Rosa's TurbineBenchmark

Time bar (total: 10.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze158.0ms (1.5%)

Memory
22.0MiB live, 175.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
56.3%56.2%43.7%0.1%0%0%0%7
65.6%65.5%34.3%0.1%0%0%0%8
65.6%65.5%34.3%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
82%81.9%17.9%0.1%0%0%0%11
82%81.9%17.9%0.1%0%0%0%12
Compiler

Compiled 31 to 24 computations (22.6% saved)

sample2.2s (21.1%)

Memory
41.5MiB live, 2 279.8MiB allocated
Samples
1.6s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-mult: 565.0ms (42.7% of total)
ival-sub: 495.0ms (37.4% of total)
ival-div: 160.0ms (12.1% of total)
ival-add: 76.0ms (5.7% of total)
exact: 18.0ms (1.4% of total)
ival-true: 6.0ms (0.5% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain420.0ms (4%)

Memory
-10.8MiB live, 642.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
310-0-(*.f64 (*.f64 w w) r)
140-1(-4.974747842862335e+81 3.781543411102379e-212 -2.7122650143800964e+108)(*.f64 (*.f64 (*.f64 w w) r) r)
110-0-(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
60-0-(*.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))
20-0-(/.f64 #s(literal 2 binary64) (*.f64 r r))
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-#s(literal 9/2 binary64)
00-0-#s(literal 1/8 binary64)
00-0-v
00-0-(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))
00-0-(*.f64 w w)
00-0-(*.f64 r r)
00-0-(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))
00-0-(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
00-0-(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
00-0-(-.f64 #s(literal 1 binary64) v)
00-0-(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
00-0-(*.f64 #s(literal 2 binary64) v)
00-0-#s(literal 2 binary64)
00-0-w
00-0-r
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (*.f64 w w) r)n*o170
/.f64(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))o/n110
↳(*.f64 (*.f64 w w) r)overflow65
↳(*.f64 w w)overflow69
↳(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r))overflow91
↳(*.f64 (*.f64 (*.f64 w w) r) r)overflow80
*.f64(*.f64 (*.f64 w w) r)n*u90
*.f64(*.f64 (*.f64 (*.f64 w w) r) r)n*o70
Confusion
Predicted +Predicted -
+410
-0215
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+4100
-00215
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0215
138
23
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
100.0ms512×0valid
Compiler

Compiled 325 to 70 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-div: 25.0ms (39.2% of total)
ival-mult: 22.0ms (34.5% of total)
ival-sub: 13.0ms (20.4% of total)
ival-add: 2.0ms (3.1% of total)
ival-true: 1.0ms (1.6% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)

preprocess271.0ms (2.6%)

Memory
-7.8MiB live, 236.3MiB 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))
(fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 v #s(literal 1 binary64))) r) w) (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
Symmetry

(abs r)

(abs w)

Compiler

Compiled 29 to 22 computations (24.1% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶84.6%
(-.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 29 to 22 computations (24.1% saved)

simplify248.0ms (2.4%)

Memory
2.2MiB live, 207.3MiB 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))
(fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 v #s(literal 1 binary64))) r) w) (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
(fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 v #s(literal 1 binary64))) r) w) (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) r))
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r))
(*.f64 (*.f64 (*.f64 (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) r) r) w)
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
#s(literal 1/8 binary64)
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) v)
(*.f64 v #s(literal 2 binary64))
v
(*.f64 (*.f64 (*.f64 w w) r) r)
(*.f64 (*.f64 w w) r)
(*.f64 w w)
w
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)

localize61.0ms (0.6%)

Memory
-16.0MiB live, 60.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy1.3317847618045449
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r))
accuracy2.6023855767912836
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
accuracy3.1000334049785456
(*.f64 (*.f64 (*.f64 w w) r) r)
accuracy7.21700614118802
(*.f64 (*.f64 w w) r)
Samples
39.0ms256×0valid
Compiler

Compiled 148 to 24 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 19.0ms (67.8% of total)
ival-sub: 4.0ms (14.3% of total)
ival-div: 3.0ms (10.7% of total)
ival-add: 1.0ms (3.6% of total)
exact: 1.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series48.0ms (0.5%)

Memory
-2.7MiB live, 34.9MiB allocated
Counts
8 → 216
Calls
Call 1
Inputs
#s(alt (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (patch (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) (patch (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 w w) r) (patch (*.f64 (*.f64 w w) r) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 w w) r) r) (patch (*.f64 (*.f64 (*.f64 w w) r) r) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (patch (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) #<representation binary64>) () ())
Outputs
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ())
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Calls

9 calls:

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

simplify211.0ms (2%)

Memory
30.5MiB live, 179.6MiB 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
225853578
082083390
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
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(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
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(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* r (pow w 2))
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(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 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)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
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(* (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)))
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(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
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(* r (pow w 2))
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(* r (pow w 2))
(* r (pow w 2))
(* (pow r 2) (pow w 2))
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(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
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(* r (pow w 2))
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(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
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(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
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(* r (pow w 2))
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(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 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)))))
(* 1/8 (* (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
(+ 3/8 (* -1/4 v))
(+ 3/8 (* -1/4 v))
(+ 3/8 (* -1/4 v))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))
3
(+ 3 (* -2 v))
(+ 3 (* -2 v))
(+ 3 (* -2 v))
(* 3/8 (* (pow r 2) (pow w 2)))
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))
(* 3/8 (* (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 v)
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -2 v)
(* v (- (* 3 (/ 1 v)) 2))
(* v (- (* 3 (/ 1 v)) 2))
(* v (- (* 3 (/ 1 v)) 2))
(* 1/4 (* (pow r 2) (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) (* 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 v)
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(* -2 v)
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
Outputs
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
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(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(fma.f64 (*.f64 (/.f64 (*.f64 w w) (pow.f64 v #s(literal 3 binary64))) (*.f64 (neg.f64 r) r)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) (pow.f64 v #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))))
(* -2 v)
(*.f64 #s(literal -2 binary64) v)
(* v (- (* 3 (/ 1 v)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) v) #s(literal 2 binary64)) v)
(* v (- (* 3 (/ 1 v)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) v) #s(literal 2 binary64)) v)
(* v (- (* 3 (/ 1 v)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) v) #s(literal 2 binary64)) v)
(* 1/4 (* (pow r 2) (pow w 2)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) #s(literal -1/8 binary64)))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (*.f64 (neg.f64 r) (*.f64 r (/.f64 (*.f64 w w) v))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (fma.f64 (*.f64 (neg.f64 r) (*.f64 r (/.f64 (*.f64 w w) v))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/8 binary64)) (pow.f64 v #s(literal 3 binary64)))))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) v) (*.f64 w w))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)
(* -1/4 v)
(*.f64 #s(literal -1/4 binary64) v)
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1 binary64) #s(literal -1/4 binary64)) v)
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1 binary64) #s(literal -1/4 binary64)) v)
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1 binary64) #s(literal -1/4 binary64)) v)
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r))) v) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 3/2 binary64)))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))))
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (+.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r))) v) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 3 binary64)))
(* -2 v)
(*.f64 #s(literal -2 binary64) v)
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) v) #s(literal -1 binary64) #s(literal -2 binary64)) v)
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) v) #s(literal -1 binary64) #s(literal -2 binary64)) v)
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) v) #s(literal -1 binary64) #s(literal -2 binary64)) v)
(* 1/4 (* (pow r 2) (pow w 2)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r))
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) #s(literal -1/8 binary64)))
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (*.f64 (neg.f64 r) (*.f64 r (/.f64 (*.f64 w w) v))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r))) (neg.f64 v)))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) v) (*.f64 w w))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)

rewrite350.0ms (3.4%)

Memory
-31.3MiB live, 271.2MiB allocated
Rules
6 012×lower-*.f32
5 998×lower-*.f64
5 632×lower-fma.f64
5 632×lower-fma.f32
4 766×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022114
036114
1149104
21353104
0896594
Stop Event
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 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r))
Outputs
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eval170.0ms (1.6%)

Memory
22.3MiB live, 182.8MiB allocated
Compiler

Compiled 25 169 to 2 093 computations (91.7% saved)

prune77.0ms (0.7%)

Memory
3.7MiB live, 84.8MiB allocated
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New59619615
Fresh000
Picked101
Done000
Total59719616
Accuracy
100.0%
Counts
616 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.9%
(-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 w w)) #s(literal -1 binary64)) (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64))
55.5%
(-.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 r #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
94.3%
(-.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 r) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
▶95.8%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
84.6%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
66.6%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 #s(approx (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) v) (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
99.8%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
91.5%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
82.9%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
46.8%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
▶99.8%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))))
84.2%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
▶82.9%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
69.6%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r))
▶44.5%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
54.7%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
▶74.0%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
60.4%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 1/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 w w)))) (*.f64 w w)))
37.4%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))))
Compiler

Compiled 846 to 668 computations (21% saved)

simplify207.0ms (2%)

