Rosa's TurbineBenchmark

Time bar (total: 13.6s)

analyze197.0ms (1.4%)

Memory
-34.6MiB live, 180.0MiB 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)

sample1.4s (10.5%)

Memory
54.7MiB live, 2 623.2MiB allocated
Samples
1.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 812.0ms
ival-mult: 361.0ms (44.5% of total)
ival-sub: 261.0ms (32.1% of total)
ival-div: 119.0ms (14.7% of total)
ival-add: 45.0ms (5.5% of total)
exact: 17.0ms (2.1% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess716.0ms (5.3%)

Memory
-195.6MiB live, 780.8MiB 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 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w))) (/.f64 w (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64)))
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)

explain477.0ms (3.5%)

Memory
-11.7MiB live, 672.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
260-1(4.207005115976495e+292 6.751277042823123e-160 1.9714478106096411e+251)(*.f64 (*.f64 w w) r)
180-3(1.9745156099362515e+132 7.744045842001778e-201 9.696955262652792e+86)(*.f64 (*.f64 (*.f64 w w) r) r)
180-0-(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r))
130-0-(/.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))
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/n130
(*.f64 (*.f64 w w) r)overflow65
(*.f64 w w)overflow66
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r))overflow90
(*.f64 (*.f64 (*.f64 w w) r) r)overflow77
*.f64(*.f64 (*.f64 (*.f64 w w) r) r)n*o110
*.f64(*.f64 (*.f64 w w) r)n*o110
*.f64(*.f64 (*.f64 w w) r)n*u80
Confusion
Predicted +Predicted -
+370
-0219
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3700
-00219
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0219
131
26
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
94.0ms512×0valid
Compiler

Compiled 360 to 92 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 46.0ms (67.7% of total)
ival-sub: 11.0ms (16.2% of total)
ival-div: 6.0ms (8.8% of total)
ival-add: 2.0ms (2.9% of total)
ival-true: 1.0ms (1.5% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.4MiB 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
85.9%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify375.0ms (2.8%)

Memory
18.3MiB live, 680.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))
cost-diff128
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
cost-diff192
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
cost-diff320
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))
Rules
16 612×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 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w))) (/.f64 w (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64)))
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w))) (/.f64 w (+.f64 v #s(literal -1 binary64))) #s(literal 3 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
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))
(/.f64 (*.f64 w (*.f64 r (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)))) (-.f64 #s(literal 1 binary64) v))
(* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r))
(*.f64 w (*.f64 r (*.f64 r (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w))))
(* 1/8 (- 3 (* 2 v)))
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))
1/8
#s(literal 1/8 binary64)
(- 3 (* 2 v))
(fma.f64 v #s(literal -2 binary64) #s(literal 3 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)

localize57.0ms (0.4%)

Memory
28.8MiB live, 106.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy95.2%
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
accuracy93.8%
(*.f64 (*.f64 (*.f64 w w) r) r)
accuracy93.3%
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r))
accuracy91.3%
(*.f64 (*.f64 w w) r)
Samples
34.0ms256×0valid
Compiler

Compiled 148 to 24 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 12.0ms (54.4% of total)
ival-div: 4.0ms (18.1% of total)
ival-sub: 4.0ms (18.1% of total)
ival-add: 1.0ms (4.5% of total)
exact: 1.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory
0.1MiB live, 38.3MiB allocated
Counts
8 → 216
Calls
Call 1
Inputs
#<alt (* 1/8 (- 3 (* 2 v)))>
#<alt (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)>
#<alt (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)))>
#<alt (- 3 (* 2 v))>
#<alt (* (* w w) r)>
#<alt (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r))>
#<alt (* (* (* w w) r) r)>
#<alt (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))>
Outputs
#<alt 3/8>
#<alt (+ 3/8 (* -1/4 v))>
#<alt (+ 3/8 (* -1/4 v))>
#<alt (+ 3/8 (* -1/4 v))>
#<alt (* -1/4 v)>
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
#<alt (* -1/4 v)>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))>
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))>
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt 3>
#<alt (+ 3 (* -2 v))>
#<alt (+ 3 (* -2 v))>
#<alt (+ 3 (* -2 v))>
#<alt (* -2 v)>
#<alt (* v (- (* 3 (/ 1 v)) 2))>
#<alt (* v (- (* 3 (/ 1 v)) 2))>
#<alt (* v (- (* 3 (/ 1 v)) 2))>
#<alt (* -2 v)>
#<alt (* -1 (* v (- 2 (* 3 (/ 1 v)))))>
#<alt (* -1 (* v (- 2 (* 3 (/ 1 v)))))>
#<alt (* -1 (* v (- 2 (* 3 (/ 1 v)))))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* r (pow w 2))>
#<alt (* 3/8 (* (pow r 2) (pow w 2)))>
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))>
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))>
#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))>
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* 3/8 (* (pow r 2) (pow w 2)))>
#<alt (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))>
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))>
#<alt (* 1/4 (* (pow r 2) (pow w 2)))>
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (* 1/4 (* (pow r 2) (pow w 2)))>
#<alt (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
Calls

54 calls:

TimeVariablePointExpression
4.0ms
r
@0
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
1.0ms
r
@0
(* (* w w) r)
1.0ms
w
@0
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
1.0ms
v
@0
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
1.0ms
v
@-inf
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)

rewrite637.0ms (4.7%)

Memory
2.9MiB live, 521.7MiB 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
022114
1135104
21339104
0895194
Stop Event
iter limit
node limit
Counts
8 → 399
Calls
Call 1
Inputs
(* 1/8 (- 3 (* 2 v)))
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)))
(- 3 (* 2 v))
(* (* w w) r)
(* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r))
(* (* (* w w) r) r)
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))
Outputs
(+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))))
(+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -8 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -8 binary64))) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)))
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(*.f64 (*.f64 (*.f64 w w) (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) v))) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
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(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #s(literal 1 binary64)))))
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(*.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
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(*.f64 (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r r) (*.f64 w w))) (/.f64 #s(literal 1 binary64) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r r) (*.f64 w w))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
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(*.f64 (/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)))
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(*.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 (*.f64 r r) (*.f64 w w)) (/.f64 #s(literal 1 binary64) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #s(literal 1 binary64)))))
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(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w w)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) 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 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #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 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 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 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #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 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r 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) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r 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 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 r (*.f64 w w)) (/.f64 #s(literal 1 binary64) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 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 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 w w)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 r r) (/.f64 #s(literal 1 binary64) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 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 (*.f64 r r) (*.f64 w w)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 r r) (*.f64 w w)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 r r) (*.f64 w w))) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal -1 binary64)) (*.f64 (*.f64 w w) (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) v))))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w w))) #s(literal -1 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))

simplify590.0ms (4.3%)

Memory
-8.8MiB live, 736.2MiB allocated
Algorithm
egg-herbie
Rules
14 382×accelerator-lowering-fma.f32
14 382×accelerator-lowering-fma.f64
5 144×+-lowering-+.f64
5 144×+-lowering-+.f32
4 118×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02274018
17453856
225743578
082093390
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
3/8
(+ 3/8 (* -1/4 v))
(+ 3/8 (* -1/4 v))
(+ 3/8 (* -1/4 v))
(* -1/4 v)
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* -1/4 v)
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
3
(+ 3 (* -2 v))
(+ 3 (* -2 v))
(+ 3 (* -2 v))
(* -2 v)
(* v (- (* 3 (/ 1 v)) 2))
(* v (- (* 3 (/ 1 v)) 2))
(* v (- (* 3 (/ 1 v)) 2))
(* -2 v)
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* 3/8 (* (pow r 2) (pow w 2)))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* 3/8 (* (pow r 2) (pow w 2)))
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
Outputs
3/8
#s(literal 3/8 binary64)
(+ 3/8 (* -1/4 v))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(+ 3/8 (* -1/4 v))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(+ 3/8 (* -1/4 v))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(* -1/4 v)
(*.f64 #s(literal -1/4 binary64) v)
(* v (- (* 3/8 (/ 1 v)) 1/4))
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))
(* -1/4 v)
(*.f64 #s(literal -1/4 binary64) v)
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(fma.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(+.f64 (fma.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/8 binary64) #s(literal -1/8 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(fma.f64 v (*.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/8 binary64) #s(literal -1/8 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (/.f64 (*.f64 w w) v))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 (*.f64 w w) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 r (*.f64 w w)) (neg.f64 r)) (*.f64 v (*.f64 v v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 r (*.f64 r (/.f64 (*.f64 w w) v))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 (*.f64 w w) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
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(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))))

eval83.0ms (0.6%)

Memory
-0.8MiB live, 203.8MiB allocated
Compiler

Compiled 29 406 to 2 002 computations (93.2% saved)

prune92.0ms (0.7%)

Memory
7.7MiB live, 246.8MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New59817615
Fresh000
Picked101
Done000
Total59917616
Accuracy
99.4%
Counts
616 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.9%
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
51.2%
(fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))
52.8%
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64))
47.4%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
47.6%
(-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
56.7%
(-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64))
49.8%
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
92.0%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #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))
95.0%
(-.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 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
93.2%
(-.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 w (*.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
83.3%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) #s(literal 9/2 binary64))
84.2%
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64))
83.3%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))
77.2%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))
92.5%
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))
58.2%
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
60.6%
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
Compiler

Compiled 870 to 570 computations (34.5% saved)

simplify358.0ms (2.6%)

Memory
-25.2MiB live, 506.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))
cost-diff0
(*.f64 w w)
cost-diff320
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))
cost-diff1664
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
cost-diff0
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))
cost-diff0
(*.f64 r r)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff0
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))
cost-diff0
(*.f64 #s(literal -1/4 binary64) (*.f64 r r))
cost-diff0
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w)
cost-diff0
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff0
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))
cost-diff0
(*.f64 r r)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff128
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))
cost-diff128
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))
cost-diff192
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
cost-diff320
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)))
Rules
13 092×accelerator-lowering-fma.f32
13 092×accelerator-lowering-fma.f64
5 360×*-lowering-*.f32
5 360×*-lowering-*.f64
2 608×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050438
1146438
2452420
31755418
45214418
08219396
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) (- 1 v))) 9/2)
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) (- 1 v)))
(+ 3 (/ 2 (* r r)))
3
(/ 2 (* r r))
2
(* r r)
r
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) (- 1 v))
(* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w)))
(* 1/8 (- 3 (* 2 v)))
1/8
(- 3 (* 2 v))
(* 2 v)
v
(* (* r w) (* r w))
(* r w)
w
(- 1 v)
1
9/2
(/ 2 (* r r))
2
(* r r)
r
(+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))))
-3/2
(+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))
(* (* -1/4 (* r r)) w)
(* -1/4 (* r r))
-1/4
(* r r)
r
w
(/ 2 (* r r))
2
(+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2))
(/ 2 (* r r))
2
(* r r)
r
(+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)
(* 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
(* (* w w) (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))))
(* w w)
w
(+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w))))
(/ 2 (* r (* r (* w w))))
2
(* r (* r (* w w)))
r
(* r (* w w))
(+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))
-1/8
(/ (* r (* r (+ (* v -2) 3))) (- 1 v))
(* r (* r (+ (* v -2) 3)))
(* r (+ (* v -2) 3))
(+ (* v -2) 3)
v
-2
3
(- 1 v)
1
(/ -3/2 (* w w))
-3/2
Outputs
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) (- 1 v))) 9/2)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 r (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (/.f64 w (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64)))
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) (- 1 v)))
(+.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+ 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) (* r w))) (- 1 v))
(/.f64 (*.f64 w (*.f64 w (*.f64 r (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))))) (-.f64 #s(literal 1 binary64) v))
(* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w)))
(*.f64 w (*.f64 w (*.f64 r (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))))
(* 1/8 (- 3 (* 2 v)))
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))
1/8
#s(literal 1/8 binary64)
(- 3 (* 2 v))
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
(* 2 v)
(*.f64 #s(literal 2 binary64) v)
v
(* (* r w) (* r w))
(*.f64 r (*.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)
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
r
(+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
-3/2
#s(literal -3/2 binary64)
(+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))
(fma.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(* (* -1/4 (* r r)) w)
(*.f64 #s(literal -1/4 binary64) (*.f64 r (*.f64 r w)))
(* -1/4 (* r r))
(*.f64 r (*.f64 r #s(literal -1/4 binary64)))
-1/4
#s(literal -1/4 binary64)
(* r r)
(*.f64 r r)
r
w
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) #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)) -3/2)
(fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) #s(literal -3/2 binary64))
(* r (* r (* w w)))
(*.f64 r (*.f64 r (*.f64 w w)))
(* r (* w w))
(*.f64 r (*.f64 w w))
(* w w)
(*.f64 w w)
w
(- (/ 1/8 v) 1/4)
(+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))
(/ 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
#s(literal -3/2 binary64)
(* (* w w) (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 r (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))))) (/.f64 w (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64)))
(* w w)
(*.f64 w w)
w
(+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 r (/.f64 (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))
(/ 2 (* r (* r (* w w))))
(/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w))))
2
#s(literal 2 binary64)
(* r (* r (* w w)))
(*.f64 r (*.f64 r (*.f64 w w)))
r
(* r (* w w))
(*.f64 r (*.f64 w w))
(+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))
(fma.f64 r (/.f64 (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))
-1/8
#s(literal -1/8 binary64)
(/ (* r (* r (+ (* v -2) 3))) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))
(* r (* r (+ (* v -2) 3)))
(*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(* r (+ (* v -2) 3))
(*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
(+ (* v -2) 3)
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
v
-2
#s(literal -2 binary64)
3
#s(literal 3 binary64)
(- 1 v)
(-.f64 #s(literal 1 binary64) v)
1
#s(literal 1 binary64)
(/ -3/2 (* w w))
(/.f64 #s(literal -3/2 binary64) (*.f64 w w))
-3/2
#s(literal -3/2 binary64)

