Rosa's TurbineBenchmark

Time bar (total: 14.9s)

analyze147.0ms (1%)

Memory
9.2MiB live, 165.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
56.3%56.2%43.7%0.1%0%0%0%7
65.6%65.5%34.3%0.1%0%0%0%8
65.6%65.5%34.3%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
82%81.9%17.9%0.1%0%0%0%11
82%81.9%17.9%0.1%0%0%0%12
Compiler

Compiled 31 to 24 computations (22.6% saved)

sample1.9s (12.9%)

Memory
-21.3MiB live, 2 599.3MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 773.0ms
ival-mult: 425.0ms (54.9% of total)
ival-sub: 145.0ms (18.7% of total)
ival-div: 136.0ms (17.6% of total)
ival-add: 40.0ms (5.2% of total)
exact: 18.0ms (2.3% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess493.0ms (3.3%)

Memory
-2.4MiB live, 879.8MiB allocated
Algorithm
egg-herbie
Rules
16 612×accelerator-lowering-fma.f32
16 612×accelerator-lowering-fma.f64
6 932×*-lowering-*.f32
6 932×*-lowering-*.f64
1 710×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083297
1279293
21049273
33567270
47141270
02229
15829
217025
369925
4391425
5789225
0812423
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
Outputs
(- (- (+ 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 r r)) #s(literal -3/2 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (/.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (-.f64 #s(literal 1 binary64) v))))
Call 2
Inputs
(- (- (+ 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 (neg v)))) (* (* (* w w) r) r)) (- 1 (neg v)))) 9/2)
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* (neg w) (neg w)) r) r)) (- 1 v))) 9/2)
(- (- (+ 3 (/ 2 (* (neg r) (neg r)))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) (neg r)) (neg r))) (- 1 v))) 9/2)
(neg (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 (neg v)))) (* (* (* w w) r) r)) (- 1 (neg v)))) 9/2))
(neg (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* (neg w) (neg w)) r) r)) (- 1 v))) 9/2))
(neg (- (- (+ 3 (/ 2 (* (neg r) (neg r)))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) (neg r)) (neg r))) (- 1 v))) 9/2))
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 w))) (* (* (* v v) r) r)) (- 1 w))) 9/2)
(- (- (+ 3 (/ 2 (* v v))) (/ (* (* 1/8 (- 3 (* 2 r))) (* (* (* w w) v) v)) (- 1 r))) 9/2)
(- (- (+ 3 (/ 2 (* w w))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r r) w) w)) (- 1 v))) 9/2)
Outputs
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
(+ (* (* r r) (/ (* (+ 3/8 (* 1/8 (* v -2))) (* w w)) (+ v -1))) (+ (/ 2 (* r r)) -3/2))
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 (neg v)))) (* (* (* w w) r) r)) (- 1 (neg v)))) 9/2)
(+ (/ 2 (* r r)) (+ (* (* (* w w) (* r (* 1/8 (- 3 (* v -2))))) (/ r (- -1 v))) -3/2))
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* (neg w) (neg w)) r) r)) (- 1 v))) 9/2)
(+ (* (* r r) (/ (* (+ 3/8 (* 1/8 (* v -2))) (* w w)) (+ v -1))) (+ (/ 2 (* r r)) -3/2))
(- (- (+ 3 (/ 2 (* (neg r) (neg r)))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) (neg r)) (neg r))) (- 1 v))) 9/2)
(+ (* (* r r) (/ (* (+ 3/8 (* 1/8 (* v -2))) (* w w)) (+ v -1))) (+ (/ 2 (* r r)) -3/2))
(neg (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 (neg v)))) (* (* (* w w) r) r)) (- 1 (neg v)))) 9/2))
(+ (* (* 1/8 (- 3 (* v -2))) (* (* w w) (* r (/ r (+ v 1))))) (+ (/ -2 (* r r)) 3/2))
(neg (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* (neg w) (neg w)) r) r)) (- 1 v))) 9/2))
(+ (* (* r (* r (* w w))) (* (+ 3 (* v -2)) (/ 1/8 (- 1 v)))) (+ (/ -2 (* r r)) 3/2))
(neg (- (- (+ 3 (/ 2 (* (neg r) (neg r)))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) (neg r)) (neg r))) (- 1 v))) 9/2))
(+ (* (* r (* r (* w w))) (* (+ 3 (* v -2)) (/ 1/8 (- 1 v)))) (+ (/ -2 (* r r)) 3/2))
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 w))) (* (* (* v v) r) r)) (- 1 w))) 9/2)
(+ (* (* (* r (* v v)) (/ r (- 1 w))) (* (- 3 (* 2 w)) -1/8)) (+ (/ 2 (* r r)) -3/2))
(- (- (+ 3 (/ 2 (* v v))) (/ (* (* 1/8 (- 3 (* 2 r))) (* (* (* w w) v) v)) (- 1 r))) 9/2)
(+ (* (* (+ 3 (* r -2)) (* v (* v (* w w)))) (/ 1/8 (+ r -1))) (+ (/ 2 (* v v)) -3/2))
(- (- (+ 3 (/ 2 (* w w))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r r) w) w)) (- 1 v))) 9/2)
(- (- -3/2 (/ -2 (* w w))) (* (* r (* r (* w w))) (* (+ 3 (* v -2)) (/ 1/8 (- 1 v)))))
Symmetry

(abs w)

(abs r)

explain323.0ms (2.2%)

Memory
-8.2MiB live, 518.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
300-0-(*.f64 (*.f64 w w) r)
200-0-(*.f64 (*.f64 (*.f64 w w) r) r)
190-0-(/.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))
100-2(-9.582347922729802e+24 2.6794397001066144e-9 1.3549907465398428e-149)(*.f64 (*.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 (*.f64 #s(literal 1/8 binary64) (-.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/n190
(*.f64 (*.f64 w w) r)overflow68
(*.f64 w w)overflow72
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r))overflow89
(*.f64 (*.f64 (*.f64 w w) r) r)overflow70
*.f64(*.f64 (*.f64 w w) r)n*o130
*.f64(*.f64 (*.f64 (*.f64 w w) r) r)n*o120
*.f64(*.f64 (*.f64 w w) r)n*u120
Confusion
Predicted +Predicted -
+480
-0208
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+4800
-00208
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0208
140
28
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
70.0ms512×0valid
Compiler

Compiled 360 to 92 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 20.0ms (50.1% of total)
ival-sub: 9.0ms (22.5% of total)
ival-div: 7.0ms (17.5% of total)
ival-add: 2.0ms (5% of total)
ival-true: 1.0ms (2.5% of total)
exact: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.0%
(-.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))
Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify704.0ms (4.7%)

Memory
-25.4MiB live, 657.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff0
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.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-diff128
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))
cost-diff128
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.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))
Rules
16 612×accelerator-lowering-fma.f32
16 612×accelerator-lowering-fma.f64
6 932×*-lowering-*.f32
6 932×*-lowering-*.f64
1 710×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022146
158146
2170134
3699134
43914134
57892134
08124126
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (- (+ 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)))
3
(/ 2 (* r r))
2
(* r r)
r
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))
(* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r))
(* 1/8 (- 3 (* 2 v)))
1/8
(- 3 (* 2 v))
(* 2 v)
v
(* (* (* w w) r) r)
(* (* w w) r)
(* w w)
w
(- 1 v)
1
9/2
Outputs
(- (- (+ 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 r r)) #s(literal -3/2 binary64)) (*.f64 (*.f64 r (*.f64 w w)) (/.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (-.f64 #s(literal 1 binary64) v))))
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w w)) (/.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (-.f64 #s(literal 1 binary64) v))))
(+ 3 (/ 2 (* r r)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
3
#s(literal 3 binary64)
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
r
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))
(*.f64 (*.f64 r (*.f64 w w)) (/.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))) (-.f64 #s(literal 1 binary64) v)))
(* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r))
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (*.f64 w w)))
(* 1/8 (- 3 (* 2 v)))
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))
1/8
#s(literal 1/8 binary64)
(- 3 (* 2 v))
(+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64)))
(* 2 v)
(*.f64 #s(literal 2 binary64) v)
v
(* (* (* w w) r) r)
(*.f64 r (*.f64 r (*.f64 w w)))
(* (* w w) r)
(*.f64 r (*.f64 w w))
(* w w)
(*.f64 w w)
w
(- 1 v)
(-.f64 #s(literal 1 binary64) v)
1
#s(literal 1 binary64)
9/2
#s(literal 9/2 binary64)

localize67.0ms (0.4%)

Memory
37.8MiB live, 76.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy96.8%
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r))
accuracy93.0%
(/.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))
accuracy92.6%
(*.f64 (*.f64 (*.f64 w w) r) r)
accuracy88.9%
(*.f64 (*.f64 w w) r)
Samples
42.0ms256×0valid
Compiler

Compiled 148 to 24 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-sub: 15.0ms (49.7% of total)
ival-mult: 10.0ms (33.1% of total)
ival-div: 3.0ms (9.9% of total)
ival-add: 1.0ms (3.3% of total)
exact: 1.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series54.0ms (0.4%)

Memory
-15.7MiB live, 23.6MiB allocated
Counts
8 → 216
Calls
Call 1
Inputs
#<alt (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)>
#<alt (* 1/8 (- 3 (* 2 v)))>
#<alt (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)))>
#<alt (+ 3 (/ 2 (* r r)))>
#<alt (* (* w w) r)>
#<alt (* (* (* w w) r) r)>
#<alt (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))>
#<alt (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r))>
Outputs
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt 3/8>
#<alt (+ 3/8 (* -1/4 v))>
#<alt (+ 3/8 (* -1/4 v))>
#<alt (+ 3/8 (* -1/4 v))>
#<alt (* -1/4 v)>
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
#<alt (* -1/4 v)>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))>
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))>
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt 3>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt 3>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* 3/8 (* (pow r 2) (pow w 2)))>
#<alt (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))>
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))>
#<alt (* 1/4 (* (pow r 2) (pow w 2)))>
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (* 1/4 (* (pow r 2) (pow w 2)))>
#<alt (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 3/8 (* (pow r 2) (pow w 2)))>
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))>
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))>
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
Calls

54 calls:

TimeVariablePointExpression
29.0ms
r
@-inf
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
2.0ms
r
@0
(* (* w w) r)
2.0ms
w
@0
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
1.0ms
v
@-inf
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
1.0ms
r
@0
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)

rewrite657.0ms (4.4%)