Memory
-25.4MiB live, 136.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 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 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v)))
cost-diff192
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
cost-diff320
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))
cost-diff0
(*.f64 (*.f64 w w) r)
cost-diff0
(fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))
cost-diff0
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
cost-diff0
(*.f64 w w)
cost-diff0
(*.f64 (*.f64 w w) r)
cost-diff0
(fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
cost-diff0
(*.f64 r r)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff0
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))))
cost-diff192
(-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))
cost-diff320
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))
Rules
13 990×lower-fma.f32
13 982×lower-fma.f64
7 200×lower-*.f32
7 180×lower-*.f64
1 740×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059513
092470
1186464
2428452
31607452
45588452
08170433
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))
#s(literal 3 binary64)
(fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))
(/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))
(pow.f64 (*.f64 w r) #s(literal 2 binary64))
(*.f64 w r)
w
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
v
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 1/8 binary64)
#s(literal 9/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
#s(literal -3/8 binary64)
(*.f64 (*.f64 (*.f64 w w) r) r)
(*.f64 (*.f64 w w) r)
(*.f64 w w)
w
r
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
#s(literal 3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))
(*.f64 (*.f64 (*.f64 w w) r) r)
(*.f64 (*.f64 w w) r)
(*.f64 w w)
w
r
(-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))
(/.f64 #s(literal 1/8 binary64) v)
#s(literal 1/8 binary64)
v
#s(literal 1/4 binary64)
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(literal 3 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r)))
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))
#s(literal 1/8 binary64)
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))
(*.f64 #s(literal 2 binary64) v)
v
(*.f64 (*.f64 w r) (*.f64 w r))
(*.f64 w r)
w
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)
Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (-.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
(-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64))
#s(literal 3 binary64)
(fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))
(/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))
(pow.f64 (*.f64 w r) #s(literal 2 binary64))
(*.f64 w r)
w
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
v
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 1/8 binary64)
#s(literal 9/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) #s(literal -3/8 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(fma.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) #s(literal -3/8 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
#s(literal -3/8 binary64)
(*.f64 (*.f64 (*.f64 w w) r) r)
(pow.f64 (*.f64 w r) #s(literal 2 binary64))
(*.f64 (*.f64 w w) r)
(*.f64 w w)
w
r
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
#s(literal 3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))
(fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (pow.f64 (*.f64 w r) #s(literal 2 binary64)) #s(literal -3/2 binary64))
(*.f64 (*.f64 (*.f64 w w) r) r)
(pow.f64 (*.f64 w r) #s(literal 2 binary64))
(*.f64 (*.f64 w w) r)
(*.f64 w w)
w
r
(-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))
(/.f64 #s(literal 1/8 binary64) v)
#s(literal 1/8 binary64)
v
#s(literal 1/4 binary64)
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v)))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (+.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)))
#s(literal 3 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))
(*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r)))
(*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (pow.f64 (*.f64 w r) #s(literal 2 binary64)))
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
#s(literal 1/8 binary64)
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) v)
(*.f64 v #s(literal 2 binary64))
v
(*.f64 (*.f64 w r) (*.f64 w r))
(pow.f64 (*.f64 w r) #s(literal 2 binary64))
(*.f64 w r)
w
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)

localize254.0ms (2.4%)

Memory
0.8MiB live, 190.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.1875
(*.f64 (*.f64 w r) (*.f64 w r))
accuracy0.40131753225158345
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy1.3317847618045449
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r)))
accuracy2.6023855767912836
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))
accuracy0.40131753225158345
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy3.1000334049785456
(*.f64 (*.f64 (*.f64 w w) r) r)
accuracy7.21700614118802
(*.f64 (*.f64 w w) r)
accuracy11.585014200795765
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
accuracy0.40131753225158345
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy3.1000334049785456
(*.f64 (*.f64 (*.f64 w w) r) r)
accuracy4.883003605165334
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
accuracy7.21700614118802
(*.f64 (*.f64 w w) r)
accuracy0
(*.f64 r r)
accuracy0.40131753225158345
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy35.491409219122914
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
accuracy0.078125
(fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))
accuracy0.1875
(pow.f64 (*.f64 w r) #s(literal 2 binary64))
accuracy0.40131753225158345
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy2.3747968825060704
(/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))
Samples
178.0ms256×0valid
Compiler

Compiled 482 to 52 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-add: 53.0ms (51.1% of total)
ival-mult: 21.0ms (20.3% of total)
ival-div: 17.0ms (16.4% of total)
ival-sub: 9.0ms (8.7% of total)
ival-pow2: 2.0ms (1.9% of total)
exact: 1.0ms (1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series86.0ms (0.8%)

Memory
11.0MiB live, 199.9MiB allocated
Counts
24 → 660
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (patch (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) (patch (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())
#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 w w) r) (patch (*.f64 (*.f64 w w) r) #<representation binary64>) () ())
#s(alt (*.f64 w w) (patch (*.f64 w w) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #<representation binary64>) () ())
#s(alt (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (patch (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (patch (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) (patch (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 w r) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) (patch (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 w w) r) r) (patch (*.f64 (*.f64 (*.f64 w w) r) r) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (patch (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 w r) (*.f64 w r)) (patch (*.f64 (*.f64 w r) (*.f64 w r)) #<representation binary64>) () ())
Outputs
#s(alt -3/2 (taylor 0 r) (#s(alt (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) (patch (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) (taylor -inf v) (#s(alt (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) (pow w 2)) v) (* -1 (* (pow r 2) (pow w 2)))) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) (taylor -inf v) (#s(alt (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (+ 9/2 (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) (patch (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 9/2 (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) (taylor -inf v) (#s(alt (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) (patch (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 9/2 (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) (taylor -inf v) (#s(alt (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) (patch (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 9/2 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) (taylor -inf v) (#s(alt (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) (patch (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* (pow r 2) (pow w 2))) (taylor -inf v) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (* (pow r 2) (* v (pow w 2)))) (taylor -inf v) (#s(alt (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (patch (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) (taylor -inf v) (#s(alt (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (patch (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) (taylor -inf v) (#s(alt (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (patch (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) (taylor -inf v) (#s(alt (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (patch (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
8.0ms
r
@0
((* (+ (* -2 v) 3) 1/8) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ 2 (* r r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* w w) r) (* w w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) (- 3 (* 2 v)) (/ (pow (* w r) 2) (- 1 v)) (pow (* w r) 2) (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2) (* (* (* w w) r) r) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v)) (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (* (* w r) (* w r)))
6.0ms
r
@-inf
((* (+ (* -2 v) 3) 1/8) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ 2 (* r r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* w w) r) (* w w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) (- 3 (* 2 v)) (/ (pow (* w r) 2) (- 1 v)) (pow (* w r) 2) (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2) (* (* (* w w) r) r) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v)) (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (* (* w r) (* w r)))
5.0ms
r
@inf
((* (+ (* -2 v) 3) 1/8) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ 2 (* r r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* w w) r) (* w w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) (- 3 (* 2 v)) (/ (pow (* w r) 2) (- 1 v)) (pow (* w r) 2) (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2) (* (* (* w w) r) r) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v)) (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (* (* w r) (* w r)))
4.0ms
v
@0
((* (+ (* -2 v) 3) 1/8) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ 2 (* r r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* w w) r) (* w w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) (- 3 (* 2 v)) (/ (pow (* w r) 2) (- 1 v)) (pow (* w r) 2) (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2) (* (* (* w w) r) r) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v)) (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (* (* w r) (* w r)))
4.0ms
w
@inf
((* (+ (* -2 v) 3) 1/8) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ 2 (* r r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* w w) r) (* w w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v))) (- 3 (* 2 v)) (/ (pow (* w r) 2) (- 1 v)) (pow (* w r) 2) (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2) (* (* (* w w) r) r) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (- 1 v)) (* (* 1/8 (- 3 (* 2 v))) (* (* w r) (* w r))) (* (* w r) (* w r)))

simplify320.0ms (3.1%)

Memory
-3.4MiB live, 515.5MiB allocated
Algorithm
1×egg-herbie
Rules
18 512×lower-fma.f64
18 512×lower-fma.f32
5 592×lower-*.f64
5 592×lower-*.f32
4 204×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037812636
1123311925
2415111412
0847510712
Stop Event
1×iter limit
1×node limit
Counts
660 → 660
Calls
Call 1
Inputs
-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)
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 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))
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -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))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2))) (pow r 2))
-3/2
(- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2)
(- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2)
(- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2)
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
9/2
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
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3/8
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(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(- (* 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)))))
(- (+ (* -1/8 (/ (- (* -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)))))
(- (+ (* -1/8 (/ (- (* -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)))))))
(- (+ (* -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 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2)
(* -1/4 v)
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -2 v)
(* v (- (* 3 (/ 1 v)) 2))
(* v (- (* 3 (/ 1 v)) 2))
(* v (- (* 3 (/ 1 v)) 2))
(* -1 (/ (* (pow r 2) (pow w 2)) v))
(/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)
(/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 2)))) (/ (* (pow r 2) (pow w 2)) v)) v)
(/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 3)))) (+ (/ (* (pow r 2) (pow w 2)) v) (/ (* (pow r 2) (pow w 2)) (pow v 2)))) v)
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))
(+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))
(+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(* 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) (* 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 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)))))
(* -1 (+ 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 (* 1/4 (* (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)) (+ 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)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2)
(* -1/4 v)
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(* -2 v)
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(* -1 (/ (* (pow r 2) (pow w 2)) v))
(* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) (pow w 2)) v) (* -1 (* (pow r 2) (pow w 2)))) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v))
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))
(+ 9/2 (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(+ 9/2 (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(+ 9/2 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
Outputs
-3/2
#s(literal -3/2 binary64)
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64))
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64))
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #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 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r)
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
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(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r) (*.f64 w w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 (*.f64 r r) (fma.f64 w (+.f64 w (/.f64 w (*.f64 v v))) (/.f64 (*.f64 w w) v))))) v)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r) (*.f64 w w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 (*.f64 r r) (fma.f64 w (+.f64 w (/.f64 w (*.f64 v v))) (/.f64 (*.f64 w w) v))))) v)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)
(fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r) (*.f64 w w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)
(fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r) (*.f64 w w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)
(fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r) (*.f64 w w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2)
(fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2)
(fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2)
(fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64))
(* -1/4 v)
(*.f64 #s(literal -1/4 binary64) v)
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1 binary64) #s(literal -1/4 binary64)) v)
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1 binary64) #s(literal -1/4 binary64)) v)
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1 binary64) #s(literal -1/4 binary64)) v)
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r) (*.f64 w w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 (*.f64 r r) (fma.f64 w (+.f64 w (/.f64 w (*.f64 v v))) (/.f64 (*.f64 w w) v))))) v)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(+.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r) (*.f64 w w) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 3 binary64))
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))))
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 (*.f64 r r) (fma.f64 w (+.f64 w (/.f64 w (*.f64 v v))) (/.f64 (*.f64 w w) v))))) v)))
(* -2 v)
(*.f64 v #s(literal -2 binary64))
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) v) #s(literal -1 binary64) #s(literal -2 binary64)) v)
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) v) #s(literal -1 binary64) #s(literal -2 binary64)) v)
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) v) #s(literal -1 binary64) #s(literal -2 binary64)) v)
(* -1 (/ (* (pow r 2) (pow w 2)) v))
(*.f64 (neg.f64 r) (*.f64 r (/.f64 (*.f64 w w) v)))
(* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v))
(/.f64 (*.f64 (*.f64 (neg.f64 r) r) (*.f64 w (+.f64 (/.f64 w v) w))) v)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v))
(/.f64 (neg.f64 (*.f64 (*.f64 r r) (fma.f64 w (+.f64 w (/.f64 w (*.f64 v v))) (/.f64 (*.f64 w w) v)))) v)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) (pow w 2)) v) (* -1 (* (pow r 2) (pow w 2)))) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v))
(/.f64 (neg.f64 (fma.f64 (*.f64 r r) (*.f64 w (+.f64 w (/.f64 w (pow.f64 v #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 r r) (*.f64 w (+.f64 (/.f64 w v) w))) v))) v)
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 9/2 binary64))
(+ 9/2 (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 9/2 binary64)))
(+ 9/2 (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (fma.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w (+.f64 (/.f64 w v) w))) v) #s(literal -1/8 binary64) #s(literal 9/2 binary64)))
(+ 9/2 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (/.f64 (*.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 (*.f64 r r) (fma.f64 w (+.f64 w (/.f64 w (*.f64 v v))) (/.f64 (*.f64 w w) v))))) v)) #s(literal 9/2 binary64))
(* 1/4 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w)
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) #s(literal -1/8 binary64)))
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w (+.f64 (/.f64 w v) w))) v) #s(literal -1/8 binary64)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (/.f64 (*.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 (*.f64 r r) (fma.f64 w (+.f64 w (/.f64 w (*.f64 v v))) (/.f64 (*.f64 w w) v))))) v))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) v) (*.f64 w w))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)