localize190.0ms (1.4%)

Memory
25.9MiB live, 259.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy91.3%
(*.f64 r (*.f64 w w))
accuracy91.1%
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))
accuracy85.0%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))
accuracy71.8%
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
accuracy99.7%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))
accuracy99.5%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy93.8%
(*.f64 r (*.f64 r (*.f64 w w)))
accuracy91.3%
(*.f64 r (*.f64 w w))
accuracy100.0%
(*.f64 #s(literal -1/4 binary64) (*.f64 r r))
accuracy99.5%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy96.6%
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))
accuracy92.4%
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w)
accuracy100.0%
(*.f64 r r)
accuracy99.5%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy99.7%
(*.f64 (*.f64 r w) (*.f64 r w))
accuracy99.5%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy95.2%
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))
accuracy93.3%
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w)))
Samples
72.0ms239×0valid
7.0ms2valid
5.0ms1valid
Compiler

Compiled 432 to 52 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 26.0ms (46.4% of total)
ival-div: 10.0ms (17.9% of total)
ival-add: 9.0ms (16.1% of total)
ival-sub: 8.0ms (14.3% of total)
adjust: 1.0ms (1.8% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series40.0ms (0.3%)

Memory
9.5MiB live, 50.4MiB allocated
Counts
22 → 564
Calls
Call 1
Inputs
#<alt (* 1/8 (- 3 (* 2 v)))>
#<alt (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) (- 1 v))) 9/2)>
#<alt (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) (- 1 v)))>
#<alt (- 3 (* 2 v))>
#<alt (/ 2 (* r r))>
#<alt (* r r)>
#<alt (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))))>
#<alt (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))>
#<alt (* (* -1/4 (* r r)) w)>
#<alt (* -1/4 (* r r))>
#<alt (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2))>
#<alt (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)>
#<alt (* (* w w) (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))))>
#<alt (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))>
#<alt (* w w)>
#<alt (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w))))>
#<alt (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w)))>
#<alt (/ (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) (- 1 v))>
#<alt (* (* r w) (* r w))>
#<alt (* r (* w w))>
#<alt (* r (* r (* w w)))>
#<alt (/ (* r (* r (+ (* v -2) 3))) (- 1 v))>
Outputs
#<alt 3/8>
#<alt (+ 3/8 (* -1/4 v))>
#<alt (+ 3/8 (* -1/4 v))>
#<alt (+ 3/8 (* -1/4 v))>
#<alt (* -1/4 v)>
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
#<alt (* v (- (* 3/8 (/ 1 v)) 1/4))>
#<alt (* -1/4 v)>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))>
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))>
#<alt (+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))>
#<alt 3>
#<alt (+ 3 (* -2 v))>
#<alt (+ 3 (* -2 v))>
#<alt (+ 3 (* -2 v))>
#<alt (* -2 v)>
#<alt (* v (- (* 3 (/ 1 v)) 2))>
#<alt (* v (- (* 3 (/ 1 v)) 2))>
#<alt (* v (- (* 3 (/ 1 v)) 2))>
#<alt (* -2 v)>
#<alt (* -1 (* v (- 2 (* 3 (/ 1 v)))))>
#<alt (* -1 (* v (- 2 (* 3 (/ 1 v)))))>
#<alt (* -1 (* v (- 2 (* 3 (/ 1 v)))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
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#<alt (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))>
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#<alt (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))>
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#<alt (pow w 2)>
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#<alt (/ (+ (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))) (* 2 (/ 1 (pow w 2)))) (pow r 2))>
#<alt (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))>
#<alt (* (pow r 2) (- (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2))))))>
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#<alt (* (pow r 2) (- (+ (* -1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 2 (* (pow r 4) (pow w 2)))) (/ 3/2 (* (pow r 2) (pow w 2)))))>
#<alt (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))>
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#<alt (/ (- (* 2 (/ 1 (pow r 2))) 3/2) (pow w 2))>
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#<alt (/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2))>
#<alt (/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2))>
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#<alt (- (+ (* -3/8 (pow r 2)) (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -3/8 (pow r 2)) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* v (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -3/8 (pow r 2)) (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* v (+ (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))) (* v (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))))))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (* 2 (/ 1 (* (pow r 2) (pow w 2))))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 3))) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -1/4 (pow r 2)) (+ (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -1 (/ (+ (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2)))) (* 1/8 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v))) v)) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (pow r 2)) (* 3 (pow r 2)))) (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v))) v)) (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (+ (* -1/4 (pow r 2)) (* 2 (/ 1 (* (pow r 2) (pow w 2)))))) (* 3/2 (/ 1 (pow w 2))))>
#<alt (* 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))))>
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#<alt (* -1/4 (* (pow r 2) (* v (pow w 2))))>
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#<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))))))>
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#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
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#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
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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)))))>
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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)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))>
#<alt (* 3/8 (* (pow r 2) (pow w 2)))>
#<alt (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))>
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))>
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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))))))>
#<alt (* 1/4 (* (pow r 2) (pow w 2)))>
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#<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)))>
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#<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)))>
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#<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)))>
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#<alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))>
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#<alt (* (pow r 2) (pow w 2))>
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#<alt (* (pow r 2) (pow w 2))>
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#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* r (pow w 2))>
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#<alt (* r (pow w 2))>
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#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
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#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))>
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))>
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))>
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))>
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))>
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))>
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))>
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))>
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))>
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))>
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))>
#<alt (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))>
#<alt (* 3 (pow r 2))>
#<alt (+ (* 3 (pow r 2)) (* v (- (* -2 (pow r 2)) (* -3 (pow r 2)))))>
#<alt (+ (* 3 (pow r 2)) (* v (- (+ (* -2 (pow r 2)) (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -3 (pow r 2)))))>
#<alt (+ (* 3 (pow r 2)) (* v (- (+ (* -2 (pow r 2)) (* v (- (* v (- (* -2 (pow r 2)) (* -3 (pow r 2)))) (* -1 (- (* -2 (pow r 2)) (* -3 (pow r 2))))))) (* -3 (pow r 2)))))>
#<alt (* 2 (pow r 2))>
#<alt (- (+ (* -3 (/ (pow r 2) v)) (* 2 (pow r 2))) (* -2 (/ (pow r 2) v)))>
#<alt (- (+ (* -3 (/ (pow r 2) v)) (+ (* -3 (/ (pow r 2) (pow v 2))) (* 2 (pow r 2)))) (+ (* -2 (/ (pow r 2) v)) (* -2 (/ (pow r 2) (pow v 2)))))>
#<alt (- (+ (* -3 (/ (pow r 2) v)) (+ (* -3 (/ (pow r 2) (pow v 3))) (* 2 (pow r 2)))) (+ (* -2 (/ (pow r 2) v)) (+ (* -2 (/ (pow r 2) (pow v 3))) (* -1 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))))))>
#<alt (* 2 (pow r 2))>
#<alt (+ (* -1 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v)) (* 3 (pow r 2))) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (pow r 2))) (* 3 (pow r 2))) v)) (* 3 (pow r 2))) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))>
Calls

141 calls:

TimeVariablePointExpression
5.0ms
w
@inf
(* (* -1/4 (* r r)) w)
3.0ms
w
@0
(* (* -1/4 (* r r)) w)
1.0ms
w
@0
(* (* w w) (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))))
1.0ms
r
@0
(* (* w w) (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))))
1.0ms
w
@inf
(* (* w w) (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))))

rewrite566.0ms (4.2%)

Memory
-15.2MiB live, 536.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 732×/-lowering-/.f32
4 732×/-lowering-/.f64
4 478×*-lowering-*.f32
4 478×*-lowering-*.f64
3 340×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050292
1341288
23685288
09549264
Stop Event
iter limit
node limit
Counts
22 → 703
Calls
Call 1
Inputs
(* 1/8 (- 3 (* 2 v)))
(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) (- 1 v))) 9/2)
(- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) (- 1 v)))
(- 3 (* 2 v))
(/ 2 (* r r))
(* r r)
(+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r))))
(+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))
(* (* -1/4 (* r r)) w)
(* -1/4 (* r r))
(+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2))
(+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)
(* (* w w) (+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))))
(+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w)))
(* w w)
(+ (/ 2 (* r (* r (* w w)))) (+ (* -1/8 (/ (* r (* r (+ (* v -2) 3))) (- 1 v))) (/ -3/2 (* w w))))
(* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w)))
(/ (* (* 1/8 (- 3 (* 2 v))) (* (* r w) (* r w))) (- 1 v))
(* (* r w) (* r w))
(* r (* w w))
(* r (* r (* w w)))
(/ (* r (* r (+ (* v -2) 3))) (- 1 v))
Outputs
(+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))))
(+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64)))
(+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 3/8 binary64))
(+.f64 (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 3/8 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64))
(fma.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64) #s(literal 3/8 binary64))
(/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 (*.f64 v v) #s(literal 4 binary64) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64)))))
(/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 v v) #s(literal 4 binary64) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64)) #s(literal 1/8 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)))) (neg.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64)))) (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))) (neg.f64 (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64))))
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))
(+.f64 #s(literal 3 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64)))
(+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(+.f64 #s(literal 3 binary64) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (neg.f64 (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (neg.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64)))
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
(+.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64))
(+.f64 #s(literal -9/2 binary64) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #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 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (/.f64 (pow.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) (fma.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64) #s(literal 81/4 binary64)))) (/.f64 #s(literal 729/8 binary64) (fma.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64) #s(literal 81/4 binary64)))))
(-.f64 (/.f64 (*.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.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 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.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 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 r r))) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(fma.f64 (+.f64 #s(literal 27 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) #s(literal 9 binary64))) (neg.f64 (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(fma.f64 (+.f64 #s(literal 27 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) #s(literal 9 binary64))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (neg.f64 (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64)))
(fma.f64 (+.f64 #s(literal 27 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r (*.f64 r r)) (*.f64 r (*.f64 r r))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) #s(literal 9 binary64))) (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
(fma.f64 (fma.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))) #s(literal -9/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal 2 binary64) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (neg.f64 (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
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(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)))
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(exp.f64 (fma.f64 (log.f64 r) #s(literal 2 binary64) (*.f64 (log.f64 w) #s(literal 2 binary64))))
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(pow.f64 (*.f64 r w) #s(literal 2 binary64))
(pow.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 1 binary64))
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(*.f64 r (*.f64 r (*.f64 w w)))
(*.f64 (*.f64 r r) (*.f64 w w))
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(*.f64 (*.f64 r w) (*.f64 r w))
(*.f64 (*.f64 w w) (*.f64 r r))
(*.f64 (*.f64 r (*.f64 w w)) r)
(*.f64 (*.f64 r (*.f64 r w)) w)
(*.f64 (exp.f64 (log.f64 (*.f64 r w))) (exp.f64 (log.f64 (*.f64 r w))))
(*.f64 r (*.f64 w w))
(*.f64 w (*.f64 r w))
(*.f64 (*.f64 r w) w)
(*.f64 (*.f64 w w) r)
(exp.f64 (*.f64 (log.f64 (*.f64 r w)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 r) #s(literal 2 binary64) (*.f64 (log.f64 w) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 w) #s(literal 2 binary64) (*.f64 (log.f64 r) #s(literal 2 binary64))))
(pow.f64 (*.f64 r w) #s(literal 2 binary64))
(pow.f64 (*.f64 r (*.f64 r (*.f64 w w))) #s(literal 1 binary64))
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(*.f64 (*.f64 r (*.f64 w w)) r)
(*.f64 (*.f64 r (*.f64 r w)) w)
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)) r)
(*.f64 (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)))
(*.f64 (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 v #s(literal 1 binary64)))