Memory
10.0MiB live, 884.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 012×*-lowering-*.f32
6 012×*-lowering-*.f64
5 632×accelerator-lowering-fma.f32
5 632×accelerator-lowering-fma.f64
4 766×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022116
1135106
21339106
0895196
Stop Event
iter limit
node limit
Counts
8 → 397
Calls
Call 1
Inputs
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
(* 1/8 (- 3 (* 2 v)))
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)))
(+ 3 (/ 2 (* r r)))
(* (* w w) r)
(* (* (* w w) r) r)
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))
(* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r))
Outputs
(+.f64 #s(literal 3 binary64) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal -9/2 binary64)))
(+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(+.f64 #s(literal 3 binary64) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (neg.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64)))
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(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64)))))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 v #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 r (*.f64 w w))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64)))))))
(*.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64)))))))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64)))))))
(*.f64 (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w w)))) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64)))))))
(*.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64)))))))
(*.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64)))))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 w w) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64)))))))
(*.f64 (/.f64 (*.f64 w w) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 r (*.f64 w w)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64)))))))
(*.f64 (/.f64 (*.f64 r (*.f64 w w)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64)))))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) r) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 r (*.f64 w w)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64)))))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) r) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 r (*.f64 w w)) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 r r) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64)))))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 r r) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64)))))))
(*.f64 (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(*.f64 (/.f64 (neg.f64 (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 (neg.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))))) #s(literal -1 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w w))))) #s(literal -1 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(*.f64 r (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w w)))))
(*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))))
(*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 r (*.f64 w w)))))
(*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 r (*.f64 r (*.f64 w w))))
(*.f64 (*.f64 w w) (*.f64 (*.f64 r r) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))))))
(*.f64 (*.f64 r (*.f64 w w)) (*.f64 r (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 r (*.f64 w w)))) r)
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) #s(literal 1/8 binary64))
(*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) r) (*.f64 r (*.f64 w w)))
(*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w)) (*.f64 r r))
(*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 1/8 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))

simplify507.0ms (3.4%)

Memory
29.9MiB live, 1 032.5MiB allocated
Algorithm
egg-herbie
Rules
14 286×accelerator-lowering-fma.f32
14 286×accelerator-lowering-fma.f64
4 858×+-lowering-+.f64
4 858×+-lowering-+.f32
4 108×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02194033
17253871
225273593
082003405
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
3/8
(+ 3/8 (* -1/4 v))
(+ 3/8 (* -1/4 v))
(+ 3/8 (* -1/4 v))
(* -1/4 v)
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* -1/4 v)
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
3
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
3
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* 3/8 (* (pow r 2) (pow w 2)))
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 3/8 (* (pow r 2) (pow w 2)))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
Outputs
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal -3/2 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 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v)))))) (*.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 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v)))))) (*.f64 r r))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) v))))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(+.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) v))))) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(+.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) v))))) #s(literal -3/2 binary64))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) v))))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(+.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) v))))) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(+.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) v))))) #s(literal -3/2 binary64))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 #s(literal -1/8 binary64) v) #s(literal 3/8 binary64))) #s(literal -3/2 binary64)))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 (*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/8 binary64) v)) (+.f64 v #s(literal 1 binary64))) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64))))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (*.f64 v (*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/8 binary64) v)) (+.f64 v #s(literal 1 binary64)))) (+.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 #s(literal -1/8 binary64) v) #s(literal 3/8 binary64))) #s(literal -3/2 binary64))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64))))) (*.f64 (*.f64 r (/.f64 (*.f64 r (*.f64 w w)) v)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64))))
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(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v)))
(* 3/8 (* (pow r 2) (pow w 2)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w v)) #s(literal -1/4 binary64)))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w v)) #s(literal -1/4 binary64)))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 1/8 binary64)))

eval96.0ms (0.6%)

Memory
-42.9MiB live, 235.9MiB allocated
Compiler

Compiled 31 738 to 1 958 computations (93.8% saved)

prune160.0ms (1.1%)

Memory
18.9MiB live, 179.7MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New60013613
Fresh000
Picked101
Done000
Total60113614
Accuracy
97.5%
Counts
614 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.0%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
51.0%
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) r) r) #s(literal 9/2 binary64))
39.6%
(-.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))))))) #s(literal 9/2 binary64))
74.7%
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))))
75.9%
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))))
46.6%
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
82.0%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
66.7%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w (*.f64 w v)) #s(literal -1/4 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
90.2%
(-.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 r w) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
90.7%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 w (*.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
45.4%
(-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v))))
79.2%
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))))
55.6%
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
Compiler

Compiled 660 to 428 computations (35.2% saved)

simplify899.0ms (6%)

Memory
-26.0MiB live, 613.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff0
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 r w) w) r)) (-.f64 #s(literal 1 binary64) v)))
cost-diff128
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))
cost-diff128
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 r w) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
cost-diff0
(*.f64 r r)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff0
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff0
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))))
cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64)))
cost-diff0
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) r)
cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) r) r)
cost-diff0
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) r) r) #s(literal 9/2 binary64))
cost-diff0
(*.f64 r r)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff0
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff0
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 w (*.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v)))
cost-diff128
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))
cost-diff128
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 w (*.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Rules
10 064×accelerator-lowering-fma.f32
10 064×accelerator-lowering-fma.f64
5 982×*-lowering-*.f32
5 982×*-lowering-*.f64
1 978×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043433
1118433
2304409
31203409
44008409
08070388
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (- (+ 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 (* r r)))
3
(/ 2 (* r r))
2
(* r r)
r
(/ (* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r))) (- 1 v))
(* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r)))
(* 1/8 (- 3 (* 2 v)))
1/8
(- 3 (* 2 v))
(* 2 v)
v
(* w (* (* r w) r))
w
(* (* r w) r)
(* r w)
(- 1 v)
1
9/2
(/ 2 (* r r))
2
(* r r)
r
(- (/ (/ (+ 2 (* (* r r) 3)) r) r) 9/2)
(/ (/ (+ 2 (* (* r r) 3)) r) r)
(/ (+ 2 (* (* r r) 3)) r)
(+ 2 (* (* r r) 3))
2
(* (* r r) 3)
(* r r)
r
3
9/2
(+ (+ -3/2 (/ 2 (* r r))) (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)))
(+ -3/2 (/ 2 (* r r)))
-3/2
(/ 2 (* r r))
2
(* r r)
r
(* (* r (* r (* w w))) (- (/ 1/8 v) 1/4))
(* r (* r (* w w)))
(* r (* w w))
(* w w)
w
(- (/ 1/8 v) 1/4)
(/ 1/8 v)
1/8
v
1/4
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v))) 9/2)
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v)))
(+ 3 (/ 2 (* r r)))
3
(/ 2 (* r r))
2
(* r r)
r
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v))
(* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r))
(* 1/8 (- 3 (* 2 v)))
1/8
(- 3 (* 2 v))
(* 2 v)
v
(* (* (* r w) w) r)
(* (* r w) w)
(* r w)
w
(- 1 v)
1
9/2
Outputs
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r))) (- 1 v))) 9/2)
(+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 w (*.f64 r (*.f64 r (*.f64 w (+.f64 (*.f64 v #s(literal 1/4 binary64)) #s(literal -3/8 binary64)))))) (-.f64 #s(literal 1 binary64) v))))
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r))) (- 1 v)))
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 w (*.f64 r (*.f64 r (*.f64 w (+.f64 (*.f64 v #s(literal 1/4 binary64)) #s(literal -3/8 binary64)))))) (-.f64 #s(literal 1 binary64) v)))
(+ 3 (/ 2 (* r r)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
3
#s(literal 3 binary64)
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
r
(/ (* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r))) (- 1 v))
(*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (-.f64 #s(literal 1 binary64) v)))
(* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r)))
(*.f64 (*.f64 r r) (*.f64 w (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) w)))
(* 1/8 (- 3 (* 2 v)))
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))
1/8
#s(literal 1/8 binary64)
(- 3 (* 2 v))
(+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64)))
(* 2 v)
(*.f64 #s(literal 2 binary64) v)
v
(* w (* (* r w) r))
(*.f64 (*.f64 r r) (*.f64 w w))
w
(* (* r w) r)
(*.f64 (*.f64 r r) w)
(* r w)
(*.f64 r w)
(- 1 v)
(-.f64 #s(literal 1 binary64) v)
1
#s(literal 1 binary64)
9/2
#s(literal 9/2 binary64)
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
r
(- (/ (/ (+ 2 (* (* r r) 3)) r) r) 9/2)
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 r r))) (*.f64 r r)) #s(literal -9/2 binary64))
(/ (/ (+ 2 (* (* r r) 3)) r) r)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 r r))) (*.f64 r r))
(/ (+ 2 (* (* r r) 3)) r)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 r r))) r)
(+ 2 (* (* r r) 3))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 r r)))
2
#s(literal 2 binary64)
(* (* r r) 3)
(*.f64 #s(literal 3 binary64) (*.f64 r r))
(* r r)
(*.f64 r r)
r
3
#s(literal 3 binary64)
9/2
#s(literal 9/2 binary64)
(+ (+ -3/2 (/ 2 (* r r))) (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)))
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(+ -3/2 (/ 2 (* r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
-3/2
#s(literal -3/2 binary64)
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
r
(* (* r (* r (* w w))) (- (/ 1/8 v) 1/4))
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))
(* r (* r (* w w)))
(*.f64 (*.f64 r r) (*.f64 w w))
(* r (* w w))
(*.f64 r (*.f64 w w))
(* w w)
(*.f64 w w)
w
(- (/ 1/8 v) 1/4)
(+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))
(/ 1/8 v)
(/.f64 #s(literal 1/8 binary64) v)
1/8
#s(literal 1/8 binary64)
v
1/4
#s(literal 1/4 binary64)
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v))) 9/2)
(+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 w (*.f64 r (*.f64 r (*.f64 w (+.f64 (*.f64 v #s(literal 1/4 binary64)) #s(literal -3/8 binary64)))))) (-.f64 #s(literal 1 binary64) v))))
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v)))
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 w (*.f64 r (*.f64 r (*.f64 w (+.f64 (*.f64 v #s(literal 1/4 binary64)) #s(literal -3/8 binary64)))))) (-.f64 #s(literal 1 binary64) v)))
(+ 3 (/ 2 (* r r)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
3
#s(literal 3 binary64)
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
r
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v))
(*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) (/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (-.f64 #s(literal 1 binary64) v)))
(* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r))
(*.f64 (*.f64 r r) (*.f64 w (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64))) w)))
(* 1/8 (- 3 (* 2 v)))
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))
1/8
#s(literal 1/8 binary64)
(- 3 (* 2 v))
(+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64)))
(* 2 v)
(*.f64 #s(literal 2 binary64) v)
v
(* (* (* r w) w) r)
(*.f64 (*.f64 r r) (*.f64 w w))
(* (* r w) w)
(*.f64 r (*.f64 w w))
(* r w)
(*.f64 r w)
w
(- 1 v)
(-.f64 #s(literal 1 binary64) v)
1
#s(literal 1 binary64)
9/2
#s(literal 9/2 binary64)

localize199.0ms (1.3%)

Memory
10.7MiB live, 406.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.4%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy96.8%
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 r w) w) r))
accuracy93.0%
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 r w) w) r)) (-.f64 #s(literal 1 binary64) v))
accuracy92.6%
(*.f64 (*.f64 (*.f64 r w) w) r)
accuracy99.4%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy96.2%
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))
accuracy92.6%
(*.f64 r (*.f64 r (*.f64 w w)))
accuracy88.9%
(*.f64 r (*.f64 w w))
accuracy100.0%
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) r) r) #s(literal 9/2 binary64))
accuracy99.8%
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) r) r)
accuracy99.7%
(*.f64 (*.f64 r r) #s(literal 3 binary64))
accuracy71.9%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) r)
accuracy100.0%
(*.f64 r r)
accuracy99.4%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy99.4%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy96.8%
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 w (*.f64 (*.f64 r w) r)))
accuracy95.2%
(*.f64 w (*.f64 (*.f64 r w) r))
accuracy93.0%
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 w (*.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))
Samples
96.0ms222×0valid
14.0ms25×1valid
8.0ms3valid
1.0ms2valid
Compiler