rewrite221.0ms (2.1%)

Memory
-13.3MiB live, 406.3MiB allocated
Rules
4 034×lower-/.f32
4 026×lower-/.f64
3 872×lower-*.f32
3 852×lower-*.f64
3 466×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059394
092353
1420347
23432347
08641336
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 823
Calls
Call 1
Inputs
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))
(-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(*.f64 r r)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(*.f64 (*.f64 w w) r)
(*.f64 w w)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v)))
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))
(/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))
(pow.f64 (*.f64 w r) #s(literal 2 binary64))
(fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))
(*.f64 (*.f64 (*.f64 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 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r)))
(*.f64 (*.f64 w r) (*.f64 w r))
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eval286.0ms (2.7%)

Memory
27.8MiB live, 560.6MiB allocated
Compiler

Compiled 59 702 to 3 725 computations (93.8% saved)

prune88.0ms (0.8%)

Memory
1.6MiB live, 214.0MiB allocated
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1 782131 795
Fresh10414
Picked415
Done000
Total1 796181 814
Accuracy
100.0%
Counts
1 814 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.7%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) w) r) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
▶91.8%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
84.6%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
82.9%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
46.8%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
79.2%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) #s(approx (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2) (fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (fma.f64 #s(literal 1/8 binary64) v #s(literal 3/8 binary64)) #s(literal 9/2 binary64)))))
▶90.7%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))))
▶54.7%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)))
84.2%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
90.7%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
▶44.5%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
✓44.5%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
▶79.9%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
81.8%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
44.5%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64)))
28.8%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r))))
43.9%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
36.9%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w)))
Compiler

Compiled 572 to 487 computations (14.9% saved)

simplify116.0ms (1.1%)

Memory
23.2MiB live, 132.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 r w) w)
cost-diff0
(fma.f64 (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))
cost-diff0
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
cost-diff0
#s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)))
cost-diff0
(*.f64 r r)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff0
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))))
cost-diff0
(/.f64 #s(literal 2 binary64) r)
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
cost-diff384
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
cost-diff0
#s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))
cost-diff0
(*.f64 r r)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff0
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)))
cost-diff0
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff128
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v)))
cost-diff192
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
cost-diff320
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))
Rules
8 344×lower-fma.f32
8 338×lower-fma.f64
6 664×lower-*.f32
6 642×lower-*.f64
1 668×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066488
096470
1202445
2485431
31763431
46523431
08399406
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 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(literal 3 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w)
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r)
(*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w)
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r)
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
v
#s(literal -2 binary64)
#s(literal 1/8 binary64)
w
(-.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(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(/.f64 #s(literal 2 binary64) r)
#s(literal 2 binary64)
r
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))
(*.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)
w
#s(literal -3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(fma.f64 (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))
(*.f64 (*.f64 (*.f64 r w) w) r)
(*.f64 (*.f64 r w) w)
(*.f64 r w)
r
w
(-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))
(/.f64 #s(literal 1/8 binary64) v)
#s(literal 1/8 binary64)
v
#s(literal 1/4 binary64)
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
Outputs
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (+.f64 #s(literal -3/2 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 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (pow.f64 (*.f64 w r) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w)
(*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r)
(*.f64 (*.f64 w (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) r)) r)
(*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w)
(*.f64 w (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) r))
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r)
(*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) r)
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))
v
#s(literal -2 binary64)
#s(literal 1/8 binary64)
w
(-.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(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)))
(+.f64 #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 #s(literal 2 binary64) r)
#s(literal 2 binary64)
r
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))))
(+.f64 #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 w r) #s(literal 2 binary64)) #s(literal -3/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)))
#s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 w r) #s(literal 2 binary64)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 w r) #s(literal 2 binary64)) #s(literal -3/2 binary64))
(*.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)
w
#s(literal -3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))
(fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (pow.f64 (*.f64 w r) #s(literal 2 binary64)) #s(literal -3/2 binary64))
(*.f64 (*.f64 (*.f64 r w) w) r)
(pow.f64 (*.f64 w r) #s(literal 2 binary64))
(*.f64 (*.f64 r w) w)
(*.f64 (*.f64 w w) r)
(*.f64 r w)
(*.f64 w r)
r
w
(-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))
(/.f64 #s(literal 1/8 binary64) v)
#s(literal 1/8 binary64)
v
#s(literal 1/4 binary64)
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)

localize170.0ms (1.6%)

Memory
-4.8MiB live, 263.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.15234375
(*.f64 (*.f64 r w) w)
accuracy0.40131753225158345
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy3.1000334049785456
(*.f64 (*.f64 (*.f64 r w) w) r)
accuracy11.585014200795765
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
accuracy0.40131753225158345
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy1.9366785049610613
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))
accuracy4.239777733774175
#s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)))
accuracy5.845207485723368
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w)
accuracy0
(/.f64 #s(literal 2 binary64) r)
accuracy0.125
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
accuracy35.491409219122914
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
accuracy0
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)))
accuracy0
(*.f64 r r)
accuracy0.40131753225158345
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy31.61964781615131
#s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))
accuracy0.8262784080902427
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r)
accuracy2.3232511275455763
(*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w)
accuracy2.6023855767912836
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))
accuracy3.344538614426948
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w)
Samples
115.0ms236×0valid
11.0ms10×2valid
7.0ms10×1valid
Compiler

Compiled 449 to 62 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-mult: 35.0ms (37.5% of total)
ival-add: 17.0ms (18.2% of total)
ival-div: 15.0ms (16.1% of total)
ival-sub: 15.0ms (16.1% of total)
ival-pow2: 7.0ms (7.5% of total)
adjust: 3.0ms (3.2% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series100.0ms (1%)

Memory
12.2MiB live, 174.9MiB allocated
Counts
24 → 672
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (patch (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())
#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())
#s(alt #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)) (patch #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 2 binary64) r) r) (patch (/.f64 (/.f64 #s(literal 2 binary64) r) r) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) r) (patch (/.f64 #s(literal 2 binary64) r) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))) (patch #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #<representation binary64>) () ())
#s(alt (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (patch (fma.f64 (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 r w) w) (patch (*.f64 (*.f64 r w) w) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (patch (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) (patch (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) (patch (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) (patch (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)) (patch (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 r w) w) r) (patch (*.f64 (*.f64 (*.f64 r w) w) r) #<representation binary64>) () ())
Outputs
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ())
#s(alt (pow r 2) (taylor 0 r) (#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())) ())
#s(alt (pow r 2) (taylor 0 r) (#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())) ())
#s(alt (pow r 2) (taylor 0 r) (#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())) ())
#s(alt (pow r 2) (taylor 0 r) (#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())) ())
#s(alt -3/2 (taylor 0 r) (#s(alt #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)) (patch #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) (taylor 0 r) (#s(alt #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)) (patch #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
24.0ms
v
@0
((* (+ (* v -2) 3) 1/8) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) (+ 3 (/ 2 (* r r))) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ 2 (* r r)) (* r r) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (/ (/ 2 r) r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ 2 r) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (* (* r w) w) (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v)) (* (* (* (+ (* v -2) 3) 1/8) r) w) (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) (* (* -1/4 (* r r)) w) (+ (* (* (* -1/4 (* r r)) w) w) -3/2) (* (* (* r w) w) r))
9.0ms
r
@-inf
((* (+ (* v -2) 3) 1/8) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) (+ 3 (/ 2 (* r r))) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ 2 (* r r)) (* r r) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (/ (/ 2 r) r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ 2 r) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (* (* r w) w) (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v)) (* (* (* (+ (* v -2) 3) 1/8) r) w) (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) (* (* -1/4 (* r r)) w) (+ (* (* (* -1/4 (* r r)) w) w) -3/2) (* (* (* r w) w) r))
5.0ms
r
@0
((* (+ (* v -2) 3) 1/8) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) (+ 3 (/ 2 (* r r))) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ 2 (* r r)) (* r r) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (/ (/ 2 r) r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ 2 r) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (* (* r w) w) (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v)) (* (* (* (+ (* v -2) 3) 1/8) r) w) (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) (* (* -1/4 (* r r)) w) (+ (* (* (* -1/4 (* r r)) w) w) -3/2) (* (* (* r w) w) r))
5.0ms
r
@inf
((* (+ (* v -2) 3) 1/8) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) (+ 3 (/ 2 (* r r))) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ 2 (* r r)) (* r r) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (/ (/ 2 r) r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ 2 r) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (* (* r w) w) (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v)) (* (* (* (+ (* v -2) 3) 1/8) r) w) (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) (* (* -1/4 (* r r)) w) (+ (* (* (* -1/4 (* r r)) w) w) -3/2) (* (* (* r w) w) r))
5.0ms
w
@inf
((* (+ (* v -2) 3) 1/8) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) (+ 3 (/ 2 (* r r))) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ 2 (* r r)) (* r r) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (/ (/ 2 r) r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ 2 r) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (* (* r w) w) (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v)) (* (* (* (+ (* v -2) 3) 1/8) r) w) (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) (* (* -1/4 (* r r)) w) (+ (* (* (* -1/4 (* r r)) w) w) -3/2) (* (* (* r w) w) r))

simplify222.0ms (2.1%)

