v)
(* -1 (* v (+ 1/8 (* 3/8 (/ 1 v)))))
(* -1 (* v (+ 1/8 (* 3/8 (/ 1 v)))))
(* -1 (* v (+ 1/8 (* 3/8 (/ 1 v)))))
(* -1/8 v)
(* -1 (* v (+ 1/8 (* 3/8 (/ 1 v)))))
(* -1 (* v (+ 1/8 (* 3/8 (/ 1 v)))))
(* -1 (* v (+ 1/8 (* 3/8 (/ 1 v)))))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2))) (pow r 2))
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* 2 (/ 1 (pow r 2))) (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))) 3/2)
(- (+ (* 2 (/ 1 (pow r 2))) (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))) 3/2)
(- (+ (* 2 (/ 1 (pow r 2))) (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))) 3/2)
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))
(* (pow w 2) (- (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))
(* (pow w 2) (- (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) 3/2)
(* -1/8 (* (pow r 2) (* v (pow w 2))))
(* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (* (pow r 2) (pow w 2))) (/ 2 (* (pow r 2) v)))) (* 3/2 (/ 1 v))))
(* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (* (pow r 2) (pow w 2))) (/ 2 (* (pow r 2) v)))) (* 3/2 (/ 1 v))))
(* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (* (pow r 2) (pow w 2))) (/ 2 (* (pow r 2) v)))) (* 3/2 (/ 1 v))))
(* -1/8 (* (pow r 2) (* v (pow w 2))))
(* -1 (* v (+ (* -1 (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -1 (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -1 (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(/ 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 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))
(* 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))
-3/2
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2)))))
-3/2
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2)
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))
(* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8)))
(* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* (pow r 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow w 2)))))
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -1/8 (* (pow r 2) (* v (pow w 2))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -1/8 (* (pow r 2) (* v (pow w 2))))) 3/2)
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -1/8 (* (pow r 2) (* v (pow w 2))))) 3/2)
(* -1/8 (* (pow r 2) (* v (pow w 2))))
(* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 v))))
(* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 v))))
(* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 v))))
(* -1/8 (* (pow r 2) (* v (pow w 2))))
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
Outputs
(- (* 2 (/ 1 (pow r 2))) 3/2)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(* -1/4 (* (pow r 2) (pow w 2)))
(*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64)))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(fma.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal -3/2 binary64))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(fma.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal -3/2 binary64))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(fma.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal -3/2 binary64))
(* -1/4 (* (pow r 2) (pow w 2)))
(*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64)))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(fma.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal -3/2 binary64))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(fma.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal -3/2 binary64))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(fma.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal -3/2 binary64))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))
(* -1/4 (* (pow r 2) (pow w 2)))
(*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64)))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
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(fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))) #s(literal -3/2 binary64))
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))) #s(literal -3/2 binary64))
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2))))))
(fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))) #s(literal -3/2 binary64))

eval157.0ms (1.1%)

Memory
-13.1MiB live, 292.9MiB allocated
Compiler

Compiled 34 642 to 1 589 computations (95.4% saved)

prune197.0ms (1.4%)

Memory
-15.3MiB live, 222.4MiB allocated
Pruning

24 alts after pruning (16 fresh and 8 done)

PrunedKeptTotal
New1 03081 038
Fresh9817
Picked235
Done055
Total1 041241 065
Accuracy
100.0%
Counts
1 065 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.7%
(fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w r)) r) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
93.9%
(fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) (*.f64 w r) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
58.4%
(fma.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal -3/2 binary64))
✓92.9%
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
92.1%
(fma.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w (*.f64 w r)) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
48.7%
(fma.f64 r (*.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) r) #s(literal -3/2 binary64))
47.0%
(/.f64 (fma.f64 (fma.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) (*.f64 (*.f64 w (*.f64 r r)) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))) #s(literal -9/4 binary64)) r (/.f64 (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal 3/2 binary64)) (*.f64 r #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal 3/2 binary64)) r))
✓42.8%
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
✓42.8%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓96.1%
(-.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))
52.0%
(-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64))
45.7%
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
57.1%
(-.f64 (-.f64 #s(literal 3 binary64) (*.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))
92.1%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) #s(literal -3/8 binary64) #s(literal -3/2 binary64)))
✓57.2%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
✓88.1%
(+.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))))
✓42.7%
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
40.6%
(*.f64 (*.f64 (*.f64 r #s(literal -1/8 binary64)) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) (/.f64 w (-.f64 #s(literal 1 binary64) v)))) r)
29.5%
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))
29.9%
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
36.9%
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))
34.0%
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
37.7%
(*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64)))
✓15.3%
#s(literal -3/2 binary64)
Compiler