Compiled 435 to 45 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 38.0ms (53.7% of total)
ival-div: 12.0ms (17% of total)
ival-sub: 11.0ms (15.6% of total)
ival-add: 5.0ms (7.1% of total)
adjust: 2.0ms (2.8% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series31.0ms (0.2%)

Memory
-9.9MiB live, 68.6MiB allocated
Counts
24 → 576
Calls
Call 1
Inputs
#<alt (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r))) (- 1 v))) 9/2)>
#<alt (* 1/8 (- 3 (* 2 v)))>
#<alt (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r))) (- 1 v)))>
#<alt (+ 3 (/ 2 (* r r)))>
#<alt (/ 2 (* r r))>
#<alt (* r r)>
#<alt (- (/ (/ (+ 2 (* (* r r) 3)) r) r) 9/2)>
#<alt (/ (/ (+ 2 (* (* r r) 3)) r) r)>
#<alt (/ (+ 2 (* (* r r) 3)) r)>
#<alt (+ 2 (* (* r r) 3))>
#<alt (+ (+ -3/2 (/ 2 (* r r))) (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)))>
#<alt (+ -3/2 (/ 2 (* r r)))>
#<alt (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v))) 9/2)>
#<alt (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v)))>
#<alt (/ (* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r))) (- 1 v))>
#<alt (* w (* (* r w) r))>
#<alt (* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r)))>
#<alt (* (* r r) 3)>
#<alt (* r (* w w))>
#<alt (* r (* r (* w w)))>
#<alt (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4))>
#<alt (* (* (* r w) w) r)>
#<alt (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v))>
#<alt (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r))>
Outputs
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt 3/8>
#<alt (+ 3/8 (* -1/4 v))>
#<alt (+ 3/8 (* -1/4 v))>
#<alt (+ 3/8 (* -1/4 v))>
#<alt (* -1/4 v)>
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
#<alt (* -1/4 v)>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))>
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))>
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt 3>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt 3>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (/ 2 (pow r 2))>
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#<alt 3>
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#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
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#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
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#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))>
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#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))>
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#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
Calls

144 calls:

TimeVariablePointExpression
4.0ms
v
@0
(+ (+ -3/2 (/ 2 (* r r))) (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)))
3.0ms
r
@inf
(+ (+ -3/2 (/ 2 (* r r))) (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)))
1.0ms
r
@0
(* (* r (* r (* w w))) (- (/ 1/8 v) 1/4))
1.0ms
w
@inf
(+ (+ -3/2 (/ 2 (* r r))) (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)))
1.0ms
v
@inf
(+ (+ -3/2 (/ 2 (* r r))) (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)))

rewrite549.0ms (3.7%)

Memory
40.8MiB live, 903.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 868×accelerator-lowering-fma.f32
5 868×accelerator-lowering-fma.f64
5 078×/-lowering-/.f32
5 078×/-lowering-/.f64
4 664×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043314
1307288
22473288
09544262
Stop Event
iter limit
node limit
Counts
24 → 940
Calls
Call 1
Inputs
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r))) (- 1 v))) 9/2)
(* 1/8 (- 3 (* 2 v)))
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r))) (- 1 v)))
(+ 3 (/ 2 (* r r)))
(/ 2 (* r r))
(* r r)
(- (/ (/ (+ 2 (* (* r r) 3)) r) r) 9/2)
(/ (/ (+ 2 (* (* r r) 3)) r) r)
(/ (+ 2 (* (* r r) 3)) r)
(+ 2 (* (* r r) 3))
(+ (+ -3/2 (/ 2 (* r r))) (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)))
(+ -3/2 (/ 2 (* r r)))
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v))) 9/2)
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v)))
(/ (* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r))) (- 1 v))
(* w (* (* r w) r))
(* (* 1/8 (- 3 (* 2 v))) (* w (* (* r w) r)))
(* (* r r) 3)
(* r (* w w))
(* r (* r (* w w)))
(* (* r (* r (* w w))) (- (/ 1/8 v) 1/4))
(* (* (* r w) w) r)
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r)) (- 1 v))
(* (* 1/8 (- 3 (* 2 v))) (* (* (* r w) w) r))
Outputs
(+.f64 #s(literal 3 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64)))
(+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 9/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))))
(+.f64 #s(literal 3 binary64) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (+.f64 #s(literal 9/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))))
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (neg.f64 (+.f64 #s(literal 9/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))))
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r (*.f64 r w))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r (*.f64 r w))))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
(+.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal -9/2 binary64))
(+.f64 #s(literal -9/2 binary64) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal 9/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))
(-.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))))) (+.f64 (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))))) (+.f64 #s(literal 81/4 binary64) (*.f64 #s(literal 9/2 binary64) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))))))) (/.f64 #s(literal 729/8 binary64) (+.f64 (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))))) (+.f64 #s(literal 81/4 binary64) (*.f64 #s(literal 9/2 binary64) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))))))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))))) (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r (*.f64 r w))))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) (/.f64 #s(literal 81/4 binary64) (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r (*.f64 r w))))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))))) (+.f64 (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))))) (-.f64 #s(literal 81/4 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal -9/2 binary64))))) (/.f64 #s(literal 729/8 binary64) (+.f64 (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))))) (-.f64 #s(literal 81/4 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal -9/2 binary64))))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))))) (-.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal -9/2 binary64))) (/.f64 #s(literal 81/4 binary64) (-.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal -9/2 binary64))))
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(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) r) r) (-.f64 #s(literal 3 binary64) (+.f64 #s(literal 9/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (+.f64 #s(literal 9/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 r r))) (-.f64 #s(literal 3 binary64) (+.f64 #s(literal 9/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 w (*.f64 r (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))))
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(*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 r r)) (*.f64 w w))
(*.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 r (*.f64 r w))) w)
(*.f64 (*.f64 (*.f64 w (*.f64 r (*.f64 r w))) #s(literal 1/8 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) w)) r) (*.f64 r w))

simplify563.0ms (3.8%)

Memory
9.9MiB live, 1 000.6MiB allocated
Algorithm
egg-herbie
Rules
16 952×accelerator-lowering-fma.f32
16 952×accelerator-lowering-fma.f64
5 416×+-lowering-+.f64
5 416×+-lowering-+.f32
4 294×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02569873
18259536
228108837
082028405
Stop Event
iter limit
node limit
Counts
576 → 576
Calls
Call 1
Inputs
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
3/8
(+ 3/8 (* -1/4 v))
(+ 3/8 (* -1/4 v))
(+ 3/8 (* -1/4 v))
(* -1/4 v)
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* -1/4 v)
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
3
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
3
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
-3/2
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
-3/2
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
3
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
3
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(/ 2 r)
(/ (+ 2 (* 3 (pow r 2))) r)
(/ (+ 2 (* 3 (pow r 2))) r)
(/ (+ 2 (* 3 (pow r 2))) r)
(* 3 r)
(* r (+ 3 (* 2 (/ 1 (pow r 2)))))
(* r (+ 3 (* 2 (/ 1 (pow r 2)))))
(* r (+ 3 (* 2 (/ 1 (pow r 2)))))
(* 3 r)
(* r (+ 3 (* 2 (/ 1 (pow r 2)))))
(* r (+ 3 (* 2 (/ 1 (pow r 2)))))
(* r (+ 3 (* 2 (/ 1 (pow r 2)))))
2
(+ 2 (* 3 (pow r 2)))
(+ 2 (* 3 (pow r 2)))
(+ 2 (* 3 (pow r 2)))
(* 3 (pow r 2))
(* (pow r 2) (+ 3 (* 2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ 3 (* 2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ 3 (* 2 (/ 1 (pow r 2)))))
(* 3 (pow r 2))
(* (pow r 2) (+ 3 (* 2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ 3 (* 2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ 3 (* 2 (/ 1 (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))
(* (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)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* 2 (/ 1 (pow r 2))) (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))) 3/2)
(- (+ (* 2 (/ 1 (pow r 2))) (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))) 3/2)
(- (+ (* 2 (/ 1 (pow r 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)))
(* (pow w 2) (- (+ (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(* (pow w 2) (- (+ (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* 1/8 (/ (* (pow r 2) (pow w 2)) v))
(/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2))) v)
(/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2))) v)
(/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2))) 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 (/ (* (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))) (* 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)
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
-3/2
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
-3/2
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
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(+ (* -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)))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* 3/8 (* (pow r 2) (pow w 2)))
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 3/8 (* (pow r 2) (pow w 2)))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
Outputs
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal -3/2 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 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (+.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) v))))) (*.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 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (+.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) v))))) (*.f64 r r))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) v))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(+.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) v)))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(+.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) v))))) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(+.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) v))))) #s(literal -3/2 binary64))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) v))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(+.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) v)))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(+.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) v))))) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(+.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) v))))) #s(literal -3/2 binary64))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)))))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 #s(literal -1/8 binary64) v) #s(literal 3/8 binary64)))) #s(literal -3/2 binary64))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(+.f64 (+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64))))) (*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/8 binary64) v)) (+.f64 v #s(literal 1 binary64))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(+.f64 (*.f64 v (*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/8 binary64) v)) (+.f64 v #s(literal 1 binary64)))) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 #s(literal -1/8 binary64) v) #s(literal 3/8 binary64)))) #s(literal -3/2 binary64)))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(+.f64 #s(literal -3/2 binary64) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64))) v))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w) w) (*.f64 v (*.f64 v v))) (+.f64 (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64))) v) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 #s(literal -3/2 binary64) (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64))) v))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w) w) (/.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64))) v)) v)))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) 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))))))
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(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(*.f64 (*.f64 r r) (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) (*.f64 w w)))

eval395.0ms (2.7%)

Memory
-5.7MiB live, 459.8MiB allocated
Compiler

Compiled 68 311 to 2 988 computations (95.6% saved)

prune266.0ms (1.8%)

Memory
40.9MiB live, 312.5MiB allocated
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New1 758151 773
Fresh358
Picked415
Done000
Total1 765211 786
Accuracy
100.0%
Counts
1 786 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.0%
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
17.0%
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w) w) v)
32.8%
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) v))
44.0%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
89.7%
(-.f64 (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 r (*.f64 r w))) #s(literal -1 binary64)) (/.f64 w (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64))
8.1%
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 r r) #s(literal 3 binary64)) r) r) #s(literal 9/2 binary64))
46.6%
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 9/2 binary64))
12.7%
(-.f64 (/.f64 (*.f64 r #s(literal 3 binary64)) r) #s(literal 9/2 binary64))
74.7%
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))))
75.9%
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))))
92.1%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) w)) r) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
82.0%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
78.3%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 r w) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
80.0%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
45.4%
(-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v))))
84.7%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r (*.f64 r w))))))
83.9%
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r))
55.6%
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
43.0%
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))))
27.1%
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))
12.7%
#s(literal -3/2 binary64)
Compiler

Compiled 782 to 566 computations (27.6% saved)

simplify418.0ms (2.8%)