simplify774.0ms (5.7%)

Memory
11.4MiB live, 656.8MiB allocated
Algorithm
egg-herbie
Rules
16 286×accelerator-lowering-fma.f32
16 286×accelerator-lowering-fma.f64
5 026×*-lowering-*.f32
5 026×*-lowering-*.f64
3 098×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052210126
116579540
254199304
081828745
Stop Event
iter limit
node limit
Counts
564 → 564
Calls
Call 1
Inputs
3/8
(+ 3/8 (* -1/4 v))
(+ 3/8 (* -1/4 v))
(+ 3/8 (* -1/4 v))
(* -1/4 v)
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* -1/4 v)
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3
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(+ (* 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)))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* (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))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(* 3 (pow r 2))
(+ (* 3 (pow r 2)) (* v (- (* -2 (pow r 2)) (* -3 (pow r 2)))))
(+ (* 3 (pow r 2)) (* v (- (+ (* -2 (pow r 2)) (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -3 (pow r 2)))))
(+ (* 3 (pow r 2)) (* v (- (+ (* -2 (pow r 2)) (* v (- (* v (- (* -2 (pow r 2)) (* -3 (pow r 2)))) (* -1 (- (* -2 (pow r 2)) (* -3 (pow r 2))))))) (* -3 (pow r 2)))))
(* 2 (pow r 2))
(- (+ (* -3 (/ (pow r 2) v)) (* 2 (pow r 2))) (* -2 (/ (pow r 2) v)))
(- (+ (* -3 (/ (pow r 2) v)) (+ (* -3 (/ (pow r 2) (pow v 2))) (* 2 (pow r 2)))) (+ (* -2 (/ (pow r 2) v)) (* -2 (/ (pow r 2) (pow v 2)))))
(- (+ (* -3 (/ (pow r 2) v)) (+ (* -3 (/ (pow r 2) (pow v 3))) (* 2 (pow r 2)))) (+ (* -2 (/ (pow r 2) v)) (+ (* -2 (/ (pow r 2) (pow v 3))) (* -1 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))))))
(* 2 (pow r 2))
(+ (* -1 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v)) (* 3 (pow r 2))) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (pow r 2))) (* 3 (pow r 2))) v)) (* 3 (pow r 2))) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))
Outputs
3/8
#s(literal 3/8 binary64)
(+ 3/8 (* -1/4 v))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(+ 3/8 (* -1/4 v))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(+ 3/8 (* -1/4 v))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(* -1/4 v)
(*.f64 #s(literal -1/4 binary64) v)
(* v (- (* 3/8 (/ 1 v)) 1/4))
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))
(* -1/4 v)
(*.f64 #s(literal -1/4 binary64) v)
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(/.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(fma.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(fma.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(/.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 r r) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(fma.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(fma.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 v (*.f64 (*.f64 r r) (*.f64 #s(literal -1/8 binary64) (*.f64 w w))) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(fma.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/8 binary64) #s(literal -1/8 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 v (fma.f64 v (*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (fma.f64 v #s(literal -1/8 binary64) #s(literal -1/8 binary64))) (*.f64 (*.f64 r r) (*.f64 #s(literal -1/8 binary64) (*.f64 w w)))) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) #s(literal -3/2 binary64)))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (*.f64 v v)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) #s(literal -3/2 binary64))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(+.f64 (fma.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (*.f64 v (*.f64 v v))) (fma.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (*.f64 v v)) (fma.f64 (*.f64 r r) (*.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) #s(literal -3/2 binary64))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) #s(literal -3/2 binary64)))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (/.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (*.f64 v v)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) #s(literal -3/2 binary64))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 r (*.f64 r (/.f64 (*.f64 w w) v)) (*.f64 r (*.f64 r (*.f64 w w)))) v) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #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)
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(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* 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))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(*.f64 r (*.f64 r (*.f64 w w)))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))
(/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))
(/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))
(* 3 (pow r 2))
(*.f64 (*.f64 r r) #s(literal 3 binary64))
(+ (* 3 (pow r 2)) (* v (- (* -2 (pow r 2)) (* -3 (pow r 2)))))
(fma.f64 v (*.f64 r r) (*.f64 (*.f64 r r) #s(literal 3 binary64)))
(+ (* 3 (pow r 2)) (* v (- (+ (* -2 (pow r 2)) (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -3 (pow r 2)))))
(fma.f64 v (*.f64 (*.f64 r r) (+.f64 v #s(literal 1 binary64))) (*.f64 (*.f64 r r) #s(literal 3 binary64)))
(+ (* 3 (pow r 2)) (* v (- (+ (* -2 (pow r 2)) (* v (- (* v (- (* -2 (pow r 2)) (* -3 (pow r 2)))) (* -1 (- (* -2 (pow r 2)) (* -3 (pow r 2))))))) (* -3 (pow r 2)))))
(fma.f64 v (fma.f64 (*.f64 v (*.f64 r r)) (+.f64 v #s(literal 1 binary64)) (*.f64 r r)) (*.f64 (*.f64 r r) #s(literal 3 binary64)))
(* 2 (pow r 2))
(*.f64 #s(literal 2 binary64) (*.f64 r r))
(- (+ (* -3 (/ (pow r 2) v)) (* 2 (pow r 2))) (* -2 (/ (pow r 2) v)))
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 r r) v))
(- (+ (* -3 (/ (pow r 2) v)) (+ (* -3 (/ (pow r 2) (pow v 2))) (* 2 (pow r 2)))) (+ (* -2 (/ (pow r 2) v)) (* -2 (/ (pow r 2) (pow v 2)))))
(+.f64 (-.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3 binary64) (*.f64 v v)) (*.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 r r) v)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 v v)))
(- (+ (* -3 (/ (pow r 2) v)) (+ (* -3 (/ (pow r 2) (pow v 3))) (* 2 (pow r 2)))) (+ (* -2 (/ (pow r 2) v)) (+ (* -2 (/ (pow r 2) (pow v 3))) (* -1 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))))))
(-.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 r r) (/.f64 (*.f64 (*.f64 r r) #s(literal -3 binary64)) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 r r) v)) (fma.f64 (*.f64 r r) (/.f64 #s(literal -2 binary64) (*.f64 v (*.f64 v v))) (/.f64 (*.f64 r r) (*.f64 v v))))
(* 2 (pow r 2))
(*.f64 #s(literal 2 binary64) (*.f64 r r))
(+ (* -1 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 r r) v))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v)) (* 3 (pow r 2))) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (fma.f64 r r (/.f64 (*.f64 r r) v)) v))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (pow r 2))) (* 3 (pow r 2))) v)) (* 3 (pow r 2))) (* 2 (pow r 2))) v)) (* 2 (pow r 2)))
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (fma.f64 r r (/.f64 (fma.f64 r r (/.f64 (*.f64 r r) v)) v)) v))

eval219.0ms (1.6%)

Memory
9.3MiB live, 397.2MiB allocated
Compiler

Compiled 60 592 to 3 266 computations (94.6% saved)

prune153.0ms (1.1%)

Memory
-1.1MiB live, 433.8MiB allocated
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New1 554161 570
Fresh9312
Picked415
Done000
Total1 567201 587
Accuracy
100.0%
Counts
1 587 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.3%
(fma.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
94.0%
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
50.6%
(fma.f64 (*.f64 r r) (fma.f64 #s(literal -1/4 binary64) (*.f64 w w) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64))
44.4%
(fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64))
47.5%
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
35.8%
(/.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))
47.4%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
56.7%
(-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64))
49.8%
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
95.0%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
95.0%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (*.f64 r w)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
91.2%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (*.f64 r w)) w) r) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
84.9%
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
83.3%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))
80.7%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))
58.2%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
92.5%
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 (/.f64 #s(literal 2 binary64) r) r)))
24.1%
(*.f64 (*.f64 w w) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))
30.5%
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))
35.8%
(*.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
Compiler

Compiled 744 to 512 computations (31.2% saved)

simplify374.0ms (2.8%)