Compiled 1 467 to 497 computations (66.1% saved)

regimes92.0ms (0.7%)

Memory
27.3MiB live, 177.2MiB allocated
Counts
55 → 2
Calls
Call 1
Inputs
#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 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))
(fma.f64 r (*.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) r) #s(literal -3/2 binary64))
(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) r) r)
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/8 binary64) v))
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) #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)))
(fma.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w (*.f64 w r)) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 r #s(literal -1/4 binary64)) (*.f64 r (*.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) (*.f64 w r) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w r)) r) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64))
(*.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))))
(*.f64 (*.f64 (*.f64 r #s(literal -1/8 binary64)) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) (/.f64 w (-.f64 #s(literal 1 binary64) v)))) r)
(fma.f64 (*.f64 (*.f64 r w) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) r (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) r) (*.f64 r (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r w)) (*.f64 r w) (+.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 (*.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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal -3/2 binary64))
(-.f64 (fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) #s(literal 9/2 binary64))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))
(-.f64 (-.f64 #s(literal 3 binary64) (*.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)) (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 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
(-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) v) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (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 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.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))))
(-.f64 (fma.f64 (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64))
(*.f64 (*.f64 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 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal -8 binary64) #s(literal 27 binary64)) (*.f64 r (*.f64 r (*.f64 w w)))) (*.f64 (-.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 v #s(literal -6 binary64))) (-.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 (fma.f64 (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))) #s(literal -9/4 binary64)) r (*.f64 (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) r))) (*.f64 (fma.f64 (*.f64 r (*.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal 3/2 binary64)) r))
(/.f64 (fma.f64 (fma.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 (*.f64 w (*.f64 w (*.f64 r r))) (*.f64 (*.f64 w (*.f64 r r)) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))) #s(literal -9/4 binary64)) r (/.f64 (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal 3/2 binary64)) (*.f64 r #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (*.f64 w (*.f64 r r)) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))) #s(literal 3/2 binary64)) r))
Outputs
(+.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 (fma.f64 (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/8 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))
Calls

6 calls:

17.0ms
w
16.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
16.0ms
v
14.0ms
r
14.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Results
AccuracySegmentsBranch
97.9%1v
99.8%2w
99.8%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)

regimes36.0ms (0.3%)

Memory
-20.7MiB live, 78.1MiB allocated
Counts
50 → 2
Calls
Call 1
Inputs
#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 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))
(fma.f64 r (*.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) r) #s(literal -3/2 binary64))
(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) r) r)
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/8 binary64) v))
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) #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)))
(fma.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w (*.f64 w r)) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 r #s(literal -1/4 binary64)) (*.f64 r (*.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) (*.f64 w r) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w r)) r) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64))
(*.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))))
(*.f64 (*.f64 (*.f64 r #s(literal -1/8 binary64)) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) (/.f64 w (-.f64 #s(literal 1 binary64) v)))) r)
(fma.f64 (*.f64 (*.f64 r w) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) r (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) r) (*.f64 r (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r w)) (*.f64 r w) (+.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 (*.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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal -3/2 binary64))
(-.f64 (fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) #s(literal 9/2 binary64))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))
(-.f64 (-.f64 #s(literal 3 binary64) (*.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)) (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 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
(-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) v) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (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 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.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))))
Outputs
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(-.f64 (+.f64 #s(literal 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)))
Calls

2 calls:

19.0ms
w
15.0ms
r
Results
AccuracySegmentsBranch
99.8%2w
99.8%2r
Compiler

Compiled 8 to 6 computations (25% saved)

regimes115.0ms (0.8%)