Memory
-25.6MiB live, 450.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 r r)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff0
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff0
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r))
cost-diff0
(*.f64 r (*.f64 w w))
cost-diff0
(*.f64 r (*.f64 r (*.f64 w w)))
cost-diff0
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))
cost-diff0
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))))
cost-diff0
(/.f64 #s(literal 2 binary64) r)
cost-diff0
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
cost-diff0
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 9/2 binary64))
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff0
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff0
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) w)) r) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)))
cost-diff128
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) w)) r) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Rules
10 080×accelerator-lowering-fma.f32
10 080×accelerator-lowering-fma.f64
5 468×*-lowering-*.f32
5 468×*-lowering-*.f64
2 752×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042310
1103310
2270308
31153308
44146308
08164297
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) (- 1 v))) 9/2)
(- (+ 3 (/ 2 (* r r))) (/ (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) (- 1 v)))
(+ 3 (/ 2 (* r r)))
3
(/ 2 (* r r))
2
(* r r)
r
(/ (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) (- 1 v))
(* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w))
(* (* (+ 3 (* v -2)) (* 1/8 w)) r)
(* (+ 3 (* v -2)) (* 1/8 w))
(+ 3 (* v -2))
(* v -2)
v
-2
(* 1/8 w)
1/8
w
(* r w)
(- 1 v)
1
9/2
-3/2
(- (/ (/ 2 r) r) 9/2)
(/ (/ 2 r) r)
(/ 2 r)
2
r
9/2
(+ -3/2 (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)))
-3/2
(* (* r (* r (* w w))) (- (/ 1/8 v) 1/4))
(* r (* r (* w w)))
r
(* r (* w w))
(* w w)
w
(- (/ 1/8 v) 1/4)
(/ 1/8 v)
1/8
v
1/4
(+ (+ -3/2 (/ 2 (* r r))) (* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r))
(+ -3/2 (/ 2 (* r r)))
-3/2
(/ 2 (* r r))
2
(* r r)
r
(* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r)
(* (+ (/ 1/8 v) -1/4) (* w (* r w)))
(+ (/ 1/8 v) -1/4)
(/ 1/8 v)
1/8
v
-1/4
(* w (* r w))
w
(* r w)
Outputs
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) (- 1 v))) 9/2)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 r (*.f64 w (*.f64 r (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) w))))) (+.f64 v #s(literal -1 binary64)))))
(- (+ 3 (/ 2 (* r r))) (/ (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) (- 1 v)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 r (*.f64 w (*.f64 r (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) w))))) (+.f64 v #s(literal -1 binary64)))))
(+ 3 (/ 2 (* r r)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
3
#s(literal 3 binary64)
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
r
(/ (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) (- 1 v))
(/.f64 (*.f64 r (*.f64 w (*.f64 r (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) w))))) (-.f64 #s(literal 1 binary64) v))
(* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w))
(*.f64 r (*.f64 w (*.f64 r (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) w)))))
(* (* (+ 3 (* v -2)) (* 1/8 w)) r)
(*.f64 r (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) w)))
(* (+ 3 (* v -2)) (* 1/8 w))
(*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) w))
(+ 3 (* v -2))
(+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64)))
(* v -2)
(*.f64 v #s(literal -2 binary64))
v
-2
#s(literal -2 binary64)
(* 1/8 w)
(*.f64 #s(literal 1/8 binary64) w)
1/8
#s(literal 1/8 binary64)
w
(* r w)
(*.f64 r w)
(- 1 v)
(-.f64 #s(literal 1 binary64) v)
1
#s(literal 1 binary64)
9/2
#s(literal 9/2 binary64)
-3/2
#s(literal -3/2 binary64)
(- (/ (/ 2 r) r) 9/2)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -9/2 binary64))
(/ (/ 2 r) r)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 r)
(/.f64 #s(literal 2 binary64) r)
2
#s(literal 2 binary64)
r
9/2
#s(literal 9/2 binary64)
(+ -3/2 (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))))
-3/2
#s(literal -3/2 binary64)
(* (* r (* r (* w w))) (- (/ 1/8 v) 1/4))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(* r (* r (* w w)))
(*.f64 r (*.f64 r (*.f64 w w)))
r
(* r (* w w))
(*.f64 r (*.f64 w w))
(* w w)
(*.f64 w w)
w
(- (/ 1/8 v) 1/4)
(+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))
(/ 1/8 v)
(/.f64 #s(literal 1/8 binary64) v)
1/8
#s(literal 1/8 binary64)
v
1/4
#s(literal 1/4 binary64)
(+ (+ -3/2 (/ 2 (* r r))) (* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))))
(+ -3/2 (/ 2 (* r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
-3/2
#s(literal -3/2 binary64)
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
r
(* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r)
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(* (+ (/ 1/8 v) -1/4) (* w (* r w)))
(*.f64 (*.f64 r w) (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))))
(+ (/ 1/8 v) -1/4)
(+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))
(/ 1/8 v)
(/.f64 #s(literal 1/8 binary64) v)
1/8
#s(literal 1/8 binary64)
v
-1/4
#s(literal -1/4 binary64)
(* w (* r w))
(*.f64 r (*.f64 w w))
w
(* r w)
(*.f64 r w)

localize239.0ms (1.6%)

Memory
15.8MiB live, 171.8MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 w (*.f64 r w))
accuracy99.4%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy96.1%
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w)))
accuracy92.7%
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r)
accuracy100.0%
(*.f64 w w)
accuracy96.2%
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))
accuracy92.6%
(*.f64 r (*.f64 r (*.f64 w w)))
accuracy88.9%
(*.f64 r (*.f64 w w))
accuracy100.0%
(/.f64 #s(literal 2 binary64) r)
accuracy100.0%
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 9/2 binary64))
accuracy99.8%
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
accuracy99.8%
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) w)) r) (*.f64 r w))
accuracy99.4%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy98.2%
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) w)) r)
accuracy93.0%
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) w)) r) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))
Samples
135.0ms238×0valid
6.0ms2valid
5.0ms10×1valid
Compiler

Compiled 312 to 44 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
ival-mult: 96.0ms (79.5% of total)
ival-div: 9.0ms (7.5% of total)
ival-add: 7.0ms (5.8% of total)
ival-sub: 6.0ms (5% of total)
adjust: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series43.0ms (0.3%)

Memory
-4.5MiB live, 34.7MiB allocated
Counts
21 → 528
Calls
Call 1
Inputs
#<alt (- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) (- 1 v))) 9/2)>
#<alt (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) (- 1 v)))>
#<alt (+ 3 (/ 2 (* r r)))>
#<alt (/ 2 (* r r))>
#<alt (- (/ (/ 2 r) r) 9/2)>
#<alt (/ (/ 2 r) r)>
#<alt (/ 2 r)>
#<alt (+ -3/2 (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)))>
#<alt (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4))>
#<alt (* r (* r (* w w)))>
#<alt (* r (* w w))>
#<alt (+ (+ -3/2 (/ 2 (* r r))) (* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r))>
#<alt (+ -3/2 (/ 2 (* r r)))>
#<alt (* r r)>
#<alt (/ (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) (- 1 v))>
#<alt (* (* (+ 3 (* v -2)) (* 1/8 w)) r)>
#<alt (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w))>
#<alt (* w w)>
#<alt (* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r)>
#<alt (* (+ (/ 1/8 v) -1/4) (* w (* r w)))>
#<alt (* w (* r w))>
Outputs
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))>
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))>
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))>
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt 3>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt 3>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -9/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* -9/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* -9/2 (pow r 2))) (pow r 2))>
#<alt -9/2>
#<alt (- (* 2 (/ 1 (pow r 2))) 9/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 9/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 9/2)>
#<alt -9/2>
#<alt (- (* 2 (/ 1 (pow r 2))) 9/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 9/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 9/2)>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt -3/2>
#<alt (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2)>
#<alt (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2)>
#<alt (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2)>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt -3/2>
#<alt (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2)>
#<alt (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2)>
#<alt (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2)>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* 1/8 (/ (* (pow r 2) (pow w 2)) v))>
#<alt (/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) v)>
#<alt (/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) v)>
#<alt (/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) v)>
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2)>
#<alt (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) 3/2)>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* 1/8 (/ (* (pow r 2) (pow w 2)) v))>
#<alt (/ (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (pow r 2) (pow w 2)))) v)>
#<alt (/ (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (pow r 2) (pow w 2)))) v)>
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#<alt (/ (+ (* -1/4 (* r (* v (pow w 2)))) (* 1/8 (* r (pow w 2)))) v)>
#<alt (/ (+ (* -1/4 (* r (* v (pow w 2)))) (* 1/8 (* r (pow w 2)))) v)>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v)))>
#<alt (+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v)))>
#<alt (+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v)))>
#<alt (+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v)))>
#<alt (+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v)))>
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
Calls

132 calls:

TimeVariablePointExpression
15.0ms
v
@0
(* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w))
1.0ms
r
@0
(/ (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) (- 1 v))
1.0ms
r
@0
(* (* (+ 3 (* v -2)) (* 1/8 w)) r)
1.0ms
w
@0
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) (- 1 v))) 9/2)
1.0ms
w
@inf
(* (* (+ 3 (* v -2)) (* 1/8 w)) r)

rewrite662.0ms (4.4%)

Memory
4.5MiB live, 883.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 780×accelerator-lowering-fma.f32
7 780×accelerator-lowering-fma.f64
4 854×/-lowering-/.f32
4 854×/-lowering-/.f64
4 332×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042231
1277213
22440213
09179200
Stop Event
iter limit
node limit
Counts
21 → 700
Calls
Call 1
Inputs
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) (- 1 v))) 9/2)
(- (+ 3 (/ 2 (* r r))) (/ (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) (- 1 v)))
(+ 3 (/ 2 (* r r)))
(/ 2 (* r r))
(- (/ (/ 2 r) r) 9/2)
(/ (/ 2 r) r)
(/ 2 r)
(+ -3/2 (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)))
(* (* r (* r (* w w))) (- (/ 1/8 v) 1/4))
(* r (* r (* w w)))
(* r (* w w))
(+ (+ -3/2 (/ 2 (* r r))) (* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r))
(+ -3/2 (/ 2 (* r r)))
(* r r)
(/ (* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w)) (- 1 v))
(* (* (+ 3 (* v -2)) (* 1/8 w)) r)
(* (* (* (+ 3 (* v -2)) (* 1/8 w)) r) (* r w))
(* w w)
(* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r)
(* (+ (/ 1/8 v) -1/4) (* w (* r w)))
(* w (* r w))
Outputs
(+.f64 #s(literal 3 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64)))
(+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(+.f64 #s(literal 3 binary64) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 (*.f64 (/.f64 (*.f64 r w) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) 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 r w) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(+.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)))) #s(literal -9/2 binary64))
(+.f64 #s(literal -9/2 binary64) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)))))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))
(-.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)))))) (+.f64 (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))))) (+.f64 #s(literal 81/4 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))))) (/.f64 #s(literal 729/8 binary64) (+.f64 (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))))) (+.f64 #s(literal 81/4 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) (/.f64 #s(literal 81/4 binary64) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))))
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(*.f64 r (*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))))
(*.f64 w (*.f64 (*.f64 r w) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))))
(*.f64 (*.f64 r w) (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))))
(*.f64 (*.f64 w w) (*.f64 r (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r (*.f64 w w)))
(*.f64 (*.f64 r (*.f64 w w)) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(*.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) (*.f64 r w))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r) (*.f64 w w))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r w)) w)
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w w)) r)
(*.f64 (*.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) r) w)
(*.f64 (*.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) w) r)
(*.f64 r (*.f64 w w))
(*.f64 w (*.f64 r w))
(*.f64 (*.f64 r w) w)
(*.f64 (*.f64 w w) r)

simplify680.0ms (4.6%)