Memory
14.2MiB live, 361.5MiB allocated
Algorithm
1×egg-herbie
Rules
18 590×lower-fma.f64
18 590×lower-fma.f32
5 818×lower-+.f64
5 818×lower-+.f32
5 288×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033712697
1110012243
2361811371
0845310671
Stop Event
1×iter limit
1×node limit
Counts
672 → 672
Calls
Call 1
Inputs
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 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)
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 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))
-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)
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2))) (pow r 2))
-3/2
(- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2)
(- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2)
(- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2)
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (* r (* w (+ 3 (* -2 v)))))
(* 1/8 (* r (* w (+ 3 (* -2 v)))))
(* 1/8 (* r (* w (+ 3 (* -2 v)))))
(* 1/8 (* r (* w (+ 3 (* -2 v)))))
(* 1/8 (* (pow r 2) (* w (+ 3 (* -2 v)))))
(* 1/8 (* (pow r 2) (* w (+ 3 (* -2 v)))))
(* 1/8 (* (pow r 2) (* w (+ 3 (* -2 v)))))
(* 1/8 (* (pow r 2) (* w (+ 3 (* -2 v)))))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
-3/2
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 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)))
(* (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
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1 (* (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 (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)
(* -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))))))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 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))))))
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(* -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))))))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* -1 (* (pow r 2) (+ (* 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))))))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2)))))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (* r (* w (+ 3 (* -2 v)))))
(* 1/8 (* r (* w (+ 3 (* -2 v)))))
(* 1/8 (* r (* w (+ 3 (* -2 v)))))
(* 1/8 (* r (* w (+ 3 (* -2 v)))))
(* 1/8 (* (pow r 2) (* w (+ 3 (* -2 v)))))
(* 1/8 (* (pow r 2) (* w (+ 3 (* -2 v)))))
(* 1/8 (* (pow r 2) (* w (+ 3 (* -2 v)))))
(* 1/8 (* (pow r 2) (* w (+ 3 (* -2 v)))))
(* -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) (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)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* -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)))
(* (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
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1 (* (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 (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)
(* -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))))))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 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))))))
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
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(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(* -1 (+ 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 (* 1/4 (* (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)) (+ 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)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(* -1 (+ 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 (* 1/4 (* (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)) (+ 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)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2)
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(* -1/4 (* r (* v w)))
(* -1 (* v (+ (* -3/8 (/ (* r w) v)) (* 1/4 (* r w)))))
(* -1 (* v (+ (* -3/8 (/ (* r w) v)) (* 1/4 (* r w)))))
(* -1 (* v (+ (* -3/8 (/ (* r w) v)) (* 1/4 (* r w)))))
(* -1/4 (* (pow r 2) (* v w)))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) w) v)) (* 1/4 (* (pow r 2) w)))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) w) v)) (* 1/4 (* (pow r 2) w)))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) w) v)) (* 1/4 (* (pow r 2) w)))))
Outputs
(/ 2 (pow r 2))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal 3 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal 3 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)
(/ 2 (pow r 2))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(/ 2 (pow r 2))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(/ 2 (pow r 2))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(/ 2 (pow r 2))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
-3/2
#s(literal -3/2 binary64)
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)
(fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal -3/2 binary64))
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)
(fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal -3/2 binary64))
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)
(fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal -3/2 binary64))
(/ 2 (pow r 2))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(/ 2 (pow r 2))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(/ 2 (pow r 2))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(/ 2 (pow r 2))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(/ 2 (pow r 2))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ 2 r)
(/.f64 #s(literal 2 binary64) r)
(/ 2 r)
(/.f64 #s(literal 2 binary64) r)
(/ 2 r)
(/.f64 #s(literal 2 binary64) r)
(/ 2 r)
(/.f64 #s(literal 2 binary64) r)
(/ 2 (pow r 2))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
-3/2
#s(literal -3/2 binary64)
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)
(fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal -3/2 binary64))
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)
(fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal -3/2 binary64))
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)
(fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal -3/2 binary64))
(/ 2 (pow r 2))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2))) (pow r 2))
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(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2))) (pow r 2))
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(fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r) (*.f64 w w) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 3/2 binary64)))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (/.f64 (*.f64 (*.f64 w (*.f64 r r)) w) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 (*.f64 (*.f64 w (*.f64 r r)) w) #s(literal -1/4 binary64) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 3/2 binary64))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(-.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (*.f64 r r) (*.f64 (/.f64 (*.f64 (*.f64 w (*.f64 r r)) w) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)))) v) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r r)) w) #s(literal 1/4 binary64) #s(literal 3/2 binary64)))
(* -1 (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))
(- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (*.f64 w (*.f64 r r)) 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)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (/.f64 (*.f64 (*.f64 w (*.f64 r r)) w) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #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)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (*.f64 r r) (*.f64 (/.f64 (*.f64 (*.f64 w (*.f64 r r)) w) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)))) v) (fma.f64 (*.f64 (*.f64 w (*.f64 r r)) w) #s(literal 1/4 binary64) #s(literal 3/2 binary64)))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (*.f64 w (*.f64 r r)) w) #s(literal -1/4 binary64) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 3/2 binary64)))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r) (*.f64 w w) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 3/2 binary64)))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (/.f64 (*.f64 (*.f64 w (*.f64 r r)) w) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 (*.f64 (*.f64 w (*.f64 r r)) w) #s(literal -1/4 binary64) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 3/2 binary64))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(-.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (*.f64 r r) (*.f64 (/.f64 (*.f64 (*.f64 w (*.f64 r r)) w) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)))) v) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r r)) w) #s(literal 1/4 binary64) #s(literal 3/2 binary64)))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(fma.f64 (*.f64 (*.f64 w (*.f64 r r)) w) #s(literal -1/4 binary64) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 3/2 binary64)))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)
(fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r) (*.f64 w w) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 3/2 binary64)))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)
(fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r) (*.f64 w w) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 3/2 binary64)))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)
(fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r) (*.f64 w w) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 3/2 binary64)))
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2)
(fma.f64 (*.f64 (*.f64 w (*.f64 r r)) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2)
(fma.f64 (*.f64 (*.f64 w (*.f64 r r)) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2)
(fma.f64 (*.f64 (*.f64 w (*.f64 r r)) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 r r)) w) #s(literal -1/4 binary64)) v)
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 r r)) w) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 r r)) w) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 r r)) w) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)
(* 1/4 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 (*.f64 w (*.f64 r r)) w) #s(literal 1/4 binary64))
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (/.f64 (*.f64 (*.f64 w (*.f64 r r)) w) v) #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 w (*.f64 r r)) w) #s(literal 1/4 binary64)))
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 w w)) (*.f64 r r) (*.f64 (*.f64 (neg.f64 r) (*.f64 r (*.f64 w (/.f64 w v)))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 w w)) (*.f64 r r) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (*.f64 r r) (*.f64 (/.f64 (*.f64 (*.f64 w (*.f64 r r)) w) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)))) (neg.f64 v)))
(* -1/4 (* r (* v w)))
(*.f64 (*.f64 (*.f64 v w) r) #s(literal -1/4 binary64))
(* -1 (* v (+ (* -3/8 (/ (* r w) v)) (* 1/4 (* r w)))))
(*.f64 (*.f64 (*.f64 w r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)
(* -1 (* v (+ (* -3/8 (/ (* r w) v)) (* 1/4 (* r w)))))
(*.f64 (*.f64 (*.f64 w r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)
(* -1 (* v (+ (* -3/8 (/ (* r w) v)) (* 1/4 (* r w)))))
(*.f64 (*.f64 (*.f64 w r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)
(* -1/4 (* (pow r 2) (* v w)))
(*.f64 (*.f64 (*.f64 (*.f64 v w) r) r) #s(literal -1/4 binary64))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) w) v)) (* 1/4 (* (pow r 2) w)))))
(*.f64 (*.f64 (*.f64 w (*.f64 r r)) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) w) v)) (* 1/4 (* (pow r 2) w)))))
(*.f64 (*.f64 (*.f64 w (*.f64 r r)) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) w) v)) (* 1/4 (* (pow r 2) w)))))
(*.f64 (*.f64 (*.f64 w (*.f64 r r)) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v)

rewrite205.0ms (2%)

Memory
-38.7MiB live, 249.8MiB allocated
Rules
4 024×lower-*.f32
4 002×lower-*.f64
3 986×lower-/.f32
3 976×lower-/.f64
3 648×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066407
096389
1454364
24102364
09241351
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 601
Calls
Call 1
Inputs
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) 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)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(*.f64 r r)
#s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
(/.f64 #s(literal 2 binary64) r)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))))
#s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(fma.f64 (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))
(*.f64 (*.f64 r w) w)
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w)
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))
(*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w)
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r)
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w)
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))
(*.f64 (*.f64 (*.f64 r w) w) r)
Outputs
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eval219.0ms (2.1%)