Memory
-18.7MiB live, 138.9MiB allocated
Counts
45 → 2
Calls
Call 1
Inputs
#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 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))
(fma.f64 r (*.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) r) #s(literal -3/2 binary64))
(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) r) r)
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/8 binary64) v))
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) #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)))
(fma.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w (*.f64 w r)) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 r #s(literal -1/4 binary64)) (*.f64 r (*.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) (*.f64 w r) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w r)) r) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64))
(*.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))))
(*.f64 (*.f64 (*.f64 r #s(literal -1/8 binary64)) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) (/.f64 w (-.f64 #s(literal 1 binary64) v)))) r)
(fma.f64 (*.f64 (*.f64 r w) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) r (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) r) (*.f64 r (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r w)) (*.f64 r w) (+.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 (*.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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal -3/2 binary64))
(-.f64 (fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) #s(literal 9/2 binary64))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))
(-.f64 (-.f64 #s(literal 3 binary64) (*.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)) (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 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 (*.f64 w w) #s(literal 3/8 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
(-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) v) (/.f64 (*.f64 #s(literal 1/8 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))
Outputs
(fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w r)) r) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(-.f64 (-.f64 #s(literal 3 binary64) (*.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))
Calls

6 calls:

34.0ms
v
31.0ms
(-.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)))
13.0ms
r
12.0ms
(*.f64 w w)
12.0ms
w
Results
AccuracySegmentsBranch
99.3%3v
99.6%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))
99.6%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)))
97.5%3(*.f64 w w)
97.5%3w
99.2%2r
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes44.0ms (0.3%)

Memory
9.5MiB live, 86.4MiB allocated
Counts
39 → 3
Calls
Call 1
Inputs
#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 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))
(fma.f64 r (*.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) r) #s(literal -3/2 binary64))
(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) r) r)
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/8 binary64) v))
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) #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)))
(fma.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w (*.f64 w r)) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 r #s(literal -1/4 binary64)) (*.f64 r (*.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) (*.f64 w r) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w r)) r) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64))
(*.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))))
(*.f64 (*.f64 (*.f64 r #s(literal -1/8 binary64)) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) (/.f64 w (-.f64 #s(literal 1 binary64) v)))) r)
(fma.f64 (*.f64 (*.f64 r w) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) r (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) r) (*.f64 r (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r w)) (*.f64 r w) (+.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 (*.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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) #s(literal -3/2 binary64))
(-.f64 (fma.f64 (*.f64 r r) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) #s(literal 9/2 binary64))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 w w) (fma.f64 r (*.f64 r #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))))
Outputs
(fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) (*.f64 w r) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
Calls

4 calls:

12.0ms
v
11.0ms
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 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Results
AccuracySegmentsBranch
99.3%3v
97.7%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))
97.7%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)))
96.8%2r
Compiler

Compiled 70 to 48 computations (31.4% saved)

regimes21.0ms (0.2%)

Memory
11.4MiB live, 49.6MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
#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 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))
(fma.f64 r (*.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) r) #s(literal -3/2 binary64))
(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) r) r)
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/8 binary64) v))
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) #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)))
(fma.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w (*.f64 w r)) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 r #s(literal -1/4 binary64)) (*.f64 r (*.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) (*.f64 w r) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w r)) r) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64))
(*.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))))
(*.f64 (*.f64 (*.f64 r #s(literal -1/8 binary64)) (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) (/.f64 w (-.f64 #s(literal 1 binary64) v)))) r)
(fma.f64 (*.f64 (*.f64 r w) (*.f64 w (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))) r (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) r) (*.f64 r (*.f64 w w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
Outputs
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) #s(literal -3/8 binary64) #s(literal -3/2 binary64)))
Calls

2 calls:

10.0ms
r
9.0ms
v
Results
AccuracySegmentsBranch
96.8%2r
98.1%3v
Compiler

Compiled 8 to 6 computations (25% saved)

regimes40.0ms (0.3%)

Memory
4.0MiB live, 79.1MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#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 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))
(fma.f64 r (*.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) r) #s(literal -3/2 binary64))
(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) r) r)
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/8 binary64) v))
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64)))
Outputs
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 r (*.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) r) #s(literal -3/2 binary64))
Calls

6 calls:

9.0ms
w
8.0ms
v
6.0ms
r
5.0ms
(*.f64 w w)
5.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Results
AccuracySegmentsBranch
93.3%2w
93.3%2(*.f64 w w)
92.2%2(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
92.2%2(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
88.1%1v
94.3%2r
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes93.0ms (0.7%)

Memory
-8.1MiB live, 67.5MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#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 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))
(fma.f64 r (*.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) r) #s(literal -3/2 binary64))
(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) r) r)
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/8 binary64) v))
(*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
Outputs
(*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64)))
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
Calls

5 calls:

70.0ms
(-.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
(*.f64 w w)
5.0ms
w
5.0ms
r
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
90.8%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))
90.8%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)))
70.2%2w
70.2%2(*.f64 w w)
87.0%2r
Compiler