Memory
17.6MiB live, 1 102.0MiB allocated
Algorithm
egg-herbie
Rules
17 894×accelerator-lowering-fma.f32
17 894×accelerator-lowering-fma.f64
5 698×+-lowering-+.f64
5 698×+-lowering-+.f32
4 760×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02867848
19187495
231416990
083466693
Stop Event
iter limit
node limit
Counts
528 → 528
Calls
Call 1
Inputs
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
3
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
3
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -9/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* -9/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* -9/2 (pow r 2))) (pow r 2))
-9/2
(- (* 2 (/ 1 (pow r 2))) 9/2)
(- (* 2 (/ 1 (pow r 2))) 9/2)
(- (* 2 (/ 1 (pow r 2))) 9/2)
-9/2
(- (* 2 (/ 1 (pow r 2))) 9/2)
(- (* 2 (/ 1 (pow r 2))) 9/2)
(- (* 2 (/ 1 (pow r 2))) 9/2)
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
-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)
(* (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)))))
(* (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)))))
-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)
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2)))))
(* 1/8 (/ (* (pow r 2) (pow w 2)) v))
(/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) v)
(/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) v)
(/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) v)
(- (* -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) (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)
(* (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) (- (* 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) (- (* 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) (- (* 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) (- (* 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) (- (* 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)))
(* 1/8 (/ (* (pow r 2) (pow w 2)) v))
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(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
Outputs
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r #s(literal -3/2 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 (+.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v)))))))) (*.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 (+.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v)))))))) (*.f64 r r))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v)))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(+.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(+.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))) #s(literal -3/2 binary64))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v)))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(+.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(+.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))) #s(literal -3/2 binary64))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)))))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 #s(literal -1/8 binary64) v) #s(literal 3/8 binary64)))) #s(literal -3/2 binary64))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(+.f64 (+.f64 (*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/8 binary64) v)) (+.f64 v #s(literal 1 binary64))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (*.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(+.f64 (*.f64 v (*.f64 (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (*.f64 #s(literal -1/8 binary64) v)) (+.f64 v #s(literal 1 binary64)))) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 #s(literal -1/8 binary64) v) #s(literal 3/8 binary64)))) #s(literal -3/2 binary64)))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(+.f64 #s(literal -3/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))) (*.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 r r) 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)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/8 binary64))) (*.f64 v (*.f64 v v))) (+.f64 #s(literal -3/2 binary64) (+.f64 (*.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 r r) v)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64))) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #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)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 #s(literal -3/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))) (*.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 r r) 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)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 #s(literal -3/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))) (/.f64 (+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 r r) v)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)))) v)))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) 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))))))
(*.f64 (*.f64 w w) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (+.f64 (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) 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))))))
(*.f64 (*.f64 w w) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (+.f64 (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) 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))))))
(*.f64 (*.f64 w w) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (+.f64 (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) 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))))))
(*.f64 (*.f64 w w) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (+.f64 (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) 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))))))
(*.f64 (*.f64 w w) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (+.f64 (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) 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))))))
(*.f64 (*.f64 w w) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 w w)) (+.f64 (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 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 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))))) (*.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 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))))) (*.f64 r r))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))
(*.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 r r)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))
(*.f64 r (*.f64 r (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 r r))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))
(*.f64 r (*.f64 r (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 r r))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))
(*.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 r r)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))
(*.f64 r (*.f64 r (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 r r))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))
(*.f64 r (*.f64 r (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 r r))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
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(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(* 1/8 (/ (* r (pow w 2)) v))
(/.f64 (*.f64 r (*.f64 (*.f64 w w) #s(literal 1/8 binary64))) v)
(/ (+ (* -1/4 (* r (* v (pow w 2)))) (* 1/8 (* r (pow w 2)))) v)
(/.f64 (*.f64 (*.f64 w w) (+.f64 (*.f64 r #s(literal 1/8 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 r v)))) v)
(/ (+ (* -1/4 (* r (* v (pow w 2)))) (* 1/8 (* r (pow w 2)))) v)
(/.f64 (*.f64 (*.f64 w w) (+.f64 (*.f64 r #s(literal 1/8 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 r v)))) v)
(/ (+ (* -1/4 (* r (* v (pow w 2)))) (* 1/8 (* r (pow w 2)))) v)
(/.f64 (*.f64 (*.f64 w w) (+.f64 (*.f64 r #s(literal 1/8 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 r v)))) v)
(* -1/4 (* r (pow w 2)))
(*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))
(+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(* -1/4 (* r (pow w 2)))
(*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))
(+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(+ (* -1/4 (* r (pow w 2))) (* 1/8 (/ (* r (pow w 2)) v)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(* r (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(*.f64 (*.f64 w w) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))
(* r (pow w 2))
(*.f64 r (*.f64 w w))

eval170.0ms (1.1%)

Memory
11.8MiB live, 480.9MiB allocated
Compiler

Compiled 44 189 to 2 626 computations (94.1% saved)

prune188.0ms (1.3%)

Memory
-5.1MiB live, 350.1MiB allocated
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New1 283101 293
Fresh7815
Picked415
Done011
Total1 294201 314
Accuracy
100.0%
Counts
1 314 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.0%
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
17.0%
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w) w) v)
32.8%
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) v))
44.0%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
74.7%
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))))
89.1%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))) w) r) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
80.0%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
96.5%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))))) #s(literal 9/2 binary64))
50.1%
(-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) w)) r) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
45.4%
(-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v))))
84.7%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r (*.f64 r w))))))
83.2%
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) r))
55.6%
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
44.7%
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r))
42.1%
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 r (*.f64 r w)) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))))
44.3%
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))))
39.3%
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))
33.4%
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
12.7%
#s(literal -3/2 binary64)
4.1%
#s(literal -9/2 binary64)
Compiler

Compiled 704 to 506 computations (28.1% saved)

simplify296.0ms (2%)

Memory
-27.4MiB live, 520.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r (*.f64 r w)))))
cost-diff0
(*.f64 r r)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff0
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r (*.f64 r w))))))
cost-diff0
(+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))
cost-diff0
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w)))
cost-diff0
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r)
cost-diff0
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r))
cost-diff0
(*.f64 (*.f64 r r) #s(literal 1/8 binary64))
cost-diff0
(*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w)
cost-diff0
(*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w) w)
cost-diff0
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w) w) v)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff0
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff0
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w)))))
cost-diff128
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))))) #s(literal 9/2 binary64))
Rules
9 244×accelerator-lowering-fma.f32
9 244×accelerator-lowering-fma.f64
6 078×*-lowering-*.f32
6 078×*-lowering-*.f64
1 838×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041327
1106327
2334325
31637325
45961325
08031315
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (- (+ 3 (/ 2 (* r r))) (* (/ (* r w) (- 1 v)) (* (+ 3 (* v -2)) (* r (* 1/8 w))))) 9/2)
(- (+ 3 (/ 2 (* r r))) (* (/ (* r w) (- 1 v)) (* (+ 3 (* v -2)) (* r (* 1/8 w)))))
(+ 3 (/ 2 (* r r)))
3
(/ 2 (* r r))
2
(* r r)
r
(* (/ (* r w) (- 1 v)) (* (+ 3 (* v -2)) (* r (* 1/8 w))))
(/ (* r w) (- 1 v))
(* r w)
w
(- 1 v)
1
v
(* (+ 3 (* v -2)) (* r (* 1/8 w)))
(+ 3 (* v -2))
(* v -2)
-2
(* r (* 1/8 w))
(* 1/8 w)
1/8
9/2
-9/2
(/ (* (* (* (* r r) 1/8) w) w) v)
(* (* (* (* r r) 1/8) w) w)
(* (* (* r r) 1/8) w)
(* (* r r) 1/8)
(* r r)
r
1/8
w
v
(+ -3/2 (* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r))
-3/2
(* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r)
(* (+ (/ 1/8 v) -1/4) (* w (* r w)))
(+ (/ 1/8 v) -1/4)
(/ 1/8 v)
1/8
v
-1/4
(* w (* r w))
w
(* r w)
r
(+ (/ 2 (* r r)) (+ -3/2 (* (+ (/ 1/8 v) -1/4) (* w (* r (* r w))))))
(/ 2 (* r r))
2
(* r r)
r
(+ -3/2 (* (+ (/ 1/8 v) -1/4) (* w (* r (* r w)))))
-3/2
(* (+ (/ 1/8 v) -1/4) (* w (* r (* r w))))
(+ (/ 1/8 v) -1/4)
(/ 1/8 v)
1/8
v
-1/4
(* w (* r (* r w)))
w
(* r (* r w))
(* r w)
Outputs
(- (- (+ 3 (/ 2 (* r r))) (* (/ (* r w) (- 1 v)) (* (+ 3 (* v -2)) (* r (* 1/8 w))))) 9/2)
(+.f64 (*.f64 (*.f64 r w) (/.f64 (*.f64 r (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w #s(literal 1/8 binary64)))) (+.f64 v #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(- (+ 3 (/ 2 (* r r))) (* (/ (* r w) (- 1 v)) (* (+ 3 (* v -2)) (* r (* 1/8 w)))))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 w (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (/.f64 (*.f64 r (*.f64 w #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v))))
(+ 3 (/ 2 (* r r)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
3
#s(literal 3 binary64)
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
r
(* (/ (* r w) (- 1 v)) (* (+ 3 (* v -2)) (* r (* 1/8 w))))
(*.f64 (*.f64 r (*.f64 w (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (/.f64 (*.f64 r (*.f64 w #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)))
(/ (* r w) (- 1 v))
(/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v))
(* r w)
(*.f64 r w)
w
(- 1 v)
(-.f64 #s(literal 1 binary64) v)
1
#s(literal 1 binary64)
v
(* (+ 3 (* v -2)) (* r (* 1/8 w)))
(*.f64 r (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w #s(literal 1/8 binary64))))
(+ 3 (* v -2))
(+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64)))
(* v -2)
(*.f64 v #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(* r (* 1/8 w))
(*.f64 r (*.f64 w #s(literal 1/8 binary64)))
(* 1/8 w)
(*.f64 w #s(literal 1/8 binary64))
1/8
#s(literal 1/8 binary64)
9/2
#s(literal 9/2 binary64)
-9/2
#s(literal -9/2 binary64)
(/ (* (* (* (* r r) 1/8) w) w) v)
(/.f64 (*.f64 r (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w)))) v)
(* (* (* (* r r) 1/8) w) w)
(*.f64 r (*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 r w))))
(* (* (* r r) 1/8) w)
(*.f64 (*.f64 r r) (*.f64 w #s(literal 1/8 binary64)))
(* (* r r) 1/8)
(*.f64 r (*.f64 r #s(literal 1/8 binary64)))
(* r r)
(*.f64 r r)
r
1/8
#s(literal 1/8 binary64)
w
v
(+ -3/2 (* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r))
(+.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))))
-3/2
#s(literal -3/2 binary64)
(* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r)
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))
(* (+ (/ 1/8 v) -1/4) (* w (* r w)))
(*.f64 (*.f64 r w) (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))))
(+ (/ 1/8 v) -1/4)
(+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))
(/ 1/8 v)
(/.f64 #s(literal 1/8 binary64) v)
1/8
#s(literal 1/8 binary64)
v
-1/4
#s(literal -1/4 binary64)
(* w (* r w))
(*.f64 w (*.f64 r w))
w
(* r w)
(*.f64 r w)
r
(+ (/ 2 (* r r)) (+ -3/2 (* (+ (/ 1/8 v) -1/4) (* w (* r (* r w))))))
(+.f64 #s(literal -3/2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))))
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
r
(+ -3/2 (* (+ (/ 1/8 v) -1/4) (* w (* r (* r w)))))
(+.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))))
-3/2
#s(literal -3/2 binary64)
(* (+ (/ 1/8 v) -1/4) (* w (* r (* r w))))
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))
(+ (/ 1/8 v) -1/4)
(+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))
(/ 1/8 v)
(/.f64 #s(literal 1/8 binary64) v)
1/8
#s(literal 1/8 binary64)
v
-1/4
#s(literal -1/4 binary64)
(* w (* r (* r w)))
(*.f64 r (*.f64 w (*.f64 r w)))
w
(* r (* r w))
(*.f64 r (*.f64 r w))
(* r w)
(*.f64 r w)

localize144.0ms (1%)