Memory
-16.9MiB live, 718.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1/8 binary64) v)
cost-diff0
(+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))
cost-diff0
(*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r w))
cost-diff0
(fma.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
cost-diff0
(*.f64 r w)
cost-diff0
(*.f64 r (*.f64 r w))
cost-diff0
(*.f64 w #s(literal -1/4 binary64))
cost-diff0
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) r)
cost-diff384
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
cost-diff0
(*.f64 r r)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff0
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 r r))
cost-diff0
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
cost-diff128
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))
cost-diff192
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Rules
16 702×accelerator-lowering-fma.f32
16 702×accelerator-lowering-fma.f64
4 710×*-lowering-*.f32
4 710×*-lowering-*.f64
2 436×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036263
187263
2251261
3816261
43020261
56283261
08122252
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (- (+ 3 (/ 2 (* r r))) (/ (* (+ (* -1/4 v) 3/8) (* (* r w) (* r w))) (- 1 v))) 9/2)
(- (+ 3 (/ 2 (* r r))) (/ (* (+ (* -1/4 v) 3/8) (* (* r w) (* r w))) (- 1 v)))
(+ 3 (/ 2 (* r r)))
3
(/ 2 (* r r))
2
(* r r)
r
(/ (* (+ (* -1/4 v) 3/8) (* (* r w) (* r w))) (- 1 v))
(* (+ (* -1/4 v) 3/8) (* (* r w) (* r w)))
(+ (* -1/4 v) 3/8)
-1/4
v
3/8
(* (* r w) (* r w))
(* r w)
w
(- 1 v)
1
9/2
(+ (/ 2 (* r r)) -3/2)
(/ 2 (* r r))
2
(* r r)
r
-3/2
(/ (/ 2 r) r)
(/ 2 r)
2
r
(+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2))
(* w -1/4)
w
-1/4
(* r (* r w))
r
(* r w)
(+ (/ 2 (* r r)) -3/2)
(/ 2 (* r r))
2
(* r r)
-3/2
(+ (* (* (+ -1/4 (/ 1/8 v)) (* r w)) (* r w)) (+ -3/2 (/ 2 (* r r))))
(* (+ -1/4 (/ 1/8 v)) (* r w))
(+ -1/4 (/ 1/8 v))
-1/4
(/ 1/8 v)
1/8
v
(* r w)
r
w
(+ -3/2 (/ 2 (* r r)))
-3/2
(/ 2 (* r r))
2
(* r r)
Outputs
(- (- (+ 3 (/ 2 (* r r))) (/ (* (+ (* -1/4 v) 3/8) (* (* r w) (* r w))) (- 1 v))) 9/2)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 r (/.f64 w (-.f64 #s(literal 1 binary64) v)))) (*.f64 r (fma.f64 v #s(literal 1/4 binary64) #s(literal -3/8 binary64))) #s(literal -3/2 binary64)))
(- (+ 3 (/ 2 (* r r))) (/ (* (+ (* -1/4 v) 3/8) (* (* r w) (* r w))) (- 1 v)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 r (/.f64 w (-.f64 #s(literal 1 binary64) v)))) (*.f64 r (fma.f64 v #s(literal 1/4 binary64) #s(literal -3/8 binary64))) #s(literal 3 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
(/ (* (+ (* -1/4 v) 3/8) (* (* r w) (* r w))) (- 1 v))
(/.f64 (*.f64 r (*.f64 w (*.f64 w (*.f64 r (fma.f64 v #s(literal 1/4 binary64) #s(literal -3/8 binary64)))))) (+.f64 v #s(literal -1 binary64)))
(* (+ (* -1/4 v) 3/8) (* (* r w) (* r w)))
(*.f64 r (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 w w))))
(+ (* -1/4 v) 3/8)
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
-1/4
#s(literal -1/4 binary64)
v
3/8
#s(literal 3/8 binary64)
(* (* r w) (* r w))
(*.f64 r (*.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)
(+ (/ 2 (* r r)) -3/2)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #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
-3/2
#s(literal -3/2 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
(+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 #s(literal -1/4 binary64) (*.f64 r w)) #s(literal -3/2 binary64)))
(* w -1/4)
(*.f64 #s(literal -1/4 binary64) w)
w
-1/4
#s(literal -1/4 binary64)
(* r (* r w))
(*.f64 r (*.f64 r w))
r
(* r w)
(*.f64 r w)
(+ (/ 2 (* r r)) -3/2)
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #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)
-3/2
#s(literal -3/2 binary64)
(+ (* (* (+ -1/4 (/ 1/8 v)) (* r w)) (* r w)) (+ -3/2 (/ 2 (* r r))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r w)) (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) #s(literal -3/2 binary64)))
(* (+ -1/4 (/ 1/8 v)) (* r w))
(*.f64 r (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))))
(+ -1/4 (/ 1/8 v))
(+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))
-1/4
#s(literal -1/4 binary64)
(/ 1/8 v)
(/.f64 #s(literal 1/8 binary64) v)
1/8
#s(literal 1/8 binary64)
v
(* r w)
(*.f64 r w)
r
w
(+ -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)

localize114.0ms (0.8%)

Memory
27.3MiB live, 299.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 r r)
accuracy99.6%
(fma.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
accuracy99.5%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy96.4%
(*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r w))
accuracy100.0%
(*.f64 r r)
accuracy99.8%
(*.f64 r (*.f64 r w))
accuracy99.5%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy96.6%
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
accuracy100.0%
(/.f64 #s(literal 2 binary64) r)
accuracy99.8%
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
accuracy100.0%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
accuracy100.0%
(*.f64 r r)
accuracy99.5%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy99.7%
(*.f64 (*.f64 r w) (*.f64 r w))
accuracy99.5%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy95.2%
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))
accuracy93.3%
(*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 r w)))
Samples
59.0ms256×0valid
Compiler

Compiled 258 to 38 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 14.0ms (36.8% of total)
ival-div: 12.0ms (31.5% of total)
ival-add: 8.0ms (21% of total)
ival-sub: 3.0ms (7.9% of total)
exact: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series61.0ms (0.4%)

Memory
-25.3MiB live, 89.7MiB allocated
Counts
19 → 420
Calls
Call 1
Inputs
#<alt (- (- (+ 3 (/ 2 (* r r))) (/ (* (+ (* -1/4 v) 3/8) (* (* r w) (* r w))) (- 1 v))) 9/2)>
#<alt (- (+ 3 (/ 2 (* r r))) (/ (* (+ (* -1/4 v) 3/8) (* (* r w) (* r w))) (- 1 v)))>
#<alt (+ 3 (/ 2 (* r r)))>
#<alt (/ 2 (* r r))>
#<alt (+ (/ 2 (* r r)) -3/2)>
#<alt (* r r)>
#<alt (/ (/ 2 r) r)>
#<alt (/ 2 r)>
#<alt (+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2))>
#<alt (* w -1/4)>
#<alt (* r (* r w))>
#<alt (* r w)>
#<alt (+ (* (* (+ -1/4 (/ 1/8 v)) (* r w)) (* r w)) (+ -3/2 (/ 2 (* r r))))>
#<alt (* (+ -1/4 (/ 1/8 v)) (* r w))>
#<alt (+ -1/4 (/ 1/8 v))>
#<alt (/ 1/8 v)>
#<alt (* (+ (* -1/4 v) 3/8) (* (* r w) (* r w)))>
#<alt (/ (* (+ (* -1/4 v) 3/8) (* (* r w) (* r w))) (- 1 v))>
#<alt (* (* r 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 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2))>
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))>
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))>
#<alt (* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))>
#<alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2)))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 3))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))>
#<alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))>
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))>
#<alt (* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))))) (pow r 2))>
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))>
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))>
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))>
#<alt (* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))>
#<alt (* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))>
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2))))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2)))) (* -1/4 (* (pow r 2) (pow w 2))))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -1/4 (* (pow r 2) (pow w 2))))))) (* 3/8 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ 3 (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))))) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))>
#<alt (- (+ 3 (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 3))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))))) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 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 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (- (+ 3 (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))>
#<alt (+ 3 (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))>
#<alt (+ 3 (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))>
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))>
#<alt (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))>
#<alt (* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2))>
#<alt 3>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt 3>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (+ 3 (* 2 (/ 1 (pow r 2))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt -3/2>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt -3/2>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (pow r 2)>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* (pow r 2) w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* 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))) (* 2 (/ 1 (pow r 2)))) 3/2))) v)>
#<alt (/ (+ (* 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)>
#<alt (/ (+ (* 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)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) 3/2)>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4))) 3/2))) (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)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (pow r 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)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))) 3/2)>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* (pow r 2) (* (pow w 2) (- (* 1/8 (/ 1 v)) 1/4)))) 3/2)>
#<alt (- (+ (* 2 (/ 1 (pow r 2))) (* (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)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (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)))))>
#<alt (* (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)))))>
#<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)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (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)))))>
#<alt (* (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)))))>
#<alt (* 1/8 (/ (* r w) v))>
#<alt (/ (+ (* -1/4 (* r (* v w))) (* 1/8 (* r w))) v)>
#<alt (/ (+ (* -1/4 (* r (* v w))) (* 1/8 (* r w))) v)>
#<alt (/ (+ (* -1/4 (* r (* v w))) (* 1/8 (* r w))) v)>
#<alt (* -1/4 (* r w))>
#<alt (+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v)))>
#<alt (+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v)))>
#<alt (+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v)))>
#<alt (* -1/4 (* r w))>
#<alt (+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v)))>
#<alt (+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v)))>
#<alt (+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v)))>
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (* r (* w (- (* 1/8 (/ 1 v)) 1/4)))>
#<alt (/ 1/8 v)>
#<alt (/ (+ 1/8 (* -1/4 v)) v)>
#<alt (/ (+ 1/8 (* -1/4 v)) v)>
#<alt (/ (+ 1/8 (* -1/4 v)) v)>
#<alt -1/4>
#<alt (- (* 1/8 (/ 1 v)) 1/4)>
#<alt (- (* 1/8 (/ 1 v)) 1/4)>
#<alt (- (* 1/8 (/ 1 v)) 1/4)>
#<alt -1/4>
#<alt (- (* 1/8 (/ 1 v)) 1/4)>
#<alt (- (* 1/8 (/ 1 v)) 1/4)>
#<alt (- (* 1/8 (/ 1 v)) 1/4)>
#<alt (/ 1/8 v)>
#<alt (/ 1/8 v)>
#<alt (/ 1/8 v)>
#<alt (/ 1/8 v)>
#<alt (/ 1/8 v)>
#<alt (/ 1/8 v)>
#<alt (/ 1/8 v)>
#<alt (/ 1/8 v)>
#<alt (/ 1/8 v)>
#<alt (/ 1/8 v)>
#<alt (/ 1/8 v)>
#<alt (/ 1/8 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 (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))>
#<alt (* 3/8 (* (pow r 2) (pow w 2)))>
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2))))))>
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2))))))>
#<alt (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -3/8 (* (pow r 2) (pow w 2))))))>
#<alt (* 1/4 (* (pow r 2) (pow w 2)))>
#<alt (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* -1/4 (/ (* (pow r 2) (pow w 2)) v)))>
#<alt (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2)))))>
#<alt (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3))))))>
#<alt (* 1/4 (* (pow r 2) (pow w 2)))>
#<alt (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
#<alt (* (pow r 2) (pow w 2))>
Calls

105 calls:

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

rewrite492.0ms (3.6%)

Memory
14.4MiB live, 725.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 016×accelerator-lowering-fma.f32
8 016×accelerator-lowering-fma.f64
4 844×/-lowering-/.f32
4 844×/-lowering-/.f64
4 442×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036173
1251171
22471171
09392158
Stop Event
iter limit
node limit
Counts
19 → 656
Calls
Call 1
Inputs
(- (- (+ 3 (/ 2 (* r r))) (/ (* (+ (* -1/4 v) 3/8) (* (* r w) (* r w))) (- 1 v))) 9/2)
(- (+ 3 (/ 2 (* r r))) (/ (* (+ (* -1/4 v) 3/8) (* (* r w) (* r w))) (- 1 v)))
(+ 3 (/ 2 (* r r)))
(/ 2 (* r r))
(+ (/ 2 (* r r)) -3/2)
(* r r)
(/ (/ 2 r) r)
(/ 2 r)
(+ (* (* w -1/4) (* r (* r w))) (+ (/ 2 (* r r)) -3/2))
(* w -1/4)
(* r (* r w))
(* r w)
(+ (* (* (+ -1/4 (/ 1/8 v)) (* r w)) (* r w)) (+ -3/2 (/ 2 (* r r))))
(* (+ -1/4 (/ 1/8 v)) (* r w))
(+ -1/4 (/ 1/8 v))
(/ 1/8 v)
(* (+ (* -1/4 v) 3/8) (* (* r w) (* r w)))
(/ (* (+ (* -1/4 v) 3/8) (* (* r w) (* r w))) (- 1 v))
(* (* r w) (* r w))
Outputs
(+.f64 #s(literal 3 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 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)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 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 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
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(*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 r w) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 r w) (/.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 w (*.f64 r w)) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)))))
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (*.f64 w (*.f64 r w)) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)))))
(*.f64 (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)))))
(*.f64 (/.f64 (*.f64 r r) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (*.f64 w w) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 r (*.f64 r w)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)))))
(*.f64 (/.f64 (*.f64 r (*.f64 r w)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) r) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 w (*.f64 r w)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) r) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 w (*.f64 r w)) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r r)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (*.f64 w w) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r r)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 w w) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r (*.f64 r w))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 w (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)))))
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(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w)) w) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)))))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r 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 (neg.f64 (*.f64 r (*.f64 w (*.f64 r w)))) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 r w))) #s(literal -1 binary64)) (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v)))
(exp.f64 (*.f64 (log.f64 (*.f64 r w)) #s(literal 2 binary64)))
(pow.f64 (*.f64 r w) #s(literal 2 binary64))
(pow.f64 (*.f64 r (*.f64 w (*.f64 r w))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 r w))) #s(literal 2 binary64))
(*.f64 r (*.f64 w (*.f64 r w)))
(*.f64 r (*.f64 r (*.f64 w w)))
(*.f64 (*.f64 r r) (*.f64 w w))
(*.f64 w (*.f64 r (*.f64 r w)))
(*.f64 (*.f64 r w) (*.f64 r w))
(*.f64 (*.f64 r (*.f64 r w)) w)
(*.f64 (*.f64 w (*.f64 r w)) r)
(*.f64 (*.f64 w w) (*.f64 r r))
(*.f64 (exp.f64 (log.f64 (*.f64 r w))) (exp.f64 (log.f64 (*.f64 r w))))

simplify615.0ms (4.5%)