Memory
50.9MiB live, 313.9MiB allocated
Compiler

Compiled 41 104 to 2 998 computations (92.7% saved)

prune81.0ms (0.8%)

Memory
-22.3MiB live, 101.8MiB allocated
Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New1 47181 479
Fresh4812
Picked325
Done011
Total1 478191 497
Accuracy
100.0%
Counts
1 497 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.7%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) w) r) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
48.3%
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
82.9%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
▶46.8%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
79.2%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 r r)) w) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
▶92.5%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64))))
84.2%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
✓54.7%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)))
▶37.3%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64)))
90.7%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
✓44.5%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
✓44.5%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
81.8%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (*.f64 w r)) (*.f64 w r) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
44.5%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64)))
▶28.8%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r))))
▶58.5%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))) (*.f64 w w) #s(literal -3/2 binary64))))
30.4%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 w (*.f64 r r)) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))))
43.9%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
36.9%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w)))
Compiler

Compiled 568 to 483 computations (15% saved)

simplify166.0ms (1.6%)

Memory
26.3MiB live, 138.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w)))
cost-diff0
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))) (*.f64 w w) #s(literal -3/2 binary64))
cost-diff0
#s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))) (*.f64 w w) #s(literal -3/2 binary64)))
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))) (*.f64 w w) #s(literal -3/2 binary64))))
cost-diff0
(/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))
cost-diff0
(*.f64 w w)
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64)))
cost-diff320
(*.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64))
cost-diff0
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w)
cost-diff0
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w)
cost-diff0
#s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r)))
cost-diff0
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r))))
cost-diff0
(*.f64 r r)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff0
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff0
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
cost-diff0
#s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64)))
cost-diff0
(*.f64 r r)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff0
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64))))
Rules
10 490×lower-fma.f32
10 482×lower-fma.f64
6 984×lower-*.f32
6 954×lower-*.f64
3 430×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091666
0124644
1266614
2640598
32286596
47483596
08049573
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64))
(*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r)
(*.f64 w (*.f64 #s(literal -1/4 binary64) r))
w
(*.f64 #s(literal -1/4 binary64) r)
#s(literal -1/4 binary64)
#s(literal -3/2 binary64)
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(literal 9/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r))))
#s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r)))
(*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w)
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w)
(-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))
(/.f64 #s(literal 1/8 binary64) v)
#s(literal 1/8 binary64)
v
#s(literal 1/4 binary64)
w
(*.f64 r r)
r
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64)))
(*.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64))
(*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v)))
(*.f64 w w)
w
(/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r)
(*.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)
r
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal -1/8 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))) (*.f64 w w) #s(literal -3/2 binary64)))
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))) (*.f64 w w) #s(literal -3/2 binary64))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w)))
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r)
(-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))
(/.f64 #s(literal 1/8 binary64) v)
#s(literal 1/8 binary64)
v
#s(literal 1/4 binary64)
r
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))
#s(literal 2 binary64)
(*.f64 (*.f64 w (*.f64 r r)) w)
(*.f64 w (*.f64 r r))
w
(*.f64 r r)
(*.f64 w w)
#s(literal -3/2 binary64)
Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64))))
(+.f64 #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal -3/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64)))
#s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64))
(fma.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal -3/2 binary64))
(*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r)
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) w) r)
(*.f64 w (*.f64 #s(literal -1/4 binary64) r))
(*.f64 (*.f64 #s(literal -1/4 binary64) r) w)
w
(*.f64 #s(literal -1/4 binary64) r)
#s(literal -1/4 binary64)
#s(literal -3/2 binary64)
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(literal 9/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (pow.f64 (*.f64 w r) #s(literal 2 binary64)))))
#s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r)))
#s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (pow.f64 (*.f64 w r) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r))
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (pow.f64 (*.f64 w r) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w)
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w)
(-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))
(/.f64 #s(literal 1/8 binary64) v)
#s(literal 1/8 binary64)
v
#s(literal 1/4 binary64)
w
(*.f64 r r)
r
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))))
(*.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64))
(*.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)))
(*.f64 w w)
w
(/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r)
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r)
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r)
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r)
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))
v
#s(literal -2 binary64)
#s(literal 3 binary64)
r
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal -1/8 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 w r) #s(literal 2 binary64)))) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))) (*.f64 w w) #s(literal -3/2 binary64)))
#s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 w r) #s(literal 2 binary64)))) (*.f64 w w) #s(literal -3/2 binary64)))
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))) (*.f64 w w) #s(literal -3/2 binary64))
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 w r) #s(literal 2 binary64)))) (*.f64 w w) #s(literal -3/2 binary64))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w)))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 w r) #s(literal 2 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r)
(-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))
(/.f64 #s(literal 1/8 binary64) v)
#s(literal 1/8 binary64)
v
#s(literal 1/4 binary64)
r
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))
(/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 w r) #s(literal 2 binary64)))
#s(literal 2 binary64)
(*.f64 (*.f64 w (*.f64 r r)) w)
(pow.f64 (*.f64 w r) #s(literal 2 binary64))
(*.f64 w (*.f64 r r))
(*.f64 (*.f64 w r) r)
w
(*.f64 r r)
(*.f64 w w)
#s(literal -3/2 binary64)

localize273.0ms (2.6%)

Memory
-37.9MiB live, 250.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy4.488159053180172
(*.f64 (*.f64 w (*.f64 r r)) w)
accuracy5.656607303794212
(*.f64 w (*.f64 r r))
accuracy11.585014200795765
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))) (*.f64 w w) #s(literal -3/2 binary64))))
accuracy16.915361331190816
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))) (*.f64 w w) #s(literal -3/2 binary64))
accuracy0.140625
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r)
accuracy3.2782038304890904
(/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))
accuracy14.4044504101272
(*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v)))
accuracy33.532974882289935
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64)))
accuracy0.1015625
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w)
accuracy11.585014200795765
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r))))
accuracy14.783003567680526
(*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r))
accuracy30.87992699287538
#s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r)))
accuracy0
(*.f64 r r)
accuracy0.0078125
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
accuracy0.40131753225158345
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy35.32630432051052
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
accuracy0.10546875
(*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r)
accuracy0.40131753225158345
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy1.9366785049610613
(fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64))
accuracy4.239777733774175
#s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64)))
Samples
166.0ms235×0valid
15.0ms11×1valid
11.0ms10×2valid
Compiler

Compiled 506 to 81 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 160.0ms
ival-mult: 97.0ms (60.5% of total)
ival-sub: 24.0ms (15% of total)
ival-add: 21.0ms (13.1% of total)
ival-div: 11.0ms (6.9% of total)
adjust: 4.0ms (2.5% of total)
ival-pow2: 3.0ms (1.9% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series210.0ms (2%)

Memory
2.9MiB live, 82.0MiB allocated
Counts
25 → 732
Calls
Call 1
Inputs
#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64)))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())
#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())
#s(alt #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64))) (patch #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) (patch (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r))) (patch #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (patch (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) (patch (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64)) (patch (*.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 w w) (patch (*.f64 w w) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))) (*.f64 w w) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))) (*.f64 w w) #s(literal -3/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))) (*.f64 w w) #s(literal -3/2 binary64))) (patch #s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))) (*.f64 w w) #s(literal -3/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))) (*.f64 w w) #s(literal -3/2 binary64)) (patch (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))) (*.f64 w w) #s(literal -3/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))) (patch (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64)) (patch (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) (patch (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r)) (patch (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (patch (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) #<representation binary64>) () ())
#s(alt (*.f64 w (*.f64 r r)) (patch (*.f64 w (*.f64 r r)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 w (*.f64 r r)) w) (patch (*.f64 (*.f64 w (*.f64 r r)) w) #<representation binary64>) () ())
Outputs
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64)))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64)))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64)))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ())
#s(alt (pow r 2) (taylor 0 r) (#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())) ())
#s(alt (pow r 2) (taylor 0 r) (#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())) ())
#s(alt (pow r 2) (taylor 0 r) (#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())) ())
#s(alt (pow r 2) (taylor 0 r) (#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())) ())
#s(alt -3/2 (taylor 0 r) (#s(alt #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64))) (patch #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) (taylor 0 r) (#s(alt #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64))) (patch #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) (taylor 0 r) (#s(alt #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64))) (patch #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) (taylor 0 r) (#s(alt #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64))) (patch #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) (patch (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) (patch (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) (patch (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) (patch (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r)))) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
44.0ms
v
@0
((+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ 2 (* r r)) (* r r) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (* (* (- (/ 1/8 v) 1/4) w) w) (* (- (/ 1/8 v) 1/4) w) (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (+ (* (+ (* (* (- (/ 1/8 v) 1/4) r) r) (/ 2 (* (* w (* r r)) w))) (* w w)) -3/2) (+ (* (* (- (/ 1/8 v) 1/4) r) r) (/ 2 (* (* w (* r r)) w))) (+ (* (* (* w (* -1/4 r)) r) w) -3/2) (* (* w (* -1/4 r)) r) (* (* (* (- (/ 1/8 v) 1/4) w) w) (* r r)) (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) (* (* (+ (* v -2) 3) r) r) (* w (* r r)) (* (* w (* r r)) w))
6.0ms
r
@inf
((+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ 2 (* r r)) (* r r) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (* (* (- (/ 1/8 v) 1/4) w) w) (* (- (/ 1/8 v) 1/4) w) (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (+ (* (+ (* (* (- (/ 1/8 v) 1/4) r) r) (/ 2 (* (* w (* r r)) w))) (* w w)) -3/2) (+ (* (* (- (/ 1/8 v) 1/4) r) r) (/ 2 (* (* w (* r r)) w))) (+ (* (* (* w (* -1/4 r)) r) w) -3/2) (* (* w (* -1/4 r)) r) (* (* (* (- (/ 1/8 v) 1/4) w) w) (* r r)) (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) (* (* (+ (* v -2) 3) r) r) (* w (* r r)) (* (* w (* r r)) w))
5.0ms
r
@0
((+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ 2 (* r r)) (* r r) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (* (* (- (/ 1/8 v) 1/4) w) w) (* (- (/ 1/8 v) 1/4) w) (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (+ (* (+ (* (* (- (/ 1/8 v) 1/4) r) r) (/ 2 (* (* w (* r r)) w))) (* w w)) -3/2) (+ (* (* (- (/ 1/8 v) 1/4) r) r) (/ 2 (* (* w (* r r)) w))) (+ (* (* (* w (* -1/4 r)) r) w) -3/2) (* (* w (* -1/4 r)) r) (* (* (* (- (/ 1/8 v) 1/4) w) w) (* r r)) (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) (* (* (+ (* v -2) 3) r) r) (* w (* r r)) (* (* w (* r r)) w))
5.0ms
w
@-inf
((+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ 2 (* r r)) (* r r) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (* (* (- (/ 1/8 v) 1/4) w) w) (* (- (/ 1/8 v) 1/4) w) (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (+ (* (+ (* (* (- (/ 1/8 v) 1/4) r) r) (/ 2 (* (* w (* r r)) w))) (* w w)) -3/2) (+ (* (* (- (/ 1/8 v) 1/4) r) r) (/ 2 (* (* w (* r r)) w))) (+ (* (* (* w (* -1/4 r)) r) w) -3/2) (* (* w (* -1/4 r)) r) (* (* (* (- (/ 1/8 v) 1/4) w) w) (* r r)) (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) (* (* (+ (* v -2) 3) r) r) (* w (* r r)) (* (* w (* r r)) w))
5.0ms
w
@inf
((+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ 2 (* r r)) (* r r) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (* (* (- (/ 1/8 v) 1/4) w) w) (* (- (/ 1/8 v) 1/4) w) (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (+ (* (+ (* (* (- (/ 1/8 v) 1/4) r) r) (/ 2 (* (* w (* r r)) w))) (* w w)) -3/2) (+ (* (* (- (/ 1/8 v) 1/4) r) r) (/ 2 (* (* w (* r r)) w))) (+ (* (* (* w (* -1/4 r)) r) w) -3/2) (* (* w (* -1/4 r)) r) (* (* (* (- (/ 1/8 v) 1/4) w) w) (* r r)) (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) (* (* (+ (* v -2) 3) r) r) (* w (* r r)) (* (* w (* r r)) w))