Memory
-4.2MiB live, 271.1MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 r (*.f64 r w))
accuracy99.4%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy96.2%
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r (*.f64 r w))))
accuracy95.2%
(*.f64 w (*.f64 r (*.f64 r w)))
accuracy100.0%
(*.f64 r w)
accuracy99.8%
(*.f64 w (*.f64 r w))
accuracy96.1%
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w)))
accuracy92.7%
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r)
accuracy100.0%
(*.f64 r r)
accuracy95.2%
(*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w) w)
accuracy92.1%
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w) w) v)
accuracy86.0%
(*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w)
accuracy99.4%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy95.9%
(/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v))
accuracy95.5%
(*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w)))
accuracy95.1%
(*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))))
Samples
77.0ms256×0valid
Compiler

Compiled 329 to 43 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 27.0ms (56.6% of total)
ival-div: 7.0ms (14.7% of total)
ival-add: 7.0ms (14.7% of total)
ival-sub: 6.0ms (12.6% of total)
exact: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series40.0ms (0.3%)

Memory
6.7MiB live, 86.3MiB allocated
Counts
23 → 636
Calls
Call 1
Inputs
#<alt (- (- (+ 3 (/ 2 (* r r))) (* (/ (* r w) (- 1 v)) (* (+ 3 (* v -2)) (* r (* 1/8 w))))) 9/2)>
#<alt (- (+ 3 (/ 2 (* r r))) (* (/ (* r w) (- 1 v)) (* (+ 3 (* v -2)) (* r (* 1/8 w)))))>
#<alt (+ 3 (/ 2 (* r r)))>
#<alt (/ 2 (* r r))>
#<alt (/ (* (* (* (* r r) 1/8) w) w) v)>
#<alt (* (* (* (* r r) 1/8) w) w)>
#<alt (* (* (* r r) 1/8) w)>
#<alt (* (* r r) 1/8)>
#<alt (+ -3/2 (* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r))>
#<alt (* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r)>
#<alt (* (+ (/ 1/8 v) -1/4) (* w (* r w)))>
#<alt (+ (/ 1/8 v) -1/4)>
#<alt (+ (/ 2 (* r r)) (+ -3/2 (* (+ (/ 1/8 v) -1/4) (* w (* r (* r w))))))>
#<alt (* r r)>
#<alt (+ -3/2 (* (+ (/ 1/8 v) -1/4) (* w (* r (* r w)))))>
#<alt (* (/ (* r w) (- 1 v)) (* (+ 3 (* v -2)) (* r (* 1/8 w))))>
#<alt (* (+ 3 (* v -2)) (* r (* 1/8 w)))>
#<alt (/ (* r w) (- 1 v))>
#<alt (* w (* r w))>
#<alt (* r w)>
#<alt (* w (* r (* r w)))>
#<alt (* (+ (/ 1/8 v) -1/4) (* w (* r (* r w))))>
#<alt (* r (* r w))>
Outputs
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))>
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))>
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))>
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt 3>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt 3>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (* 1/8 (/ (* (pow r 2) (pow w 2)) v))>
#<alt (* 1/8 (/ (* (pow r 2) (pow w 2)) v))>
#<alt (* 1/8 (/ (* (pow r 2) (pow w 2)) v))>
#<alt (* 1/8 (/ (* (pow r 2) (pow w 2)) v))>
#<alt (* 1/8 (/ (* (pow r 2) (pow w 2)) v))>
#<alt (* 1/8 (/ (* (pow r 2) (pow w 2)) v))>
#<alt (* 1/8 (/ (* (pow r 2) (pow w 2)) v))>
#<alt (* 1/8 (/ (* (pow r 2) (pow w 2)) v))>
#<alt (* 1/8 (/ (* (pow r 2) (pow w 2)) v))>
#<alt (* 1/8 (/ (* (pow r 2) (pow w 2)) v))>
#<alt (* 1/8 (/ (* (pow r 2) (pow w 2)) v))>
#<alt (* 1/8 (/ (* (pow r 2) (pow w 2)) v))>
#<alt (* 1/8 (/ (* (pow r 2) (pow w 2)) v))>
#<alt (* 1/8 (/ (* (pow r 2) (pow w 2)) v))>
#<alt (* 1/8 (/ (* (pow r 2) (pow w 2)) v))>
#<alt (* 1/8 (/ (* (pow r 2) (pow w 2)) v))>
#<alt (* 1/8 (/ (* (pow r 2) (pow w 2)) v))>
#<alt (* 1/8 (/ (* (pow r 2) (pow w 2)) v))>
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#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))>
#<alt (* 3/8 (* (pow r 2) (pow w 2)))>
#<alt (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))>
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))>
#<alt (* 1/4 (* (pow r 2) (pow w 2)))>
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (* 1/4 (* (pow r 2) (pow w 2)))>
#<alt (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (* 3/8 (* r w))>
#<alt (+ (* -1/4 (* r (* v w))) (* 3/8 (* r w)))>
#<alt (+ (* -1/4 (* r (* v w))) (* 3/8 (* r w)))>
#<alt (+ (* -1/4 (* r (* v w))) (* 3/8 (* r w)))>
#<alt (* -1/4 (* r (* v w)))>
#<alt (* v (+ (* -1/4 (* r w)) (* 3/8 (/ (* r w) v))))>
#<alt (* v (+ (* -1/4 (* r w)) (* 3/8 (/ (* r w) v))))>
#<alt (* v (+ (* -1/4 (* r w)) (* 3/8 (/ (* r w) v))))>
#<alt (* -1/4 (* r (* v w)))>
#<alt (* -1 (* v (+ (* -3/8 (/ (* r w) v)) (* 1/4 (* r w)))))>
#<alt (* -1 (* v (+ (* -3/8 (/ (* r w) v)) (* 1/4 (* r w)))))>
#<alt (* -1 (* v (+ (* -3/8 (/ (* r w) v)) (* 1/4 (* r w)))))>
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))>
#<alt (* 1/8 (* r (* w (+ 3 (* -2 v)))))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (/ (* r w) (- 1 v))>
#<alt (* r w)>
#<alt (+ (* r w) (* r (* v w)))>
#<alt (+ (* r w) (* v (- (* r (* v w)) (* -1 (* r w)))))>
#<alt (+ (* r w) (* v (- (* v (- (* r (* v w)) (* -1 (* r w)))) (* -1 (* r w)))))>
#<alt (* -1 (/ (* r w) v))>
#<alt (/ (+ (* -1 (* r w)) (* -1 (/ (* r w) v))) v)>
#<alt (/ (- (+ (* -1 (* r w)) (* -1 (/ (* r w) (pow v 2)))) (/ (* r w) v)) v)>
#<alt (/ (- (+ (* -1 (* r w)) (* -1 (/ (* r w) (pow v 3)))) (+ (/ (* r w) v) (/ (* r w) (pow v 2)))) v)>
#<alt (* -1 (/ (* r w) v))>
#<alt (* -1 (/ (+ (* r w) (/ (* r w) v)) v))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r w) v)) (* r w)) v)) (* r w)) v))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r w) v) (* -1 (* r w))) v)) (* r w)) v)) (* r w)) v))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* 1/8 (/ (* (pow r 2) (pow w 2)) v))>
#<alt (/ (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (pow r 2) (pow w 2)))) v)>
#<alt (/ (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (pow r 2) (pow w 2)))) v)>
#<alt (/ (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (pow r 2) (pow w 2)))) v)>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v)))>
#<alt (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v)))>
#<alt (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v)))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v)))>
#<alt (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v)))>
#<alt (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
Calls

159 calls:

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

rewrite432.0ms (2.9%)