Memory
3.5MiB live, 932.0MiB allocated
Algorithm
egg-herbie
Rules
25 310×accelerator-lowering-fma.f32
25 310×accelerator-lowering-fma.f64
4 952×+-lowering-+.f64
4 952×+-lowering-+.f32
4 250×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02686398
18445906
228855285
081085052
Stop Event
iter limit
node limit
Counts
420 → 420
Calls
Call 1
Inputs
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2))
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2)))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 3))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))))) (pow r 2))
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2))))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2)))) (* -1/4 (* (pow r 2) (pow w 2))))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -1/4 (* (pow r 2) (pow w 2))))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ 3 (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))))) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ 3 (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 3))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))))) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(+ 3 (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(+ 3 (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (/ (* (pow r 2) (+ 3/8 (* -1/4 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 (* -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)
(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 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* 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 (* (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 (/ (* r w) v))
(/ (+ (* -1/4 (* r (* v w))) (* 1/8 (* r w))) v)
(/ (+ (* -1/4 (* r (* v w))) (* 1/8 (* r w))) v)
(/ (+ (* -1/4 (* r (* v w))) (* 1/8 (* r w))) v)
(* -1/4 (* r w))
(+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v)))
(+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v)))
(+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v)))
(* -1/4 (* r w))
(+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v)))
(+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v)))
(+ (* -1/4 (* r w)) (* 1/8 (/ (* r w) v)))
(* r (* w (- (* 1/8 (/ 1 v)) 1/4)))
(* r (* w (- (* 1/8 (/ 1 v)) 1/4)))
(* r (* w (- (* 1/8 (/ 1 v)) 1/4)))
(* r (* w (- (* 1/8 (/ 1 v)) 1/4)))
(* r (* w (- (* 1/8 (/ 1 v)) 1/4)))
(* r (* w (- (* 1/8 (/ 1 v)) 1/4)))
(* r (* w (- (* 1/8 (/ 1 v)) 1/4)))
(* r (* w (- (* 1/8 (/ 1 v)) 1/4)))
(* r (* w (- (* 1/8 (/ 1 v)) 1/4)))
(* r (* w (- (* 1/8 (/ 1 v)) 1/4)))
(* r (* w (- (* 1/8 (/ 1 v)) 1/4)))
(* r (* w (- (* 1/8 (/ 1 v)) 1/4)))
(* r (* w (- (* 1/8 (/ 1 v)) 1/4)))
(* r (* w (- (* 1/8 (/ 1 v)) 1/4)))
(* r (* w (- (* 1/8 (/ 1 v)) 1/4)))
(* r (* w (- (* 1/8 (/ 1 v)) 1/4)))
(* r (* w (- (* 1/8 (/ 1 v)) 1/4)))
(* r (* w (- (* 1/8 (/ 1 v)) 1/4)))
(* r (* w (- (* 1/8 (/ 1 v)) 1/4)))
(* r (* w (- (* 1/8 (/ 1 v)) 1/4)))
(* r (* w (- (* 1/8 (/ 1 v)) 1/4)))
(* r (* w (- (* 1/8 (/ 1 v)) 1/4)))
(* r (* w (- (* 1/8 (/ 1 v)) 1/4)))
(* r (* w (- (* 1/8 (/ 1 v)) 1/4)))
(/ 1/8 v)
(/ (+ 1/8 (* -1/4 v)) v)
(/ (+ 1/8 (* -1/4 v)) v)
(/ (+ 1/8 (* -1/4 v)) v)
-1/4
(- (* 1/8 (/ 1 v)) 1/4)
(- (* 1/8 (/ 1 v)) 1/4)
(- (* 1/8 (/ 1 v)) 1/4)
-1/4
(- (* 1/8 (/ 1 v)) 1/4)
(- (* 1/8 (/ 1 v)) 1/4)
(- (* 1/8 (/ 1 v)) 1/4)
(/ 1/8 v)
(/ 1/8 v)
(/ 1/8 v)
(/ 1/8 v)
(/ 1/8 v)
(/ 1/8 v)
(/ 1/8 v)
(/ 1/8 v)
(/ 1/8 v)
(/ 1/8 v)
(/ 1/8 v)
(/ 1/8 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))))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v))))
(* 3/8 (* (pow r 2) (pow w 2)))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2))))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2))))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* v (- (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -3/8 (* (pow r 2) (pow w 2))))))
(* 1/4 (* (pow r 2) (pow w 2)))
(- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* -1/4 (/ (* (pow r 2) (pow w 2)) v)))
(- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 2)))))
(- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* -1/4 (/ (* (pow r 2) (pow w 2)) (pow v 3))))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
Outputs
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 r (*.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (*.f64 w w))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 (*.f64 r r) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (*.f64 w w))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 (*.f64 r r) w) (neg.f64 w))) (-.f64 #s(literal 1 binary64) v))
(* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(fma.f64 (*.f64 r r) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (*.f64 w w))) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(fma.f64 (*.f64 r r) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 w w) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(fma.f64 (*.f64 r r) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 w w) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64))
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 (*.f64 r r) w) (neg.f64 w))) (-.f64 #s(literal 1 binary64) v))
(* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
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eval185.0ms (1.4%)

Memory
22.0MiB live, 433.7MiB allocated
Compiler

Compiled 43 503 to 2 682 computations (93.8% saved)

prune207.0ms (1.5%)

Memory
11.7MiB live, 333.0MiB allocated
Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New1 432131 445
Fresh10414
Picked325
Done011
Total1 445201 465
Accuracy
100.0%
Counts
1 465 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.4%
(fma.f64 (*.f64 (*.f64 r (*.f64 #s(literal -1/4 binary64) w)) w) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
47.6%
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64))
96.3%
(fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
51.8%
(fma.f64 (*.f64 r r) (fma.f64 w (*.f64 w #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64))
46.6%
(fma.f64 (*.f64 r r) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (*.f64 w w))) #s(literal -3/2 binary64))
47.5%
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
20.1%
(/.f64 (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
37.1%
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 (*.f64 r r) w) (neg.f64 w))) (-.f64 #s(literal 1 binary64) v))
47.4%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
95.6%
(-.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (neg.f64 (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64))
56.7%
(-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64))
49.8%
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
49.4%
(-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
95.6%
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
58.3%
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64))
83.3%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))
58.2%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
30.5%
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))
35.8%
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))
12.0%
#s(literal -3/2 binary64)
Compiler

Compiled 622 to 440 computations (29.3% saved)

simplify810.0ms (6%)

Memory
-7.3MiB live, 903.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 r r) (*.f64 r r))
cost-diff0
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))
cost-diff0
(-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))))
cost-diff0
(/.f64 (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
cost-diff0
(*.f64 #s(literal -1/4 binary64) w)
cost-diff0
(*.f64 r (*.f64 #s(literal -1/4 binary64) w))
cost-diff0
(*.f64 (*.f64 r (*.f64 #s(literal -1/4 binary64) w)) w)
cost-diff0
(fma.f64 (*.f64 (*.f64 r (*.f64 #s(literal -1/4 binary64) w)) w) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) r)
cost-diff0
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64))
cost-diff384
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
cost-diff0
(*.f64 r w)
cost-diff0
(*.f64 w #s(literal -1/4 binary64))
cost-diff0
(*.f64 r (*.f64 w #s(literal -1/4 binary64)))
cost-diff0
(fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
Rules
27 496×accelerator-lowering-fma.f32
27 496×accelerator-lowering-fma.f64
3 158×*-lowering-*.f32
3 158×*-lowering-*.f64
2 480×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029185
169177
2149169
3276169
4486169
51168169
63113169
74999169
86108169
96372169
106460169
116531169
126547169
136934169
147005169
157014169
167014169
08019167
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (* r (* w -1/4)) (* r w)) (+ -3/2 (/ 2 (* r r))))
(* r (* w -1/4))
r
(* w -1/4)
w
-1/4
(* r w)
(+ -3/2 (/ 2 (* r r)))
-3/2
(/ 2 (* r r))
2
(* r r)
-3/2
(+ (/ (/ 2 r) r) -3/2)
(/ (/ 2 r) r)
(/ 2 r)
2
r
-3/2
(+ (* (* (* r (* -1/4 w)) w) r) (+ (/ 2 (* r r)) -3/2))
(* (* r (* -1/4 w)) w)
(* r (* -1/4 w))
r
(* -1/4 w)
-1/4
w
(+ (/ 2 (* r r)) -3/2)
(/ 2 (* r r))
2
(* r r)
-3/2
(/ (- 9/4 (/ 4 (* (* r r) (* r r)))) (- -3/2 (/ 2 (* r r))))
(- 9/4 (/ 4 (* (* r r) (* r r))))
9/4
(/ 4 (* (* r r) (* r r)))
4
(* (* r r) (* r r))
(* r r)
r
(- -3/2 (/ 2 (* r r)))
-3/2
(/ 2 (* r r))
2
Outputs
(+ (* (* r (* w -1/4)) (* r w)) (+ -3/2 (/ 2 (* r r))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 #s(literal -1/4 binary64) (*.f64 r w)) #s(literal -3/2 binary64)))
(* r (* w -1/4))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
r
(* w -1/4)
(*.f64 w #s(literal -1/4 binary64))
w
-1/4
#s(literal -1/4 binary64)
(* r w)
(*.f64 r w)
(+ -3/2 (/ 2 (* r r)))
(-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r)))
-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)
-3/2
#s(literal -3/2 binary64)
(+ (/ (/ 2 r) r) -3/2)
(-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r)))
(/ (/ 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
-3/2
#s(literal -3/2 binary64)
(+ (* (* (* r (* -1/4 w)) w) r) (+ (/ 2 (* r r)) -3/2))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r w) (*.f64 #s(literal -1/4 binary64) (*.f64 r w)) #s(literal -3/2 binary64)))
(* (* r (* -1/4 w)) w)
(*.f64 w (*.f64 #s(literal -1/4 binary64) (*.f64 r w)))
(* r (* -1/4 w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
r
(* -1/4 w)
(*.f64 w #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
w
(+ (/ 2 (* r r)) -3/2)
(-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r)))
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)
(* r r)
(*.f64 r r)
-3/2
#s(literal -3/2 binary64)
(/ (- 9/4 (/ 4 (* (* r r) (* r r)))) (- -3/2 (/ 2 (* r r))))
(/.f64 (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))))
(- 9/4 (/ 4 (* (* r r) (* r r))))
(-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))))
9/4
#s(literal 9/4 binary64)
(/ 4 (* (* r r) (* r r)))
(/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))
4
#s(literal 4 binary64)
(* (* r r) (* r r))
(*.f64 r (*.f64 r (*.f64 r r)))
(* r r)
(*.f64 r r)
r
(- -3/2 (/ 2 (* r r)))
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r)))
-3/2
#s(literal -3/2 binary64)
(/ 2 (* r r))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
2
#s(literal 2 binary64)

localize195.0ms (1.4%)