simplify377.0ms (3.6%)

Memory
46.4MiB live, 304.8MiB allocated
Algorithm
1×egg-herbie
Rules
18 386×lower-fma.f64
18 386×lower-fma.f32
5 332×lower-*.f64
5 332×lower-*.f32
2 982×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044514237
1141713602
2450612849
0815012079
Stop Event
1×iter limit
1×node limit
Counts
732 → 732
Calls
Call 1
Inputs
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 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)
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/ 2 (pow r 2))
(/ (+ 2 (* -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))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2))) (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2))) (pow r 2))
(/ 2 (* (pow r 2) (pow w 2)))
(/ (+ (* (pow r 4) (- (* 1/8 (/ 1 v)) 1/4)) (* 2 (/ 1 (pow w 2)))) (pow r 2))
(/ (+ (* (pow r 4) (- (* 1/8 (/ 1 v)) 1/4)) (* 2 (/ 1 (pow w 2)))) (pow r 2))
(/ (+ (* (pow r 4) (- (* 1/8 (/ 1 v)) 1/4)) (* 2 (/ 1 (pow w 2)))) (pow r 2))
-3/2
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* -1/4 (* (pow r 2) w))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(* (pow r 2) (+ 3 (* -2 v)))
(* (pow r 2) (+ 3 (* -2 v)))
(* (pow r 2) (+ 3 (* -2 v)))
(* (pow r 2) (+ 3 (* -2 v)))
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1 (* (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 (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)
(* -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))))))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* -1 (* (pow r 2) (+ (* 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))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4))
(* (pow r 2) (- (+ (* 1/8 (/ 1 v)) (* 2 (/ 1 (* (pow r 4) (pow w 2))))) 1/4))
(* (pow r 2) (- (+ (* 1/8 (/ 1 v)) (* 2 (/ 1 (* (pow r 4) (pow w 2))))) 1/4))
(* (pow r 2) (- (+ (* 1/8 (/ 1 v)) (* 2 (/ 1 (* (pow r 4) (pow w 2))))) 1/4))
(* -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)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 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))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(* (pow r 2) (+ 3 (* -2 v)))
(* (pow r 2) (+ 3 (* -2 v)))
(* (pow r 2) (+ 3 (* -2 v)))
(* (pow r 2) (+ 3 (* -2 v)))
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1 (* (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 (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)
(* -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))))))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* -1 (* (pow r 2) (+ (* 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))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4))
(* (pow r 2) (- (+ (* 1/8 (/ 1 v)) (* 2 (/ 1 (* (pow r 4) (pow w 2))))) 1/4))
(* (pow r 2) (- (+ (* 1/8 (/ 1 v)) (* 2 (/ 1 (* (pow r 4) (pow w 2))))) 1/4))
(* (pow r 2) (- (+ (* 1/8 (/ 1 v)) (* 2 (/ 1 (* (pow r 4) (pow w 2))))) 1/4))
(* -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)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 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))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))
(* (pow r 2) (+ 3 (* -2 v)))
(* (pow r 2) (+ 3 (* -2 v)))
(* (pow r 2) (+ 3 (* -2 v)))
(* (pow r 2) (+ 3 (* -2 v)))
(* (pow r 2) w)
(* (pow r 2) w)
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(+ (* -1/4 (pow r 2)) (+ (* 1/8 (/ (pow r 2) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* -1/4 (* (pow r 2) (pow w 2)))
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v)))
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v)))
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v)))
(* 2 (* (pow r 2) (pow w 2)))
(- (+ (* -3 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (* (pow r 2) (pow w 2)))) (* -2 (/ (* (pow r 2) (pow w 2)) v)))
(- (+ (* -3 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 2 (* (pow r 2) (pow w 2))))) (+ (* -2 (/ (* (pow r 2) (pow w 2)) v)) (* -2 (/ (* (pow r 2) (pow w 2)) (pow v 2)))))
(- (+ (* -3 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* 2 (* (pow r 2) (pow w 2))))) (+ (* -2 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -2 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* -1 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))))))
(* -2 (* (pow r 2) v))
(* v (+ (* -2 (pow r 2)) (* 3 (/ (pow r 2) v))))
(* v (+ (* -2 (pow r 2)) (* 3 (/ (pow r 2) v))))
(* v (+ (* -2 (pow r 2)) (* 3 (/ (pow r 2) v))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(* -1 (+ 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 (* 1/4 (* (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)) (+ 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)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)
(* -1/4 (pow w 2))
(+ (* -1/4 (pow w 2)) (* 1/8 (/ (pow w 2) v)))
(+ (* -1/4 (pow w 2)) (* 1/8 (/ (pow w 2) v)))
(+ (* -1/4 (pow w 2)) (* 1/8 (/ (pow w 2) v)))
(* -1/4 w)
(+ (* -1/4 w) (* 1/8 (/ w v)))
(+ (* -1/4 w) (* 1/8 (/ w v)))
(+ (* -1/4 w) (* 1/8 (/ w v)))
(* -1/4 (* (pow r 2) (pow w 2)))
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)))
(+ (* -1 (/ (+ (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* -1/4 (* (pow r 2) (pow w 2))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(* 2 (pow r 2))
(+ (* -1 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v)) (* 3 (pow r 2))) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (pow r 2))) (* 3 (pow r 2))) v)) (* 3 (pow r 2))) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)
(- (* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) 3/2)
(- (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))) 3/2)
(- (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))) 3/2)
(- (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))) 3/2)
(+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))
(+ (* -1/4 (pow r 2)) (+ (* 1/8 (/ (pow r 2) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(+ (* -1/4 (pow r 2)) (+ (* 1/8 (/ (pow r 2) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(+ (* -1/4 (pow r 2)) (+ (* 1/8 (/ (pow r 2) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(* -1/4 (* (pow r 2) (pow w 2)))
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v)))
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v)))
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v)))
(* 2 (* (pow r 2) (pow w 2)))
(+ (* -1 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 3 (* (pow r 2) (pow w 2)))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (* (pow r 2) (pow w 2)))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 3 (* (pow r 2) (pow w 2)))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (* (pow r 2) (pow w 2))))
(* -2 (* (pow r 2) v))
(* -1 (* v (+ (* -3 (/ (pow r 2) v)) (* 2 (pow r 2)))))
(* -1 (* v (+ (* -3 (/ (pow r 2) v)) (* 2 (pow r 2)))))
(* -1 (* v (+ (* -3 (/ (pow r 2) v)) (* 2 (pow r 2)))))
Outputs
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
-3/2
#s(literal -3/2 binary64)
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64))
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64))
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2)
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #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 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
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(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w)
(* -1/4 w)
(*.f64 #s(literal -1/4 binary64) w)
(+ (* -1/4 w) (* 1/8 (/ w v)))
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w)
(+ (* -1/4 w) (* 1/8 (/ w v)))
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w)
(+ (* -1/4 w) (* 1/8 (/ w v)))
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w)
(* -1/4 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w))
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)))
(*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r))
(+ (* -1 (/ (+ (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* -1/4 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 (*.f64 w w) r) r (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r (+.f64 (/.f64 r v) r))))) v))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (*.f64 w (*.f64 r r)) #s(literal -1/4 binary64)) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r) (*.f64 w w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (*.f64 w (*.f64 r r)) #s(literal -1/4 binary64)) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 w w) r) r (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r (+.f64 (/.f64 r v) r))))) v)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))
(* 2 (pow r 2))
(*.f64 (*.f64 r r) #s(literal 2 binary64))
(+ (* -1 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))
(*.f64 (*.f64 r r) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) v)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v)) (* 3 (pow r 2))) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))
(fma.f64 (*.f64 #s(literal 2 binary64) r) r (/.f64 (neg.f64 (*.f64 r (+.f64 (/.f64 r v) r))) v))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (pow r 2))) (* 3 (pow r 2))) v)) (* 3 (pow r 2))) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))
(fma.f64 (*.f64 #s(literal 2 binary64) r) r (/.f64 (fma.f64 r r (/.f64 (*.f64 r (+.f64 (/.f64 r v) r)) v)) (neg.f64 v)))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (*.f64 w (*.f64 r r)) #s(literal -1/4 binary64)) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r) (*.f64 w w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (*.f64 w (*.f64 r r)) #s(literal -1/4 binary64)) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 w w) r) r (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r (+.f64 (/.f64 r v) r))))) v)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(fma.f64 (*.f64 (*.f64 w (*.f64 r r)) #s(literal -1/4 binary64)) w (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)
(fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r) (*.f64 w w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)
(fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r) (*.f64 w w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)
(fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r) (*.f64 w w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(- (* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) 3/2)
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) r) r (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) w) w)) (*.f64 w w) #s(literal -3/2 binary64))
(- (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))) 3/2)
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) w) w)) (*.f64 w w) #s(literal -3/2 binary64))
(- (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))) 3/2)
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) w) w)) (*.f64 w w) #s(literal -3/2 binary64))
(- (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* (pow w 2) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))) 3/2)
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) w) w)) (*.f64 w w) #s(literal -3/2 binary64))
(+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) r) r (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) w) w))
(+ (* -1/4 (pow r 2)) (+ (* 1/8 (/ (pow r 2) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) w) w))
(+ (* -1/4 (pow r 2)) (+ (* 1/8 (/ (pow r 2) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) w) w))
(+ (* -1/4 (pow r 2)) (+ (* 1/8 (/ (pow r 2) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) w) w))
(* -1/4 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w))
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v)))
(*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r))
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v)))
(*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r))
(+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v)))
(*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r))
(* 2 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 2 binary64)) w) w)
(+ (* -1 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (* (pow r 2) (pow w 2))))
(*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal -1 binary64) v) #s(literal -2 binary64)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 3 (* (pow r 2) (pow w 2)))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 2 binary64)) w) w (/.f64 (*.f64 (*.f64 w w) (*.f64 r (+.f64 (/.f64 r v) r))) (neg.f64 v)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (* (pow r 2) (pow w 2)))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 3 (* (pow r 2) (pow w 2)))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (* (pow r 2) (pow w 2))))
(fma.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 2 binary64)) w) w (/.f64 (fma.f64 (*.f64 (*.f64 w w) r) r (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r (+.f64 (/.f64 r v) r)))) (neg.f64 v)))
(* -2 (* (pow r 2) v))
(*.f64 (*.f64 v (*.f64 r r)) #s(literal -2 binary64))
(* -1 (* v (+ (* -3 (/ (pow r 2) v)) (* 2 (pow r 2)))))
(*.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 3 binary64) v) #s(literal -2 binary64))) v)
(* -1 (* v (+ (* -3 (/ (pow r 2) v)) (* 2 (pow r 2)))))
(*.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 3 binary64) v) #s(literal -2 binary64))) v)
(* -1 (* v (+ (* -3 (/ (pow r 2) v)) (* 2 (pow r 2)))))
(*.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 3 binary64) v) #s(literal -2 binary64))) v)