Memory
35.1MiB live, 778.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 706×accelerator-lowering-fma.f32
4 706×accelerator-lowering-fma.f64
4 140×*-lowering-*.f32
4 140×*-lowering-*.f64
3 984×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040253
1243237
22310237
08204225
Stop Event
iter limit
node limit
Counts
23 → 708
Calls
Call 1
Inputs
(- (- (+ 3 (/ 2 (* r r))) (* (/ (* r w) (- 1 v)) (* (+ 3 (* v -2)) (* r (* 1/8 w))))) 9/2)
(- (+ 3 (/ 2 (* r r))) (* (/ (* r w) (- 1 v)) (* (+ 3 (* v -2)) (* r (* 1/8 w)))))
(+ 3 (/ 2 (* r r)))
(/ 2 (* r r))
(/ (* (* (* (* r r) 1/8) w) w) v)
(* (* (* (* r r) 1/8) w) w)
(* (* (* r r) 1/8) w)
(* (* r r) 1/8)
(+ -3/2 (* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r))
(* (* (+ (/ 1/8 v) -1/4) (* w (* r w))) r)
(* (+ (/ 1/8 v) -1/4) (* w (* r w)))
(+ (/ 1/8 v) -1/4)
(+ (/ 2 (* r r)) (+ -3/2 (* (+ (/ 1/8 v) -1/4) (* w (* r (* r w))))))
(* r r)
(+ -3/2 (* (+ (/ 1/8 v) -1/4) (* w (* r (* r w)))))
(* (/ (* r w) (- 1 v)) (* (+ 3 (* v -2)) (* r (* 1/8 w))))
(* (+ 3 (* v -2)) (* r (* 1/8 w)))
(/ (* r w) (- 1 v))
(* w (* r w))
(* r w)
(* w (* r (* r w)))
(* (+ (/ 1/8 v) -1/4) (* w (* r (* r w))))
(* r (* r w))
Outputs
(+.f64 #s(literal 3 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w))) #s(literal -9/2 binary64)))
(+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)) #s(literal 9/2 binary64))))
(+.f64 #s(literal 3 binary64) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w))) #s(literal 9/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)) #s(literal 9/2 binary64))))
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (neg.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)) #s(literal 9/2 binary64))))
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w))) #s(literal -9/2 binary64)))
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w))) #s(literal 9/2 binary64)))
(+.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w)))) #s(literal -9/2 binary64))
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(*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) v))
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(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 w (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) v))))
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(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 w (-.f64 #s(literal 1 binary64) v)))
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(*.f64 w (*.f64 r w))
(*.f64 (*.f64 r w) w)
(*.f64 (*.f64 w w) r)
(*.f64 r w)
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(exp.f64 (*.f64 (log.f64 (*.f64 r w)) #s(literal 2 binary64)))
(pow.f64 (*.f64 r w) #s(literal 2 binary64))
(*.f64 r (*.f64 w (*.f64 r w)))
(*.f64 (*.f64 r r) (*.f64 w w))
(*.f64 w (*.f64 r (*.f64 r w)))
(*.f64 (*.f64 r w) (*.f64 r w))
(*.f64 (*.f64 w (*.f64 r w)) r)
(*.f64 (*.f64 r (*.f64 r w)) w)
(*.f64 (*.f64 w w) (*.f64 r r))
(+.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -1/4 binary64)))
(+.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -1/4 binary64)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1/8 binary64) v)))
(+.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w (*.f64 r w)))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w (*.f64 r w)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w (*.f64 r w)))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w (*.f64 r w)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w (*.f64 r w))) (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w (*.f64 r w)))))
(fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1/8 binary64) v) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -1/4 binary64) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1/8 binary64) v)))
(/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/32 binary64) v))))
(/.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) #s(literal -1/16 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/32 binary64) v))))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) #s(literal -1/16 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/32 binary64) v)))))
(/.f64 (neg.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) #s(literal -1/16 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 v (*.f64 v v))) #s(literal -1/64 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/32 binary64) v)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 v v)) #s(literal -1/16 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1/8 binary64) v)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -1/4 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1/8 binary64) v))) (-.f64 (*.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -1/4 binary64)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -1/4 binary64))) (*.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -1/4 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1/8 binary64) v)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -1/4 binary64)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -1/4 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1/8 binary64) v))) (*.f64 (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal -1/4 binary64)) (*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1/8 binary64) v))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w (*.f64 r w)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w (*.f64 r w)))) (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w (*.f64 r w))))) (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w (*.f64 r w))))) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w (*.f64 r w)))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w (*.f64 r w))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w (*.f64 r w)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w (*.f64 r w))))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w (*.f64 r w)))) (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w (*.f64 r w))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w (*.f64 r w)))) (*.f64 (/.f64 #s(literal 1/8 binary64) v) (*.f64 r (*.f64 w (*.f64 r w))))))))
(*.f64 r (*.f64 (*.f64 r w) (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))))
(*.f64 w (*.f64 (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))))
(*.f64 (*.f64 r w) (*.f64 (*.f64 r w) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r (*.f64 w (*.f64 r w))))
(*.f64 (*.f64 w (*.f64 r w)) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) r))
(*.f64 (*.f64 (*.f64 r w) (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) r)
(*.f64 (*.f64 r (*.f64 r w)) (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))))
(*.f64 (*.f64 r (*.f64 w (*.f64 r w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(*.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) (*.f64 r (*.f64 r w)))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r w)) (*.f64 r w))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w))) w)
(*.f64 (*.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) r) (*.f64 r w))
(*.f64 (*.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) (*.f64 r r)) w)
(*.f64 (*.f64 r (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) (*.f64 w (*.f64 r w)))
(*.f64 (*.f64 r (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) (*.f64 r w))
(*.f64 r (*.f64 r w))
(*.f64 (*.f64 r r) w)
(*.f64 w (*.f64 r r))
(*.f64 (*.f64 r w) r)

simplify677.0ms (4.6%)

Memory
21.0MiB live, 918.1MiB allocated
Algorithm
egg-herbie
Rules
18 674×accelerator-lowering-fma.f32
18 674×accelerator-lowering-fma.f64
5 766×+-lowering-+.f64
5 766×+-lowering-+.f32
5 284×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03189131
110238441
234108048
084967737
Stop Event
iter limit
node limit
Counts
636 → 636
Calls
Call 1
Inputs
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))
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(- (+ (* -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)
-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)
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))
(* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (* (pow r 2) (- (* 1/8 (/ 1 v)) 1/4)) (* 3/2 (/ 1 (pow w 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)
(* (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)))))
(* (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)))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
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(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 3/8 (* (pow r 2) (pow w 2)))
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(* 3/8 (* r w))
(+ (* -1/4 (* r (* v w))) (* 3/8 (* r w)))
(+ (* -1/4 (* r (* v w))) (* 3/8 (* r w)))
(+ (* -1/4 (* r (* v w))) (* 3/8 (* r w)))
(* -1/4 (* r (* v w)))
(* v (+ (* -1/4 (* r w)) (* 3/8 (/ (* r w) v))))
(* v (+ (* -1/4 (* r w)) (* 3/8 (/ (* r w) v))))
(* v (+ (* -1/4 (* r w)) (* 3/8 (/ (* r w) v))))
(* -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)))))
(* 1/8 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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)))))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(/ (* r w) (- 1 v))
(* r w)
(+ (* r w) (* r (* v w)))
(+ (* r w) (* v (- (* r (* v w)) (* -1 (* r w)))))
(+ (* r w) (* v (- (* v (- (* r (* v w)) (* -1 (* r w)))) (* -1 (* r w)))))
(* -1 (/ (* r w) v))
(/ (+ (* -1 (* r w)) (* -1 (/ (* r w) v))) v)
(/ (- (+ (* -1 (* r w)) (* -1 (/ (* r w) (pow v 2)))) (/ (* r w) v)) v)
(/ (- (+ (* -1 (* r w)) (* -1 (/ (* r w) (pow v 3)))) (+ (/ (* r w) v) (/ (* r w) (pow v 2)))) v)
(* -1 (/ (* r w) v))
(* -1 (/ (+ (* r w) (/ (* r w) v)) v))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* r w) v)) (* r w)) v)) (* r w)) v))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* r w) v) (* -1 (* r w))) v)) (* r w)) v)) (* r w)) v))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* 1/8 (/ (* (pow r 2) (pow w 2)) v))
(/ (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (pow r 2) (pow w 2)))) v)
(/ (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (pow r 2) (pow w 2)))) v)
(/ (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (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 (/ (* (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)))
(* -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)))
(* (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) (- (* 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) (- (* 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) (- (* 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) (- (* 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) (- (* 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) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
Outputs
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal -3/2 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 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))))) (*.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 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))))) (*.f64 r r))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v)))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(+.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(+.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))) #s(literal -3/2 binary64))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v)))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(+.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(+.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v))))) #s(literal -3/2 binary64))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 (*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) v)) (-.f64 #s(literal 1 binary64) v)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
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eval206.0ms (1.4%)

Memory
-49.9MiB live, 455.8MiB allocated
Compiler

Compiled 50 008 to 2 831 computations (94.3% saved)

prune229.0ms (1.5%)

Memory
-16.7MiB live, 312.1MiB allocated
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New1 50071 507
Fresh6713
Picked415
Done022
Total1 510171 527
Accuracy
100.0%
Counts
1 527 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.0%
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
32.8%
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) v))
44.0%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
74.7%
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))))
96.4%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w))) #s(literal 9/2 binary64))
80.0%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
50.1%
(-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) w)) r) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
45.4%
(-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v))))
92.5%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w))))))
55.6%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
44.3%
(+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) #s(literal -3/2 binary64))
34.1%
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) (*.f64 r r)) w))
39.3%
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))
50.1%
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r))
46.7%
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) r))
12.7%
#s(literal -3/2 binary64)
4.1%
#s(literal -9/2 binary64)
Compiler

Compiled 1 114 to 411 computations (63.1% saved)

regimes85.0ms (0.6%)

Memory
22.1MiB live, 177.0MiB allocated
Counts
46 → 2
Calls
Call 1
Inputs
#s(literal -9/2 binary64)
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(-.f64 (/.f64 (*.f64 r #s(literal 3 binary64)) r) #s(literal 9/2 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 9/2 binary64))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) r))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 r r) #s(literal 3 binary64)) r) r) #s(literal 9/2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w) w) v)
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) r) r) #s(literal 9/2 binary64))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 r (*.f64 r w)) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) (*.f64 r r)) w))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r))
(+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) #s(literal -3/2 binary64))
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w))))))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) v))
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))))
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r (*.f64 r w))))))
(-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v))))
(-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) w)) r) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 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 r r) (*.f64 (*.f64 w (*.f64 w v)) #s(literal -1/4 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 w (*.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 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 (*.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 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v))) (*.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 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) w)) r) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) 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 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 w (*.f64 r #s(literal 1/8 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) r) w))) #s(literal 9/2 binary64))
(-.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))))))) #s(literal 9/2 binary64))
(-.f64 (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 r (*.f64 r w))) #s(literal -1 binary64)) (/.f64 w (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64))
Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w))))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))))) #s(literal 9/2 binary64))
Calls

6 calls:

16.0ms
r
14.0ms
v
14.0ms
w
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)))
12.0ms
(*.f64 w w)
Results
AccuracySegmentsBranch
98.3%2v
96.5%1w
96.5%1r
96.5%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))
96.5%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)))
96.5%1(*.f64 w w)
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes51.0ms (0.3%)

Memory
-11.7MiB live, 104.4MiB allocated
Counts
36 → 3
Calls
Call 1
Inputs
#s(literal -9/2 binary64)
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(-.f64 (/.f64 (*.f64 r #s(literal 3 binary64)) r) #s(literal 9/2 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 9/2 binary64))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) r))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 r r) #s(literal 3 binary64)) r) r) #s(literal 9/2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w) w) v)
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) r) r) #s(literal 9/2 binary64))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 r (*.f64 r w)) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) (*.f64 r r)) w))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r))
(+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) #s(literal -3/2 binary64))
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w))))))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) v))
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))))
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r (*.f64 r w))))))
(-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v))))
(-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) w)) r) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 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 r r) (*.f64 (*.f64 w (*.f64 w v)) #s(literal -1/4 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Outputs
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w))))))
Calls

4 calls:

14.0ms
r
12.0ms
v
11.0ms
w
9.0ms
(*.f64 w w)
Results
AccuracySegmentsBranch
92.5%1w
94.9%2r
92.5%1(*.f64 w w)
96.5%3v
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes23.0ms (0.2%)

Memory
5.6MiB live, 44.7MiB allocated
Counts
33 → 2
Calls
Call 1
Inputs
#s(literal -9/2 binary64)
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(-.f64 (/.f64 (*.f64 r #s(literal 3 binary64)) r) #s(literal 9/2 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 9/2 binary64))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) r))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 r r) #s(literal 3 binary64)) r) r) #s(literal 9/2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w) w) v)
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) r) r) #s(literal 9/2 binary64))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 r (*.f64 r w)) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) (*.f64 r r)) w))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r))
(+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) #s(literal -3/2 binary64))
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w))))))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 w w) (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) v))
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))))
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r (*.f64 r w))))))
(-.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 r (*.f64 w w)))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) v))))
(-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) w)) r) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Outputs
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w))))))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r))
Calls

2 calls:

10.0ms
r
10.0ms
v
Results
AccuracySegmentsBranch
94.9%2r
92.5%1v
Compiler

Compiled 8 to 6 computations (25% saved)

regimes36.0ms (0.2%)