Memory
10.6MiB live, 171.0MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))
accuracy99.8%
(*.f64 (*.f64 r r) (*.f64 r r))
accuracy99.5%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy64.3%
(/.f64 (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
accuracy100.0%
(*.f64 #s(literal -1/4 binary64) w)
accuracy99.8%
(*.f64 (*.f64 r (*.f64 #s(literal -1/4 binary64) w)) w)
accuracy99.5%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
accuracy96.3%
(fma.f64 (*.f64 (*.f64 r (*.f64 #s(literal -1/4 binary64) w)) w) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
accuracy100.0%
(/.f64 #s(literal 2 binary64) r)
accuracy100.0%
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64))
accuracy99.8%
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
accuracy100.0%
(*.f64 r w)
accuracy100.0%
(*.f64 r r)
accuracy99.9%
(fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
accuracy99.5%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
Samples
115.0ms256×0valid
Compiler

Compiled 185 to 32 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-mult: 81.0ms (82.9% of total)
ival-div: 8.0ms (8.2% of total)
ival-add: 5.0ms (5.1% of total)
ival-sub: 2.0ms (2% of total)
exact: 1.0ms (1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
-15.4MiB live, 22.2MiB allocated
Counts
17 → 276
Calls
Call 1
Inputs
#<alt (+ (* (* r (* w -1/4)) (* r w)) (+ -3/2 (/ 2 (* r r))))>
#<alt (* r (* w -1/4))>
#<alt (* w -1/4)>
#<alt (* r w)>
#<alt (/ (/ 2 r) r)>
#<alt (+ (/ (/ 2 r) r) -3/2)>
#<alt (/ 2 r)>
#<alt (+ (* (* (* r (* -1/4 w)) w) r) (+ (/ 2 (* r r)) -3/2))>
#<alt (* (* r (* -1/4 w)) w)>
#<alt (* r (* -1/4 w))>
#<alt (* -1/4 w)>
#<alt (/ (- 9/4 (/ 4 (* (* r r) (* r r)))) (- -3/2 (/ 2 (* r r))))>
#<alt (- 9/4 (/ 4 (* (* r r) (* r r))))>
#<alt (/ 4 (* (* r r) (* r r)))>
#<alt (* (* r r) (* r r))>
#<alt (/ 2 (* r r))>
#<alt (* r r)>
Outputs
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (* r w)>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt -3/2>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt -3/2>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 r)>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))>
#<alt (/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* -1/4 (* (pow r 2) (pow w 2)))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r (pow w 2)))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 (* r w))>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (* -1/4 w)>
#<alt (/ 2 (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))>
#<alt -3/2>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt -3/2>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (- (* 2 (/ 1 (pow r 2))) 3/2)>
#<alt (/ -4 (pow r 4))>
#<alt (/ (- (* 9/4 (pow r 4)) 4) (pow r 4))>
#<alt (/ (- (* 9/4 (pow r 4)) 4) (pow r 4))>
#<alt (/ (- (* 9/4 (pow r 4)) 4) (pow r 4))>
#<alt 9/4>
#<alt (- 9/4 (* 4 (/ 1 (pow r 4))))>
#<alt (- 9/4 (* 4 (/ 1 (pow r 4))))>
#<alt (- 9/4 (* 4 (/ 1 (pow r 4))))>
#<alt 9/4>
#<alt (- 9/4 (* 4 (/ 1 (pow r 4))))>
#<alt (- 9/4 (* 4 (/ 1 (pow r 4))))>
#<alt (- 9/4 (* 4 (/ 1 (pow r 4))))>
#<alt (/ 4 (pow r 4))>
#<alt (/ 4 (pow r 4))>
#<alt (/ 4 (pow r 4))>
#<alt (/ 4 (pow r 4))>
#<alt (/ 4 (pow r 4))>
#<alt (/ 4 (pow r 4))>
#<alt (/ 4 (pow r 4))>
#<alt (/ 4 (pow r 4))>
#<alt (/ 4 (pow r 4))>
#<alt (/ 4 (pow r 4))>
#<alt (/ 4 (pow r 4))>
#<alt (/ 4 (pow r 4))>
#<alt (pow r 4)>
#<alt (pow r 4)>
#<alt (pow r 4)>
#<alt (pow r 4)>
#<alt (pow r 4)>
#<alt (pow r 4)>
#<alt (pow r 4)>
#<alt (pow r 4)>
#<alt (pow r 4)>
#<alt (pow r 4)>
#<alt (pow r 4)>
#<alt (pow r 4)>
#<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)>
Calls

69 calls:

TimeVariablePointExpression
1.0ms
r
@0
(/ (- 9/4 (/ 4 (* (* r r) (* r r)))) (- -3/2 (/ 2 (* r r))))
0.0ms
r
@inf
(/ (- 9/4 (/ 4 (* (* r r) (* r r)))) (- -3/2 (/ 2 (* r r))))
0.0ms
r
@0
(/ 4 (* (* r r) (* r r)))
0.0ms
w
@0
(* r (* w -1/4))
0.0ms
r
@0
(* (* r (* -1/4 w)) w)

rewrite444.0ms (3.3%)

Memory
-31.5MiB live, 719.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 346×accelerator-lowering-fma.f32
5 346×accelerator-lowering-fma.f64
5 130×*-lowering-*.f32
5 130×*-lowering-*.f64
4 884×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029111
1192105
21459101
0836794
Stop Event
iter limit
node limit
Counts
17 → 729
Calls
Call 1
Inputs
(+ (* (* r (* w -1/4)) (* r w)) (+ -3/2 (/ 2 (* r r))))
(* r (* w -1/4))
(* w -1/4)
(* r w)
(/ (/ 2 r) r)
(+ (/ (/ 2 r) r) -3/2)
(/ 2 r)
(+ (* (* (* r (* -1/4 w)) w) r) (+ (/ 2 (* r r)) -3/2))
(* (* r (* -1/4 w)) w)
(* r (* -1/4 w))
(* -1/4 w)
(/ (- 9/4 (/ 4 (* (* r r) (* r r)))) (- -3/2 (/ 2 (* r r))))
(- 9/4 (/ 4 (* (* r r) (* r r))))
(/ 4 (* (* r r) (* r r)))
(* (* r r) (* r r))
(/ 2 (* r r))
(* r r)
Outputs
(+.f64 (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64)))
(+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w)))))
(+.f64 (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))
(+.f64 (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(-.f64 (/.f64 (*.f64 (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w)))) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))))) (-.f64 (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (/.f64 (*.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (-.f64 (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (-.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w)))))) (/.f64 (*.f64 (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w)))) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))))) (-.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w)))))))
(-.f64 (/.f64 (*.f64 (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (-.f64 (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))) (/.f64 #s(literal 9/4 binary64) (-.f64 (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -3/2 binary64))))
(-.f64 (/.f64 (*.f64 (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64)) (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64))) (-.f64 (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) (-.f64 (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(fma.f64 r (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 r w) (*.f64 #s(literal -1/4 binary64) (*.f64 r w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r r)) (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 r r) (*.f64 w (*.f64 w #s(literal -1/4 binary64))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 r (*.f64 w (*.f64 w #s(literal -1/4 binary64)))) r (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (neg.f64 r))) (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) r)) r) (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64)))
(fma.f64 (+.f64 #s(literal -9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w)))))
(fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 #s(literal 1 binary64) (neg.f64 r)) (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64)))
(fma.f64 (+.f64 #s(literal -27/8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r r) (*.f64 r (*.f64 r (*.f64 r r)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 r r)) #s(literal -3 binary64)) (*.f64 r r)))) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w)))))
(fma.f64 (+.f64 #s(literal -27/8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r r) (*.f64 r (*.f64 r (*.f64 r r)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) (+.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))) #s(literal 81/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/4 binary64)))) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w)))))
(fma.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 2 binary64) r) (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (/.f64 #s(literal 1 binary64) r) #s(literal 1/2 binary64)) (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal 2 binary64) (fma.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) #s(literal -3/2 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))))) #s(literal -1 binary64)) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w)))))
(fma.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) #s(literal -9/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w)))))
(fma.f64 (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w)))))
(fma.f64 (+.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w)))))
(fma.f64 (*.f64 r #s(literal -1/4 binary64)) (*.f64 w (*.f64 r w)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w))) w (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 (*.f64 r w) (*.f64 r w)) #s(literal -1/4 binary64) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 (*.f64 r w) r) (*.f64 w #s(literal -1/4 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (/.f64 (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))) (-.f64 #s(literal -27/8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r r) (*.f64 r (*.f64 r (*.f64 r r))))))) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/4 binary64)) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w)))))
(fma.f64 (/.f64 (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))) (-.f64 #s(literal -27/8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 r r) (*.f64 r (*.f64 r (*.f64 r r))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/4 binary64)))) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w)))))
(fma.f64 (/.f64 (+.f64 #s(literal -9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))) (+.f64 #s(literal -9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w)))))
(fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 r r))) (+.f64 #s(literal 729/64 binary64) (/.f64 #s(literal -64 binary64) (*.f64 (*.f64 r (*.f64 r (*.f64 r r))) (*.f64 (*.f64 r (*.f64 r (*.f64 r r))) (*.f64 r (*.f64 r (*.f64 r r)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) (+.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))) #s(literal 81/16 binary64))) (*.f64 w (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 r w)))))
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(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) r) (*.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (*.f64 r #s(literal 1/2 binary64))))
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (*.f64 r r))) (pow.f64 (/.f64 r #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 2 binary64) r)) (/.f64 #s(literal 1 binary64) (*.f64 r r)))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 2 binary64) r)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 r)) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 r r)))
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(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) r) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) r))
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(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 r #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) r))
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(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 r #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (neg.f64 r)))
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(*.f64 (/.f64 #s(literal -2 binary64) (/.f64 r #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (neg.f64 r))) (neg.f64 r)))
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) r) (*.f64 r r)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 r)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) r) (*.f64 r #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 r)) r))
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 r #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 r)) (*.f64 r #s(literal 1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 r #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 r)) (neg.f64 r)))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 r #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) r))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) r) (/.f64 #s(literal 2 binary64) r))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 r #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (neg.f64 r)))
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 r #s(literal -2 binary64))) (/.f64 #s(literal -2 binary64) (*.f64 r r)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (/.f64 r #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r #s(literal 1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) (/.f64 r #s(literal -2 binary64))) (/.f64 #s(literal -2 binary64) r))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r r) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 r r)))
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (*.f64 r r) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) r))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) r) (*.f64 r r)))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 r r)))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 r r)) #s(literal 2 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 r #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) r))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 r #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 r)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 r)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 r) #s(literal 4 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 r) (*.f64 #s(literal 2 binary64) (log.f64 r))))
(pow.f64 r #s(literal 4 binary64))
(pow.f64 (*.f64 r r) #s(literal 2 binary64))
(pow.f64 (*.f64 r (*.f64 r (*.f64 r r))) #s(literal 1 binary64))
(pow.f64 (*.f64 r (neg.f64 r)) #s(literal 2 binary64))
(*.f64 r (*.f64 r (*.f64 r r)))
(*.f64 (*.f64 r r) (*.f64 r r))
(*.f64 (*.f64 r (neg.f64 r)) (*.f64 r (neg.f64 r)))
(*.f64 (*.f64 r (*.f64 r r)) r)
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 r)) (/.f64 #s(literal -2 binary64) (*.f64 r r)))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 r (neg.f64 r))))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(/.f64 (/.f64 #s(literal 2 binary64) r) (neg.f64 (neg.f64 r)))
(/.f64 #s(literal -2 binary64) (*.f64 r (neg.f64 r)))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (*.f64 r (neg.f64 r)))))
(/.f64 (/.f64 #s(literal -2 binary64) r) (neg.f64 r))
(/.f64 (/.f64 #s(literal -2 binary64) r) (neg.f64 (neg.f64 (neg.f64 r))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r r) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 r #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) r) #s(literal 1 binary64)) r)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) r)) (neg.f64 (*.f64 r #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) r) #s(literal 1 binary64))) (neg.f64 r))
(pow.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 r r) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r r)))
(*.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 r (neg.f64 r))))
(*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) r)) r))
(*.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 #s(literal 1 binary64) (neg.f64 r)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(*.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 2 binary64) r))
(*.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 (/.f64 #s(literal 1 binary64) r) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 r r)) #s(literal 2 binary64))
(*.f64 (pow.f64 (/.f64 r #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 r)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 r)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 r)) #s(literal 1 binary64)))
(pow.f64 r #s(literal 2 binary64))
(pow.f64 (*.f64 r r) #s(literal 1 binary64))
(pow.f64 (neg.f64 r) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 r)) #s(literal 2 binary64))
(*.f64 r r)
(*.f64 (neg.f64 r) (neg.f64 r))
(*.f64 (exp.f64 (log.f64 r)) (exp.f64 (log.f64 r)))

simplify324.0ms (2.4%)