rewrite215.0ms (2.1%)

Memory
-21.5MiB live, 223.6MiB allocated
Rules
4 594×lower-*.f32
4 564×lower-*.f64
3 958×lower-fma.f32
3 950×lower-fma.f64
3 034×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091569
0124547
1564519
24594519
08295503
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 290
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(*.f64 r r)
#s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r))))
#s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w)
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w)
(*.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64)))
(*.f64 w w)
(/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))) (*.f64 w w) #s(literal -3/2 binary64)))
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))) (*.f64 w w) #s(literal -3/2 binary64))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w)))
(fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64))
(*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r)
(*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r))
(*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r)
(*.f64 w (*.f64 r r))
(*.f64 (*.f64 w (*.f64 r r)) w)
Outputs
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eval179.0ms (1.7%)

Memory
17.9MiB live, 328.2MiB allocated
Compiler

Compiled 25 500 to 2 039 computations (92% saved)

prune75.0ms (0.7%)

Memory
-19.3MiB live, 151.2MiB allocated
Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New1 11791 126
Fresh4711
Picked325
Done033
Total1 124211 145
Accuracy
100.0%
Counts
1 145 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.7%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) w) r) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
48.3%
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
82.9%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
✓46.8%
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
79.2%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 r r)) w) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
✓54.7%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)))
44.5%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (fma.f64 (/.f64 (*.f64 w w) (*.f64 (*.f64 w w) r)) (/.f64 #s(literal 2 binary64) r) (fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal -3/2 binary64))))
43.1%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) w) #s(literal -1/8 binary64)))
39.2%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 #s(approx (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 2 binary64)) w) w)) #s(literal -1/8 binary64)))
31.9%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))))
36.9%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w)))
37.4%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w))))
90.7%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
✓44.5%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
✓44.5%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
44.5%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64)))
33.7%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (*.f64 w r)) (*.f64 w r))))
33.4%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))) r)))
31.5%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 w (*.f64 (*.f64 w r) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r)))))
✓58.5%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))) (*.f64 w w) #s(literal -3/2 binary64))))
43.9%
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
Compiler

Compiled 1 293 to 538 computations (58.4% saved)

regimes95.0ms (0.9%)

Memory
-10.5MiB live, 186.2MiB allocated
Counts
50 → 1
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 #s(approx (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 2 binary64)) w) w)) #s(literal -1/8 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 w (*.f64 r r)) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 w (*.f64 (*.f64 w r) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))) r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (*.f64 w r)) (*.f64 w r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) 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(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) w) #s(literal -1/8 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 r r)) 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)) (-.f64 #s(literal 3 binary64) #s(approx (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2) (fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (fma.f64 #s(literal 1/8 binary64) v #s(literal 3/8 binary64)) #s(literal 9/2 binary64)))))
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (*.f64 w r)) (*.f64 w r) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))) (*.f64 w w) #s(literal -3/2 binary64))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 #s(approx (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) v) (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) w) r) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w r) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (fma.f64 (/.f64 (*.f64 w w) (*.f64 (*.f64 w w) r)) (/.f64 #s(literal 2 binary64) r) (fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 1/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 w w)))) (*.f64 w w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
(-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 w w)) #s(literal -1 binary64)) (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64))
(-.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 r #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))))
Calls

6 calls:

18.0ms
w
17.0ms
r
15.0ms
(*.f64 w w)
14.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
13.0ms
v
Results
AccuracySegmentsBranch
99.8%1v
99.8%1w
99.8%1r
99.8%1(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
99.8%1(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
99.8%1(*.f64 w w)
Compiler

Compiled 62 to 55 computations (11.3% saved)

regimes121.0ms (1.2%)

Memory
-1.0MiB live, 159.0MiB allocated
Counts
46 → 2
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 #s(approx (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 2 binary64)) w) w)) #s(literal -1/8 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 w (*.f64 r r)) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 w (*.f64 (*.f64 w r) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))) r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (*.f64 w r)) (*.f64 w r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) 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(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) w) #s(literal -1/8 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 r r)) 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)) (-.f64 #s(literal 3 binary64) #s(approx (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2) (fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (fma.f64 #s(literal 1/8 binary64) v #s(literal 3/8 binary64)) #s(literal 9/2 binary64)))))
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (*.f64 w r)) (*.f64 w r) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))) (*.f64 w w) #s(literal -3/2 binary64))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 #s(approx (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) v) (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) w) r) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 w r) (*.f64 w r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w r) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (fma.f64 (/.f64 (*.f64 w w) (*.f64 (*.f64 w w) r)) (/.f64 #s(literal 2 binary64) r) (fma.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 1/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 w w)))) (*.f64 w w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64)))
Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
Calls

6 calls:

29.0ms
(-.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
w
15.0ms
r
12.0ms
v
11.0ms
(*.f64 w w)
Results
AccuracySegmentsBranch
98.3%2v
98.8%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))
98.8%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)))
98.9%2w
99.2%2r
98.9%2(*.f64 w w)
Compiler

Compiled 62 to 55 computations (11.3% saved)

regimes69.0ms (0.7%)

Memory
32.8MiB live, 148.4MiB allocated
Counts
37 → 3
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 #s(approx (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 2 binary64)) w) w)) #s(literal -1/8 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 w (*.f64 r r)) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 w (*.f64 (*.f64 w r) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))) r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (*.f64 w r)) (*.f64 w r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) 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(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) w) #s(literal -1/8 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 r r)) 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)) (-.f64 #s(literal 3 binary64) #s(approx (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2) (fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (fma.f64 #s(literal 1/8 binary64) v #s(literal 3/8 binary64)) #s(literal 9/2 binary64)))))
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (*.f64 w r)) (*.f64 w r) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r) r (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 w (*.f64 r r)) w))) (*.f64 w w) #s(literal -3/2 binary64))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 #s(approx (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) v) (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
Calls

6 calls:

13.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
13.0ms
v
12.0ms
(*.f64 w w)
10.0ms
w
10.0ms
r
Results
AccuracySegmentsBranch
99.0%3v
96.6%3(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
96.6%3(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
95.2%2w
95.2%2(*.f64 w w)
94.6%2r
Compiler

Compiled 62 to 55 computations (11.3% saved)

regimes46.0ms (0.4%)