Memory
-7.3MiB live, 73.0MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
#s(literal -9/2 binary64)
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(-.f64 (/.f64 (*.f64 r #s(literal 3 binary64)) r) #s(literal 9/2 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 9/2 binary64))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) r))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 r r) #s(literal 3 binary64)) r) r) #s(literal 9/2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w) w) v)
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) r) r) #s(literal 9/2 binary64))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 r (*.f64 r w)) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) (*.f64 r r)) w))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r))
(+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) #s(literal -3/2 binary64))
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) r))
Outputs
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) r))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r))
Calls

4 calls:

8.0ms
w
8.0ms
v
8.0ms
(*.f64 w w)
7.0ms
r
Results
AccuracySegmentsBranch
83.2%1v
83.2%1w
83.2%1(*.f64 w w)
93.4%3r
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes9.0ms (0.1%)

Memory
16.7MiB live, 16.7MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(literal -9/2 binary64)
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(-.f64 (/.f64 (*.f64 r #s(literal 3 binary64)) r) #s(literal 9/2 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 9/2 binary64))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) r))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 r r) #s(literal 3 binary64)) r) r) #s(literal 9/2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) w) w) v)
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 3 binary64))) r) r) #s(literal 9/2 binary64))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 r (*.f64 r w)) w) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 w (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) (*.f64 r r)) w))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r))
(+.f64 (*.f64 (*.f64 r w) (*.f64 (*.f64 r w) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)))) #s(literal -3/2 binary64))
Outputs
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r))
Calls

1 calls:

7.0ms
r
Results
AccuracySegmentsBranch
90.8%2r
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(literal -9/2 binary64)
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(-.f64 (/.f64 (*.f64 r #s(literal 3 binary64)) r) #s(literal 9/2 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 9/2 binary64))
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) r))
Outputs
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) r))
Calls

1 calls:

4.0ms
r
Results
AccuracySegmentsBranch
87.3%2r
Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Memory
-14.9MiB live, 24.5MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(literal -9/2 binary64)
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(-.f64 (/.f64 (*.f64 r #s(literal 3 binary64)) r) #s(literal 9/2 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 9/2 binary64))
Outputs
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
Calls

3 calls:

5.0ms
v
4.0ms
w
4.0ms
r
Results
AccuracySegmentsBranch
55.6%1w
55.6%1v
55.6%1r
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Memory
16.3MiB live, 16.3MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(literal -9/2 binary64)
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
Outputs
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
#s(literal -3/2 binary64)
Calls

3 calls:

2.0ms
v
2.0ms
r
2.0ms
w
Results
AccuracySegmentsBranch
44.0%1v
55.2%2r
45.9%2w
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal -9/2 binary64)
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
Outputs
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal -3/2 binary64)
Calls

1 calls:

2.0ms
r
Results
AccuracySegmentsBranch
55.2%2r
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0%)

Memory
-24.1MiB live, 15.2MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal -9/2 binary64)
#s(literal -3/2 binary64)
Outputs
#s(literal -3/2 binary64)
Calls

3 calls:

2.0ms
w
2.0ms
r
2.0ms
v
Results
AccuracySegmentsBranch
12.7%1v
12.7%1w
12.7%1r
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Memory
11.9MiB live, 11.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -9/2 binary64)
Outputs
#s(literal -9/2 binary64)
Calls

3 calls:

1.0ms
w
1.0ms
v
1.0ms
r
Results
AccuracySegmentsBranch
4.1%1r
4.1%1w
4.1%1v
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch34.0ms (0.2%)

Memory
-10.3MiB live, 28.8MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
31.0ms
-3.097826781783199e+144
-6.650320483959155e+142
Samples
27.0ms112×0valid
Compiler

Compiled 413 to 301 computations (27.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (48.3% of total)
ival-sub: 2.0ms (24.1% of total)
ival-div: 1.0ms (12.1% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch69.0ms (0.5%)

Memory
4.6MiB live, 89.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
3.684969033292142e-50
2.597399908664397e-46
44.0ms
-3.9907774116453725e-13
-1.651945318838135e-22
Samples
51.0ms272×0valid
Compiler

Compiled 887 to 650 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 34.0ms (77.2% of total)
ival-sub: 5.0ms (11.4% of total)
ival-div: 3.0ms (6.8% of total)
ival-add: 1.0ms (2.3% of total)
exact: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch7.0ms (0%)

Memory
-15.0MiB live, 23.5MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
5.0ms
3.0301436148871662e+147
1.8310647077116695e+148
Samples
3.0ms32×0valid
Compiler

Compiled 107 to 80 computations (25.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (40% of total)
ival-mult: 1.0ms (40% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch53.0ms (0.4%)

Memory
18.3MiB live, 57.0MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
5.0ms
9.84360051153434e+82
5.132425283253046e+86
46.0ms
1.0159049426864409e-123
2.037145918670578e-122
Samples
45.0ms144×0valid
Compiler

Compiled 317 to 234 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (53.8% of total)
ival-div: 2.0ms (17.9% of total)
ival-sub: 2.0ms (17.9% of total)
ival-add: 1.0ms (9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch21.0ms (0.1%)

Memory
-8.0MiB live, 32.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
3.044444667412502e-28
5.029246978773806e-27
Samples
15.0ms112×0valid
Compiler

Compiled 203 to 154 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (61.1% of total)
ival-sub: 2.0ms (17.5% of total)
ival-div: 1.0ms (8.7% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch21.0ms (0.1%)

Memory
4.6MiB live, 41.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
3.044444667412502e-28
5.029246978773806e-27
Samples
14.0ms112×0valid
Compiler

Compiled 203 to 154 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sub: 5.0ms (44.9% of total)
ival-mult: 4.0ms (35.9% of total)
ival-div: 1.0ms (9% of total)
ival-add: 1.0ms (9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Memory
23.4MiB live, 58.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
1.9817640305647072e-21
9.358378730563877e-15
Samples
17.0ms144×0valid
Compiler

Compiled 161 to 136 computations (15.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 6.0ms (46% of total)
ival-sub: 5.0ms (38.3% of total)
ival-div: 2.0ms (15.3% of total)
ival-add: 1.0ms (7.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch32.0ms (0.2%)

Memory
-14.1MiB live, 66.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
29.0ms
1.9817640305647072e-21
9.358378730563877e-15
Samples
15.0ms144×0valid
Compiler

Compiled 161 to 136 computations (15.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (53.7% of total)
ival-sub: 3.0ms (26.9% of total)
ival-div: 2.0ms (17.9% of total)
ival-add: 1.0ms (9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify32.0ms (0.2%)

Memory
7.6MiB live, 79.1MiB allocated
Algorithm
egg-herbie
Rules
276×unsub-neg_binary64
198×neg-mul-1_binary64
118×distribute-lft-neg-in_binary64
102×*-commutative_binary64
92×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087261
1134261
2162261
3202261
4256261
5325261
6458261
7677261
8807261
9827261
10832261
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 v #s(literal -329999999999999999171399884227318331762312790736328548627377585711751554341118099526807030418727415062764150738731056750664292091677564953690112 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w)))))) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))))) #s(literal 9/2 binary64)))
(if (<=.f64 v #s(literal -7724745845140773/19807040628566084398385987584 binary64)) (+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r)) (if (<=.f64 v #s(literal 819538402572085/3213876088517980551083924184682325205044405987565585670602752 binary64)) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w))))))))
(if (<=.f64 r #s(literal 10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w)))))) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r)))
(if (<=.f64 r #s(literal 7256757823367339/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (if (<=.f64 r #s(literal 10000000000000000146306952306748730309700429878646550592786107871697963642511482159104 binary64)) (+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) r)) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r))))
(if (<=.f64 r #s(literal 1742245718635205/348449143727040986586495598010130648530944 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r)))
(if (<=.f64 r #s(literal 3205732122288777/696898287454081973172991196020261297061888 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) r)))
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(if (<=.f64 r #s(literal 5831192761049855/633825300114114700748351602688 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64))
(if (<=.f64 r #s(literal 5831192761049855/633825300114114700748351602688 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
#s(literal -9/2 binary64)
Outputs
(if (<=.f64 v #s(literal -329999999999999999171399884227318331762312790736328548627377585711751554341118099526807030418727415062764150738731056750664292091677564953690112 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w)))))) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 #s(literal 1/8 binary64) w))))) #s(literal 9/2 binary64)))
(if (<=.f64 v #s(literal -329999999999999999171399884227318331762312790736328548627377585711751554341118099526807030418727415062764150738731056750664292091677564953690112 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w)))))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 v #s(literal -2 binary64))) (*.f64 r (*.f64 w #s(literal 1/8 binary64)))) (/.f64 (*.f64 r w) (+.f64 v #s(literal -1 binary64))))) #s(literal 9/2 binary64)))
(if (<=.f64 v #s(literal -7724745845140773/19807040628566084398385987584 binary64)) (+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w))) r)) (if (<=.f64 v #s(literal 819538402572085/3213876088517980551083924184682325205044405987565585670602752 binary64)) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w))))))))
(if (<=.f64 v #s(literal -7724745845140773/19807040628566084398385987584 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 r (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 w (*.f64 r w))))) (if (<=.f64 v #s(literal 819538402572085/3213876088517980551083924184682325205044405987565585670602752 binary64)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 r (*.f64 r w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal 9/2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w))))))))
(if (<=.f64 r #s(literal 10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w)))))) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r)))
(if (<=.f64 r #s(literal 10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r (*.f64 r w)))))) (+.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))))))
(if (<=.f64 r #s(literal 7256757823367339/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (if (<=.f64 r #s(literal 10000000000000000146306952306748730309700429878646550592786107871697963642511482159104 binary64)) (+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r (*.f64 (*.f64 w w) #s(literal -1/4 binary64))) r)) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r))))
(if (<=.f64 r #s(literal 7256757823367339/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (if (<=.f64 r #s(literal 10000000000000000146306952306748730309700429878646550592786107871697963642511482159104 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))))) (+.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w)))))))
(if (<=.f64 r #s(literal 1742245718635205/348449143727040986586495598010130648530944 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))) r)))
(if (<=.f64 r #s(literal 1742245718635205/348449143727040986586495598010130648530944 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (+.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r w))))))
(if (<=.f64 r #s(literal 3205732122288777/696898287454081973172991196020261297061888 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (+.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) r)))
(if (<=.f64 r #s(literal 3205732122288777/696898287454081973172991196020261297061888 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) (+.f64 #s(literal -3/2 binary64) (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))))))
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(if (<=.f64 r #s(literal 5831192761049855/633825300114114700748351602688 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64))
(if (<=.f64 r #s(literal 5831192761049855/633825300114114700748351602688 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
#s(literal -9/2 binary64)

soundness1.8s (12%)

Memory
-23.0MiB live, 1 623.4MiB allocated
Rules
18 674×accelerator-lowering-fma.f32
18 674×accelerator-lowering-fma.f64
17 894×accelerator-lowering-fma.f32
17 894×accelerator-lowering-fma.f64
16 952×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03189131
110238441
234108048
084967737
02867848
19187495
231416990
083466693
02194033
17253871
225273593
082003405
02569873
18259536
228108837
082028405
022116
1135106
21339106
0895196
043314
1307288
22473288
09544262
042231
1277213
22440213
09179200
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 014 to 629 computations (38% saved)

preprocess94.0ms (0.6%)

Memory
9.8MiB live, 205.5MiB allocated
Remove

(abs r)

(abs w)

Compiler

Compiled 1 016 to 478 computations (53% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...