Memory
30.4MiB live, 585.2MiB allocated
Algorithm
egg-herbie
Rules
7 842×accelerator-lowering-fma.f32
7 842×accelerator-lowering-fma.f64
4 462×*-lowering-*.f32
4 462×*-lowering-*.f64
2 676×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0571974
11231974
22931938
36601818
416941818
537081818
658451714
080501654
Stop Event
iter limit
node limit
Counts
276 → 276
Calls
Call 1
Inputs
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(* r w)
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (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 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 r)
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* -1/4 (* (pow r 2) (pow w 2)))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r (pow w 2)))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 (* r w))
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(* -1/4 w)
(/ 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)
(/ -4 (pow r 4))
(/ (- (* 9/4 (pow r 4)) 4) (pow r 4))
(/ (- (* 9/4 (pow r 4)) 4) (pow r 4))
(/ (- (* 9/4 (pow r 4)) 4) (pow r 4))
9/4
(- 9/4 (* 4 (/ 1 (pow r 4))))
(- 9/4 (* 4 (/ 1 (pow r 4))))
(- 9/4 (* 4 (/ 1 (pow r 4))))
9/4
(- 9/4 (* 4 (/ 1 (pow r 4))))
(- 9/4 (* 4 (/ 1 (pow r 4))))
(- 9/4 (* 4 (/ 1 (pow r 4))))
(/ 4 (pow r 4))
(/ 4 (pow r 4))
(/ 4 (pow r 4))
(/ 4 (pow r 4))
(/ 4 (pow r 4))
(/ 4 (pow r 4))
(/ 4 (pow r 4))
(/ 4 (pow r 4))
(/ 4 (pow r 4))
(/ 4 (pow r 4))
(/ 4 (pow r 4))
(/ 4 (pow r 4))
(pow r 4)
(pow r 4)
(pow r 4)
(pow r 4)
(pow r 4)
(pow r 4)
(pow r 4)
(pow r 4)
(pow r 4)
(pow r 4)
(pow r 4)
(pow r 4)
(/ 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)
Outputs
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))
(* -1/4 (* (pow r 2) (pow w 2)))
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) #s(literal -3/2 binary64))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(* -1/4 (* (pow r 2) (pow w 2)))
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) #s(literal -3/2 binary64))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(* -1/4 (* (pow r 2) (pow w 2)))
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(* -1/4 (* (pow r 2) (pow w 2)))
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 w)
(*.f64 #s(literal -1/4 binary64) w)
(* -1/4 w)
(*.f64 #s(literal -1/4 binary64) w)
(* -1/4 w)
(*.f64 #s(literal -1/4 binary64) w)
(* -1/4 w)
(*.f64 #s(literal -1/4 binary64) w)
(* -1/4 w)
(*.f64 #s(literal -1/4 binary64) w)
(* -1/4 w)
(*.f64 #s(literal -1/4 binary64) w)
(* -1/4 w)
(*.f64 #s(literal -1/4 binary64) w)
(* -1/4 w)
(*.f64 #s(literal -1/4 binary64) w)
(* -1/4 w)
(*.f64 #s(literal -1/4 binary64) w)
(* -1/4 w)
(*.f64 #s(literal -1/4 binary64) w)
(* -1/4 w)
(*.f64 #s(literal -1/4 binary64) w)
(* -1/4 w)
(*.f64 #s(literal -1/4 binary64) w)
(* r w)
(*.f64 r w)
(* r w)
(*.f64 r w)
(* r w)
(*.f64 r w)
(* r w)
(*.f64 r w)
(* r w)
(*.f64 r w)
(* r w)
(*.f64 r w)
(* r w)
(*.f64 r w)
(* r w)
(*.f64 r w)
(* r w)
(*.f64 r w)
(* r w)
(*.f64 r w)
(* r w)
(*.f64 r w)
(* r w)
(*.f64 r w)
(* r w)
(*.f64 r w)
(* r w)
(*.f64 r w)
(* r w)
(*.f64 r w)
(* r w)
(*.f64 r w)
(* r w)
(*.f64 r w)
(* r w)
(*.f64 r w)
(* r w)
(*.f64 r w)
(* r w)
(*.f64 r w)
(* r w)
(*.f64 r w)
(* r w)
(*.f64 r w)
(* r w)
(*.f64 r w)
(* r w)
(*.f64 r w)
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
-3/2
#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)))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
-3/2
#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)))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/ 2 r)
(/.f64 #s(literal 2 binary64) r)
(/ 2 r)
(/.f64 #s(literal 2 binary64) r)
(/ 2 r)
(/.f64 #s(literal 2 binary64) r)
(/ 2 r)
(/.f64 #s(literal 2 binary64) r)
(/ 2 r)
(/.f64 #s(literal 2 binary64) r)
(/ 2 r)
(/.f64 #s(literal 2 binary64) r)
(/ 2 r)
(/.f64 #s(literal 2 binary64) r)
(/ 2 r)
(/.f64 #s(literal 2 binary64) r)
(/ 2 r)
(/.f64 #s(literal 2 binary64) r)
(/ 2 r)
(/.f64 #s(literal 2 binary64) r)
(/ 2 r)
(/.f64 #s(literal 2 binary64) r)
(/ 2 r)
(/.f64 #s(literal 2 binary64) r)
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (*.f64 r r) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))
(* -1/4 (* (pow r 2) (pow w 2)))
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) #s(literal -3/2 binary64))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(* -1/4 (* (pow r 2) (pow w 2)))
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))))
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) #s(literal -3/2 binary64))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2)
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(* -1/4 (* (pow r 2) (pow w 2)))
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(* -1/4 (* (pow r 2) (pow w 2)))
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(* -1/4 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(* -1/4 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(* -1/4 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(* -1/4 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(* -1/4 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(* -1/4 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(* -1/4 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(* -1/4 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(* -1/4 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(* -1/4 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(* -1/4 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(* -1/4 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(* -1/4 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(* -1/4 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(* -1/4 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(* -1/4 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(* -1/4 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(* -1/4 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(* -1/4 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(* -1/4 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(* -1/4 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(* -1/4 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(* -1/4 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(* -1/4 (* r (pow w 2)))
(*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 (* r w))
(*.f64 #s(literal -1/4 binary64) (*.f64 r w))
(* -1/4 w)
(*.f64 #s(literal -1/4 binary64) w)
(* -1/4 w)
(*.f64 #s(literal -1/4 binary64) w)
(* -1/4 w)
(*.f64 #s(literal -1/4 binary64) w)
(* -1/4 w)
(*.f64 #s(literal -1/4 binary64) w)
(* -1/4 w)
(*.f64 #s(literal -1/4 binary64) w)
(* -1/4 w)
(*.f64 #s(literal -1/4 binary64) w)
(* -1/4 w)
(*.f64 #s(literal -1/4 binary64) w)
(* -1/4 w)
(*.f64 #s(literal -1/4 binary64) w)
(* -1/4 w)
(*.f64 #s(literal -1/4 binary64) w)
(* -1/4 w)
(*.f64 #s(literal -1/4 binary64) w)
(* -1/4 w)
(*.f64 #s(literal -1/4 binary64) w)
(* -1/4 w)
(*.f64 #s(literal -1/4 binary64) w)
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
-3/2
#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)))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
-3/2
#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)))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/ -4 (pow r 4))
(/.f64 #s(literal -4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))
(/ (- (* 9/4 (pow r 4)) 4) (pow r 4))
(+.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))))
(/ (- (* 9/4 (pow r 4)) 4) (pow r 4))
(+.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))))
(/ (- (* 9/4 (pow r 4)) 4) (pow r 4))
(+.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))))
9/4
#s(literal 9/4 binary64)
(- 9/4 (* 4 (/ 1 (pow r 4))))
(+.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))))
(- 9/4 (* 4 (/ 1 (pow r 4))))
(+.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))))
(- 9/4 (* 4 (/ 1 (pow r 4))))
(+.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))))
9/4
#s(literal 9/4 binary64)
(- 9/4 (* 4 (/ 1 (pow r 4))))
(+.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))))
(- 9/4 (* 4 (/ 1 (pow r 4))))
(+.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))))
(- 9/4 (* 4 (/ 1 (pow r 4))))
(+.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))))
(/ 4 (pow r 4))
(/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))
(/ 4 (pow r 4))
(/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))
(/ 4 (pow r 4))
(/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))
(/ 4 (pow r 4))
(/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))
(/ 4 (pow r 4))
(/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))
(/ 4 (pow r 4))
(/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))
(/ 4 (pow r 4))
(/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))
(/ 4 (pow r 4))
(/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))
(/ 4 (pow r 4))
(/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))
(/ 4 (pow r 4))
(/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))
(/ 4 (pow r 4))
(/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))
(/ 4 (pow r 4))
(/.f64 #s(literal 4 binary64) (*.f64 r (*.f64 r (*.f64 r r))))
(pow r 4)
(*.f64 r (*.f64 r (*.f64 r r)))
(pow r 4)
(*.f64 r (*.f64 r (*.f64 r r)))
(pow r 4)
(*.f64 r (*.f64 r (*.f64 r r)))
(pow r 4)
(*.f64 r (*.f64 r (*.f64 r r)))
(pow r 4)
(*.f64 r (*.f64 r (*.f64 r r)))
(pow r 4)
(*.f64 r (*.f64 r (*.f64 r r)))
(pow r 4)
(*.f64 r (*.f64 r (*.f64 r r)))
(pow r 4)
(*.f64 r (*.f64 r (*.f64 r r)))
(pow r 4)
(*.f64 r (*.f64 r (*.f64 r r)))
(pow r 4)
(*.f64 r (*.f64 r (*.f64 r r)))
(pow r 4)
(*.f64 r (*.f64 r (*.f64 r r)))
(pow r 4)
(*.f64 r (*.f64 r (*.f64 r r)))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)

eval190.0ms (1.4%)

Memory
29.4MiB live, 290.9MiB allocated
Compiler

Compiled 33 498 to 1 841 computations (94.5% saved)

prune118.0ms (0.9%)

Memory
-37.1MiB live, 261.2MiB allocated
Pruning

20 alts after pruning (13 fresh and 7 done)

PrunedKeptTotal
New1 17521 177
Fresh11112
Picked145
Done033
Total1 177201 197
Accuracy
100.0%
Counts
1 197 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.4%
(fma.f64 (*.f64 (*.f64 r (*.f64 #s(literal -1/4 binary64) w)) w) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
47.6%
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64))
96.3%
(fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
46.6%
(fma.f64 (*.f64 r r) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (*.f64 w w))) #s(literal -3/2 binary64))
47.5%
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
9.5%
(/.f64 (/.f64 #s(literal -4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
37.1%
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 (*.f64 r r) w) (neg.f64 w))) (-.f64 #s(literal 1 binary64) v))
47.4%
(/.f64 #s(literal 2 binary64) (*.f64 r r))
95.6%
(-.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (neg.f64 (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64))
56.7%
(-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64))
49.8%
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
49.4%
(-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
95.6%
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
58.3%
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64))
83.3%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))
58.2%
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
30.5%
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))
35.8%
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))
36.8%
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))))
12.0%
#s(literal -3/2 binary64)
Compiler