Memory
-14.2MiB live, 63.6MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 #s(approx (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 2 binary64)) w) w)) #s(literal -1/8 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 w (*.f64 r r)) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 w (*.f64 (*.f64 w r) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))) r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (*.f64 w r)) (*.f64 w r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) 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(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) r) w #s(literal -3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v))) #s(literal -1/8 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) w) #s(literal -1/8 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 w (*.f64 r r)) 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)) (-.f64 #s(literal 3 binary64) #s(approx (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2) (fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (fma.f64 #s(literal 1/8 binary64) v #s(literal 3/8 binary64)) #s(literal 9/2 binary64)))))
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) w) r) w) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))))
Calls

3 calls:

27.0ms
w
9.0ms
v
8.0ms
(*.f64 w w)
Results
AccuracySegmentsBranch
95.2%2w
95.2%2(*.f64 w w)
96.7%3v
Compiler

Compiled 5 to 10 computations (-100% saved)

regimes48.0ms (0.5%)

Memory
-17.9MiB live, 72.0MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 #s(approx (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 2 binary64)) w) w)) #s(literal -1/8 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 w (*.f64 r r)) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 w (*.f64 (*.f64 w r) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))) r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (*.f64 w r)) (*.f64 w r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) 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(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64))))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 #s(approx (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 2 binary64)) w) w)) #s(literal -1/8 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
Calls

6 calls:

16.0ms
v
7.0ms
r
6.0ms
w
6.0ms
(*.f64 w w)
6.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Results
AccuracySegmentsBranch
90.7%1r
93.6%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))
93.6%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)))
90.7%1v
90.7%1w
90.7%1(*.f64 w w)
Compiler

Compiled 62 to 55 computations (11.3% saved)

regimes35.0ms (0.3%)

Memory
3.2MiB live, 78.8MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 #s(approx (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 2 binary64)) w) w)) #s(literal -1/8 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* r w) w) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 w (*.f64 r r)) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 w (*.f64 (*.f64 w r) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (*.f64 w r) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))) r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) w) w) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (+ (* (* (* (* w w) r) r) (- (/ 1/8 v) 1/4)) -3/2) (/ 2 (* r r))) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (*.f64 w r)) (*.f64 w r))))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 #s(approx (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 2 binary64)) w) w)) #s(literal -1/8 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
Calls

6 calls:

8.0ms
v
7.0ms
r
5.0ms
w
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
84.4%3r
77.4%2w
76.6%2(*.f64 w w)
69.6%1v
92.5%3(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
92.5%3(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Compiler

Compiled 62 to 55 computations (11.3% saved)

regimes7.0ms (0.1%)

Memory
20.9MiB live, 21.0MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 #s(approx (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 2 binary64)) w) w)) #s(literal -1/8 binary64)))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 #s(approx (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 2 binary64)) w) w)) #s(literal -1/8 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
Calls

2 calls:

3.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
3.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Results
AccuracySegmentsBranch
90.5%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))
90.5%2(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Compiler

Compiled 56 to 42 computations (25% saved)

regimes9.0ms (0.1%)

Memory
-25.1MiB live, 17.9MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
Calls

2 calls:

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))
3.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Results
AccuracySegmentsBranch
89.0%2(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
89.0%2(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Compiler

Compiled 56 to 42 computations (25% saved)

regimes5.0ms (0%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w)))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
Calls

2 calls:

2.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
2.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Results
AccuracySegmentsBranch
88.2%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))
88.2%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)))
Compiler

Compiled 56 to 42 computations (25% saved)

regimes14.0ms (0.1%)

Memory
3.1MiB live, 42.0MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
Calls

6 calls:

3.0ms
(*.f64 w w)
2.0ms
v
2.0ms
w
2.0ms
r
2.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Results
AccuracySegmentsBranch
54.7%1v
54.7%1(*.f64 w w)
54.7%1w
54.7%1r
54.7%1(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
54.7%1(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Compiler

Compiled 62 to 55 computations (11.3% saved)

regimes9.0ms (0.1%)

Memory
-8.8MiB live, 30.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

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

Compiled 62 to 55 computations (11.3% saved)

bsearch20.0ms (0.2%)

Memory
12.5MiB live, 50.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.012669027845015871
1.6973891539546484
Samples
13.0ms112×0valid
Compiler

Compiled 347 to 287 computations (17.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (47.9% of total)
ival-sub: 2.0ms (24% of total)
ival-div: 1.0ms (12% of total)
ival-add: 1.0ms (12% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch48.0ms (0.5%)

Memory
-4.2MiB live, 113.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
0.0022377833896720565
0.0072594683426180605
29.0ms
-188522.94434549846
-9.640889826370217e-19
Samples
25.0ms256×0valid
Compiler

Compiled 640 to 540 computations (15.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 10.0ms (53.2% of total)
ival-sub: 4.0ms (21.3% of total)
ival-div: 3.0ms (16% of total)
ival-add: 1.0ms (5.3% of total)
exact: 1.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.989186781693128e-80
7.707988911422472e-80
Compiler

Compiled 32 to 28 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-inf
-3.324700944375303e+246
Compiler

Compiled 32 to 28 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
-3.91952137353033e+18
-2454338200255112000.0
0.0ms
-6.835851116765478e+215
-8.693231367919534e+192
Compiler

Compiled 32 to 28 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2454338200255112000.0
3.0
Compiler

Compiled 32 to 28 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2454338200255112000.0
3.0
Compiler

Compiled 32 to 28 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2454338200255112000.0
3.0
Compiler

Compiled 32 to 28 computations (12.5% saved)

simplify52.0ms (0.5%)

Memory
-2.6MiB live, 115.5MiB allocated
Algorithm
1×egg-herbie
Rules
358×unsub-neg-binary64--.f64-neg.f64-+.f64
252×neg-mul-1-binary64-*.f64-neg.f64
136×distribute-lft-neg-in-binary64-*.f64-neg.f64
124×*-commutative-binary64-*.f64
112×distribute-rgt-neg-in-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01461140
11991140
22471140
33001140
43611140
54251140
65931140
78711140
810311140
910611140
1010701140
1110711140
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))))
(if (<=.f64 r #s(literal 8286623314361713/36028797018963968 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)))) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)))
(if (<=.f64 v #s(literal -2116691824864133/9007199254740992 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (if (<=.f64 v #s(literal 4150517416584649/576460752303423488 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
(if (<=.f64 (*.f64 w w) #s(literal 1668739871813211/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) 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 -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 #s(approx (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 2 binary64)) w) w)) #s(literal -1/8 binary64))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -500000000000000010710773479020978721246567373372474647088354547671145870291665184702440514673563724931478639659165466045414475239434971710797302074167740036733921121471220100911936940402823933156326351978114981036032 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 #s(approx (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 2 binary64)) w) w)) #s(literal -1/8 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 -3000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -2000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 #s(approx (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 2 binary64)) w) w)) #s(literal -1/8 binary64))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -2000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -2000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))))
(+.f64 (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal 9/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(if (<=.f64 r #s(literal 8286623314361713/36028797018963968 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)))) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)))
(if (<=.f64 r #s(literal 8286623314361713/36028797018963968 binary64)) (+.f64 #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 w r) (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) w)))) #s(literal 9/2 binary64)))
(if (<=.f64 v #s(literal -2116691824864133/9007199254740992 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (if (<=.f64 v #s(literal 4150517416584649/576460752303423488 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
(if (<=.f64 v #s(literal -2116691824864133/9007199254740992 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 w r) (*.f64 w r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (if (<=.f64 v #s(literal 4150517416584649/576460752303423488 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 w r) (*.f64 w r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
(if (<=.f64 (*.f64 w w) #s(literal 1668739871813211/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64)))))
(if (<=.f64 (*.f64 w w) #s(literal 1668739871813211/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (+.f64 #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w #s(literal -3/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 #s(approx (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 2 binary64)) w) w)) #s(literal -1/8 binary64))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 v #s(literal 2 binary64))) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 #s(literal -1/8 binary64) #s(approx (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 2 binary64)) w) w)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -500000000000000010710773479020978721246567373372474647088354547671145870291665184702440514673563724931478639659165466045414475239434971710797302074167740036733921121471220100911936940402823933156326351978114981036032 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 #s(approx (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 2 binary64)) w) w)) #s(literal -1/8 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 -3000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 v #s(literal 2 binary64))) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal -500000000000000010710773479020978721246567373372474647088354547671145870291665184702440514673563724931478639659165466045414475239434971710797302074167740036733921121471220100911936940402823933156326351978114981036032 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 #s(literal -1/8 binary64) #s(approx (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 2 binary64)) w) w)))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 v #s(literal 2 binary64))) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) (*.f64 (*.f64 (*.f64 w w) r) r)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.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 -2000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 #s(approx (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 2 binary64)) w) w)) #s(literal -1/8 binary64))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 v #s(literal 2 binary64))) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal -2000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) (*.f64 #s(literal -1/8 binary64) #s(approx (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 2 binary64)) w) w)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(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 -2000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 v #s(literal 2 binary64))) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal -2000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (* (* (+ (* v -2) 3) 1/8) r) w) r) w) (- 1 v))) 9/2) #s(approx (* (* (* w w) (/ (* (* (+ (* v -2) 3) r) r) (- 1 v))) -1/8) (*.f64 (*.f64 w w) (*.f64 #s(literal -1/4 binary64) (*.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.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 -2000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 v #s(literal 2 binary64))) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal -2000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))

soundness1.5s (14.3%)

Memory
-35.0MiB live, 1 111.0MiB allocated
Rules
18 590×lower-fma.f64
18 590×lower-fma.f32
18 512×lower-fma.f64
18 512×lower-fma.f32
18 386×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059394
092353
1420347
23432347
08641336
02274018
17453856
225853578
082083390
033712697
1110012243
2361811371
0845310671
022114
036114
1149104
21353104
0896594
044514237
1141713602
2450612849
0815012079
037812636
1123311925
2415111412
0847510712
Stop Event
1×fuel
1×iter limit
1×node limit
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×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 1 194 to 611 computations (48.8% saved)

preprocess80.0ms (0.8%)

Memory
18.2MiB live, 168.0MiB allocated
Remove

(abs w)

(abs r)

Compiler

Compiled 1 256 to 412 computations (67.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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