Compiled 76 to 52 computations (31.6% saved)

regimes54.0ms (0.4%)

Memory
-8.0MiB live, 34.3MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#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 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
Outputs
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
Calls

6 calls:

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

Compiled 80 to 55 computations (31.3% saved)

regimes10.0ms (0.1%)

Memory
25.8MiB live, 25.8MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
Outputs
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal -3/2 binary64)
Calls

6 calls:

2.0ms
r
2.0ms
w
2.0ms
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)))
1.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Results
AccuracySegmentsBranch
44.7%2w
42.8%1(*.f64 w w)
42.8%1v
55.2%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))
55.2%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)))
56.7%2r
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes11.0ms (0.1%)

Memory
-9.4MiB live, 25.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -3/2 binary64)
Outputs
#s(literal -3/2 binary64)
Calls

6 calls:

4.0ms
w
1.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
1.0ms
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)))
1.0ms
r
Results
AccuracySegmentsBranch
15.3%1v
15.3%1(*.f64 w w)
15.3%1w
15.3%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))
15.3%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)))
15.3%1r
Compiler

Compiled 80 to 55 computations (31.3% saved)

bsearch16.0ms (0.1%)

Memory
-3.4MiB live, 33.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
11.0ms
4.03636303437735e-89
1.2997260650664673e-86
Samples
8.0ms80×0valid
Compiler

Compiled 300 to 213 computations (29% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (50.9% of total)
ival-div: 1.0ms (17% of total)
ival-sub: 1.0ms (17% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
1.0ms
4.03636303437735e-89
1.2997260650664673e-86
Compiler

Compiled 290 to 203 computations (30% saved)

bsearch26.0ms (0.2%)

Memory
19.8MiB live, 57.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
22.0ms
10806801.77113955
826109489063543.5
Samples
14.0ms144×0valid
Compiler

Compiled 449 to 325 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (47.1% of total)
ival-div: 2.0ms (18.8% of total)
ival-sub: 2.0ms (18.8% of total)
ival-add: 1.0ms (9.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch44.0ms (0.3%)

Memory
-28.4MiB live, 56.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
8.912878903612678e-134
1.6283052488461619e-133
23.0ms
-2085.8077159023915
-882.6700040631719
Samples
26.0ms144×0valid
Compiler

Compiled 422 to 289 computations (31.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 17.0ms (75.6% of total)
ival-div: 2.0ms (8.9% of total)
ival-sub: 2.0ms (8.9% of total)
ival-add: 1.0ms (4.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Memory
5.9MiB live, 43.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
5.846954791744778e+149
2.4236320092350908e+150
Samples
10.0ms96×0valid
Compiler

Compiled 275 to 190 computations (30.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (56.2% of total)
ival-sub: 2.0ms (28.1% of total)
ival-div: 1.0ms (14.1% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.846954791744778e+149
2.4236320092350908e+150
Compiler

Compiled 239 to 166 computations (30.5% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-3.287440287665931e+50
3.0
Compiler

Compiled 35 to 28 computations (20% saved)

bsearch23.0ms (0.2%)

Memory
16.9MiB live, 53.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
0.024913375547161283
14.145589163391147
Samples
15.0ms128×0valid
Compiler

Compiled 147 to 124 computations (15.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (52.9% of total)
ival-div: 2.0ms (21.2% of total)
ival-sub: 2.0ms (21.2% of total)
ival-add: 1.0ms (10.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify32.0ms (0.2%)