Compiled 1 233 to 434 computations (64.8% saved)

regimes154.0ms (1.1%)

Memory
15.4MiB live, 132.7MiB allocated
Counts
49 → 2
Calls
Call 1
Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))))
(*.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64))
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64))
(-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (*.f64 r (*.f64 #s(literal -1/4 binary64) w)) w) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 (*.f64 r r) w) (neg.f64 w))) (-.f64 #s(literal 1 binary64) v))
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64))
(fma.f64 (*.f64 r r) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (*.f64 w w))) #s(literal -3/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) #s(literal 9/2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 (/.f64 #s(literal 2 binary64) r) r)))
(-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(/.f64 (/.f64 #s(literal -4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(/.f64 (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (neg.f64 (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64))
(*.f64 (*.f64 w w) (/.f64 (fma.f64 (*.f64 r r) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (*.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) (*.f64 r w)) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 w (*.f64 (*.f64 r w) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.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))
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(*.f64 (*.f64 w w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r (*.f64 r (*.f64 w w)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 r (*.f64 r (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))))
(fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))
(-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r))) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 r r) (*.f64 w w)))))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(fma.f64 (*.f64 r r) (fma.f64 #s(literal -1/4 binary64) (*.f64 w w) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64))
(fma.f64 (*.f64 r r) (fma.f64 w (*.f64 w #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) #s(literal -3/2 binary64))
(fma.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64))
Outputs
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 (/.f64 #s(literal 2 binary64) r) r)))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
Calls

6 calls:

55.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
43.0ms
w
14.0ms
(*.f64 w w)
14.0ms
r
14.0ms
v
Results
AccuracySegmentsBranch
98.4%2v
99.5%2w
99.6%2r
98.4%2(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
98.4%2(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
99.5%2(*.f64 w w)
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes61.0ms (0.4%)

Memory
-15.3MiB live, 140.0MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))))
(*.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64))
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64))
(-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (*.f64 r (*.f64 #s(literal -1/4 binary64) w)) w) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 (*.f64 r r) w) (neg.f64 w))) (-.f64 #s(literal 1 binary64) v))
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64))
(fma.f64 (*.f64 r r) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (*.f64 w w))) #s(literal -3/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) #s(literal 9/2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 (/.f64 #s(literal 2 binary64) r) r)))
(-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(/.f64 (/.f64 #s(literal -4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(/.f64 (-.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 r r) (*.f64 r r)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
Outputs
(fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(fma.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
Calls

6 calls:

12.0ms
v
11.0ms
w
10.0ms
r
9.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
9.0ms
(*.f64 w w)
Results
AccuracySegmentsBranch
99.8%3v
96.3%1(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
96.3%1(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
96.3%1w
96.3%1(*.f64 w w)
96.3%1r
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes40.0ms (0.3%)

Memory
3.2MiB live, 75.8MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))))
(*.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64))
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64))
(-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (*.f64 r (*.f64 #s(literal -1/4 binary64) w)) w) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 (*.f64 r r) w) (neg.f64 w))) (-.f64 #s(literal 1 binary64) v))
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) #s(literal 3 binary64))) #s(literal 9/2 binary64))
(fma.f64 (*.f64 r r) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (*.f64 w w))) #s(literal -3/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal 3/8 binary64)))) #s(literal 9/2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (*.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 (/.f64 #s(literal 2 binary64) r) r)))
(-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (*.f64 (*.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r (*.f64 (*.f64 r w) w)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))
(fma.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(/.f64 (/.f64 #s(literal -4 binary64) (*.f64 r (*.f64 r (*.f64 r r)))) (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
Outputs
(fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
Calls

4 calls:

12.0ms
r
10.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
9.0ms
v
8.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Results
AccuracySegmentsBranch
96.3%1r
96.3%1(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
96.3%1(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
96.3%1v
Compiler

Compiled 70 to 48 computations (31.4% saved)

regimes40.0ms (0.3%)

Memory
1.5MiB live, 80.6MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))))
(*.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64))
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64))
(-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w w) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))
Outputs
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))
Calls

6 calls:

12.0ms
w
7.0ms
r
5.0ms
v
5.0ms
(*.f64 w w)
5.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Results
AccuracySegmentsBranch
92.5%1w
92.5%1(*.f64 w w)
92.5%1v
92.5%1r
92.5%1(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
92.5%1(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes32.0ms (0.2%)

Memory
-0.1MiB live, 75.7MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))))
(*.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64))
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64))
(-.f64 (/.f64 (fma.f64 r (*.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 (*.f64 r (*.f64 r (*.f64 w w))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))
Outputs
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64))
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64))
Calls

6 calls:

6.0ms
r
6.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
5.0ms
w
5.0ms
v
4.0ms
(*.f64 w w)
Results
AccuracySegmentsBranch
87.6%2r
64.2%4v
70.5%2w
93.6%2(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
93.6%2(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
70.5%2(*.f64 w w)
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes8.0ms (0.1%)

Memory
19.7MiB live, 19.7MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))))
(*.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64))
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
Outputs
(fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64))
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
Calls

2 calls:

4.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
3.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Results
AccuracySegmentsBranch
93.6%2(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
93.6%2(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Compiler

Compiled 62 to 42 computations (32.3% saved)

regimes7.0ms (0.1%)

Memory
16.8MiB live, 16.8MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))))
(*.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))
(*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 r r) (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) #s(literal -3/2 binary64))
Outputs
(*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w))))
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
Calls

2 calls:

3.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
3.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Results
AccuracySegmentsBranch
92.2%2(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
92.2%2(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Compiler

Compiled 62 to 42 computations (32.3% saved)

regimes16.0ms (0.1%)

Memory
1.0MiB live, 37.7MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 9/2 binary64))
Outputs
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
Calls

6 calls:

4.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
2.0ms
w
2.0ms
v
2.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
2.0ms
r
Results
AccuracySegmentsBranch
58.2%1v
58.2%1w
58.2%1(*.f64 w w)
58.2%1r
58.2%1(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
58.2%1(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes22.0ms (0.2%)

Memory
-23.9MiB live, 23.7MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal -3/2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
Outputs
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal -3/2 binary64)
Calls

6 calls:

13.0ms
(*.f64 w w)
2.0ms
w
2.0ms
v
2.0ms
r
1.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
Results
AccuracySegmentsBranch
57.9%2(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
57.9%2(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
47.4%1v
58.1%2r
47.4%1w
47.4%1(*.f64 w w)
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes11.0ms (0.1%)

Memory
-1.6MiB live, 34.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

4.0ms
w
1.0ms
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
1.0ms
v
1.0ms
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
1.0ms
r
Results
AccuracySegmentsBranch
12.0%1v
12.0%1(*.f64 w w)
12.0%1w
12.0%1(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
12.0%1(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
12.0%1r
Compiler

Compiled 80 to 55 computations (31.3% saved)

bsearch25.0ms (0.2%)

Memory
21.2MiB live, 56.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
2.4556025345397345e-52
1.0350954179683034e-48
Samples
17.0ms128×0valid
Compiler

Compiled 427 to 308 computations (27.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (52.3% of total)
ival-div: 2.0ms (20.9% of total)
ival-sub: 2.0ms (20.9% of total)
ival-add: 1.0ms (10.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch43.0ms (0.3%)

Memory
7.0MiB live, 88.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
0.22144456959848977
6.842418393851395
16.0ms
-1.7116073659760607e+44
-8.116225326053558e+41
Samples
30.0ms224×0valid
Compiler

Compiled 721 to 504 computations (30.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 9.0ms (53.8% of total)
ival-sub: 4.0ms (23.9% of total)
ival-div: 3.0ms (17.9% of total)
ival-add: 1.0ms (6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
-37.5MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.0
15892046800364.037
Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.0
15892046800364.037
Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-73342.57996809139
2.9999999999956524
Compiler

Compiled 35 to 28 computations (20% saved)

bsearch24.0ms (0.2%)

Memory
19.6MiB live, 58.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
3.547521859044429e-7
13.272367939528392
Samples
16.0ms144×0valid
Compiler

Compiled 161 to 136 computations (15.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 5.0ms (40.6% of total)
ival-div: 2.0ms (16.2% of total)
ival-sub: 2.0ms (16.2% of total)
ival-add: 2.0ms (16.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify27.0ms (0.2%)

Memory
-3.4MiB live, 35.1MiB allocated
Algorithm
egg-herbie
Rules
276×unsub-neg_binary64
196×neg-mul-1_binary64
112×distribute-lft-neg-in_binary64
106×*-commutative_binary64
92×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077302
1119302
2151302
3187302
4238302
5305302
6449302
7664302
8800302
9830302
10833302
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 r #s(literal 6318737500113431/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 (/.f64 #s(literal 2 binary64) r) r))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(if (<=.f64 v #s(literal -849999999999999937570227584427381932163072 binary64)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (if (<=.f64 v #s(literal 3/2 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 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (fma.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
(fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 5 binary64)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64)))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 5 binary64)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -50000 binary64)) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(if (<=.f64 r #s(literal 2589569785738035/2251799813685248 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
Outputs
(if (<=.f64 r #s(literal 6318737500113431/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 (/.f64 #s(literal 2 binary64) r) r))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (/.f64 (*.f64 r (*.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(if (<=.f64 v #s(literal -849999999999999937570227584427381932163072 binary64)) (fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (if (<=.f64 v #s(literal 3/2 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 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (fma.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)) (*.f64 r w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
(if (<=.f64 v #s(literal -849999999999999937570227584427381932163072 binary64)) (fma.f64 (*.f64 r (*.f64 #s(literal -1/4 binary64) w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) (if (<=.f64 v #s(literal 3/2 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 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (fma.f64 (*.f64 (*.f64 r w) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
(fma.f64 (*.f64 r (*.f64 w #s(literal -1/4 binary64))) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(fma.f64 (*.f64 r (*.f64 #s(literal -1/4 binary64) w)) (*.f64 r w) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 5 binary64)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal -3/2 binary64)))
(if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal 5 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) w) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) r) r)))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 5 binary64)) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal 5 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) w) (*.f64 r (*.f64 r w)) #s(literal -3/2 binary64)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -50000 binary64)) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 r (*.f64 r (*.f64 w w)))) (+.f64 v #s(literal -1 binary64)))) #s(literal -50000 binary64)) (*.f64 r (*.f64 r (*.f64 #s(literal -1/4 binary64) (*.f64 w w)))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(if (<=.f64 r #s(literal 2589569785738035/2251799813685248 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
#s(literal -3/2 binary64)

soundness1.8s (13.4%)

Memory
9.3MiB live, 1 362.3MiB allocated
Rules
25 310×accelerator-lowering-fma.f32
25 310×accelerator-lowering-fma.f64
16 286×accelerator-lowering-fma.f32
16 286×accelerator-lowering-fma.f64
14 382×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0571974
11231974
22931938
36601818
416941818
537081818
658451714
080501654
052210126
116579540
254199304
081828745
050292
1341288
23685288
09549264
036173
1251171
22471171
09392158
02686398
18445906
228855285
081085052
022114
1135104
21339104
0895194
02274018
17453856
225743578
082093390
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 794 to 425 computations (46.5% saved)

preprocess135.0ms (1%)

Memory
-0.7MiB live, 156.1MiB allocated
Remove

(abs r)

(abs w)

Compiler

Compiled 1 234 to 482 computations (60.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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