Memory
-9.0MiB live, 35.6MiB allocated
Algorithm
1×egg-herbie
Rules
240×unsub-neg_binary64
160×neg-mul-1_binary64
114×*-commutative_binary64
98×distribute-neg-out_binary64
94×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100327
1158327
2207327
3260327
4324327
5392327
6444327
7569327
8700327
9718327
10719327
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 r #s(literal 5599361855444511/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (-.f64 (fma.f64 (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/8 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)))
(if (<=.f64 r #s(literal 5599361855444511/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (-.f64 (+.f64 #s(literal 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))))
(if (<=.f64 r #s(literal 660000000 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w r)) r) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (-.f64 (-.f64 #s(literal 3 binary64) (*.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)))
(if (<=.f64 v #s(literal -900 binary64)) (fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) (*.f64 w r) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r)))) (if (<=.f64 v #s(literal 8183476519740355/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) (fma.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))))
(if (<=.f64 r #s(literal 659999999999999998254074338242770588018116327580078418744789185011476978276780852473946178987674810188249120482129647002212065432590215608853050949632 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) #s(literal -3/8 binary64) #s(literal -3/2 binary64))))
(if (<=.f64 r #s(literal 659999999999999998254074338242770588018116327580078418744789185011476978276780852473946178987674810188249120482129647002212065432590215608853050949632 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 r (*.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) 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 -200000000000000015259539682183774006589929941893120 binary64)) (*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64))) (+.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)))
(if (<=.f64 r #s(literal 2589569785738035/2251799813685248 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
Outputs
(if (<=.f64 r #s(literal 5599361855444511/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (-.f64 (fma.f64 (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/8 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)))
(if (<=.f64 r #s(literal 5599361855444511/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (-.f64 (fma.f64 (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64)))
(if (<=.f64 r #s(literal 5599361855444511/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (-.f64 (+.f64 #s(literal 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))))
(if (<=.f64 r #s(literal 5599361855444511/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))
(if (<=.f64 r #s(literal 660000000 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w r)) r) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))) (-.f64 (-.f64 #s(literal 3 binary64) (*.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)))
(if (<=.f64 r #s(literal 660000000 binary64)) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) #s(literal -3/8 binary64))) w (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (-.f64 (+.f64 #s(literal 3 binary64) (*.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 v #s(literal -1 binary64))))) #s(literal 9/2 binary64)))
(if (<=.f64 v #s(literal -900 binary64)) (fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) (*.f64 w r) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r)))) (if (<=.f64 v #s(literal 8183476519740355/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) (fma.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))))
(if (<=.f64 v #s(literal -900 binary64)) (fma.f64 (*.f64 w (*.f64 r #s(literal -1/4 binary64))) (*.f64 r w) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r)))) (if (<=.f64 v #s(literal 8183476519740355/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) (fma.f64 (*.f64 (*.f64 r w) (fma.f64 v #s(literal -1/8 binary64) #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 #s(literal -1/4 binary64) w) (*.f64 r (*.f64 r w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
(if (<=.f64 r #s(literal 659999999999999998254074338242770588018116327580078418744789185011476978276780852473946178987674810188249120482129647002212065432590215608853050949632 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) #s(literal -3/8 binary64) #s(literal -3/2 binary64))))
(if (<=.f64 r #s(literal 659999999999999998254074338242770588018116327580078418744789185011476978276780852473946178987674810188249120482129647002212065432590215608853050949632 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -3/8 binary64) #s(literal -3/2 binary64))))
(if (<=.f64 r #s(literal 659999999999999998254074338242770588018116327580078418744789185011476978276780852473946178987674810188249120482129647002212065432590215608853050949632 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 r (*.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) r) #s(literal -3/2 binary64)))
(if (<=.f64 r #s(literal 659999999999999998254074338242770588018116327580078418744789185011476978276780852473946178987674810188249120482129647002212065432590215608853050949632 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 r (*.f64 r (*.f64 #s(literal -3/8 binary64) (*.f64 w w))) #s(literal -3/2 binary64)))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -200000000000000015259539682183774006589929941893120 binary64)) (*.f64 r (*.f64 (*.f64 r (*.f64 w w)) #s(literal -1/4 binary64))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(if (<=.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 #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 -200000000000000015259539682183774006589929941893120 binary64)) (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w)))) (+.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)))
(if (<=.f64 r #s(literal 2589569785738035/2251799813685248 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
#s(literal -3/2 binary64)

soundness2.0s (14.5%)

Memory
8.2MiB live, 1 508.5MiB allocated
Rules
26 150×lower-fma.f64
26 150×lower-fma.f32
20 032×lower-fma.f64
20 032×lower-fma.f32
14 382×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042272
075272
1320242
22980242
08164230
03479874
110769124
236378636
080988154
01283152
13253152
29623152
328582896
469522896
080342698
03768072
112447660
241396950
084846523
027122
048122
1178122
21601114
08227106
022114
036114
1149104
21353104
0896594
02274018
17453856
225743578
082093390
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 615 to 296 computations (51.9% saved)

preprocess240.0ms (1.7%)

Memory
12.8MiB live, 169.2MiB allocated
Remove

(abs w)

Compiler

Compiled 1 036 to 430 computations (58.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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